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Mathematics - Age: 3 MCQs with Answers

Age - Mathematics
Mathematics - Age

Mathematics- Age

Practice the Problems on Ages topic with a comprehensive collection of multiple-choice questions (MCQs) designed for SSC, Banking, Railway, UPSC, State PSC, CTET, HTET, Defence, Insurance, and other competitive examinations. Solve questions based on present age, past age, future age, age differences, age ratios, family age relationships, and real-life age problems. Every question includes a detailed explanation to help you strengthen your logical reasoning, improve calculation speed, and build confidence for competitive exams.

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Q1. रमेश और उसकी पुत्री की वर्तमान आयु का अनुपात 8 : 5 है, 8 वर्ष पश्चात्उनकी आयु का अनुपात 3 : 2 होगा, तो पुत्री की वर्तमान आयु है :

Right Answer: 40 वर्ष

Explanation:

माना रमेश तथा उसकी पुत्री की वर्तमान आयु क्रमशः 8x और 5x वर्ष है। आठ वर्ष बाद उनकी आयु 8x + 8 तथा 5x + 8 होगी और प्रश्नानुसार इनका अनुपात 3 : 2 है। अतः (8x + 8)/(5x + 8) = 3/2। तिर्यक गुणा करने पर 16x + 16 = 15x + 24, जिससे x = 8। इसलिए पुत्री की वर्तमान आयु = 5x = 5 × 8 = 40 वर्ष। सत्यापन — रमेश की आयु 64 वर्ष; आठ वर्ष बाद 72 और 48, जिनका अनुपात 3 : 2 है। अतः सही उत्तर 40 वर्ष है।

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Q2. राहुल और करण की वर्तमान आयु का अनुपात क्रमशः 5 : 4 है। 12 वर्षों के बाद, उनकी आयु का अनुपात क्रमशः 7 : 6 हो जाएगा। उनकी वर्तमान आयु के बीच का अन्तर क्या है?

Right Answer: 6 वर्ष

Explanation:

मान लें वर्तमान आयु 5x और 4x वर्ष है। 12 वर्ष बाद: (5x+12)/(4x+12) = 7/6 ⇒ 6(5x+12) = 7(4x+12) ⇒ 30x+72 = 28x+84 ⇒ 2x = 12 ⇒ x = 6। अतः आयु 30 व 24 वर्ष हैं और उनके बीच अन्तर = 30−24 = 6 वर्ष।
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Q3. एक पिता की आयु अपने 5 बच्चों की आयु के योग के बराबर है। 15 वर्षों के बाद, बच्चों की आयु का योग पिता की आयु से दोगुना होगा। पिता की आयु ज्ञात करें।

Right Answer: 45 वर्षों

Explanation:

मान लीजिए पिता की वर्तमान आयु F है। 15 वर्ष बाद बच्चों की कुल आयु F+75 होगी (5 बच्चे × 15 वर्ष)। दिया है F+75 = 2(F+15) → F = 45.
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Published: 12 July 2026 | Last Updated: 03 September 2026 |

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Deepak - Educational Content Creator

Written by Deepak

Educational Content Creator

I am an educational content creator dedicated to making learning simple, engaging, and accessible for students preparing for competitive exams. He specializes in creating high-quality study materials, including notes, multiple-choice questions (MCQs), previous year question papers, practice tests, and exam-oriented resources.

Experience: 10+ years in Education and Competitive Exam Content Creator

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