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

DIRECTIONS for the question: Solve the following question and mark the best possible option. A father tells his son, "I was of your present age when you were born". If the father is 36 now, how old was the boy five years back?

  1. 13

  2. 12

  3. B

  4. 10

  5. NONE OF THESE
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the son's age be x and father's age be y. When the son was born (age 0), the father was x. So y - x = x, meaning y = 2x. Given y = 36, then x = 18. Five years ago, the boy was 18 - 5 = 13.

Multiple choice

Quantity I: What is the sum of ages of Minu and Mohan, if the difference between their ages is 4 years and the ratio between their ages is 5: 6? Quantity II: The ratio between the present ages of Raj and Kamal is 16: 17 respectively. After 8 years, Raj's age will be 40 years. What was Kamal's age 4 years ago?

  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: Diff = 4, Ratio 5:6. Let ages be 5x, 6x. 6x - 5x = 4, x = 4. Ages are 20, 24. Sum = 44. Quantity II: Raj/Kamal = 16/17. Raj + 8 = 40, so Raj = 32. 16x = 32, x = 2. Kamal = 17 * 2 = 34. 4 years ago, Kamal = 30. 44 > 30.

Multiple choice

The ratio of the sum of the ages of two siblings, A and B, to the difference between their ages is 4 : 1. The ratio of the sum of the ages of B and C to the difference between their ages is 3 : 2. If A's age is the highest and C's age is the lowest, and the total of all their ages is 86 years, what is B's age?

  1. 15 years

  2. 25 years

  3. 30 years

  4. 40 years

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

Let A, B, C be the ages. (A+B)/(A-B) = 4/1 implies A+B = 4A-4B, so 3A = 5B. (B+C)/(B-C) = 3/2 implies 2B+2C = 3B-3C, so B = 5C. Substituting B=5C into 3A=5B gives 3A=25C, so A = 25C/3. Total age A+B+C = 86 becomes (25C/3) + 5C + C = 86. Multiplying by 3 gives 25C + 15C + 3C = 258, so 43C = 258, C = 6. Then B = 5 * 6 = 30.

Multiple choice

Five years ago, Emma was one-fourth as old as Liam. Five years from now, Liam will be three times as old as Emma. What is the ratio of Emma's present age to Liam's present age?

  1. 1 : 7

  2. 5 : 17

  3. 12 : 17

  4. 15 : 17

  5. 17 : 5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let E and L be present ages. (E-5) = 1/4(L-5) => 4E - 20 = L - 5 => L = 4E - 15. (L+5) = 3(E+5) => L + 5 = 3E + 15 => L = 3E + 10. Equating: 4E - 15 = 3E + 10 => E = 25. Then L = 3(25) + 10 = 85. Ratio E/L = 25/85 = 5/17.

Multiple choice

The present ages of three people – A, B and C, are such that they are all integers whose sum is 136 and, the age of A after 𝑎 years, the age of B after 𝑏 years and the age of C after 𝑐 years, are all equal, where 𝑎 : 𝑏 : 𝑐 = 2 ∶ 3 ∶ 6. If C is younger than B by more than 3 years, then what is the maximum possible age (in years) of C?

  1. 36

  2. 48

  3. 43

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

Let ages be A, B, C. A+B+C = 136. A+a = B+b = C+c = K. a:b:c = 2:3:6. Let a=2k, b=3k, c=6k. A = K-2k, B = K-3k, C = K-6k. Sum: 3K - 11k = 136. Since ages are integers, test values for k. Given C < B-3, K-6k < K-3k-3 => 3 < 3k => k > 1. Testing k=2: 3K = 136 + 22 = 158 (not divisible). Testing k=4: 3K = 136 + 44 = 180 => K=60. A=52, B=48, C=36. Check: C < B-3 (36 < 45).

Multiple choice

In a small village, a historian is researching the ages of key individuals in an old family lineage to complete a historical record. John is 31 years older than Emily, Emily is 3 years older than Sarah, and Michael is 5 years younger than Sarah. Three years from now, John's age will be equal to the combined ages of Emily, Sarah, and Michael. Determine the present age of John to help the historian complete the record.

  1. 43

  2. 46

  3. 49

  4. 52
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Sarah's age be S. Emily = S+3, John = S+3+31 = S+34, Michael = S-5. Three years from now: John+3 = (Emily+3) + (Sarah+3) + (Michael+3). (S+34+3) = (S+3+3) + (S+3) + (S-5+3). S+37 = 3S+7. 2S = 30, S = 15. John = 15+34 = 49.

Multiple choice

Ankit says that in 10 years, his age will be three times Ritu's age. At present, Ankit is 8 times as old as Ritu, Vijay is 7 times as old as Ritu, and Sneha is 4 times as old as Ritu. What will be the combined age of Sneha and Ritu five years from now?

  1. 26 years

  2. 28 years

  3. 30 years

  4. 32 years

  5. 34 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Ritu's age be x. Ankit = 8x, Vijay = 7x, Sneha = 4x. In 10 years: Ankit + 10 = 3(Ritu + 10) => 8x + 10 = 3x + 30 => 5x = 20 => x = 4. Sneha is 4*4 = 16. Ritu is 4. Five years from now, Sneha = 16 + 5 = 21, Ritu = 4 + 5 = 9. Combined = 21 + 9 = 30.