Quantitative Aptitude

Problems on Ages

1,744 Questions
All Translate multiples, fractions, and percentages 518 Use two ratios from different dates 500 Convert an age ratio into actual ages 258 Handle averages and changing groups 167 Generational age chains 111 Recognize equal age gaps 101 Product of ages 68 Ages in arithmetic progression 11 Division of lifespan 9

Problems on Ages Questions

Multiple choice

The present age of a father is 3 years more than three time the age of his son. Three years hence, father’s age will be 10 years more than twice the age of the son. The father’s present age is? पिता की वर्तमान आयु उसके पुत्र की आयु का तीन गुना से 3 वर्ष अधिक है. तीन वर्ष बाद , पिता की आयु उसके पुत्र की आयु के दुगने से 10 वर्ष अधिक है. तो पिता की वर्तमान आयु क्या है ?

  1. 33 years/वर्ष

  2. 39 years/वर्ष

  3. 45 years/वर्ष

  4. 40 years/वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let son's present age be x. Father's present age = 3x + 3. After 3 years: Father's age will be 3x + 6, son's age will be x + 3. Equation: 3x + 6 = 2(x + 3) + 10. Solving: 3x + 6 = 2x + 6 + 10. 3x + 6 = 2x + 16. x = 10. So son's present age is 10, father's present age = 3(10) + 3 = 33 years.

Multiple choice

Ankit's age is thrice the Ayush's age. After 12 years Ankit's age will be twice the Ayush's age. What is Ankit's present age?

  1. 27 years

  2. 32 years

  3. 36 years

  4. 40 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Ayush's present age be x years. Then Ankit's present age is 3x years. After 12 years: Ankit's age = 3x + 12, Ayush's age = x + 12. Given that 3x + 12 = 2(x + 12). Solving: 3x + 12 = 2x + 24, therefore x = 12. Ankit's present age = 3 × 12 = 36 years. Option B (32 years) and Option D (40 years) don't satisfy the conditions.

Multiple choice

Suresh's age is 4 year's less than twice the age of his brother which of the following represents the equation to find his age? सुरेश की उम्र अपने भाई के उम्र के दुगुने से 4 वर्ष कम है। निम्न में से उसकी उम्र निकालने का समीकरण कौन है?

  1. 2x+4

  2. 4x+2

  3. x-4

  4. 2x-4
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The problem states that Suresh's age is 4 years less than twice his brother's age. If we let the brother's age be x, then twice the brother's age is 2x. Four years less than this is 2x-4, which represents Suresh's age. Options A, B, and C do not correctly represent this relationship.

Multiple choice

In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is- 10 वर्ष में A दो गुना हो जायेगा जितना कि B 10 वर्ष पहले था। यदि वर्तमान में A, B से 9 वर्ष बड़ा है तो B की वर्तमान आयु क्या है ?

  1. 35

  2. 37

  3. 38

  4. 39
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let B's present age be x years. Since A is 9 years older than B, A's present age is (x + 9) years. In 10 years, A's age will be (x + 19) years. Ten years ago, B's age was (x - 10) years. According to the problem: x + 19 = 2(x - 10). Solving: x + 19 = 2x - 20, so x = 39. Therefore, B's present age is 39 years.

Multiple choice

The present ages of A, B and C are in the ratio of 5 : 11 : 13 respectively. The present age of B, C and D are in the ratio of 22 : 25 : 23 respectively. Which of the following represents the ratio of the present ages of A, B,C and D respectively ? A, B और C की वर्तमान आयु क्रमशः 5 : 11 : 13 के अनुपात में है। B, C और D की वर्तमान आयु क्रमशः 22 : 25 : 23 के अनुपात में है। निम्नलिखित में से कौन सा A, B, C और D का वर्तमान आयु का अनुपात है ?

  1. 3 : 2 : 4 : 5

  2. 10 : 22 : 26 : 23

  3. 15 : 33 : 39 : 26

  4. Cannot be determined / निर्धारित नहीं किया जा सकता है।
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A:B:C = 5:11:13 and B:C:D = 22:26:23 (converted from 22:25:23 by matching). For both ratios to be consistent, B must have same value. In first, B = 11k. In second, B = 22m. So 11k = 22m, giving k = 2m. A = 5k = 10m, C = 13k = 26m from first; D = 23m from second. Ratio A:B:C:D = 10:22:26:23. However, the second ratio was given as 22:25:23, not 22:26:23. These are inconsistent (C cannot be both 26m and 25m simultaneously). Therefore, the combined ratio cannot be uniquely determined. Answer D is correct.

Multiple choice

The mother's age is six times her son's age. Four years hence the age of the mother will be four times her son's age. What is the present age of the son? मां की आयु उसके पुत्र की आयु की 6 गुनी है। अब से 4 वर्ष बाद, मां की आयु उसके पुत्र की आयु की चार गुनी होगी। पुत्र की वर्तमान आयु क्या है?

  1. 3 years/वर्ष

  2. 4 years/वर्ष

  3. 5 years/वर्ष

  4. 6 years/वर्ष
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the son's present age be x years. Then mother's age is 6x years. After 4 years: 6x+4 = 4(x+4). Solving: 6x+4 = 4x+16, so 2x = 12 and x = 6. The son is 6 years old.

Multiple choice

If the average age of Manoj and Amit is 32 years and the ratio of their ages is (9:7). What will be the ratio of their ages after 6 years?
  1. $34 : 42$
  2. $17 : 21$
  3. $34 : 17$
  4. $21 : 17$
  5. $21 : 19$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Average age = 32, so sum of ages = 32 × 2 = 64 years. Ratio 9:7 means Manoj = (9/16) × 64 = 36 years, Amit = (7/16) × 64 = 28 years. After 6 years: Manoj = 42, Amit = 34. Ratio = 42:34 = 21:17 (dividing by 2). The key insight is that both ages increase by the same amount (6 years), so we add 6 to each age before calculating the new ratio.

Multiple choice

The sum of Monika and her Mother's age is 49 years.Seven years before the mother's age was four times of Monika's age .What is the age of Monika? मोनिका और उसकी माता की आयु का योग 49 वर्ष है। सात वर्ष पूर्व उसकी माता की आयु मोनिका की आयु की चार गुनी थी। मोनिका की आयु क्या है?

  1. 14

  2. 12

  3. 10

  4. 16
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Monika's age = M, Mother's age = Mo. M + Mo = 49. Seven years ago: Mo - 7 = 4(M - 7). Substituting Mo = 49 - M: 49 - M - 7 = 4M - 28 → 42 - M = 4M - 28 → 70 = 5M → M = 14 years.

Multiple choice

Gagan's age is 1/6th of his father's age. Gagan's father's age will be twice the age of Raman's age after 10 years. If Raman's eight birthday was celebrated two years before, then what is Gagan's father's present age./गगन की आयु उसके पिता की आयु का 1/6 है। गगन के पिता की आयु 10 वर्ष बाद रमन की आयु का दोगुना हो जायेगी। यदि रमन का आठवां जन्मदिन 2 वर्ष पहले मनाया गया तो गगन के पिता की वर्तमान आयु क्या है?

  1. 24 years/वर्ष

  2. 30 years/वर्ष

  3. 22 years/वर्ष

  4. 25 years/वर्ष
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Raman's 8th birthday was 2 years ago, so Raman is currently 10 years old. After 10 years, Raman will be 20. At that time, Gagan's father will be twice Raman's age, so father will be 40. Therefore father's present age = 40-10 = 30 years. Option B is correct.

Multiple choice

The ratio of present ages of A and B is 3:1. Four years earlier the ratio was 4:1. The present age of A is : वर्तमान में A और B की आयु का अनुपात 3 : 1 है। चार वर्ष पूर्व अनुपात 4 : 1 था। A की वर्तमान आयु कितनी है?

  1. 36

  2. 48

  3. 42

  4. 30
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let present ages be 3x and x. Four years ago: ages were (3x - 4) and (x - 4), with ratio 4:1. So (3x - 4)/(x - 4) = 4/1. Cross-multiplying: 3x - 4 = 4x - 16, giving x = 12. Present age of A = 3x = 36 years. Option A is correct.

Multiple choice

A girl is twice as old as her brother and half as old as her father. After 26 years her brother's age will be half of her father's age .What is the present age of the girl? एक लड़की अपने भाई की आयु की दोगुनी है,और अपने पिता की आयु की आधी है । 26 वर्ष बाद उसके भाई की आयु पिता की आयु की आधी होगी। लड़की की वर्तमान आयु क्या है?

  1. 23 years / वर्ष

  2. 25 years /वर्ष

  3. 26 years/ वर्ष

  4. 29 years/ वर्ष
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let girl's age = G, brother = B, father = F. G = 2B and G = F/2, so F = 2G. After 26 years: B + 26 = (F + 26)/2. Substituting: G/2 + 26 = (2G + 26)/2, giving G/2 + 26 = G + 13. So 13 = G/2, giving G = 26. Option C is correct.

Multiple choice

Present age of Ravi is 5 years less than Renu's present age. If 3 years ago Renu's age was x, which of the following represents Ravi's present age? रवि की वर्तमान आयु रेनु की वर्तमान आयु से 5 वर्ष कम है। यदि 3 वर्ष पहले रेनू की आयु x की आयु x वर्ष थी तो निम्न में से कौन सा रवि की वर्तमान आयु को निरूपित करता है?

  1. x + 3

  2. x - 2

  3. x-3 + 8

  4. x + 3 + 8
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If Renu's age 3 years ago was x, then her present age is x + 3. Since Ravi's present age is 5 years less than Renu's present age, Ravi's age = (x + 3) - 5 = x - 2. Option A (x + 3) incorrectly gives Renu's present age instead of Ravi's.

Multiple choice

5 years ago, the average age of P, Q and R was 25 years and 7 years ago, the average age of Q and R was 20 years. What is P's present age?

  1. 29 years

  2. 24 years

  3. 21 years

  4. 30 years

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

5 years ago: (P+Q+R-15)÷3 = 25, so P+Q+R = 90. 7 years ago: (Q+R-14)÷2 = 20, so Q+R = 54. Then P = 90-54 = 36 (5 years ago). P's present age = 36+5 = 41. But 41 is not in options A-D. Answer E (None of these) is correct. The question tests understanding of age problems and checking all options.