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 average age of Abhay, his wife and their child 6 years ago was 42 years and that of his wife and their child 8 years ago was 30 years. Find the present age of Abhay.

  1. 68 years

  2. 63 years

  3. 64 years

  4. 66 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

6 years ago, average age of Abhay, wife, and child was 42, so their total age was 42 × 3 = 126. Their present total age is 126 + 18 = 144. 8 years ago, average age of wife and child was 30, so their total age was 30 × 2 = 60. Their present total age is 60 + 16 = 76. Abhay's present age = 144 - 76 = 68 years. Option B (63) incorrectly subtracts 5 years, option C (64) uses wrong base, and option D (66) miscalculates the difference.

Multiple choice

The ratio of the present ages of A and B is 7 : 5. After seven years, ratio of their ages will be 21 : 16. C is five years older than A. What will be age of C after five years? A और B की वर्तमान आयु का अनुपात 7:5 है। सात वर्ष बाद, उनकी आयु का अनुपात 21:16 होगा। C, A से पांच वर्ष बड़ा है। पांच वर्ष बाद C की आयु क्या होगी?

  1. 37 years 37 वर्ष

  2. 43 years 43 वर्ष

  3. 38 years 38 वर्ष

  4. 40 years 40 वर्ष

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

Let A's age=7x, B's age=5x. After 7 years: (7x+7)/(5x+7)=21/16. Solving: 112x+112=105x+147, so 7x=35, x=5. A is 35, B is 25. C is 5 years older than A, so C is 40. After 5 years, C will be 45. None of the given options (37, 43, 38, 40) equal 45, so E is correct. Options A, C, and D don't account for the 5-year forward projection correctly.

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? What is the difference between the present age of Radha and Preeti? (I) 6 years ago, the ratio between age of Preeti and Radha was 4:1. (II) The ratio between the present age of Radha and Preeti is 2:5.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let Radha's present age=R, Preeti's present age=P. From I: (P-6)/(R-6)=4/1, so P-6=4(R-6), P=4R-18. From II: R/P=2/5, so 5R=2P, P=2.5R. Combining: 2.5R=4R-18, 1.5R=18, R=12, P=30. Difference=30-12=18. Both statements together are necessary.

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What is the difference between the ages of Samir and Aseem. I. The ratio of their age 7 : 9. II. 5 year hence the sum of their ages will be 58 years.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Both statements together are sufficient, but neither alone is sufficient. Statement I gives the ratio of ages as 7:9, which alone is insufficient because we only know their relative ages, not actual values. Statement II gives that 5 years hence, their ages sum to 58, which alone is insufficient because we have one equation with two unknowns. Together: Let current ages be 7x and 9x. Then (7x+5)+(9x+5)=58, giving 16x+10=58, so 16x=48, x=3. Current ages are 21 and 27. The difference is 27-21=6 years. This is a classic age problem where ratio plus sum of ages (at same point in time) gives complete information.

Multiple choice

The question given below contain two statements giving certain data. You have to decide What is mother's present age? I. Father's age is 8 years more than mother's age. Father was got married at the age of 28 years. II. Father's age is 30 years. 4 years ago, the ratio of ages of mother and father was 12 : 13.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement II gives father's current age as 30 and tells us that 4 years ago, the ratio of mother's age to father's age was 12:13. Four years ago, father was 26, so mother was (12/13) × 26 = 24. Therefore, mother's present age is 28. Statement I only provides relationships (father is 8 years older than mother, and married at 28) without giving any current age, making it impossible to determine mother's present age.

Multiple choice

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? What will Naimish's age after 8 years? (I) The ratio between Naimish and Alok's present age is 2 : 3 respectively. (II) Alok is six years older than Naimish.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient

  5. If both statement together are sufficient,
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Neither statement alone is sufficient. Statement I only gives a ratio (2:3), and Statement II only gives an age difference (6 years). However, combining both statements: if Naimish = 2x and Alok = 3x from the ratio, and Alok = Naimish + 6, then 3x = 2x + 6, giving x = 6, so Naimish is 12 years old now and will be 20 after 8 years.

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question. What is the difference between present ages of Shashi and Ranu ? (i) The ratio of the present age of Ranu to that of Shashi six years ago is 4 : 1. (ii) The ratio of the present age of Shashi and Ranu is 2 : 5.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I gives ratio of Ranu's present age to Shashi's age six years ago as 4:1, which is insufficient alone as we have one equation with two unknowns. Statement II gives present age ratio of Shashi:Ranu as 2:5, also insufficient alone. Together, let Shashi's present age = 2x, Ranu's present age = 5x. From I: 5x/(2x-6) = 4/1. Solving: 5x = 8x-24, so 3x = 24, x = 8. Shashi = 16, Ranu = 40. Difference = 24. Both statements together are necessary and sufficient.

Multiple choice

The sum of the age of 4 members of a family 5 years ago was 94 years. Today when the daughter has been married off and replaced by a daughter-in-law, the sum of their age is 92. Assuming that there has been no other change in the family structure and all the people are alive, what is the difference in the age of the daughter and daughter-in-law? एक परिवार के चार सदस्यों की 5 वर्ष पहले औसत आयु 94 वर्ष थी | आज जब बेटी की शादी हो चुकी है और उसके स्थान पर पुत्रवधू आ जाती है, उनकी आयु का योग 92 वर्ष है | यह मानकर कि परिवार के ढाँचे में दूसरा कोई बदलाव नहीं हुआ है और सभी व्यक्ति जीवित हैं, बेटी की आयु और पुत्रवधू की आयु में क्या अन्तर है ?

  1. 15 years/वर्ष

  2. 19 years/वर्ष

  3. 22 years/वर्ष

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

Let the original family members be A, B, C, D (daughter). 5 years ago: sum was 94. Today (after 5 years): their sum would be 94 + 4×5 = 114. But daughter is replaced by daughter-in-law, and new sum is 92. Age difference = (sum with daughter) - (sum with daughter-in-law) = 114 - 92 = 22. This is the difference between daughter's age and daughter-in-law's age today.

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? What is the age of Vipin? (I) The ratio of ages of Vipin and Ranjit is 1 : 5 (II) After 7 years the ratio will be 3 : 8

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Option E is correct because both statements together are needed. From (I): Vipin's age : Ranjit's age = 1 : 5, so V = R/5. From (II): After 7 years, ratio is 3 : 8, so (V+7)/(R+7) = 3/8. Substituting V = R/5 gives (R/5 + 7)/(R + 7) = 3/8. Solving: 8(R/5 + 7) = 3(R + 7), so 8R/5 + 56 = 3R + 21. This gives R = 35, then V = 7. Neither statement alone gives absolute ages - ratios need a reference point.

Multiple choice

The question given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question. Mark answer- Find the age of father? (I) Ratio of ages of father and mother is 6:5. (II) Ratio of ages of father and son is 4:1 and mother age is 30.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together is sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Both statements together are sufficient. From Statement I: father:mother = 6:5. From Statement II: father:son = 4:1 and mother = 30 years. Using mother's age with ratio 6:5, father = (6/5)×30 = 36 years. Neither statement alone gives father's age - Statement I lacks actual values, Statement II needs Statement I's ratio to find father from mother's age.

Multiple choice

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Mark answer - What is Rita's age ? I. Rita is 5 years older than Namita II. Rita's age is 15 years which is 1/5 of her mother's age.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement II alone is sufficient because it directly states Rita's age is 15 years. Statement I alone is insufficient because knowing Rita is 5 years older than Namita doesn't help without knowing Namita's age. Therefore, the correct answer is B (Statement II alone is sufficient).

Multiple choice

Directions : In each of the following questions, a question is followed by two statements numbered I and II. Read both the statements and answer accordingly. 5 years ago Surendra’s age was 20% of the average of present age of Ramnaresh’s parents. What is the average of Ramnaresh’s age and Surendra’s age? I. Ramnaresh’s mother told her son Ramnaresh that his age four years ago was 75% of Ramnaresh’s father’s age and 80% of Surendra’s father’s age. II. 10 years ago the average age of Surendra’s parents was 44 years and Surendra’s mother’s current age was 76% of her husband’s age.

  1. Only I

  2. Only II

  3. Either I or II

  4. Neither I nor II

  5. Both I and II
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The question involves multiple people and relationships across families. Neither statement alone gives complete information about Ramnaresh's and Surendra's ages. Even combined, the statements don't provide enough unique equations to solve for the required average.

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What will be Alok's age after 4 years? (I) The ratio between Alok's and Vipul's present age is 2 : 3 respectively. (II) Vipul is six years older than Alok.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I gives Alok:Vipul = 2:3, so Alok = (2/3)Vipul. Statement II gives Vipul = Alok + 6. Neither alone is sufficient - I needs Vipul's age, II needs a relationship. Together: Substitute II in I: Alok = (2/3)(Alok+6), so 3Alok = 2Alok + 12, giving Alok = 12. After 4 years = 16. Both needed, so option E is correct.

Multiple choice

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What will be Praveen's age after 4 years? I. The ratio between the present ages of Praveen and Shekhar is 2 : 3 respectively. II. Shekhar is 6 years older than Praveen.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I: Praveen:Shekhar = 2:3. Let ages be 2x and 3x. Need one more equation to find x. Statement II: Shekhar = Praveen + 6. This gives 3x = 2x + 6, so x = 6. Praveen's present age = 2 × 6 = 12. After 4 years = 16. Neither statement alone is sufficient, but together they are sufficient.

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? What is mother's present age? (I) The ratio between the ages of mother and daughter is 5 : 1. (II) After 4 years, the ratio between the ages of mother and daughter is 17 : 5 respectively.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I gives mother:daughter = 5:1, so M = 5D. Statement II gives (M+4):(D+4) = 17:5, so 5(M+4) = 17(D+4). Neither statement alone gives actual ages. Using both: substitute M = 5D into equation to get 5(5D+4) = 17(D+4), which solves to D = 6 and M = 30. Both statements together are necessary and sufficient.