Problems on Ages Questions

Multiple choice
  1. All the three statements together

  2. Only statement III

  3. Only statements II and III together

  4. Only statements I and III together

  5. Only statements I and II together

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let T = Tushar's current age, W = wife's age, S = son's age, D = daughter's age. From statement I: W = T - 7 and W = 2S, so T - 7 = 2S or T = 2S + 7. From statement II: (D+3)/(S+3) = 6/5, so 5(D+3) = 6(S+3) or 5D + 15 = 6S + 18 or 5D = 6S + 3. We need one more equation to solve for four unknowns, but statements I and II give us relationships between T, S, and D. The question asks for daughter's age, and we have D in terms of S from statement II. Statement III gives T+2 = (S+2)+(D+2)-1 which is consistent but not needed. Statements I and II are sufficient.

Multiple choice
  1. Quantity I < Quantity II

  2. Quantity I > Quantity II

  3. Quantity I ≤ Quantity II

  4. Quantity I ≥ Quantity II

  5. Quantity I = Quantity II or relationship cannot be established

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity I: Total age = 108. Let ages be W, X, Y, Z. (W+2)/(X+4) = 9/7, (Y-4)/(Z-6) = 3/2, X = Z+2. This gives 7W+14 = 9X+36 and 2Y-8 = 3Z-18. With W+X+Y+Z = 108 and X = Z+2, we have 4 equations with 4 unknowns, but solving gives inconsistent results for Y. Quantity II: Total age = 150. Multiple constraints also give indeterminate values for E. Both quantities cannot be uniquely determined from given information.

Multiple choice
  1. Statement I is sufficient to answer the question. कथन I प्रश्न का उत्तर देने के लिए पर्याप्त है।

  2. Statement II is sufficient to answer the question. कथन II प्रश्न का उत्तर देने के लिए पर्याप्त है।

  3. Either Statement I or statement II is sufficient to answer the question. या तो कथन I या कथन II प्रश्न का उत्तर देने के लिए पर्याप्त है।

  4. Neither Statement I nor statement II is sufficient to answer the question. प्रश्न का उत्तर देने के लिए न तो कथन I और न ही कथन II पर्याप्त है।

  5. Neither Statement I nor statement II is sufficient to answer the question. प्रश्न के उत्तर के लिए कथन I और II दोनों आवश्यक हैं|

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement II alone is sufficient: From (A+B+C)/3 = 11 (5 years ago), sum = 33. After 8 years (5+3), (B+C)/2 = 18, so B+C = 36. Then A = 33-36+15 = 12 (accounting for 8 years). Current age of A = 12+5 = 17 years. Statement I has too many variables.

Multiple choice
  1. 57 years 57 वर्ष

  2. 62 years 62 वर्ष

  3. 67 years 67 वर्ष

  4. 72 years 72 वर्ष

  5. 77 years 77 वर्ष

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let present ages be a (oldest), b, c, d (youngest). 5 years ago average was 40, so total was 160. Present total = 160 + 20 = 180. From ratios: d = (7/18)a, and c = (3/7)b. Given d = b - 40 (youngest is 40 years younger than second oldest). So b - 40 = (7/18)a. Also a + b + (3/7)b + (7/18)a = 180. Solving: a(25/18) + b(10/7) = 180. From b - 40 = (7/18)a, we get b = (7/18)a + 40. Substituting and solving gives a = 67 years.

Multiple choice
  1. Only I केवल I

  2. Only II केवल II

  3. Either I or II I अथवा II

  4. Both together दोनों एक साथ पर्याप्त हैं

  5. Both together are not sufficient दोनों एक साथ भी पर्याप्त नहीं हैं

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I: Father's age = 30. Let mother's age = m. 4 years ago: (m-4):(30-4) = 12:13, so (m-4)/26 = 12/13, giving m-4 = 24, hence m = 28. I is sufficient. Statement II: Father = mother + 8, marriage age = 28. This gives relationships but no concrete values to determine current ages. II is insufficient.

Multiple choice

In the following question, a given questions is followed by information in three statements. You have to find out the data in which statement (s) is sufficient to answer the question and mark your answer accordingly. निम्नलिखित प्रश्न में, दिए गए प्रश्नों के बाद तीन कथनों में जानकारी दी गई है। आपको यह पता लगाना है कि कौन सा कथन प्रश्न का उत्तर देने के लिए पर्याप्त है और तदनुसार अपना उत्तर चिह्नित करें। The ratio between the present ages of the son and his father is 1: 3. Find the present age of the father. पुत्र और उसके पिता की वर्तमान आयु के बीच का अनुपात 1: 3 है। पिता की वर्तमान आयु ज्ञात कीजिए। Statement I: Difference between the present ages of the mother and her son is 22 years. Statement II: Difference between the present ages of the father and his son is 26 years. Statement III: The present age of mother is 4 years less than thrice the present age of her son. कथन I: मां और उसके बेटे की वर्तमान आयु में 22 वर्ष का अंतर है। कथन II: पिता और उसके पुत्र की वर्तमान आयु के बीच 26 वर्ष का अंतर है। कथन III: माँ की वर्तमान आयु उसके पुत्र की वर्तमान आयु के तीन गुने से 4 वर्ष कम है।

  1. Only I and III together केवल I और III एक साथ

  2. Either II alone or I and III together या तो II या I और III एक साथ

  3. Any two of them उनमें से कोई दो

  4. All statements are required सभी कथनों की आवश्यकता है

  5. Question can’t be answered even after using all the statements. सभी कथनों का उपयोग करने के बाद भी प्रश्न का उत्तर नहीं दिया जा सकता है।

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Son:Father ratio 1:3, let ages be x,3x. II alone: Difference is 26, so 3x-x = 26, 2x = 26, x = 13. Father = 39. I+III: Son-Mother diff is 22, Mother = 3s-4. From s-m=22: s-(3s-4) = 22, -2s+4 = 22, s = -9. Then mother = -31 (impossible ages). This invalidates I+III.

Multiple choice
  1. Only I and III together केवल I और III एक साथ

  2. Either II alone or I and III together या तो II या I और III एक साथ

  3. Any two of them उनमें से कोई दो

  4. All statements are required सभी कथनों की आवश्यकता है

  5. Question can’t be answered even after using all the statements. सभी कथनों का उपयोग करने के बाद भी प्रश्न का उत्तर नहीं दिया जा सकता है।

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given ratio S:F = 1:3. Statement II: F - S = 26. Let S = x, F = 3x. Then 3x - x = 26, so 2x = 26, x = 13, F = 39. Statement II alone is sufficient. Statements I and III together also work: Let S = x. From ratio, F = 3x. From I: M - S = 22, so M = x + 22. From III: M = 3x - 4. Solving gives x = 13.

Multiple choice
  1. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

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

  3. The data either in statement I alone or in statement II alone is sufficient to answer the question

  4. The data given in both statements I and II together are not sufficient to answer the question

  5. The data given in both statements I and II together are necessary to answer the question.

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

From Statement I: Anil:Ritu = 2:5, so Anil = 2x, Ritu = 5x. Current difference = 3x. From Statement II: Anil:(Anil + 5) = 2:3, giving 3×Anil = 2×(Anil + 5), so Anil = 10 years. Then Ritu = 25 years. After 5 years, Anil = 15, Ritu = 30, difference = 15 years. Both statements are necessary.

Multiple choice
  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
D Correct answer
Explanation

Statement I gives Priya's age as 37 - 5 = 32 years. Statement II tells us Shraddha is 6 years older than Ram, and Ram is 24 years older than Ajay. However, we don't know Ajay's age or any direct link between Shraddha and Priya. Without knowing Ajay's actual age or any relationship connecting the two statements, we cannot determine either Shraddha's age or the ratio between Shraddha and Priya's ages. Option D is correct - the statements together are insufficient.

Multiple choice
  1. Any two कोई दो

  2. All सभी

  3. Only I and II केवल I और II

  4. Only I and III केवल I और III

  5. Only II and III केवल II और III

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I gives ratio 2:5. Statement II gives a/(a+5) = 2/3, so 3a = 2a + 10, a = 10 (Anil's age). Statement III gives r/(r+5) = 4/5, so 5r = 4r + 20, r = 20 (Ritu's age). Any two statements are sufficient: I+II gives Ritu's age as 25, I+III gives Anil's age as 10, II+III gives both ages directly. The difference after 5 years is (20+5) - (10+5) = 10 years.

Multiple choice
  1. If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. यदि कथन I में डाटा प्रश्न का उत्तर देने के लिए पर्याप्त है जबकि कथन II में डाटा अकेले प्रश्न का उत्तर देने के लिए पर्याप्त नहीं है।

  2. If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. यदि कथन II में डाटा प्रश्न का उत्तर देने के लिए पर्याप्त है जबकि कथन I में डाटा अकेले प्रश्न का उत्तर देने के लिए पर्याप्त नहीं है।

  3. If the data either in statement I alone or in statement II alone are sufficient to answer the question. यदि या तो कथन I में डाटा अकेले या कथन II में डाटा अकेले प्रश्न का उत्तर देने के लिए पर्याप्त है।

  4. If the data in both statements I and II together are not sufficient to ans

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I only tells us B is 10 and A is younger than B, but not A's exact age. Statement II about F's age is irrelevant to A's age. Even together, they don't provide A's age.

Multiple choice
  1. Only II and III केवल II और III

  2. Only I and II केवल I और II

  3. Only I and III केवल I और III

  4. All सभी

  5. None of these इनमें से कोई नही

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

From I: Five years ago, R = (1/5)F, giving 5(R-5) = F-5 or F - 5R = -20. From II: Two years ago, R + F = 36, giving current sum R + F + 4 = 36 or R + F = 32. Solving I and II: From F + R = 32, F = 32 - R. Substituting: (32 - R) - 5R = -20, giving 32 - 6R = -20 or 6R = 52 or R = 26/3, F = 70/3. Ratio F:R = 70:26 = 35:13. From III: R + M + F = 62, introduces mother's age which is extra information. I and II together are sufficient.

Multiple choice
  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 I Quantity II मात्रा I मात्रा II

  5. Quantity I = Quantity II or no relation. मात्रा I = मात्रा II या कोई संबंध नहीं।

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For Quantity I, let present ages be 5x, 7x, 8x. Seven years ago: (5x-7) + (7x-7) + (8x-7) = 79, which gives 20x = 100, so x = 5. Deepak's present age = 8x = 40 years. For Quantity II, let mother's age be M. Daughter's age = (3/5)M. After 7 years: (3/5)M + 7 = (2/3)(M + 7). Solving gives M = 35 years. Since 40 > 35, Quantity I is greater.

Multiple choice
  1. 44 years 44 वर्ष

  2. 42 years 42 वर्ष

  3. 36 years 36 वर्ष

  4. 40 years 40 वर्ष

  5. None of these इनमें से कोई नहीं

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Kumar's age after 15 years is 33, so his current age is 18. Kriti:Kumar = 4:3, so Kriti = (4/3) × 18 = 24 years. Kriti is 2 years younger than Kapil, so Kapil = 26 years. Kamlesh is 20 years older than Kriti, so Kamlesh = 24 + 20 = 44 years. The solution follows systematically through the age relationships.

Multiple choice
  1. 15

  2. 23

  3. 25

  4. Data Inadequate आंकड़े अपर्याप्त हैं

  5. None of these इनमें से कोई नहीं

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The problem sets up a system where A - 8 = S + D, H = A + 7, and H = 3S + 4, giving D = 2S - 11. The ratio (D+5)/(S+5) = 10/x requires x > 0, meaning D < S. Substituting D < S gives 2S - 11 < S, so S < 11 and D < 11. None of the numerical options (15, 23, 25) satisfy these constraints.