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

Passage

Directions : In this problem, a question is given followed by two statements numbered I and II. Read the statements and determine which of them is/are sufficient/necessary to answer the question. Choose the correct option accordingly. Mark your answer as (a) if the question can be answered by using statement I alone, but cannot be answered by using statement II alone (b) if the question can be answered by using statement II alone, but cannot be answered by using statement I alone (c) if both statements I and II together are necessary to answer the question (d) if the question can be answered by using either of the two statements alone (e) if both the statements together are not sufficient to answer the question

Find the present ages of A and B, if the present age of B is 20% of A. I. After 5 years, the respective ratio of ages of A and B will be 15 : 4. II. Five years ago, the respective ratio of ages of A and B was 25 : 3.

  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let A = 5x and B = x. Statement I: (5x+5)/(x+5) = 15/4 leads to 20x + 20 = 15x + 75, so 5x = 55, x = 11. Statement II: (5x-5)/(x-5) = 25/3 leads to 15x - 15 = 25x - 125, so 10x = 110, x = 11. Both statements independently allow solving for the ages.

Multiple choice

Passage

Directions : In this problem, a question is given followed by two statements numbered I and II. Read the statements and determine which of them is/are sufficient/necessary to answer the question. Choose the correct option accordingly. Mark your answer as (a) if the question can be answered by using statement I alone, but cannot be answered by using statement II alone (b) if the question can be answered by using statement II alone, but cannot be answered by using statement I alone (c) if both statements I and II together are necessary to answer the question (d) if the question can be answered by using either of the two statements alone (e) if both the statements together are not sufficient to answer the question

Find the present ages of Priya and Tina. I. The respective ratio of the ages of Priya and Tina after 2 years will be 10 : 11. II. The difference between their present ages is 2 years.

  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I gives (P+2)/(T+2) = 10/11. Statement II gives |P-T| = 2. Together, these two linear equations in two variables allow solving for P and T.

Multiple choice

Passage

Directions: The question below is followed by three statements labelled I, II and III. You have to consider the information in all the three statements and decide which of the statements is/are necessary to answer the question. Indicate your answer accordingly.

What is Suchitra's present age? I. Suchitra's present age is double the age of her son. II. Ratio of the present ages of Suchitra and her mother is 2 : 3. III. Four years hence, the ratio of Suchitra's age to that of her son will be 24 : 13.

  1. Both I and III

  2. Both I and II

  3. All I, II and III

  4. Only II or III

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

Let S be Suchitra's age and s be her son's age. Statement I gives S = 2s. Statement III gives (S+4)/(s+4) = 24/13. With two variables and two independent equations, we can solve for S. Statement II is irrelevant as it introduces a third person (mother) without linking to the son.

Multiple choice

Passage

Directions: In the following problem, you have to find out which of the given statements is/are necessary for determining the answer of the question asked.

The ratio of the present age of son and that of his father is 1 : 3. Find the present age of the father. I. The difference between the present ages of the mother and her son is 22 years. II. The difference between the present ages of the father and his son is 26 years. III. The present age of the mother is 4 years less than thrice the present age of her son.

  1. Either II or I and III together

  2. All I, II and III

  3. Only I and II

  4. None of the three statements

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

Ratio S:F = 1:3. Let S=x, F=3x. We need x. II: F-S = 26 => 3x-x = 26 => 2x=26 => x=13. So II is sufficient. III: M = 3x-4. I: M-S = 22 => (3x-4)-x = 22 => 2x=26 => x=13. So I and III together are sufficient.

Multiple choice

Passage

Directions : The following question is accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statement(s) is/are sufficient/necessary to answer the question.

What will be the difference of the ages of Kuldeep and Krishana after 15 years? A. Krishana's present age is three times of Kuldeep's present age. B. After 8 years, the ratio of Krishana's age and Kuldeep's age will become 3 : 5. C. The difference between Krishana's age and Kuldeep's age was equal to two times of Kuldeep's present age.

  1. Any one pair out of A and B, B and C

  2. B and C together

  3. C and A together

  4. Any one pair out of A and B, B and C, C and A

  5. A, B and C together
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Passage

Each of these questions consists of a question followed by informations in three statements. You have to study the question and the statements and decide that information in which of the statement(s) is/are necessary to answer the question.

What is the present age of father? I. The ratio between the son's age after 5 years and father's age 10 years ago is 1:2. II. Difference of age of father and son is 25 years. III. Ratio of age of father, mother and son is 6:5:1.

  1. I and II together

  2. II and III together

  3. All three together

  4. All together are not sufficient

  5. Any two are sufficient
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let current ages be son = s, father = f, mother = m. Statement I: (s+5)/(f-10) = 1/2 → 2s + 10 = f - 10 → f = 2s + 20. Statement II: f - s = 25 → f = s + 25. From I and II: s + 25 = 2s + 20 → s = 5, f = 30. Statement III: f:m:s = 6:5:1. With s = 5 from I and II, f = 30, m = 25 (consistent with 6:5:1). II and III together: f = 6s, m = 5s from ratio, and f - s = 25 → 6s - s = 25 → s = 5, f = 30. I and III together: f = 2s + 20 and f = 6s → 6s = 2s + 20 → s = 5, f = 30. Any two statements are sufficient.

Multiple choice

Passage

Each of these questions consists of a question followed by informations in three statements. You have to study the question and the statements and decide that information in which of the statement(s) is/are necessary to answer the question.

What is the present age of A? Statement I. At the time of marrige A's age was 25 years. Statement II. The average age of A and A’s wife at the time of marrige was 24 years. Statement III. The difference between the present ages of A and his son is 24 years.

  1. The data in statements I alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question.

  2. The data in statements II alone is sufficient to answer the question, while the data in statement I and III is not sufficient to answer the question.

  3. The data in any two of the three statements is sufficient to answer the question.

  4. The data in all the statements I, II and III is not sufficient to answer the question.

  5. The data in all the statements I, II and III together is necessary to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives A's age at marriage (25 years), but not how many years have passed since then. Statement II gives the average age at marriage (24 years), which only confirms the wife's age was 23. Statement III relates A's present age to his son's age, but we don't know the son's age or when A married. Without information about years elapsed since marriage or the son's age, A's present age cannot be determined.

Multiple choice

Passage

In each of the following questions is followed by three statements study the question and the statements and decide the information given in which of the statement(s) is/are necessary to answer the question ?

What is Neelu’s present age ? I. Neelu’s present age is 2/7 of her mother’s age. II. Neelu’s mother's age will be thrice Neha’s age after 5 years. III. Neha’s seventeenth birthday was celebrated three years before.

  1. Only I and II

  2. Only II and III

  3. Only I and III

  4. All statements are not sufficient

  5. All I,II and III
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

III: Neha is 17-3=14 years old now. II: After 5 years, Neelu's mother = 3 × Neha's age = 3×(14+5) = 57. So mother's current age = 57-5 = 52. I: Neelu = (2/7) × 52 = 104/7 ≈ 14.86 years. All three statements are needed and sufficient.

Multiple choice

Passage

Read the following information carefully to answer the questions asked- There are three persons in a family A, B and C. A's age is 3 years more than B's age. B's age is 4 times of C's age. They have celebrated their birthday in the different ratio A's birthday celebration is 500% of C’s birthday celebration and B's birthday celebration is 0.7 times of A's birthday celebration. Note-This is not necessary that every year birthday is celebrated by A, B and C.

Ratio of age of C and D is in the ratio of 2:5 and E and D in the ratio of 4:5. If E age is 6 years more than C. Then find the age of E?

  1. 12

  2. 18

  3. 9

  4. 15

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

Given C:D = 2:5 and E:D = 4:5, so C:D:E = 2:5:4. Let common ratio be x, so C=2x, D=5x, E=4x. Given E is 6 years more than C: 4x = 2x + 6, so 2x = 6, x = 3. Therefore E = 4 × 3 = 12 years. Option A (12) is correct.

Multiple choice

Passage

Read the following information carefully to answer the questions asked- There are three persons in a family A, B and C. A's age is 3 years more than B's age. B's age is 4 times of C's age. They have celebrated their birthday in the different ratio A's birthday celebration is 500% of C’s birthday celebration and B's birthday celebration is 0.7 times of A's birthday celebration. Note-This is not necessary that every year birthday is celebrated by A, B and C.

3years ago difference between the average age of A, B and F with the average age of C, D and F was 10 years. Then find the ratio between the age of F and D.

  1. 1:5

  2. 2:5

  3. 1:1

  4. 8:5

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

3 years ago, average of (A, B, F) minus average of (C, D, F) = 10. This gives (A+B+F)/3 - (C+D+F)/3 = 10, or (A+B-C-D)/3 = 10, so A+B-C-D = 30. Without additional information about individual ages or relationships, we cannot determine the specific ratio of F:D. The question is under-specified.

Multiple choice

Passage

In each of the following questions, a question & then two statements – I & II are given. You have to determine that the data provided in these statements is enough to answer the question or not. Study both the statement: निम्नलिखित प्रत्येक प्रश्न में एक प्रश्न और फिर दो कथन I और II दिए गए हैं। आपको यह निर्धारित करना है कि इन कथनों में प्रदान किया गया डेटा प्रश्न का उत्तर देने के लिए पर्याप्त है या नहीं। दोनों कथनों का अध्ययन करें:

What is Ram’s present age? राम की वर्तमान आयु क्या है? Statement I – Ratio of Ram’s age and his mother’s age is 2:3. Difference of his mother and son’s age is 60 years. Statement II – After 4 year Ratio of Ram’s and his son’s age will be 24:13. Ram’s present age is double of his son’s age. कथन I - राम की आयु और उसकी माता की आयु का अनुपात 2:3 है। उसकी माता और पुत्र की आयु का अंतर 60 वर्ष है। कथन II - 4 वर्ष बाद राम और उसके पुत्र की आयु का अनुपात 24:13 होगा। राम की वर्तमान आयु उसके पुत्र की आयु की दोगुनी है।

  1. Only Statement I alone. केवल कथन I

  2. Only Statement II alone. केवल कथन II

  3. Both Statements I and II together. दोनों कथन I और II एक साथ

  4. Neither Statement I nor II is sufficient. न तो कथन I और न ही II पर्याप्त है।

  5. Either Statement I or II. या तो कथन I या II
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement I: Ram:Mother = 2:3, Mother-Son = 60. Let Ram=2x, Mother=3x, Son=y. Then 3x-y=60 → y=3x-60. Need another equation - insufficient. Statement II: Ram=2×Son (given directly), and (Ram+4):(Son+4)=24:13. If Son=x, Ram=2x. Then (2x+4):(x+4)=24:13. Solving: 13(2x+4)=24(x+4) → 26x+52=24x+96 → 2x=44 → x=22. Ram=44. Statement II alone is sufficient.

Multiple choice

Passage

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. निम्नलिखित प्रत्येक प्रश्न में दिए गए कथन को पढ़िए और उसके आधार पर मात्रा I और मात्रा II की तुलना कीजिए।

The ratio of ages of Husband and Wife 10 years from now will be 6:5 and the ratio of the ages of husband and wife was 9:7, 5 years ago अब से 10 वर्ष बाद पति और पत्नी की आयु का अनुपात 6:5 होगा और 5 वर्ष पहले पति और पत्नी की आयु का अनुपात 9:7 था, Quantity I: Age of Husband 5 years ago. Quantity II: Age of wife years 4 from now. मात्रा I: पति की आयु 5 वर्ष पहले। मात्रा II: पत्नी की आयु अब से 4 वर्ष।

  1. Quantity: I > Quantity: II मात्रा: I > मात्रा: II

  2. Quantity: I ≥ Quantity: II मात्रा: I ≥ मात्रा: II

  3. Quantity: I < Quantity: II मात्रा: I < मात्रा: II

  4. Quantity: II ≥ Quantity: I मात्रा: II ≥ मात्रा: I

  5. Quantity I = Quantity II or relation can't be established मात्रा I = मात्रा II या संबंध स्थापित नहीं किया जा सकता
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let current ages be H (husband) and W (wife). From the ratios: (H+10)/(W+10) = 6/5 gives 5H+50=6W+60 or 5H−6W=10. From (H−5)/(W−5) = 9/7 gives 7H−35=9W−45 or 7H−9W=−10. Solving: Multiply first by 7: 35H−42W=70. Multiply second by 5: 35H−45W=−50. Subtracting: 3W=120, W=40. Then H = (6×40+10)/5 = 50. Quantity I (husband 5 years ago) = 50−5=45. Quantity II (wife 4 years from now) = 40+4=44. 45>44, so Quantity I > Quantity II.

Multiple choice

Passage

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. निम्नलिखित प्रत्येक प्रश्न में दिए गए कथन को पढ़िए और उसके आधार पर मात्रा I और मात्रा II की तुलना कीजिए।

Quantity I: Average of 7 consecutive odd numbers is 37 find the second lowest. Quantity II: The ratio between the present ages of A and B is 2:3. 4 years ago the ratio between their ages was 5:8. What will be A’s age after 7 years? मात्रा I: 7 क्रमागत विषम संख्याओं का औसत 43 है। दूसरी सबसे छोटी संख्या है। मात्रा II: A और B की वर्तमान आयु के बीच अनुपात 2: 3 है। 4 वर्ष पहले उनकी उम्र के बीच अनुपात 5: 8 था। 7 वर्ष के बाद A की उम्र क्या होगी?

  1. Quantity: I > Quantity: II मात्रा I > मात्रा II

  2. Quantity: I ≥ Quantity: II मात्रा I ≥ मात्रा II

  3. Quantity: I < Quantity: II मात्रा I < मात्रा II

  4. Quantity: II ≥ Quantity: I मात्रा II ≥ मात्रा I

  5. Quantity I = Quantity II or relation can't be established मात्रा I = मात्रा II या संबंध स्थापित नहीं किया जा सकता
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: For 7 consecutive odd numbers with average 37, the middle (4th) number is 37. The 7 numbers are: 31, 33, 35, 37, 39, 41, 43. Second lowest is 33. Note: Question says average is 37, but then states 43 in Hindi text - both values give same second lowest of 33. Quantity II: Let present ages be 2x and 3x. Four years ago: (2x-4)/(3x-4) = 5/8. Solving: 8(2x-4) = 5(3x-4); 16x-32 = 15x-20; x=12. A's present age = 24. After 7 years = 31. Therefore Quantity I (33) > Quantity II (31).

Multiple choice

Passage

Each of these questions consists of a question followed by information in three statements. You have to study the question and the statements and decide that information in which of the statement(s) is/are necessary to answer the question. नीचे प्रत्येक प्रश्न में, एक प्रश्न और उसके बाद तीन कथनों में जानकारी दी गई है। आप प्रश्नो और कथनों का अध्ययन कीजिए और यह तय कीजिये कि कौन सा/से कथनों में दी गई जानकारी प्रश्न का उत्तर देने के लिए आवश्यक है/हैं।

What is the present age of Rahul? I. At the time of marrige Rahul's age was 25 years. II. The average age of Rahul and Rahul's wife at the time of marrige was 24 years. III. The difference between the present ages of Rahul and his son is 24 years.

  1. All I, II and III

  2. II alone and I and III together

  3. I and II together

  4. II and III alone

  5. Even all I, II, and III are not sufficient
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I: Rahul's marriage age = 25. Statement II: Average age at marriage = 24, so wife was 23 (since 25 + w = 48, w = 23). But we don't know HOW MANY YEARS AGO they married. Statement III: Present age difference with son = 24. Without knowing when Rahul married or son's birth, we cannot find Rahul's present age. Data is insufficient.

Multiple choice

Passage

Each of these questions consists of a question followed by information in three statements. You have to study the question and the statements and decide that information in which of the statement(s) is/are necessary to answer the question. नीचे प्रत्येक प्रश्न में, एक प्रश्न और उसके बाद तीन कथनों में जानकारी दी गई है। आप प्रश्नो और कथनों का अध्ययन कीजिए और यह तय कीजिये कि कौन सा/से कथनों में दी गई जानकारी प्रश्न का उत्तर देने के लिए आवश्यक है/हैं।

Find the present age of Shiva- शिवा की वर्तमान आयु ज्ञात कीजिये - Statement I: Shiva is youngest among 3 brothers. Statement II: Five years ago of Shiva was half of eldest brother Ram. Statement III: 5 years hence difference of Ram and Shyam will be 5 years. Shyam is 3 years elder to Shiva. कथन I: शिवा तीन भाइयों में सबसे छोटा है। कथन II: पाँच वर्ष पूर्व शिव की आयु सबसे बड़े भाई राम की आयु की आधी थी। कथन III: पाँच वर्ष पश्चात राम तथा श्याम किन आयु का अन्तर 5 वर्ष होगा श्याम शिव से 3 वर्ष बड़ा है।

  1. All three together are sufficient सभी तीनों एक साथ पर्याप्त हैं

  2. II and III alone are sufficient II तथा III अकेले पर्याप्त हैं

  3. I and III alone are sufficient I तथा III अकेले पर्याप्त हैं

  4. None of these इनमें से कोई नहीं

  5. Any two are sufficient कोई भी दो पर्याप्त हैं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Shiva's age = S, Ram = R, Shyam = Sh. Statement III: Sh = S + 3 and (R+5) - (Sh+5) = 5, so R - Sh = 5 → R - (S+3) = 5 → R = S + 8. Statement II: (S-5) = (R-5)/2 → 2S - 10 = R - 5 → 2S - 5 = S + 8 → S = 13. Statements II and III are sufficient.