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

A husband age is thrice that of his wife’s age. Six years ago, the husband's age was five times that of the wife’s age. What is the present age of wife?/एक पति की उम्र उसकी पत्नी की उम्र से तीन गुनी है। छह साल पहले, पति की उम्र पत्नी की उम्र के पांच गुना थी। पत्नी की वर्तमान आयु क्या है?

  1. 16years/ 16 साल

  2. 26 years/26 साल

  3. 12 years /12 साल

  4. 30 years/30 साल
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let wife's current age = W, then husband = 3W. Six years ago: (3W-6) = 5(W-6). Solving: 3W-6 = 5W-30, so 2W = 24, giving W = 12 years. Verification: Husband is 36, six years ago he was 30 and wife was 6, and 30 = 5 × 6.

Multiple choice

Five years ago, his father's age was 7 years more than 5 times the age of Vijay. After 10 years, his age will be 11 years less than that of 3 times of Vijay's age. Find father's present age.

  1. 40 years

  2. 44 years

  3. 46 years

  4. 42 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let father's present age be F and Vijay's present age be V. Five years ago: F-5 = 7 + 5(V-5), giving F = 5V - 13. After 10 years: F+10 = 3(V+10) - 11, giving F = 3V + 9. Equating: 5V - 13 = 3V + 9, so 2V = 22, V = 11. Therefore, F = 5(11) - 13 = 42 years.

Multiple choice

The average age of 3 children in a family is 30% of the average age of mother and the eldest child. The total age of father and the youngest child is 45 years. If the mother‘s age is 40 and average age of father and mother is 42, what is the age of second child?

  1. 3

  2. 4

  3. 5

  4. 6

  5. Data inadequate
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Given: 3 children's average = 30% of (mother + eldest child's average). Father + youngest child = 45 years. Mother = 40, father + mother average = 42. From father + mother = 84, we get father = 44. Then youngest child = 45 - 44 = 1. The condition becomes: (C1 + C2 + C3)/3 = 0.3 × (40 + C3)/2, where C3 is eldest. This simplifies to C1 + C2 + C3 = 0.45(40 + C3), or C1 + C2 = 18 - 0.55C3. For valid positive ages, no unique solution exists without more information.

Multiple choice

In the following question, two equations I and II are given. Solve both the equations Carefully & answer the questions given below: What is the age of Mohan? I: Mohan is 3 years younger than Ram and the ratio of their ages is 7 : 8. II: Average age of John and Mohan is 30 years and John is 4 years older than Mohan.

  1. I > II

  2. I < II

  3. I ≥ II

  4. I ≤ II

  5. I = II, or relation cannot be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

From statement I, Mohan is 21 years (ratio 7:8 with Ram, difference 3 years gives 8x-7x=3, x=3). From statement II, Mohan is 28 years (average of 30 means sum is 60, John is 4 years older, so m+m+4=60, m=28). Since 21 < 28, statement I gives a smaller value than statement II.

Multiple choice

Find the value of both quantities and then state the correct relationship. Quantity I: Present age of A and B are in the ratio of 6: 7 respectively. 16 years hence, the ratio of ages will become 7: 8 respectively. What is A's present age in years? Quantity II: At present the ratio between the ages of Rahul and Nirdosh is 2: 1. After 7 years, Rahul's age will be 91 years. What is the age of Nirdosh at present?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Let ages be 6x and 7x. After 16 years: (6x + 16)/(7x + 16) = 7/8. 48x + 128 = 49x + 112, x = 16. A's age = 6 × 16 = 96. Quantity II: Rahul's present age = 91 - 7 = 84. Nirdosh's age = 84/2 = 42. Since 96 > 42, Quantity I > Quantity II.

Multiple choice

What is the present age of Ashish? I. Ashish is 4 years younger than Akash. The ratio of the age of Akash and Aman is 4:5. II. Aman is 9 years older than Ashish and the present age of Akash is 20 years. III. The present age of Ashish is 5 years less than the age of Mohan who is 25 years.

  1. Only I

  2. Only II

  3. Only III

  4. None of these

  5. Only II and III
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement II alone is sufficient: Aman is 9 years older than Ashish, and Akash is 20 years. Given Akash:Aman = 4:5, if Akash = 20, then Aman = 25. Therefore Ashish = 25 - 9 = 16 years. Statement III also gives Ashish = 25 - 5 = 20 years, which conflicts. Since each statement alone gives answer but answers differ, we need 'None of these' as correct.

Multiple choice

The average age of Ankur and Sangram at present is 37 years. Also, the difference between their ages is 30 years. If Ankur is elder than Sangram, what is the respective ratio between the present age of Ankur and the present age of Sangram?

  1. 12:23

  2. 24:11

  3. 26:11

  4. 18:31

  5. 22:25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Ankur's age be A and Sangram's age be S. Average = (A + S)/2 = 37, so A + S = 74. Difference: A - S = 30 (since Ankur is elder). Adding: (A + S) + (A - S) = 74 + 30 → 2A = 104 → A = 52. Then S = 74 - 52 = 22. Ratio A:S = 52:22 = 26:11 (dividing both by 2).

Multiple choice

At present, the sum of ages of 4 people is 76. After 7 years, the ratio of their ages will be 7:6:5:8. Find out the present age of C?

  1. 11

  2. 12

  3. 13

  4. 18

  5. 9
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let present ages be a, b, c, d. Then a + b + c + d = 76. After 7 years: (a+7) : (b+7) : (c+7) : (d+7) = 7 : 6 : 5 : 8. Let these be 7k, 6k, 5k, 8k. Total = 26k = 76 + 28 = 104, so k = 4. Present ages: 7(4)-7=21, 6(4)-7=17, 5(4)-7=13, 8(4)-7=25. C's present age is 13 years.

Multiple choice

Average of the present ages of husband, wife and their child is 38 years. At the time of birth of the child, average age of the husband and wife was 39 years. Find the present age of the child.

  1. 10

  2. 14

  3. 15

  4. 20

  5. 12
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Total age of all three = 38×3 = 114 years. When child was born (c years ago), average age of husband and wife was 39, so their combined age was 78 years. After c years, their combined age became 78 + 2c (both aged c years). Now: (78+2c) + c = 114, which gives 3c = 36, so c = 12 years.

Multiple choice

Anushika's age is four times her son's present age and four seventh of her father's age. The average of the present ages of all of them is 32 years. What is the difference between the Anushika's son's present age and Anushika's father's present age?

  1. 44 years

  2. 48 years

  3. 46 years

  4. 50 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's age = x. Then Anushika = 4x. Father = (7/4) x 4x = 7x. Average = (x + 4x + 7x)/3 = 12x/3 = 4x = 32, so x = 8. Son = 8, Anushika = 32, Father = 56. Wait - let me recalculate. If average is 32, then sum = 96. x + 4x + 7x = 96, so 12x = 96, x = 8. Son = 8, Anushika = 32, Father = 56. Difference = 56 - 8 = 48 years. But let me verify: 4x = 32 (Anushika), 7x = 56 (Father). The phrase 'four seventh of her father's age' means Anushika = (4/7) x Father's age, so Father = (7/4) x Anushika = 7x. Sum = 96 gives x = 8, Father = 56, Son = 8, difference = 48. Option B is correct.

Multiple choice

The ages of Ajay and Vijay are in the ratio (9 : 5). After eight years the ratio of their ages will be (13 : 9). What is the difference between their present ages?

  1. 8 years

  2. 12 years

  3. 9 years

  4. 6 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let present ages be 9x and 5x (difference = 4x). After 8 years: (9x+8)/(5x+8) = 13/9. Cross-multiplying: 9(9x+8) = 13(5x+8), giving 81x + 72 = 65x + 104, so 16x = 32 and x = 2. Present difference = 4x = 8 years. Age ratio problems require setting up the proportion correctly.

Multiple choice

The ratio of present ages of Rahul and his sister is 3 : 4. Before 10 years the ratio of their ages was 13:19. What is Rahul's present age (in years)?

  1. 24

  2. 30

  3. 36

  4. 48
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Rahul's present age be 3x and his sister's be 4x. Ten years ago: (3x-10)/(4x-10) = 13/19. Cross-multiplying: 57x - 190 = 52x - 130, so 5x = 60 and x = 12. Rahul's present age = 3x = 36 years. Option A (24) would be 3x if x=8, but that doesn't satisfy the past ratio. Option D (48) would make Rahul's sister 64, giving 38:54 = 19:27 ten years ago, not 13:19.

Multiple choice

Anushika is (8) years younger than her husband and is (3) times as old as her daughter. If the daughter attains (21) years of age after (6) years, what is the present age of the husband?

  1. 53 years

  2. 58 years

  3. 43 years

  4. 48 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Daughter's age after 6 years = 21, so present age = 15. Anushika is 3× daughter's age = 3 × 15 = 45 years. Anushika is 8 years younger than husband, so husband = 45 + 8 = 53 years. Option B (58) would require daughter to be older, or Anushika to be older than 45. Option D (48) would make Anushika 40, which is not 3× daughter's age (15).