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

Ashutosh's present age is three times his daughter's present age and nine-thirteenth of his mother's present age. The sum of the present age of all of them is 125 years. What is the difference between the Ashutosh's daughter's present age and Ashutosh's mother's present age? आशुतोष की वर्तमान आयु उसी बेटी की आयु की तीन गुना है और अपनी माँ की आयु की 9/13 गुना है। इन तीनों की वर्तमान आयु का योग 125 वर्ष है । आशुतोष की बेटी की वर्तमान आयु और आशुतोष की माँ की वर्तमान आयु का अंतर क्या है?

  1. 50

  2. 32

  3. 40

  4. 36
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let daughter's age = d. Ashutosh = 3d. Mother = (13/9) × 3d = (13/3)d. Sum: d + 3d + (13/3)d = 125. Converting: 3d/3 + 9d/3 + 13d/3 = 125, giving 25d/3 = 125, so d = 15. Mother's age = (13/3) × 15 = 65. Difference = 65 - 15 = 50.

Multiple choice

Which information are sufficient to answer the questions? What is the mother’s present age? I. The present ages of mother and child are in the ratio of 5 : 1 respectively. II. Four years hence the ratio of the ages of mother and child will be 17 : 5 respectively.

  1. I alone

  2. II alone

  3. Any one

  4. Both together are sufficient

  5. Both together are not sufficient
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives ratio M:C = 5:1, but one equation with two unknowns is insufficient. Statement II gives (M+4):(C+4) = 17:5, also one equation with two unknowns - insufficient alone. Together they form two equations that can be solved: M = 5C and (5C+4)/(C+4) = 17/5, giving C = 6 and M = 30. Both statements together are necessary and sufficient.

Multiple choice

Which information are necessary to answer the questions asked- What is the sum of the age of Ram and Mohan? Statement I : The age of Ram is 6 years more than the age of Mohan. Statement II : 40% of the age of Mohan is equal to 30% of the age of Ram. Statement III : The ratio between half of the age of Ram and one third of the age of Mohan is 2 : 1.

  1. All three together are sufficient

  2. Any two are sufficient

  3. I and (III or II) together are sufficient

  4. III or (I and II) are sufficient

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

Statement I: R = M + 6. Statement II: 0.4M = 0.3R → 4M = 3R → R = 4M/3. Combining I and II: 4M/3 = M + 6 → 4M = 3M + 18 → M = 18, R = 24. Sum = 42. Statement III: (R/2) : (M/3) = 2 : 1 → 3R = 4M → R = 4M/3 (same as II). So I + (II or III) works. I alone insufficient, II or III alone insufficient.

Multiple choice

The average age of father, son and mother is 42 years. 12 years ago their ages were in the ratio 7 : 2 : 6. Then find the present age of mother.

  1. 36

  2. 48

  3. 24

  4. 18
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total present age = 3 × 42 = 126 years. Let ages 12 years ago be 7x, 2x, 6x (father:son:mother). Present ages are 7x+12, 2x+12, 6x+12. Their sum = 15x+36 = 126, so x=6. Mother's present age = 6x+12 = 48 years. Option A (36) would make mother younger than the calculated age. Option C (24) is too small for a mother in this family.

Multiple choice

Priyanshu is 7 years older than Chhavi, after 4 years, the age of Chhavi will be half of Priyanshu's age, so how much will the sum of their present age (in the years) be?

  1. 19

  2. 17

  3. 15

  4. 13
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Chhavi's present age be x. Then Priyanshu is x+7. After 4 years: Chhavi = x+4, Priyanshu = x+11. Given that Chhavi's age will be half of Priyanshu's: x+4 = (x+11)/2. Solving: 2x+8 = x+11, therefore x = 3. So Chhavi is 3 and Priyanshu is 10. Their present ages sum to 13, making option D correct.

Multiple choice

A's age eight years ago was equal to twice of B's age two years ago. C is six years older than B. If the respective ratio between present ages of A and C is 8: 5, what is B's present age? (In years)

  1. 18

  2. 12

  3. 15

  4. 20

  5. 14
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let A's present age = 8x, B's present age = y, C's present age = 5x (from ratio 8:5). Given: C is 6 years older than B, so 5x = y + 6, giving y = 5x - 6. Also: A's age 8 years ago = 2 × (B's age 2 years ago), so 8x - 8 = 2(y - 2) = 2y - 4. Substituting y = 5x - 6: 8x - 8 = 2(5x - 6) - 4 = 10x - 12 - 4 = 10x - 16. Solving: 8x - 8 = 10x - 16 gives 2x = 8, so x = 4. Therefore B's age = 5(4) - 6 = 14 years. Option E is correct.

Multiple choice

What is the present age of Rajesh? Statement -I) five year ago ages of Shreya and Preeti was in the ratio of 2:3 Statement -II) three year ago the ratio of ages of Rajesh and Shreya is 3:4 Statement -III) at present Shreya is 5 year younger than Preeti.

  1. II and either I or III

  2. Any two

  3. II and III

  4. I and III

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

To find Rajesh's present age, we need all three statements. From I and III: 5 years ago Shreya:Preeti = 2:3, let S=2x, P=3x. Currently S=2x+5, P=3x+5. Since Shreya is 5 years younger than Preeti now, 2x+5 = (3x+5) - 5, giving x=5. So Shreya is 15, Preeti is 20 currently. From II: 3 years ago Rajesh:Shreya = 3:4, so (R-3):(15-3) = 3:4, giving R-3 = 9, so R=12. All three statements are necessary.

Multiple choice

Age of A is 4 times of B. B is (\frac{1}{3}) times of C. If the ratio of age of A and C become 13: 11 after 10 years then find the age of B after 8 years.

  1. 20 years

  2. 12 years

  3. 28 years

  4. 24 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let B's current age = x. Then A = 4x, and C = 3x (since B = C/3, so C = 3B). After 10 years: A+10 : C+10 = 13:11, so (4x+10)/(3x+10) = 13/11. Cross-multiplying: 44x+110 = 39x+130, so 5x = 20, x = 4. B's current age is 4. After 8 years, B = 4+8 = 12 years.

Multiple choice

A man is 26 years older than his son. Three years hence, he will be three times as old as his son. What is the present age of the father?

  1. 10 years

  2. 36 years

  3. 32 years

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

Let son's present age be x years. Father's present age = x + 26 years. After 3 years: son will be (x + 3) and father will be (x + 29). Given: x + 29 = 3(x + 3). Solving: x + 29 = 3x + 9, so 20 = 2x, thus x = 10. Son's present age is 10 years, so father's present age is 10 + 26 = 36 years.

Multiple choice

Ratio of ages of Amit, Bhanu, Chandresh, Dharmendra and Gyanendra is 5:6:7:8:9. If sum of the ages of Bhanu, Chandresh and Dharmendra is 77 years more than the sum of ages of Amit and Gyanendra. What is the ratio of their ages after 12 years?

  1. 62:72:82:92:101

  2. 67:78:89:100:111

  3. 65:73:83:98:104

  4. 64:78:83:95:103

  5. 70:83:68:56:93
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let ages be 5x, 6x, 7x, 8x, 9x. Sum of Bhanu, Chandresh, Dharmendra = 6x + 7x + 8x = 21x. Sum of Amit and Gyanendra = 5x + 9x = 14x. Given: 21x = 14x + 77, so 7x = 77, x = 11. Current ages: 55, 66, 77, 88, 99. After 12 years: 67, 78, 89, 100, 111. Ratio = 67:78:89:100:111.

Multiple choice

The average of the ages of A, B and C at present is 28 years. 7 years ago the ratio of ages of A and C was 1 : 4 and the age of B was 90% more than the age of C. After 8 years the age of C will be what percentage of the present age of A?

  1. 290.55%

  2. 299.9%

  3. 291.66%

  4. 298.67%

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

Let present ages of A, B, C be a, b, c. Their average is 28, so a + b + c = 84. Seven years ago: (a-7)/(c-7) = 1/4, giving c = 4a - 21. Also, (b-7) = 1.9(c-7), so b = 1.9c - 6.3. Substituting c: b = 1.9(4a-21) - 6.3 = 7.6a - 46.2. Solving a + (7.6a-46.2) + (4a-21) = 84 gives 12.6a = 151.2, so a = 12. Then c = 27, b = 45. After 8 years, C's age = 35. Required percentage = (35/12) × 100 = 291.67%.

Multiple choice

The ratio of ages of the Sahrukh and Geeta was 5: 4 when their son was 2 years of age. The ratio of ages of the Sahrukh and Geeta will be 7:6 when the son will be twice of his given age. What is the ratio of present ages of Sahrukh and Geeta? साहरुख और गीता की आयु का अनुपात 5 : 4 था जब उनका बेटा 2 वर्ष का था। साहरुख और गीता की आयु का अनुपात 7: 6 हो गया, जब बेटा दी गई आयु से दोगुना हो गया। साहरुख और गीता के वर्तमान आयु का अनुपात क्या है?

  1. 3:5

  2. 7:4

  3. 5:4

  4. 7:8
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When son was 2 years old, Sahrukh:Geeta = 5:4. When son is 4 years old (2 years later), Sahrukh:Geeta = 7:6. Both ratios are equivalent (5:4 = 7.5:6, close to 7:6). The question asks for present ratio. If 'present' means when son is 2 years old, ratio is 5:4. The answer C matches the initial ratio given.

Multiple choice

The ratio of the present age of P and Q is 2: 3. The ratio of their age after 18 years will be 4: 5. What is the present age of Q? P और Q के वर्तमान आयु का अनुपात 2: 3 है, और 18 वर्ष बाद उनकी आयु का अनुपात 4: 5 है। तो Q की वर्तमान आयु क्या है?

  1. 25 years/ वर्ष

  2. 24 years/ वर्ष

  3. 27 years/ वर्ष

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

Let present ages be 2x and 3x. After 18 years: (2x+18)/(3x+18) = 4/5. Cross-multiply: 5(2x+18) = 4(3x+18), giving 10x+90 = 12x+72, so 2x = 18 and x = 9. Q's present age = 3x = 27 years. Option A (25) and B (24) don't satisfy the ratio. Option D (30) would make the future ratio 48:48 = 1:1, not 4:5.

Multiple choice

The present ratio between the age of A and B is 3 : 4. After four years, B will elder than A by 5 years. What is the present age of A? A और B की वर्तमान आयु में अनुपात 3 : 4 है | चार वर्ष बाद, B, A से 5 वर्ष बड़ा होगा | A की वर्तमान आयु क्या है ?

  1. 15 years/वर्ष

  2. 18 years/वर्ष

  3. 20 years/वर्ष

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

Let A's age = 3x, B's age = 4x. After 4 years: (4x+4) - (3x+4) = 5, so x = 5. Therefore A = 15 years, B = 20 years. Check: Present ratio is 15:20 = 3:4. After 4 years, A = 19, B = 24, and 24-19 = 5. This satisfies both conditions. A is currently 15 years old.