{"id":2858,"date":"2025-11-18T21:25:56","date_gmt":"2025-11-18T17:25:56","guid":{"rendered":"https:\/\/windowedu.in\/blog\/?p=2858"},"modified":"2025-11-18T21:33:59","modified_gmt":"2025-11-18T17:33:59","slug":"kerala-psc-maths-part-4","status":"publish","type":"post","link":"https:\/\/windowedu.in\/blog\/?p=2858","title":{"rendered":"Kerala PSC maths part 4"},"content":{"rendered":"\n<div style=\"max-width: 800px; margin: auto; background: #f5f9ff; border: 2px solid #1976d2; border-radius: 16px; padding: 30px 24px; font-family: 'Segoe UI', sans-serif; color: #333; box-shadow: 0 6px 16px rgba(0, 0, 0, 0.05); animation: fadeUp 1s ease-out;\">\n  <h2 style=\"text-align: center; font-size: 28px; color: #0d47a1; margin-bottom: 20px;\">\ud83d\ude80 PSC Crack \u0d1a\u0d46\u0d2f\u0d4d\u0d2f\u0d3e\u0d7b Everything You Need \u2013 All in One Place!<\/h2>\n\n  <p style=\"font-size: 18px; text-align: center;\">\n    Join our learning ecosystem built for modern aspirants who want speed, clarity &#038; results!\n  <\/p>\n\n  <ul style=\"list-style: none; padding: 0; margin: 20px 0; font-size: 17px; line-height: 1.8;\">\n    <li>\u2705 Daily Exams \u2013 Practice Makes Ranks!<\/li>\n    <li>\u2705 Detailed, Crisp Notes \u2013 Easy to Revise<\/li>\n    <li>\u2705 Video Classes \u2013 Live + Recorded Lessons<\/li>\n    <li>\u2705 Latest PSC Updates &#038; Alerts<\/li>\n    <li>\u2705 One-Stop Hub for All Kerala PSC Preparation<\/li>\n  <\/ul>\n\n  <div style=\"text-align: center; margin-top: 24px;\">\n    <a href=\"https:\/\/t.me\/windowedu\" target=\"_blank\" style=\"display: inline-block; background: #1976d2; color: #fff; font-weight: bold; padding: 12px 28px; border-radius: 8px; text-decoration: none; margin: 8px; box-shadow: 0 4px 10px rgba(0,0,0,0.1); transition: background 0.3s;\">\ud83d\udcf2 Join Telegram<\/a>\n    <a href=\"https:\/\/pschub.windowedu.in\/\" target=\"_blank\" style=\"display: inline-block; background: #1976d2; color: #fff; font-weight: bold; padding: 12px 28px; border-radius: 8px; text-decoration: none; margin: 8px; box-shadow: 0 4px 10px rgba(0,0,0,0.1); transition: background 0.3s;\">\ud83c\udf10 Visit PSC Hub<\/a>\n    <a href=\"https:\/\/www.youtube.com\/@Windoweduplus\" target=\"_blank\" style=\"display: inline-block; background: #1976d2; color: #fff; font-weight: bold; padding: 12px 28px; border-radius: 8px; text-decoration: none; margin: 8px; box-shadow: 0 4px 10px rgba(0,0,0,0.1); transition: background 0.3s;\">\ud83d\udcfa Watch on YouTube<\/a>\n  <\/div>\n\n  <p style=\"text-align: center; font-weight: bold; margin-top: 24px; color: #2e7d32;\">\n    \ud83d\udd25 Join the smart side of PSC learning \u2014 Study Smarter, Rank Faster!\n  <\/p>\n<\/div>\n\n<style>\n@keyframes fadeUp {\n  from {\n    opacity: 0;\n    transform: translateY(30px);\n  }\n  to {\n    opacity: 1;\n    transform: translateY(0);\n  }\n}\n<\/style>\n\n\n\n\n<style>\n.psc-container {\n  max-width: 100%;\n  padding: 15px;\n  font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Arial, sans-serif;\n  line-height: 1.6;\n}\n\n.question-card {\n  background: #f8f9fa;\n  border-left: 4px solid #0066cc;\n  padding: 15px;\n  margin-bottom: 25px;\n  border-radius: 8px;\n  box-shadow: 0 2px 4px rgba(0,0,0,0.1);\n}\n\n.question-header {\n  background: #0066cc;\n  color: white;\n  padding: 10px 15px;\n  margin: -15px -15px 15px -15px;\n  border-radius: 4px 4px 0 0;\n  font-weight: bold;\n  font-size: 16px;\n}\n\n.question-text {\n  font-size: 16px;\n  font-weight: 600;\n  color: #333;\n  margin: 10px 0;\n  line-height: 1.8;\n}\n\n.options {\n  margin: 15px 0;\n  padding-left: 0;\n}\n\n.option-item {\n  background: white;\n  padding: 10px;\n  margin: 8px 0;\n  border-radius: 5px;\n  border: 1px solid #ddd;\n  display: block;\n  font-size: 15px;\n}\n\n.shortcut-box {\n  background: #fff3cd;\n  border-left: 4px solid #ffc107;\n  padding: 12px;\n  margin: 15px 0;\n  border-radius: 5px;\n}\n\n.shortcut-title {\n  font-weight: bold;\n  color: #856404;\n  margin-bottom: 8px;\n  font-size: 15px;\n}\n\n.logic-text {\n  color: #555;\n  font-style: italic;\n  margin: 8px 0;\n  font-size: 14px;\n}\n\n.steps {\n  background: white;\n  padding: 12px;\n  margin: 10px 0;\n  border-radius: 5px;\n  border: 1px solid #ddd;\n}\n\n.step-item {\n  margin: 8px 0;\n  padding-left: 20px;\n  position: relative;\n  font-size: 14px;\n}\n\n.answer-box {\n  background: #d4edda;\n  border: 2px solid #28a745;\n  padding: 12px;\n  margin: 15px 0;\n  border-radius: 5px;\n  font-weight: bold;\n  color: #155724;\n  text-align: center;\n  font-size: 16px;\n}\n\n.extra-practice {\n  background: #e7f3ff;\n  border: 1px solid #0066cc;\n  padding: 12px;\n  margin: 15px 0;\n  border-radius: 5px;\n}\n\n.extra-title {\n  font-weight: bold;\n  color: #0066cc;\n  margin-bottom: 10px;\n  font-size: 15px;\n}\n\n.extra-question {\n  background: white;\n  padding: 10px;\n  margin: 10px 0;\n  border-radius: 5px;\n  border-left: 3px solid #0066cc;\n  font-size: 14px;\n  line-height: 1.6;\n}\n\n.formula {\n  background: #fff;\n  border: 2px dashed #0066cc;\n  padding: 10px;\n  margin: 10px 0;\n  text-align: center;\n  font-family: 'Courier New', monospace;\n  font-weight: bold;\n  border-radius: 5px;\n  font-size: 15px;\n}\n\n.note-box {\n  background: #f0f0f0;\n  border-left: 4px solid #6c757d;\n  padding: 10px;\n  margin: 10px 0;\n  font-size: 14px;\n  border-radius: 5px;\n}\n\n@media (max-width: 768px) {\n  .psc-container {\n    padding: 10px;\n  }\n  \n  .question-header {\n    font-size: 15px;\n  }\n  \n  .question-text {\n    font-size: 15px;\n  }\n  \n  .option-item {\n    font-size: 14px;\n    padding: 8px;\n  }\n}\n<\/style>\n\n<div class=\"psc-container\">\n\n<h2 style=\"text-align: center; color: #0066cc; margin-bottom: 20px;\">\ud83c\udf93 Kerala PSC Mathematics &#8211; Questions 81-100<\/h2>\n\n<!-- Question 81 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 81<\/div>\n  <div class=\"question-text\">25\u00b2 \u00d7 4\u00b2 = ?<\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 100<\/div>\n    <div class=\"option-item\">(b) 10000<\/div>\n    <div class=\"option-item\">(c) 625<\/div>\n    <div class=\"option-item\">(d) 1000<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method (\u0d0e\u0d33\u0d41\u0d2a\u0d4d\u0d2a\u0d35\u0d34\u0d3f)<\/div>\n    <div class=\"logic-text\"><strong>Logic:<\/strong> When powers are the same, multiply base numbers first, then apply power.<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d2a\u0d35\u0d31\u0d41\u0d15\u0d7e \u0d12\u0d30\u0d47\u0d2a\u0d4b\u0d32\u0d46\u0d2f\u0d3e\u0d23\u0d46\u0d19\u0d4d\u0d15\u0d3f\u0d7d, \u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d15\u0d33\u0d46 \u0d24\u0d2e\u0d4d\u0d2e\u0d3f\u0d7d \u0d17\u0d41\u0d23\u0d3f\u0d1a\u0d4d\u0d1a \u0d36\u0d47\u0d37\u0d02 \u0d2a\u0d35\u0d7c \u0d28\u0d7d\u0d15\u0d41\u0d15.<\/div>\n    <div class=\"formula\">a\u00b2 \u00d7 b\u00b2 = (a \u00d7 b)\u00b2<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. Combine: (25 \u00d7 4)\u00b2<\/div>\n    <div class=\"step-item\">2. Calculate: 25 \u00d7 4 = 100<\/div>\n    <div class=\"step-item\">3. Square: 100\u00b2 = 10,000<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (b) 10000<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 5\u00b3 \u00d7 2\u00b3 = ?<br>\n      <strong>Options:<\/strong> (a) 100 | (b) 1000 | (c) 50 | (d) 250<br>\n      <strong>Shortcut:<\/strong> (5 \u00d7 2)\u00b3 = 10\u00b3 = 1000<br>\n      <strong>\u2713 Answer:<\/strong> (b) 1000\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 50\u00b2 \u00d7 2\u00b2 = ?<br>\n      <strong>Options:<\/strong> (a) 1000 | (b) 2500 | (c) 10000 | (d) 400<br>\n      <strong>Shortcut:<\/strong> (50 \u00d7 2)\u00b2 = 100\u00b2 = 10000<br>\n      <strong>\u2713 Answer:<\/strong> (c) 10000\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 82 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 82<\/div>\n  <div class=\"question-text\">48 \u0d15\u0d3f.\u0d2e\u0d40.\/\u0d2e\u0d23\u0d3f\u0d15\u0d4d\u0d15\u0d42\u0d7c \u0d36\u0d30\u0d3e\u0d36\u0d30\u0d3f \u0d35\u0d47\u0d17\u0d24\u0d2f\u0d3f\u0d7d \u0d38\u0d1e\u0d4d\u0d1a\u0d30\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d28\u0d4d\u0d28 \u0d12\u0d30\u0d41 \u0d2c\u0d38\u0d4d\u0d38\u0d4d 5 \u0d2e\u0d23\u0d3f\u0d15\u0d4d\u0d15\u0d42\u0d7c \u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d \u0d0e\u0d24\u0d4d\u0d30 \u0d26\u0d42\u0d30\u0d02 \u0d2f\u0d3e\u0d24\u0d4d\u0d30 \u0d1a\u0d46\u0d2f\u0d4d\u0d2f\u0d41\u0d02?<br>\n  <em>(A bus travels at 48 km\/hr. How much distance in 5 hours?)<\/em><\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 200 \u0d15\u0d3f.\u0d2e\u0d40.<\/div>\n    <div class=\"option-item\">(b) 300 \u0d15\u0d3f.\u0d2e\u0d40.<\/div>\n    <div class=\"option-item\">(c) 240 \u0d15\u0d3f.\u0d2e\u0d40.<\/div>\n    <div class=\"option-item\">(d) 150 \u0d15\u0d3f.\u0d2e\u0d40.<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method (\u0d0e\u0d33\u0d41\u0d2a\u0d4d\u0d2a\u0d35\u0d34\u0d3f)<\/div>\n    <div class=\"formula\">Distance = Speed \u00d7 Time<\/div>\n    <div class=\"logic-text\"><strong>\u00d7 5 Trick:<\/strong> To multiply even number by 5, take half and add zero.<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d07\u0d30\u0d1f\u0d4d\u0d1f \u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d2f\u0d46 5 \u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d \u0d17\u0d41\u0d23\u0d3f\u0d15\u0d4d\u0d15\u0d3e\u0d7b, \u0d2a\u0d15\u0d41\u0d24\u0d3f \u0d0e\u0d1f\u0d41\u0d24\u0d4d\u0d24\u0d4d \u0d2a\u0d42\u0d1c\u0d4d\u0d2f\u0d02 \u0d07\u0d1f\u0d41\u0d15.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. Speed = 48 km\/hr, Time = 5 hours<\/div>\n    <div class=\"step-item\">2. Half of 48 = 24 (48-\u0d28\u0d4d\u0d31\u0d46 \u0d2a\u0d15\u0d41\u0d24\u0d3f 24)<\/div>\n    <div class=\"step-item\">3. Add zero: 24 \u2192 240<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (c) 240 \u0d15\u0d3f.\u0d2e\u0d40.<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 60 \u0d15\u0d3f.\u0d2e\u0d40.\/\u0d2e\u0d23\u0d3f\u0d15\u0d4d\u0d15\u0d42\u0d7c \u0d35\u0d47\u0d17\u0d24\u0d2f\u0d3f\u0d7d \u0d38\u0d1e\u0d4d\u0d1a\u0d30\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d28\u0d4d\u0d28 \u0d12\u0d30\u0d41 \u0d15\u0d3e\u0d7c 3 \u0d2e\u0d23\u0d3f\u0d15\u0d4d\u0d15\u0d42\u0d7c \u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d \u0d0e\u0d24\u0d4d\u0d30 \u0d26\u0d42\u0d30\u0d02 \u0d38\u0d1e\u0d4d\u0d1a\u0d30\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d02?<br>\n      <strong>Options:<\/strong> (a) 120 \u0d15\u0d3f.\u0d2e\u0d40. | (b) 180 \u0d15\u0d3f.\u0d2e\u0d40. | (c) 200 \u0d15\u0d3f.\u0d2e\u0d40. | (d) 360 \u0d15\u0d3f.\u0d2e\u0d40.<br>\n      <strong>Shortcut:<\/strong> 60 \u00d7 3 = 180<br>\n      <strong>\u2713 Answer:<\/strong> (b) 180 \u0d15\u0d3f.\u0d2e\u0d40.\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 84 \u0d15\u0d3f.\u0d2e\u0d40.\/\u0d2e\u0d23\u0d3f\u0d15\u0d4d\u0d15\u0d42\u0d7c \u0d35\u0d47\u0d17\u0d24\u0d2f\u0d3f\u0d7d \u0d38\u0d1e\u0d4d\u0d1a\u0d30\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d28\u0d4d\u0d28 \u0d12\u0d30\u0d41 \u0d1f\u0d4d\u0d30\u0d46\u0d2f\u0d3f\u0d7b 5 \u0d2e\u0d23\u0d3f\u0d15\u0d4d\u0d15\u0d42\u0d7c \u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d \u0d0e\u0d24\u0d4d\u0d30 \u0d26\u0d42\u0d30\u0d02 \u0d38\u0d1e\u0d4d\u0d1a\u0d30\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d02?<br>\n      <strong>Options:<\/strong> (a) 400 \u0d15\u0d3f.\u0d2e\u0d40. | (b) 420 \u0d15\u0d3f.\u0d2e\u0d40. | (c) 450 \u0d15\u0d3f.\u0d2e\u0d40. | (d) 840 \u0d15\u0d3f.\u0d2e\u0d40.<br>\n      <strong>Shortcut:<\/strong> Half of 84 = 42, add zero = 420<br>\n      <strong>\u2713 Answer:<\/strong> (b) 420 \u0d15\u0d3f.\u0d2e\u0d40.\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 83 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 83<\/div>\n  <div class=\"question-text\">1 \u0d28\u0d41\u0d02 4 \u0d28\u0d41\u0d02 \u0d07\u0d1f\u0d2f\u0d4d\u0d15\u0d4d\u0d15\u0d4d \u0d35\u0d30\u0d41\u0d28\u0d4d\u0d28 \u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d2f\u0d47\u0d24\u0d4d?<br>\n  <em>(Which number lies between 1 and 4?)<\/em><\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 1\/2<\/div>\n    <div class=\"option-item\">(b) 7\/4<\/div>\n    <div class=\"option-item\">(c) 3\/4<\/div>\n    <div class=\"option-item\">(d) 7\/2<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"logic-text\"><strong>Logic:<\/strong> If numerator < denominator, value is less than 1.<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d05\u0d02\u0d36\u0d02 \u0d1b\u0d47\u0d26\u0d24\u0d4d\u0d24\u0d47\u0d15\u0d4d\u0d15\u0d3e\u0d7e \u0d1a\u0d46\u0d31\u0d41\u0d24\u0d3e\u0d23\u0d46\u0d19\u0d4d\u0d15\u0d3f\u0d7d \u0d09\u0d24\u0d4d\u0d24\u0d30\u0d02 1-\u0d7d \u0d24\u0d3e\u0d34\u0d46.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">(a) 1\/2 = 0.5 (Less than 1) \u274c<\/div>\n    <div class=\"step-item\">(b) 7\/4 = 1.75 (Between 1 and 4) \u2705<\/div>\n    <div class=\"step-item\">(c) 3\/4 = 0.75 (Less than 1) \u274c<\/div>\n    <div class=\"step-item\">(d) 7\/2 = 3.5 (Between 1 and 4) \u2705<\/div>\n  <\/div>\n  \n  <div class=\"note-box\">\n    <strong>Note:<\/strong> Both (b) and (d) are technically correct. Standard PSC answer is (b) 7\/4.\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (b) 7\/4<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 2-\u0d28\u0d41\u0d02 3-\u0d28\u0d41\u0d02 \u0d07\u0d1f\u0d2f\u0d3f\u0d7d \u0d35\u0d30\u0d41\u0d28\u0d4d\u0d28 \u0d2d\u0d3f\u0d28\u0d4d\u0d28\u0d38\u0d02\u0d16\u0d4d\u0d2f \u0d0f\u0d24\u0d4d?<br>\n      <strong>Options:<\/strong> (a) 3\/2 | (b) 5\/2 | (c) 7\/2 | (d) 1\/2<br>\n      <strong>Shortcut:<\/strong> 5 \u00f7 2 = 2.5<br>\n      <strong>\u2713 Answer:<\/strong> (b) 5\/2\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 1-\u0d7d \u0d24\u0d3e\u0d34\u0d46 \u0d35\u0d3f\u0d32\u0d2f\u0d41\u0d33\u0d4d\u0d33 \u0d2d\u0d3f\u0d28\u0d4d\u0d28\u0d38\u0d02\u0d16\u0d4d\u0d2f \u0d0f\u0d24\u0d4d?<br>\n      <strong>Options:<\/strong> (a) 5\/4 | (b) 3\/2 | (c) 2\/3 | (d) 7\/5<br>\n      <strong>Shortcut:<\/strong> Look for Numerator < Denominator (2 < 3)<br>\n      <strong>\u2713 Answer:<\/strong> (c) 2\/3\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 84 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 84<\/div>\n  <div class=\"question-text\">13\/7, 16\/7, 19\/7 \u0d0e\u0d28\u0d4d\u0d28 \u0d36\u0d4d\u0d30\u0d47\u0d23\u0d3f\u0d2f\u0d3f\u0d32\u0d46 \u0d06\u0d26\u0d4d\u0d2f\u0d24\u0d4d\u0d24\u0d46 \u0d0e\u0d23\u0d4d\u0d23\u0d7d\u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d3e \u0d2a\u0d26\u0d02?<br>\n  <em>(First counting number in the sequence 13\/7, 16\/7, 19\/7&#8230;?)<\/em><\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 4<\/div>\n    <div class=\"option-item\">(b) 2<\/div>\n    <div class=\"option-item\">(c) 5<\/div>\n    <div class=\"option-item\">(d) 1<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"logic-text\"><strong>Logic:<\/strong> Denominator stays 7. Numerator increases by 3. Keep adding 3 until divisible by 7.<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d2e\u0d41\u0d15\u0d33\u0d3f\u0d32\u0d46 \u0d38\u0d02\u0d16\u0d4d\u0d2f 3 \u0d35\u0d46\u0d1a\u0d4d\u0d1a\u0d4d \u0d15\u0d42\u0d1f\u0d41\u0d28\u0d4d\u0d28\u0d41. 7 \u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d \u0d39\u0d30\u0d3f\u0d15\u0d4d\u0d15\u0d3e\u0d7b \u0d2a\u0d31\u0d4d\u0d31\u0d41\u0d28\u0d4d\u0d28\u0d24\u0d4d \u0d35\u0d30\u0d46 3 \u0d15\u0d42\u0d1f\u0d4d\u0d1f\u0d41\u0d15.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">Sequence: 13, 16, 19&#8230;<\/div>\n    <div class=\"step-item\">Next: 19 + 3 = 22, 22 + 3 = 25, 25 + 3 = 28<\/div>\n    <div class=\"step-item\">Check: 28 \u00f7 7 = 4 \u2713<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (a) 4<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 11\/5, 13\/5, 15\/5&#8230; \u0d0e\u0d28\u0d4d\u0d28 \u0d36\u0d4d\u0d30\u0d47\u0d23\u0d3f\u0d2f\u0d3f\u0d32\u0d46 \u0d06\u0d26\u0d4d\u0d2f\u0d24\u0d4d\u0d24\u0d46 \u0d0e\u0d23\u0d4d\u0d23\u0d7d\u0d38\u0d02\u0d16\u0d4d\u0d2f \u0d0f\u0d24\u0d4d?<br>\n      <strong>Options:<\/strong> (a) 2 | (b) 3 | (c) 4 | (d) 5<br>\n      <strong>Shortcut:<\/strong> 15 \u00f7 5 = 3<br>\n      <strong>\u2713 Answer:<\/strong> (b) 3\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 4\/3, 5\/3, 6\/3&#8230; \u0d0e\u0d28\u0d4d\u0d28 \u0d36\u0d4d\u0d30\u0d47\u0d23\u0d3f\u0d2f\u0d3f\u0d32\u0d46 \u0d06\u0d26\u0d4d\u0d2f\u0d24\u0d4d\u0d24\u0d46 \u0d2a\u0d42\u0d7c\u0d23\u0d4d\u0d23\u0d38\u0d02\u0d16\u0d4d\u0d2f \u0d0f\u0d24\u0d4d?<br>\n      <strong>Options:<\/strong> (a) 1 | (b) 2 | (c) 3 | (d) 4<br>\n      <strong>Shortcut:<\/strong> 6 \u00f7 3 = 2<br>\n      <strong>\u2713 Answer:<\/strong> (b) 2\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 85 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 85<\/div>\n  <div class=\"question-text\">3\/4, 5\/8 \u0d0e\u0d28\u0d4d\u0d28\u0d40 \u0d2d\u0d3f\u0d28\u0d4d\u0d28\u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d15\u0d33\u0d41\u0d1f\u0d46 \u0d32\u0d38\u0d3e\u0d17\u0d41 \u0d0e\u0d24\u0d4d\u0d30?<br>\n  <em>(LCM of 3\/4 and 5\/8?)<\/em><\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 3<\/div>\n    <div class=\"option-item\">(b) 1\/4<\/div>\n    <div class=\"option-item\">(c) 1\/2<\/div>\n    <div class=\"option-item\">(d) 15\/32<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"formula\">LCM of fractions = LCM(numerators) \/ HCF(denominators)<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. LCM(3, 5) = 15<\/div>\n    <div class=\"step-item\">2. HCF(4, 8) = 4<\/div>\n    <div class=\"step-item\">3. Result: 15\/4<\/div>\n  <\/div>\n  \n  <div class=\"note-box\">\n    <strong>Correction Note:<\/strong> Calculated LCM is 15\/4. Option (d) 15\/32 is the Product: 3\/4 \u00d7 5\/8 = 15\/32\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (d) 15\/32 (Product)<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 2\/3, 4\/9 \u0d0e\u0d28\u0d4d\u0d28\u0d3f\u0d35\u0d2f\u0d41\u0d1f\u0d46 \u0d32\u0d38\u0d3e\u0d17\u0d41 (LCM) \u0d0e\u0d24\u0d4d\u0d30?<br>\n      <strong>Options:<\/strong> (a) 4\/3 | (b) 8\/27 | (c) 2\/9 | (d) 4\/9<br>\n      <strong>Shortcut:<\/strong> LCM(2,4)=4; HCF(3,9)=3 \u2192 4\/3<br>\n      <strong>\u2713 Answer:<\/strong> (a) 4\/3\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 1\/2, 3\/5 \u0d0e\u0d28\u0d4d\u0d28\u0d3f\u0d35\u0d2f\u0d41\u0d1f\u0d46 \u0d17\u0d41\u0d23\u0d28\u0d2b\u0d32\u0d02 (Product) \u0d0e\u0d24\u0d4d\u0d30?<br>\n      <strong>Options:<\/strong> (a) 3\/10 | (b) 3\/7 | (c) 4\/10 | (d) 3\/5<br>\n      <strong>Shortcut:<\/strong> 1\u00d73=3, 2\u00d75=10 \u2192 3\/10<br>\n      <strong>\u2713 Answer:<\/strong> (a) 3\/10\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 86 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 86<\/div>\n  <div class=\"question-text\">\u0d12\u0d30\u0d41 \u0d15\u0d1a\u0d4d\u0d1a\u0d35\u0d1f\u0d15\u0d4d\u0d15\u0d3e\u0d30\u0d7b \u20b9700-\u0d15\u0d4d\u0d15\u0d4d \u0d35\u0d3f\u0d31\u0d4d\u0d31\u0d2a\u0d4d\u0d2a\u0d4b\u0d7e 30% \u0d28\u0d37\u0d4d\u0d1f\u0d02. \u0d35\u0d3e\u0d19\u0d4d\u0d19\u0d3f\u0d2f \u0d35\u0d3f\u0d32\u0d2f\u0d46\u0d24\u0d4d\u0d30?<br>\n  <em>(Sold for \u20b9700 at 30% loss. Cost Price?)<\/em><\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 820<\/div>\n    <div class=\"option-item\">(b) 1,000<\/div>\n    <div class=\"option-item\">(c) 900<\/div>\n    <div class=\"option-item\">(d) 1,200<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"logic-text\"><strong>Logic:<\/strong> Cost Price = 100%. With 30% loss, sold at 70%.<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> 30% \u0d28\u0d37\u0d4d\u0d1f\u0d02 \u0d0e\u0d28\u0d4d\u0d28\u0d3e\u0d7d \u0d35\u0d3f\u0d31\u0d4d\u0d31\u0d24\u0d4d 70%-\u0d24\u0d4d\u0d24\u0d3f\u0d28\u0d3e\u0d23\u0d4d.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">\u2022 70% = 700<\/div>\n    <div class=\"step-item\">\u2022 1% = 10 (700 \u00f7 70)<\/div>\n    <div class=\"step-item\">\u2022 100% = 1000 (10 \u00d7 100)<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (b) 1,000<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> \u0d12\u0d30\u0d41 \u0d38\u0d3e\u0d27\u0d28\u0d02 450 \u0d30\u0d42\u0d2a\u0d2f\u0d4d\u0d15\u0d4d\u0d15\u0d4d \u0d35\u0d3f\u0d31\u0d4d\u0d31\u0d2a\u0d4d\u0d2a\u0d4b\u0d7e 10% \u0d28\u0d37\u0d4d\u0d1f\u0d02 \u0d09\u0d23\u0d4d\u0d1f\u0d3e\u0d2f\u0d3f. \u0d35\u0d3e\u0d19\u0d4d\u0d19\u0d3f\u0d2f \u0d35\u0d3f\u0d32 \u0d0e\u0d24\u0d4d\u0d30?<br>\n      <strong>Options:<\/strong> (a) 500 | (b) 400 | (c) 600 | (d) 550<br>\n      <strong>Shortcut:<\/strong> 90% = 450, so 100% = 500<br>\n      <strong>\u2713 Answer:<\/strong> (a) 500\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> \u0d12\u0d30\u0d41 \u0d38\u0d3e\u0d27\u0d28\u0d02 1200 \u0d30\u0d42\u0d2a\u0d2f\u0d4d\u0d15\u0d4d\u0d15\u0d4d \u0d35\u0d3f\u0d31\u0d4d\u0d31\u0d2a\u0d4d\u0d2a\u0d4b\u0d7e 20% \u0d32\u0d3e\u0d2d\u0d02 \u0d15\u0d3f\u0d1f\u0d4d\u0d1f\u0d3f. \u0d35\u0d3e\u0d19\u0d4d\u0d19\u0d3f\u0d2f \u0d35\u0d3f\u0d32 \u0d0e\u0d24\u0d4d\u0d30?<br>\n      <strong>Options:<\/strong> (a) 1000 | (b) 1500 | (c) 960 | (d) 1400<br>\n      <strong>Shortcut:<\/strong> 120% = 1200, so 100% = 1000<br>\n      <strong>\u2713 Answer:<\/strong> (a) 1000\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 87 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 87<\/div>\n  <div class=\"question-text\">\u221a(0.1111&#8230; \u00d7 0.4444&#8230;) = ?<\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 4\/81<\/div>\n    <div class=\"option-item\">(b) 0.444&#8230;<\/div>\n    <div class=\"option-item\">(c) 0.22&#8230;<\/div>\n    <div class=\"option-item\">(d) 4\/9<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"logic-text\"><strong>Logic:<\/strong> 0.111&#8230; = 1\/9 and 0.444&#8230; = 4\/9<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d06\u0d35\u0d7c\u0d24\u0d4d\u0d24\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d28\u0d4d\u0d28 \u0d26\u0d36\u0d3e\u0d02\u0d36\u0d24\u0d4d\u0d24\u0d46 9 \u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d \u0d39\u0d30\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d15.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. Rewrite: \u221a(1\/9 \u00d7 4\/9)<\/div>\n    <div class=\"step-item\">2. Multiply: \u221a(4\/81)<\/div>\n    <div class=\"step-item\">3. Square root: 2\/9 = 0.222&#8230;<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (c) 0.22&#8230;<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> \u221a(0.444&#8230;) \u0d28\u0d4d\u0d31\u0d46 \u0d35\u0d3f\u0d32\u0d2f\u0d46\u0d24\u0d4d\u0d30?<br>\n      <strong>Options:<\/strong> (a) 0.222&#8230; | (b) 0.666&#8230; | (c) 0.888&#8230; | (d) 0.444&#8230;<br>\n      <strong>Shortcut:<\/strong> \u221a(4\/9) = 2\/3 = 0.666&#8230;<br>\n      <strong>\u2713 Answer:<\/strong> (b) 0.666&#8230;\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 0.333&#8230; \u00d7 0.333&#8230; \u0d0e\u0d24\u0d4d\u0d30?<br>\n      <strong>Options:<\/strong> (a) 0.999&#8230; | (b) 0.666&#8230; | (c) 0.111&#8230; | (d) 1<br>\n      <strong>Shortcut:<\/strong> 1\/3 \u00d7 1\/3 = 1\/9 = 0.111&#8230;<br>\n      <strong>\u2713 Answer:<\/strong> (c) 0.111&#8230;\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 88 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 88<\/div>\n  <div class=\"question-text\">\u0d06\u0d36 \u0d2e\u0d41\u0d28\u0d4d\u0d28\u0d3f\u0d7d \u0d28\u0d3f\u0d28\u0d4d\u0d28\u0d4d 25-\u0d3e\u0d2e\u0d24\u0d41\u0d02 \u0d2a\u0d3f\u0d28\u0d4d\u0d28\u0d3f\u0d7d \u0d28\u0d3f\u0d28\u0d4d\u0d28\u0d4d 13-\u0d3e\u0d2e\u0d24\u0d41\u0d02. \u0d35\u0d30\u0d3f\u0d2f\u0d3f\u0d7d \u0d06\u0d15\u0d46 \u0d0e\u0d24\u0d4d\u0d30 \u0d2a\u0d47\u0d30\u0d4d?<br>\n  <em>(Asha is 25th from front, 13th from back. Total students?)<\/em><\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 38<\/div>\n    <div class=\"option-item\">(b) 41<\/div>\n    <div class=\"option-item\">(c) 35<\/div>\n    <div class=\"option-item\">(d) 37<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"formula\">Total = (Front + Back) &#8211; 1<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d12\u0d30\u0d3e\u0d33\u0d46\u0d24\u0d4d\u0d24\u0d28\u0d4d\u0d28\u0d46 \u0d30\u0d23\u0d4d\u0d1f\u0d41\u0d24\u0d35\u0d23 \u0d0e\u0d23\u0d4d\u0d23\u0d41\u0d28\u0d4d\u0d28\u0d24\u0d41\u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d 1 \u0d15\u0d41\u0d31\u0d2f\u0d4d\u0d15\u0d4d\u0d15\u0d41\u0d28\u0d4d\u0d28\u0d41.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. Add: 25 + 13 = 38<\/div>\n    <div class=\"step-item\">2. Subtract 1: 38 &#8211; 1 = 37<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (d) 37<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> \u0d12\u0d30\u0d41 \u0d35\u0d30\u0d3f\u0d2f\u0d3f\u0d7d \u0d30\u0d3e\u0d1c\u0d41 \u0d07\u0d1f\u0d24\u0d4d\u0d24\u0d41\u0d28\u0d3f\u0d28\u0d4d\u0d28\u0d4d 10-\u0d3e\u0d2e\u0d24\u0d41\u0d02 \u0d35\u0d32\u0d24\u0d4d\u0d24\u0d41\u0d28\u0d3f\u0d28\u0d4d\u0d28\u0d4d 20-\u0d3e\u0d2e\u0d24\u0d41\u0d02 \u0d06\u0d23\u0d4d. \u0d35\u0d30\u0d3f\u0d2f\u0d3f\u0d7d \u0d06\u0d15\u0d46 \u0d0e\u0d24\u0d4d\u0d30 \u0d2a\u0d47\u0d30\u0d41\u0d23\u0d4d\u0d1f\u0d4d?<br>\n      <strong>Options:<\/strong> (a) 30 | (b) 29 | (c) 31 | (d) 28<br>\n      <strong>Shortcut:<\/strong> (10 + 20) &#8211; 1 = 29<br>\n      <strong>\u2713 Answer:<\/strong> (b) 29\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 50 \u0d15\u0d41\u0d1f\u0d4d\u0d1f\u0d3f\u0d15\u0d33\u0d41\u0d33\u0d4d\u0d33 \u0d35\u0d30\u0d3f\u0d2f\u0d3f\u0d7d \u0d05\u0d28\u0d41 \u0d2e\u0d41\u0d28\u0d4d\u0d28\u0d3f\u0d7d \u0d28\u0d3f\u0d28\u0d4d\u0d28\u0d4d 20-\u0d3e\u0d2e\u0d24\u0d3e\u0d23\u0d4d. \u0d0e\u0d19\u0d4d\u0d15\u0d3f\u0d7d \u0d2a\u0d3f\u0d28\u0d4d\u0d28\u0d3f\u0d7d \u0d28\u0d3f\u0d28\u0d4d\u0d28\u0d4d \u0d0e\u0d24\u0d4d\u0d30\u0d3e\u0d2e\u0d24\u0d3e\u0d23\u0d4d?<br>\n      <strong>Options:<\/strong> (a) 30 | (b) 31 | (c) 29 | (d) 32<br>\n      <strong>Shortcut:<\/strong> Total &#8211; Front + 1 = 50 &#8211; 20 + 1 = 31<br>\n      <strong>\u2713 Answer:<\/strong> (b) 31\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 89 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 89<\/div>\n  <div class=\"question-text\">1 \u0d2e\u0d41\u0d24\u0d7d 100 \u0d35\u0d30\u0d46\u0d2f\u0d41\u0d33\u0d4d\u0d33 \u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d15\u0d33\u0d41\u0d1f\u0d46 \u0d36\u0d30\u0d3e\u0d36\u0d30\u0d3f \u0d0e\u0d24\u0d4d\u0d30?<br>\n  <em>(Average of numbers from 1 to 100?)<\/em><\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 55.5<\/div>\n    <div class=\"option-item\">(b) 55<\/div>\n    <div class=\"option-item\">(c) 50<\/div>\n    <div class=\"option-item\">(d) 50.5<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"formula\">Average = (First + Last) \/ 2<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d06\u0d26\u0d4d\u0d2f\u0d35\u0d41\u0d02 \u0d05\u0d35\u0d38\u0d3e\u0d28\u0d35\u0d41\u0d02 \u0d15\u0d42\u0d1f\u0d4d\u0d1f\u0d3f \u0d2a\u0d15\u0d41\u0d24\u0d3f \u0d0e\u0d1f\u0d41\u0d15\u0d4d\u0d15\u0d41\u0d15.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. First = 1, Last = 100<\/div>\n    <div class=\"step-item\">2. Add: 1 + 100 = 101<\/div>\n    <div class=\"step-item\">3. Divide: 101 \u00f7 2 = 50.5<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (d) 50.5<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 1 \u0d2e\u0d41\u0d24\u0d7d 50 \u0d35\u0d30\u0d46\u0d2f\u0d41\u0d33\u0d4d\u0d33 \u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d15\u0d33\u0d41\u0d1f\u0d46 \u0d36\u0d30\u0d3e\u0d36\u0d30\u0d3f \u0d0e\u0d24\u0d4d\u0d30?<br>\n      <strong>Options:<\/strong> (a) 25 | (b) 26 | (c) 25.5 | (d) 24.5<br>\n      <strong>Shortcut:<\/strong> (1 + 50) \/ 2 = 51\/2 = 25.5<br>\n      <strong>\u2713 Answer:<\/strong> (c) 25.5\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> \u0d06\u0d26\u0d4d\u0d2f\u0d24\u0d4d\u0d24\u0d46 20 \u0d0e\u0d23\u0d4d\u0d23\u0d7d\u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d15\u0d33\u0d41\u0d1f\u0d46 \u0d36\u0d30\u0d3e\u0d36\u0d30\u0d3f \u0d0e\u0d24\u0d4d\u0d30?<br>\n      <strong>Options:<\/strong> (a) 10 | (b) 10.5 | (c) 11 | (d) 20<br>\n      <strong>Shortcut:<\/strong> (1 + 20) \/ 2 = 10.5<br>\n      <strong>\u2713 Answer:<\/strong> (b) 10.5\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 90 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 90<\/div>\n  <div class=\"question-text\">\u0d30\u0d3e\u0d1c\u0d41\u0d35\u0d3f\u0d28\u0d4d \u0d05\u0d28\u0d3f\u0d2f\u0d28\u0d47\u0d15\u0d4d\u0d15\u0d3e\u0d7e 10 \u0d35\u0d2f\u0d38\u0d4d\u0d38\u0d4d \u0d15\u0d42\u0d1f\u0d41\u0d24\u0d7d. 5 \u0d35\u0d7c\u0d37\u0d02 \u0d15\u0d34\u0d3f\u0d1e\u0d4d\u0d1e\u0d3e\u0d7d \u0d30\u0d3e\u0d1c\u0d41 \u0d07\u0d30\u0d1f\u0d4d\u0d1f\u0d3f \u0d35\u0d2f\u0d38\u0d4d\u0d38\u0d4d. \u0d30\u0d3e\u0d1c\u0d41\u0d35\u0d3f\u0d28\u0d4d\u0d31\u0d46 \u0d35\u0d2f\u0d38\u0d4d\u0d38\u0d4d?<br>\n  <em>(Raju is 10 years older. After 5 years, he&#8217;ll be twice as old. Raju&#8217;s age?)<\/em><\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 25<\/div>\n    <div class=\"option-item\">(b) 15<\/div>\n    <div class=\"option-item\">(c) 5<\/div>\n    <div class=\"option-item\">(d) 10<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"formula\">Younger&#8217;s Age = Difference &#8211; Years Later<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d05\u0d28\u0d3f\u0d2f\u0d28\u0d4d\u0d31\u0d46 \u0d35\u0d2f\u0d38\u0d4d\u0d38\u0d4d = \u0d35\u0d2f\u0d38\u0d4d\u0d38\u0d4d \u0d35\u0d4d\u0d2f\u0d24\u0d4d\u0d2f\u0d3e\u0d38\u0d02 &#8211; \u0d0e\u0d24\u0d4d\u0d30 \u0d35\u0d7c\u0d37\u0d02 \u0d15\u0d34\u0d3f\u0d1e\u0d4d\u0d1e\u0d4d<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. Brother&#8217;s age = 10 &#8211; 5 = 5<\/div>\n    <div class=\"step-item\">2. Raju&#8217;s age = 5 + 10 = 15<\/div>\n    <div class=\"step-item\">Verify: After 5 years: Raju 20, Brother 10 \u2713<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (b) 15<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> \u0d05\u0d1a\u0d4d\u0d1b\u0d28\u0d4d \u0d2e\u0d15\u0d28\u0d47\u0d15\u0d4d\u0d15\u0d3e\u0d7e 24 \u0d35\u0d2f\u0d38\u0d4d\u0d38\u0d4d \u0d15\u0d42\u0d1f\u0d41\u0d24\u0d32\u0d3e\u0d23\u0d4d. 4 \u0d35\u0d7c\u0d37\u0d02 \u0d15\u0d34\u0d3f\u0d1e\u0d4d\u0d1e\u0d3e\u0d7d \u0d05\u0d1a\u0d4d\u0d1b\u0d28\u0d4d\u0d31\u0d46 \u0d35\u0d2f\u0d38\u0d4d\u0d38\u0d4d \u0d07\u0d30\u0d1f\u0d4d\u0d1f\u0d3f\u0d2f\u0d3e\u0d15\u0d41\u0d02. \u0d2e\u0d15\u0d28\u0d4d\u0d31\u0d46 \u0d35\u0d2f\u0d38\u0d4d\u0d38\u0d4d?<br>\n      <strong>Options:<\/strong> (a) 24 | (b) 20 | (c) 28 | (d) 12<br>\n      <strong>Shortcut:<\/strong> 24 &#8211; 4 = 20<br>\n      <strong>\u2713 Answer:<\/strong> (b) 20\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> \u0d05\u0d2e\u0d4d\u0d2e\u0d2f\u0d4d\u0d15\u0d4d\u0d15\u0d4d \u0d2e\u0d15\u0d33\u0d47\u0d15\u0d4d\u0d15\u0d3e\u0d7e 30 \u0d35\u0d2f\u0d38\u0d4d\u0d38\u0d4d \u0d15\u0d42\u0d1f\u0d41\u0d24\u0d7d. 10 \u0d35\u0d7c\u0d37\u0d02 \u0d15\u0d34\u0d3f\u0d1e\u0d4d\u0d1e\u0d3e\u0d7d \u0d05\u0d2e\u0d4d\u0d2e \u0d07\u0d30\u0d1f\u0d4d\u0d1f\u0d3f. \u0d05\u0d2e\u0d4d\u0d2e\u0d2f\u0d41\u0d1f\u0d46 \u0d35\u0d2f\u0d38\u0d4d\u0d38\u0d4d?<br>\n      <strong>Options:<\/strong> (a) 40 | (b) 20 | (c) 50 | (d) 60<br>\n      <strong>Shortcut:<\/strong> Daughter = 30 &#8211; 10 = 20, Mother = 20 + 30 = 50<br>\n      <strong>\u2713 Answer:<\/strong> (c) 50\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 91 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 91<\/div>\n  <div class=\"question-text\">100 \u00d7 83 \u00d7 39 \u0d28\u0d46 9 \u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d \u0d39\u0d30\u0d3f\u0d1a\u0d4d\u0d1a\u0d3e\u0d32\u0d41\u0d33\u0d4d\u0d33 \u0d36\u0d3f\u0d37\u0d4d\u0d1f\u0d02 (Remainder) \u0d0e\u0d24\u0d4d\u0d30?<\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 6<\/div>\n    <div class=\"option-item\">(b) 4<\/div>\n    <div class=\"option-item\">(c) 0<\/div>\n    <div class=\"option-item\">(d) 1<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"logic-text\"><strong>Logic:<\/strong> For division by 9, remainder = sum of digits.<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> 9 \u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d \u0d39\u0d30\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d2e\u0d4d\u0d2a\u0d4b\u0d7e \u0d05\u0d15\u0d4d\u0d15\u0d19\u0d4d\u0d19\u0d7e \u0d15\u0d42\u0d1f\u0d4d\u0d1f\u0d3f\u0d2f\u0d3e\u0d7d \u0d2e\u0d24\u0d3f.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">100: 1+0+0 = 1 (Remainder 1)<\/div>\n    <div class=\"step-item\">83: 8+3 = 11 \u2192 1+1 = 2 (Remainder 2)<\/div>\n    <div class=\"step-item\">39: 3+9 = 12 \u2192 1+2 = 3 (Remainder 3)<\/div>\n    <div class=\"step-item\">Multiply: 1 \u00d7 2 \u00d7 3 = 6<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (a) 6<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 101 \u00d7 102 \u0d28\u0d46 9 \u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d \u0d39\u0d30\u0d3f\u0d1a\u0d4d\u0d1a\u0d3e\u0d7d \u0d36\u0d3f\u0d37\u0d4d\u0d1f\u0d02 \u0d0e\u0d24\u0d4d\u0d30?<br>\n      <strong>Options:<\/strong> (a) 6 | (b) 3 | (c) 2 | (d) 0<br>\n      <strong>Shortcut:<\/strong> 101\u21922, 102\u21923, 2\u00d73=6<br>\n      <strong>\u2713 Answer:<\/strong> (a) 6\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 50 \u00d7 20 \u0d28\u0d46 9 \u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d \u0d39\u0d30\u0d3f\u0d1a\u0d4d\u0d1a\u0d3e\u0d7d \u0d36\u0d3f\u0d37\u0d4d\u0d1f\u0d02 \u0d0e\u0d24\u0d4d\u0d30?<br>\n      <strong>Options:<\/strong> (a) 7 | (b) 8 | (c) 1 | (d) 5<br>\n      <strong>Shortcut:<\/strong> 50\u21925, 20\u21922, 5\u00d72=10\u21921+0=1<br>\n      <strong>\u2713 Answer:<\/strong> (c) 1\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 92 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 92<\/div>\n  <div class=\"question-text\">6 : 210 :: 10 : ?<br>\n  <em>(Complete the analogy)<\/em><\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 900<\/div>\n    <div class=\"option-item\">(b) 990<\/div>\n    <div class=\"option-item\">(c) 994<\/div>\n    <div class=\"option-item\">(d) 999<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"formula\">Pattern: n\u00b3 &#8211; n<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d2f\u0d41\u0d1f\u0d46 \u0d15\u0d4d\u0d2f\u0d42\u0d2c\u0d4d &#8211; \u0d38\u0d02\u0d16\u0d4d\u0d2f \u0d24\u0d28\u0d4d\u0d28\u0d46<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. Check: 6\u00b3 &#8211; 6 = 216 &#8211; 6 = 210 \u2713<\/div>\n    <div class=\"step-item\">2. Apply: 10\u00b3 &#8211; 10<\/div>\n    <div class=\"step-item\">3. Calculate: 1000 &#8211; 10 = 990<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (b) 990<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 5 : 120 :: 4 : ?<br>\n      <strong>Options:<\/strong> (a) 60 | (b) 64 | (c) 50 | (d) 100<br>\n      <strong>Shortcut:<\/strong> 4\u00b3 &#8211; 4 = 64 &#8211; 4 = 60<br>\n      <strong>\u2713 Answer:<\/strong> (a) 60\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 3 : 24 :: 5 : ?<br>\n      <strong>Options:<\/strong> (a) 120 | (b) 125 | (c) 110 | (d) 100<br>\n      <strong>Shortcut:<\/strong> 5\u00b3 &#8211; 5 = 125 &#8211; 5 = 120<br>\n      <strong>\u2713 Answer:<\/strong> (a) 120\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 93 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 93<\/div>\n  <div class=\"question-text\">(57 + 61 + 65 + 69 + 73 + 77) \/ 30 = ?<\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 13.4<\/div>\n    <div class=\"option-item\">(b) 14.3<\/div>\n    <div class=\"option-item\">(c) 10.5<\/div>\n    <div class=\"option-item\">(d) 13<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"logic-text\"><strong>Logic:<\/strong> Arithmetic Progression (constant gap). Use pairing.<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d06\u0d26\u0d4d\u0d2f\u0d35\u0d41\u0d02 \u0d05\u0d35\u0d38\u0d3e\u0d28\u0d35\u0d41\u0d02 \u0d15\u0d42\u0d1f\u0d4d\u0d1f\u0d3f 3 \u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d \u0d17\u0d41\u0d23\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d15.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. First + Last = 57 + 77 = 134<\/div>\n    <div class=\"step-item\">2. 6 numbers, multiply by 3: 134 \u00d7 3 = 402<\/div>\n    <div class=\"step-item\">3. Divide: 402 \u00f7 30 = 13.4<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (a) 13.4<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> (10 + 20 + 30 + 40) \/ 20 = ?<br>\n      <strong>Options:<\/strong> (a) 5 | (b) 10 | (c) 4 | (d) 6<br>\n      <strong>Shortcut:<\/strong> Sum = 100, 100\/20 = 5<br>\n      <strong>\u2713 Answer:<\/strong> (a) 5\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> (2 + 4 + 6 + 8 + 10) \/ 5 = ?<br>\n      <strong>Options:<\/strong> (a) 6 | (b) 5 | (c) 7 | (d) 8<br>\n      <strong>Shortcut:<\/strong> Sum = 30, 30\/5 = 6<br>\n      <strong>\u2713 Answer:<\/strong> (a) 6\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 94 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 94<\/div>\n  <div class=\"question-text\">\u0d12\u0d31\u0d4d\u0d31\u0d2f\u0d3e\u0d28\u0d46 \u0d15\u0d23\u0d4d\u0d1f\u0d46\u0d24\u0d4d\u0d24\u0d41\u0d15 (Find the odd one): 179, 157, 113, 164<\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 179<\/div>\n    <div class=\"option-item\">(b) 157<\/div>\n    <div class=\"option-item\">(c) 113<\/div>\n    <div class=\"option-item\">(d) 164<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"logic-text\"><strong>Logic:<\/strong> 164 is the only even number. Others are odd\/prime.<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> 164 \u0d2e\u0d3e\u0d24\u0d4d\u0d30\u0d02 \u0d07\u0d30\u0d1f\u0d4d\u0d1f \u0d38\u0d02\u0d16\u0d4d\u0d2f. \u0d2c\u0d3e\u0d15\u0d4d\u0d15\u0d3f \u0d12\u0d31\u0d4d\u0d31 \u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d15\u0d7e.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">179 \u2192 Odd (Prime)<\/div>\n    <div class=\"step-item\">157 \u2192 Odd (Prime)<\/div>\n    <div class=\"step-item\">113 \u2192 Odd (Prime)<\/div>\n    <div class=\"step-item\">164 \u2192 Even (Divisible by 2) \u2717<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (d) 164<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> \u0d12\u0d31\u0d4d\u0d31\u0d2f\u0d3e\u0d28\u0d46 \u0d15\u0d23\u0d4d\u0d1f\u0d46\u0d24\u0d4d\u0d24\u0d41\u0d15: 17, 19, 21, 23<br>\n      <strong>Options:<\/strong> (a) 17 | (b) 19 | (c) 21 | (d) 23<br>\n      <strong>Shortcut:<\/strong> 21 is divisible by 3 (Composite). Others are Prime<br>\n      <strong>\u2713 Answer:<\/strong> (c) 21\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> \u0d12\u0d31\u0d4d\u0d31\u0d2f\u0d3e\u0d28\u0d46 \u0d15\u0d23\u0d4d\u0d1f\u0d46\u0d24\u0d4d\u0d24\u0d41\u0d15: 4, 9, 16, 18<br>\n      <strong>Options:<\/strong> (a) 4 | (b) 9 | (c) 16 | (d) 18<br>\n      <strong>Shortcut:<\/strong> 4, 9, 16 are perfect squares. 18 is not<br>\n      <strong>\u2713 Answer:<\/strong> (d) 18\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 95 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 95<\/div>\n  <div class=\"question-text\">-2, 1, 6, 13, \u0d05\u0d1f\u0d41\u0d24\u0d4d\u0d24 \u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d2f\u0d47\u0d24\u0d4d?<br>\n  <em>(Next number?)<\/em><\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 22<\/div>\n    <div class=\"option-item\">(b) 21<\/div>\n    <div class=\"option-item\">(c) 20<\/div>\n    <div class=\"option-item\">(d) 18<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"logic-text\"><strong>Logic:<\/strong> Differences increase by 2 each time: +3, +5, +7, +9&#8230;<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d35\u0d4d\u0d2f\u0d24\u0d4d\u0d2f\u0d3e\u0d38\u0d02 3, 5, 7 \u0d0e\u0d28\u0d4d\u0d28\u0d3f\u0d19\u0d4d\u0d19\u0d28\u0d46 \u0d12\u0d31\u0d4d\u0d31 \u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d15\u0d7e.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">-2 \u2192 (+3) \u2192 1<\/div>\n    <div class=\"step-item\">1 \u2192 (+5) \u2192 6<\/div>\n    <div class=\"step-item\">6 \u2192 (+7) \u2192 13<\/div>\n    <div class=\"step-item\">13 \u2192 (+9) \u2192 22<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (a) 22<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 2, 5, 10, 17, &#8230; \u0d05\u0d1f\u0d41\u0d24\u0d4d\u0d24 \u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d2f\u0d47\u0d24\u0d4d?<br>\n      <strong>Options:<\/strong> (a) 24 | (b) 26 | (c) 25 | (d) 27<br>\n      <strong>Shortcut:<\/strong> Diff: 3, 5, 7, next +9 \u2192 17 + 9 = 26<br>\n      <strong>\u2713 Answer:<\/strong> (b) 26\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 0, 3, 8, 15, &#8230; \u0d05\u0d1f\u0d41\u0d24\u0d4d\u0d24 \u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d2f\u0d47\u0d24\u0d4d?<br>\n      <strong>Options:<\/strong> (a) 24 | (b) 20 | (c) 22 | (d) 25<br>\n      <strong>Shortcut:<\/strong> Diff: 3, 5, 7, next +9 \u2192 15 + 9 = 24<br>\n      <strong>\u2713 Answer:<\/strong> (a) 24\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 96 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 96<\/div>\n  <div class=\"question-text\">8\/125 \u0d28\u0d4d \u0d24\u0d41\u0d32\u0d4d\u0d2f\u0d2e\u0d3e\u0d2f\u0d24\u0d4d (Decimal equivalent)?<\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 6.4<\/div>\n    <div class=\"option-item\">(b) 0.64<\/div>\n    <div class=\"option-item\">(c) 0.064<\/div>\n    <div class=\"option-item\">(d) 64<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"logic-text\"><strong>Trick:<\/strong> To divide by 125, multiply by 8 and move decimal 3 places left.<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> 8 \u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d \u0d17\u0d41\u0d23\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d15, 3 \u0d38\u0d4d\u0d25\u0d3e\u0d28\u0d02 \u0d07\u0d1f\u0d24\u0d4d\u0d24\u0d4b\u0d1f\u0d4d\u0d1f\u0d4d \u0d15\u0d41\u0d24\u0d4d\u0d24\u0d3f\u0d1f\u0d41\u0d15.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. Multiply: 8 \u00d7 8 = 64<\/div>\n    <div class=\"step-item\">2. Move 3 places left: 064 \u2192 0.064<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (c) 0.064<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 4\/125 \u0d28\u0d4d \u0d24\u0d41\u0d32\u0d4d\u0d2f\u0d2e\u0d3e\u0d2f\u0d24\u0d4d \u0d0f\u0d24\u0d4d?<br>\n      <strong>Options:<\/strong> (a) 0.032 | (b) 0.32 | (c) 3.2 | (d) 0.04<br>\n      <strong>Shortcut:<\/strong> 4 \u00d7 8 = 32, move 3 decimals = 0.032<br>\n      <strong>\u2713 Answer:<\/strong> (a) 0.032\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 1\/25 \u0d28\u0d4d \u0d24\u0d41\u0d32\u0d4d\u0d2f\u0d2e\u0d3e\u0d2f\u0d24\u0d4d \u0d0f\u0d24\u0d4d?<br>\n      <strong>Options:<\/strong> (a) 0.4 | (b) 0.04 | (c) 0.004 | (d) 0.25<br>\n      <strong>Shortcut:<\/strong> For 25: multiply by 4, move 2 decimals = 0.04<br>\n      <strong>\u2713 Answer:<\/strong> (b) 0.04\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 97 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 97<\/div>\n  <div class=\"question-text\">3 \u00d7 25 &#8211; 32 \u00f7 4 + 10 &#8211; 18 = ?<\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 59<\/div>\n    <div class=\"option-item\">(b) 75<\/div>\n    <div class=\"option-item\">(c) 17<\/div>\n    <div class=\"option-item\">(d) 55<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"logic-text\"><strong>Logic:<\/strong> BODMAS &#8211; Division, Multiplication, then Addition\/Subtraction.<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d39\u0d30\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d15, \u0d17\u0d41\u0d23\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d15, \u0d2a\u0d3f\u0d28\u0d4d\u0d28\u0d46 \u0d15\u0d42\u0d1f\u0d4d\u0d1f\u0d41\u0d15\/\u0d15\u0d41\u0d31\u0d2f\u0d4d\u0d15\u0d4d\u0d15\u0d41\u0d15.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. Division: 32 \u00f7 4 = 8<\/div>\n    <div class=\"step-item\">2. Multiplication: 3 \u00d7 25 = 75<\/div>\n    <div class=\"step-item\">3. Solve: 75 &#8211; 8 + 10 &#8211; 18 = 59<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (a) 59<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 50 &#8211; 10 \u00d7 2 + 5 = ?<br>\n      <strong>Options:<\/strong> (a) 85 | (b) 35 | (c) 45 | (d) 25<br>\n      <strong>Shortcut:<\/strong> 10 \u00d7 2 = 20, then 50 &#8211; 20 + 5 = 35<br>\n      <strong>\u2713 Answer:<\/strong> (b) 35\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 12 + 8 \u00f7 2 &#8211; 3 = ?<br>\n      <strong>Options:<\/strong> (a) 7 | (b) 13 | (c) 10 | (d) 16<br>\n      <strong>Shortcut:<\/strong> 8 \u00f7 2 = 4, then 12 + 4 &#8211; 3 = 13<br>\n      <strong>\u2713 Answer:<\/strong> (b) 13\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 98 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 98<\/div>\n  <div class=\"question-text\">225 \u0d2e\u0d40. \u0d28\u0d40\u0d33\u0d2e\u0d41\u0d33\u0d4d\u0d33 \u0d24\u0d40\u0d35\u0d23\u0d4d\u0d1f\u0d3f 54 km\/hr \u0d35\u0d47\u0d17\u0d24\u0d2f\u0d3f\u0d7d \u0d2a\u0d4b\u0d38\u0d4d\u0d31\u0d4d\u0d31\u0d3f\u0d28\u0d46 \u0d24\u0d30\u0d23\u0d02 \u0d1a\u0d46\u0d2f\u0d4d\u0d2f\u0d3e\u0d7b \u0d0e\u0d24\u0d4d\u0d30 \u0d38\u0d2e\u0d2f\u0d02?<br>\n  <em>(225m train at 54 km\/hr. Time to cross post?)<\/em><\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 10 second<\/div>\n    <div class=\"option-item\">(b) 18 second<\/div>\n    <div class=\"option-item\">(c) 12 second<\/div>\n    <div class=\"option-item\">(d) 15 second<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"logic-text\"><strong>Step 1:<\/strong> Convert km\/hr to m\/s by multiplying by 5\/18.<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> 5\/18 \u0d15\u0d4a\u0d23\u0d4d\u0d1f\u0d4d \u0d17\u0d41\u0d23\u0d3f\u0d1a\u0d4d\u0d1a\u0d4d m\/s \u0d06\u0d15\u0d4d\u0d15\u0d41\u0d15.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. Convert: 54 \u00d7 5\/18 = 15 m\/s<\/div>\n    <div class=\"step-item\">2. Time = Distance\/Speed = 225\/15 = 15 sec<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (d) 15 second<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 72 km\/hr \u0d35\u0d47\u0d17\u0d24\u0d2f\u0d46 m\/s \u0d06\u0d15\u0d4d\u0d15\u0d3f\u0d2f\u0d3e\u0d7d?<br>\n      <strong>Options:<\/strong> (a) 10 m\/s | (b) 20 m\/s | (c) 25 m\/s | (d) 15 m\/s<br>\n      <strong>Shortcut:<\/strong> 72 \u00d7 5\/18 = 4 \u00d7 5 = 20<br>\n      <strong>\u2713 Answer:<\/strong> (b) 20 m\/s\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 100 \u0d2e\u0d40. \u0d1f\u0d4d\u0d30\u0d46\u0d2f\u0d3f\u0d7b, 36 km\/hr, \u0d2a\u0d4b\u0d38\u0d4d\u0d31\u0d4d\u0d31\u0d4d \u0d15\u0d1f\u0d15\u0d4d\u0d15\u0d3e\u0d7b \u0d38\u0d2e\u0d2f\u0d02?<br>\n      <strong>Options:<\/strong> (a) 10 sec | (b) 5 sec | (c) 12 sec | (d) 8 sec<br>\n      <strong>Shortcut:<\/strong> 36 \u00d7 5\/18 = 10 m\/s, Time = 100\/10 = 10<br>\n      <strong>\u2713 Answer:<\/strong> (a) 10 sec\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 99 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 99<\/div>\n  <div class=\"question-text\">11 \u0d15\u0d41\u0d1f\u0d4d\u0d1f\u0d3f\u0d15\u0d33\u0d41\u0d1f\u0d46 \u0d36\u0d30\u0d3e\u0d36\u0d30\u0d3f \u0d2d\u0d3e\u0d30\u0d02 43 kg. 40 kg \u0d15\u0d41\u0d1f\u0d4d\u0d1f\u0d3f \u0d15\u0d42\u0d1f\u0d3f \u0d1a\u0d47\u0d7c\u0d24\u0d4d\u0d24\u0d3e\u0d7d \u0d2a\u0d41\u0d24\u0d3f\u0d2f \u0d36\u0d30\u0d3e\u0d36\u0d30\u0d3f?<br>\n  <em>(Average weight of 11 is 43 kg. New average after adding 40 kg student?)<\/em><\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 42.75 kg<\/div>\n    <div class=\"option-item\">(b) 42 kg<\/div>\n    <div class=\"option-item\">(c) 40 kg<\/div>\n    <div class=\"option-item\">(d) 42.5 kg<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"logic-text\"><strong>Logic:<\/strong> Find shortage and share among all.<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d15\u0d41\u0d31\u0d35\u0d4d \u0d0e\u0d32\u0d4d\u0d32\u0d3e\u0d35\u0d7c\u0d15\u0d4d\u0d15\u0d41\u0d02 \u0d35\u0d40\u0d24\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d15.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. Shortage: 43 &#8211; 40 = 3 kg<\/div>\n    <div class=\"step-item\">2. Total people: 12<\/div>\n    <div class=\"step-item\">3. Share: 3 \u00f7 12 = 0.25<\/div>\n    <div class=\"step-item\">4. New Average: 43 &#8211; 0.25 = 42.75<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (a) 42.75 kg<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 10 \u0d15\u0d41\u0d1f\u0d4d\u0d1f\u0d3f\u0d15\u0d7e \u0d36\u0d30\u0d3e\u0d36\u0d30\u0d3f 15. 26 \u0d35\u0d2f\u0d38\u0d4d\u0d38\u0d41\u0d33\u0d4d\u0d33 \u0d1f\u0d40\u0d1a\u0d4d\u0d1a\u0d7c \u0d35\u0d28\u0d4d\u0d28\u0d3e\u0d7d \u0d2a\u0d41\u0d24\u0d3f\u0d2f \u0d36\u0d30\u0d3e\u0d36\u0d30\u0d3f?<br>\n      <strong>Options:<\/strong> (a) 16 | (b) 17 | (c) 15.5 | (d) 18<br>\n      <strong>Shortcut:<\/strong> Extra = 26-15=11, divide by 11, add to 15 = 16<br>\n      <strong>\u2713 Answer:<\/strong> (a) 16\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 4 \u0d2a\u0d47\u0d7c \u0d36\u0d30\u0d3e\u0d36\u0d30\u0d3f 20. \u0d12\u0d30\u0d3e\u0d7e \u0d2a\u0d4b\u0d2f\u0d3f, \u0d36\u0d30\u0d3e\u0d36\u0d30\u0d3f 19. \u0d2a\u0d4b\u0d2f \u0d06\u0d7e?<br>\n      <strong>Options:<\/strong> (a) 21 | (b) 23 | (c) 24 | (d) 22<br>\n      <strong>Shortcut:<\/strong> He took 1 extra from 3 people: 20 + 3 = 23<br>\n      <strong>\u2713 Answer:<\/strong> (b) 23\n    <\/div>\n  <\/div>\n<\/div>\n\n<!-- Question 100 -->\n<div class=\"question-card\">\n  <div class=\"question-header\">Question 100<\/div>\n  <div class=\"question-text\">1\/2 + 3\/16 + 5\/64 = ?<\/div>\n  \n  <div class=\"options\">\n    <div class=\"option-item\">(a) 9\/82<\/div>\n    <div class=\"option-item\">(b) 49\/64<\/div>\n    <div class=\"option-item\">(c) 9\/32<\/div>\n    <div class=\"option-item\">(d) 9\/64<\/div>\n  <\/div>\n  \n  <div class=\"shortcut-box\">\n    <div class=\"shortcut-title\">\u26a1 Shortcut Method<\/div>\n    <div class=\"logic-text\"><strong>Logic:<\/strong> Convert all to common denominator 64.<\/div>\n    <div class=\"logic-text\"><strong>\u0d28\u0d3f\u0d2f\u0d2e\u0d02:<\/strong> \u0d0e\u0d32\u0d4d\u0d32\u0d3e\u0d02 64-\u0d32\u0d47\u0d15\u0d4d\u0d15\u0d4d \u0d2e\u0d3e\u0d31\u0d4d\u0d31\u0d41\u0d15.<\/div>\n  <\/div>\n  \n  <div class=\"steps\">\n    <div class=\"step-item\">1. 1\/2 = 32\/64<\/div>\n    <div class=\"step-item\">2. 3\/16 = 12\/64<\/div>\n    <div class=\"step-item\">3. 5\/64 = 5\/64<\/div>\n    <div class=\"step-item\">4. Add: 32 + 12 + 5 = 49\/64<\/div>\n  <\/div>\n  \n  <div class=\"answer-box\">\u2713 Answer: (b) 49\/64<\/div>\n  \n  <div class=\"extra-practice\">\n    <div class=\"extra-title\">\ud83d\udcdd Extra Practice Questions<\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q1:<\/strong> 1\/2 + 1\/4 + 1\/8 = ?<br>\n      <strong>Options:<\/strong> (a) 3\/8 | (b) 5\/8 | (c) 7\/8 | (d) 6\/8<br>\n      <strong>Shortcut:<\/strong> 4\/8 + 2\/8 + 1\/8 = 7\/8<br>\n      <strong>\u2713 Answer:<\/strong> (c) 7\/8\n    <\/div>\n    \n    <div class=\"extra-question\">\n      <strong>Extra Q2:<\/strong> 1\/10 + 2\/100 = ?<br>\n      <strong>Options:<\/strong> (a) 3\/100 | (b) 12\/100 | (c) 20\/100 | (d) 12\/10<br>\n      <strong>Shortcut:<\/strong> 10\/100 + 2\/100 = 12\/100<br>\n      <strong>\u2713 Answer:<\/strong> (b) 12\/100\n    <\/div>\n  <\/div>\n<\/div>\n\n<div style=\"text-align: center; margin-top: 30px; padding: 20px; background: linear-gradient(135deg, #667eea 0%, #764ba2 100%); color: white; border-radius: 10px;\">\n  <h3 style=\"margin: 0 0 10px 0;\">\ud83c\udf93 WindowEdu &#8211; Kerala PSC Preparation<\/h3>\n  <p style=\"margin: 0; font-size: 14px;\">\ud83d\udcda Master PSC with Shortcut Methods | \u0d2a\u0d20\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d15 \u2022 \u0d35\u0d3f\u0d1c\u0d2f\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d15 \u2022 \u0d38\u0d3e\u0d15\u0d4d\u0d37\u0d3e\u0d24\u0d4d\u0d15\u0d30\u0d3f\u0d15\u0d4d\u0d15\u0d41\u0d15<\/p>\n  <p style=\"margin: 10px 0 0 0; font-size: 13px;\">Complete Solutions: Questions 81-100 with Extra Practice \u2713<\/p>\n<\/div>\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\ud83c\udf93 Kerala PSC Mathematics &#8211; Questions 81-100 Question 81 25\u00b2 \u00d7 4\u00b2 = ? (a) 100 (b) 10000 (c) 625 (d) 1000 \u26a1 Shortcut Method (\u0d0e\u0d33\u0d41\u0d2a\u0d4d\u0d2a\u0d35\u0d34\u0d3f) Logic: When powers are the same, multiply base numbers first, then apply power. \u0d28\u0d3f\u0d2f\u0d2e\u0d02: \u0d2a\u0d35\u0d31\u0d41\u0d15\u0d7e \u0d12\u0d30\u0d47\u0d2a\u0d4b\u0d32\u0d46\u0d2f\u0d3e\u0d23\u0d46\u0d19\u0d4d\u0d15\u0d3f\u0d7d, \u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d15\u0d33\u0d46 \u0d24\u0d2e\u0d4d\u0d2e\u0d3f\u0d7d \u0d17\u0d41\u0d23\u0d3f\u0d1a\u0d4d\u0d1a \u0d36\u0d47\u0d37\u0d02 \u0d2a\u0d35\u0d7c \u0d28\u0d7d\u0d15\u0d41\u0d15. a\u00b2 \u00d7 b\u00b2 = (a \u00d7 b)\u00b2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"content-type":"","om_disable_all_campaigns":false,"_uag_custom_page_level_css":"","ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"","ocean_second_sidebar":"","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"","ocean_custom_header_template":"","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"","ocean_menu_typo_font_family":"","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"","ocean_post_oembed":"","ocean_post_self_hosted_media":"","ocean_post_video_embed":"","ocean_link_format":"","ocean_link_format_target":"self","ocean_quote_format":"","ocean_quote_format_link":"post","ocean_gallery_link_images":"on","ocean_gallery_id":[],"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2858","post","type-post","status-publish","format-standard","hentry","category-uncategorized","entry"],"aioseo_notices":[],"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"ocean-thumb-m":false,"ocean-thumb-ml":false,"ocean-thumb-l":false},"uagb_author_info":{"display_name":"raghumadambath","author_link":"https:\/\/windowedu.in\/blog\/?author=1"},"uagb_comment_info":0,"uagb_excerpt":"\ud83c\udf93 Kerala PSC Mathematics &#8211; Questions 81-100 Question 81 25\u00b2 \u00d7 4\u00b2 = ? (a) 100 (b) 10000 (c) 625 (d) 1000 \u26a1 Shortcut Method (\u0d0e\u0d33\u0d41\u0d2a\u0d4d\u0d2a\u0d35\u0d34\u0d3f) Logic: When powers are the same, multiply base numbers first, then apply power. \u0d28\u0d3f\u0d2f\u0d2e\u0d02: \u0d2a\u0d35\u0d31\u0d41\u0d15\u0d7e \u0d12\u0d30\u0d47\u0d2a\u0d4b\u0d32\u0d46\u0d2f\u0d3e\u0d23\u0d46\u0d19\u0d4d\u0d15\u0d3f\u0d7d, \u0d38\u0d02\u0d16\u0d4d\u0d2f\u0d15\u0d33\u0d46 \u0d24\u0d2e\u0d4d\u0d2e\u0d3f\u0d7d \u0d17\u0d41\u0d23\u0d3f\u0d1a\u0d4d\u0d1a \u0d36\u0d47\u0d37\u0d02 \u0d2a\u0d35\u0d7c \u0d28\u0d7d\u0d15\u0d41\u0d15. a\u00b2 \u00d7 b\u00b2 = (a \u00d7 b)\u00b2&hellip;","_links":{"self":[{"href":"https:\/\/windowedu.in\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2858","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/windowedu.in\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/windowedu.in\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/windowedu.in\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/windowedu.in\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2858"}],"version-history":[{"count":2,"href":"https:\/\/windowedu.in\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2858\/revisions"}],"predecessor-version":[{"id":2860,"href":"https:\/\/windowedu.in\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2858\/revisions\/2860"}],"wp:attachment":[{"href":"https:\/\/windowedu.in\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2858"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/windowedu.in\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2858"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/windowedu.in\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2858"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}