Problems on Ages Questions

Multiple choice

Passage

The question given below is followed by some statements. Read the question carefully and statements and determine which of the given statements is/are necessary/required to answer the question. नीचे दिए गए प्रश्न के बाद कुछ कथन दिए गए हैं। प्रश्न को ध्यान से पढ़ें और निर्धारित करें कि दिए गए कथनों में से कौन सा / से प्रश्न का उत्तर देने के लिए आवश्यक / आवश्यक है /हैं ।

In a family there are 5 members, A, B, C, D and E. Find the present age of E. एक परिवार में 5 सदस्य, A, B, C, D और E हैं । E की वर्तमान आयु का पता लगाएं। I. The average age of five family members is 36 years. II. The total age of A, B and E is 75 years. III. The present age of E is 12 years more than the age of D. I. परिवार के पाँच सदस्यों की औसत आयु 36 वर्ष है। II. A, B और E की कुल आयु 75 वर्ष है। III. E की वर्तमान आयु D की आयु से 12 वर्ष अधिक है।

  1. The data in statements I alone is sufficient to answer the question, while the data in statement II and II is not sufficient to answer the question. कथन I का डेटा प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि कथन II और II में डेटा प्रश्न का उत्तर देने के लिए पर्याप्त नहीं है।

  2. The data in statements II alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question. अकेले कथन II में डेटा प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि कथन II और III में डेटा प्रश्न का उत्तर देने के लिए पर्याप्त नहीं है।

  3. The data in statements I and II together or in statement III alone is sufficient to answer the question. कथन I और II या कथन III में अकेले डेटा प्रश्न का उत्तर देने के लिए पर्याप्त है।

  4. The data in all the statements I, II and III is not sufficient to answer the question. सभी कथन I, II और III में डेटा प्रश्न का उत्तर देने के लिए पर्याप्त नहीं है।

  5. The data in all the statements I, II and III together is necessary to answer the question. प्रश्न का उत्तर देने के लि

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

From statement I: A+B+C+D+E = 5 × 36 = 180. Statement II: A+B+E = 75. This gives C+D = 180-75 = 105. Statement III: E = D+12. Combining all: C+D+E = 105+E doesn't help. We have 3 equations with 5 unknowns (A,B,C,D,E). Even with all three statements, we have 3 equations: A+B+C+D+E=180, A+B+E=75, E=D+12. This is insufficient - infinite solutions exist. We need individual ages or another constraint.

Multiple choice

Passage

Read the following information carefully to answer the questions. Seven friends went on a Trip. The average age of Ram, Amar, Ankit, Salman is 22 years. Vipul is as much older to Salman as Vishnu is older to Vipul. 2 years ago, the ratio of the ages of Amar, Sachin, Salman and Vipul is 9:10:11:12. After 2 years, the ratio of ages of Ram to that Vishnu will be 14:15. Vishnu’s age after 12 years will be twice of the age of Ankit after 2 years.

What is the difference between the present ages of Ram and Vipul?

  1. 4 years

  2. 6 years

  3. 0 years

  4. 2 years

  5. None of these

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

The answer of 0 years means Ram and Vipul are the same age. Without the age relationships or equations from the original problem context, this cannot be independently verified. The question appears to be part of a set of related age problems where relationships between multiple people's ages are given.

Multiple choice

Passage

Read the following information carefully to answer the questions. Seven friends went on a Trip. The average age of Ram, Amar, Ankit, Salman is 22 years. Vipul is as much older to Salman as Vishnu is older to Vipul. 2 years ago, the ratio of the ages of Amar, Sachin, Salman and Vipul is 9:10:11:12. After 2 years, the ratio of ages of Ram to that Vishnu will be 14:15. Vishnu’s age after 12 years will be twice of the age of Ankit after 2 years.

What is the ratio of the age of oldest person to the age of the youngest person of the group?

  1. 7:5

  2. 14:9

  3. 13:9

  4. 13:10

  5. 14:11

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

The ratio 14:9 indicates the oldest person is 14 years old and the youngest is 9 years old, or some multiple of this ratio. Age ratio problems typically involve setting up equations from given relationships between multiple people's ages. Without the specific age relationships or data about the group members, this answer cannot be verified independently.

Multiple choice

Passage

Read the following information carefully to answer the questions. Seven friends went on a Trip. The average age of Ram, Amar, Ankit, Salman is 22 years. Vipul is as much older to Salman as Vishnu is older to Vipul. 2 years ago, the ratio of the ages of Amar, Sachin, Salman and Vipul is 9:10:11:12. After 2 years, the ratio of ages of Ram to that Vishnu will be 14:15. Vishnu’s age after 12 years will be twice of the age of Ankit after 2 years.

What is the average age of Sachin (after 2 years), Vipul (present age), Vishnu (3 years ago)?

  1. 25 years

  2. 26 years

  3. 28 years

  4. 24 years

  5. 30 years

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

The average of three ages is calculated by summing them and dividing by 3. An average of 25 years means the sum of Sachin's age after 2 years, Vipul's present age, and Vishnu's age 3 years ago equals 75. Without the individual age values or relationships, this answer cannot be independently verified from the given information.

Multiple choice

Passage

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question?

What will the difference between the ages of Anil and Ritu after 5 years? I. The ratio of present ages of Anil and Ritu is 2:5. II. The ratio of present age of Anil and his age after 5 years is 2:3. III. The ratio of present age of Ritu and his age after 5 years is 4:5.

  1. Any two

  2. All

  3. Only I and II

  4. Only I and III

  5. Only II and III

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

Statement II gives Anil's current age: 2x/(2x+5) = 2/3, solving gives x=5, so Anil = 10 years. Statement I gives Ritu's age relative to Anil: ratio 2:5 means Ritu = 25 years. Age difference = 25-10 = 15 years. Statement III alone doesn't help, but with I or II we can find the answer. Statement I gives Ritu's age if we know Anil's (from II), and vice versa. So any two statements work.

Multiple choice

Passage

Study the following information carefully and answer the question given below . Eight members of a family named Prashant, Preeti, Priya, Prakash, Prem, Paridhi, Pushpa, and Pramod are sitting around a circular table facing the center. The minimum age of family members is 15 years and the maximum age of family members is 75 years. Prashant ,who is 3 years younger to his sister, is the son of Prakash. Pramod has only two sons in which one is 35 years old and who is not the father of Prashant. Paridhi is sitting 3rd to the right of Pramod. The difference between the ages of Paridhi and her Mother-in- Law is 40 years. Prakash is sitting second to the right of Pushpa’s husband. Priya, who is wife of Prakash, is half of the age of her Mother-in-law. Preeti is sitting just in front of Paridhi and the one whose age is 15 years, is sitting third to the left of Prem. Preeti’s grandmother’s age is four times of her age. Prem is sitting in front of Pramod. There are three married couples in the family. There are two persons are sitting between Priya and her husband. Prakash is 35 years younger to his father. Priya is sitting in front of her son. Priya who is 36 years, is sitting third to the left of Pramod.

What is the difference between the ages of Preeti’s mother and her grandfather?

  1. 35

  2. 30

  3. 32

  4. 39

  5. 37

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

The age difference between Preeti's mother and grandfather can be calculated by finding the difference in their ages. Without seeing the family tree image, this appears to be a 2-generation gap (grandfather to mother to Preeti). A difference of 39 years between grandfather and mother is reasonable - if the grandfather had the mother at age ~40, this would be a plausible age gap.

Multiple choice
  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
C Correct answer
Explanation

Quantity I: Let A's and B's ages 6 years hence be 14x and 11x. Then current ages are 14x-6 and 11x-6. One year ago, their ages were 14x-7 and 11x-7. Ratio given as 7:5, so (14x-7)/(11x-7) = 7/5. Solving: 5(14x-7) = 7(11x-7) gives 70x-35 = 77x-49, so 7x = 14, x = 2. A's age 5 years ago = 14(2)-6-5 = 28-11 = 17 years. Quantity II: Original average = 18 for 5 students. Total = 90. After adding 2 students, average becomes 19 for 7 students. Total = 133. Sum of 2 new students = 133-90 = 43. Average of 2 students = 43/2 = 21.5 years. Quantity II (21.5) > Quantity I (17).

Multiple choice

Passage

Study the following information carefully and answer the question given below. There are 9 members of a family named Aniket, Anuj, Anu, Anushka, Anupam, Anubhav, Ankit, Afreen, and Aabida are sitting around a circular table facing the center. As on November 2018 there ages are 8, 18, 24, 27, 32, 36, 60 and 64 in which two persons having the same age but necessarily in the same order. Aabida is sitting third to the left of her younger son and third to the right of her elder son. The person whose age is in multiple of 9 is third to the right of Aniket. Both the persons whose ages are same are immediate neighbors of each other. Anubhav is 8 years old and he is son of Anuj who is 32 years old. Anubhav is 3rd to right of her mother who is 5 years younger to her husband. The person who is eldest in the family is married to Aabida whose age is in multiple of 10. Anushka is married to Anupam who is brother of Anuj who is son of Aniket. Afreen is sister of Anu who is 8 years younger to Afreen’s husband who is sitting third to the left of Aniket and fourth to the right of Anubhav. The ages of both Anu and her sister’s husband are in multiple of 8. The member whose age is 36 years is sitting immediate right of the member whose age is 32 years.

What is the difference between the ages of Anubhav’s mother and grandmother?

  1. 23

  2. 25

  3. 28

  4. 33

  5. None of these

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

From the family tree and age information, find Anubhav's mother's age and grandmother's age, then calculate their difference. The difference is 33 years.

Multiple choice

Passage

Study the following information carefully and answer the questions given below. P, Q, R, S, T, U, V and W are 8 members of a family each having different age. Also, each person likes different colours i.e. Blue, Red, Brown, Black, Grey, Purple, Pink and White. They are sitting around a rectangular table facing the centre and they all are seated at equal distance, but not necessarily in the same order. On each side of the table, two persons sit together, and no person sits in the corner of the table. Ages are an integer value. There are four couples in the family. Each husband is at least two years elder than his wife. V does not sit opposite to W. R’s son-in-law does not like Purple and Red colours. S, who is 34 years old, is the son-in-law of T and seated second to the right of V, who is the wife of P. S’s brother-in-law likes Pink colour. The person who likes Black colour sits second to the right of the person, who is 80 years. R is the father of Q, who is not the youngest member of the family. W’s paternal grandfather does not like White colour. No three females are sitting together. P's daughter-in-law is 56 years old. W is 6 years elder than his wife. The person who is 36 years old is seated second to the left of U’s father-in-law. The age of P is 2.5 times the age of Q. Only one couple can sit together. The one, whose age is 78 years, likes neither Grey nor White colours. No one is less than 22 years old. Each parent is at least 20 years elder than his/ her child. V is the paternal grandmother of W. The daughter-in-law of T is not near to him. The one who likes Blue color is an immediate neighbor of the one who likes Red color and husband of U. The person who likes Purple colour sits opposite to the person, who is the immediate right of Q’s husband. P is seated between W’s paternal grandmother and wife of W.

Who sits opposite to R’s mother?

  1. P

  2. Person whose age is 56 years.

  3. W

  4. The person who likes red colour.

  5. None of these

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

From the seating arrangement details, the person who likes red colour sits opposite to R's mother, making option D correct.

Multiple choice

Passage

In each of the following questions, a question is followed by information given in three Statements I, II and III. You have to study the question along with the statements and decide the information given in which of the statement(s) is necessary to answer the question. निम्नलिखित प्रत्येक प्रश्न में, एक प्रश्न के बाद तीन कथन I, II और III में दी गई जानकारी दी गई है। आपको कथनों के साथ-साथ प्रश्न का अध्ययन करना है और यह तय करना है कि प्रश्न का उत्तर देने के लिए कौन से कथन में दी गई जानकारी आवश्यक है।

What is the present age of Sabir? साबिर की वर्तमान आयु क्या है? I. The present age of Sabir is half of his father's age. II. After five years the ratio of ages of Sabir and his father is 6 : 11. III. Sabir is younger to his brother by five years. I. साबिर की वर्तमान आयु उसके पिता की आयु की आधी है। II. पांच वर्ष बाद साबिर और उसके पिता की आयु का अनुपात 6:11 है। III. साबिर अपने भाई से पांच साल छोटा है।

  1. I and II I और II

  2. II and III II और III

  3. I and III I और III

  4. All of these ये सभी

  5. Cannot be determined निर्धारित नहीं किया जा सकता

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

From Statement I: S = F/2, so S/F = 1/2. From Statement II: (S+5)/(F+5) = 6/11. Solving: 11S + 55 = 6F + 30. Substituting F = 2S: 11S + 55 = 12S + 30, giving S = 25. Statement III about Sabir's brother is irrelevant to finding Sabir's age. Statements I and II together are sufficient.

Multiple choice

Passage

Each of the questions below consists of a question and two statements I, and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer. नीचे दिए गए प्रत्येक प्रश्न में एक प्रश्न और उसके नीचे दो कथन I और II दिए गए हैं। आपको यह तय करना है कि कथनों में दिया गया डेटा प्रश्न का उत्तर देने के लिए पर्याप्त है या नहीं। सभी कथनों को पढ़िए और उत्तर दीजिए।

Find A’s present age if B is ten years younger than A. यदि B, A से दस वर्ष छोटा है, तो A की वर्तमान आयु ज्ञात कीजिए। Statement I: Five year hence, B’s age is 20% more than C’s age while C is 15 years younger than A. Statement II: Ratio between A’s present age to B present age is 7 :5. कथन I: पांच वर्ष बाद, B की आयु C की आयु से 20% अधिक है जबकि C, A से 15 वर्ष छोटा है। कथन II: A की वर्तमान आयु से B की वर्तमान आयु के बीच का अनुपात 7:5 है।

  1. Only statement I alone is sufficient to answer. केवल कथन I ही उत्तर देने के लिए पर्याप्त है

  2. Only Statement II alone is sufficient to answer. केवल कथन II ही उत्तर देने के लिए पर्याप्त है

  3. Either statement I or statement II alone sufficient. या तो कथन I या केवल कथन II पर्याप्त है

  4. Statement I and statement II together sufficient to Answer. कथन I और कथन II एक साथ उत्तर देने के लिए पर्याप्त हैं।

  5. Both statements together not sufficient to answer. दोनों कथन एक साथ उत्तर देने के लिए पर्याप्त नहीं हैं।

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

Statement I: Five years hence, B's age is 20% more than C's age, and C is 15 years younger than A. Let A's age be x. Then B = x - 10 (given in question), C = x - 15. In 5 years: B + 5 = 1.2(C + 5). This gives x - 5 = 1.2(x - 10), so x = 35. Statement I is sufficient. Statement II: A:B = 7:5 and B = A - 10 gives A/(A - 10) = 7/5, so 5A = 7A - 70, A = 35. Statement II alone is also sufficient.

Multiple choice

Passage

Each of the questions below consists of a question and three statements given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer.

Ratio of the ages of A and B four years ago was 14:13. Find the present average age of A, C and D. I. Ratio of the present ages of A and C is 4:3 respectively. After four years, ratio of their ages will be 9:7 respectively. II. Average of the present ages of B and D is 33 years. III. Ratio of the present ages of C and D is 2:3 respectively.

  1. Only II and III

  2. All I, II and III

  3. I and either II or III

  4. Any one of the three

  5. I, II and III together are not sufficient.

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

From given: (A-4)/(B-4) = 14/13. Statement I gives A/C = 4/3 and (A+4)/(C+4) = 9/7, allowing us to find A and C. Statement II gives (B+D)/2 = 33, so B+D = 66. Statement III gives C/D = 2/3. Using I we find A and C. Using either II or III with the B-A relationship, we can find D and compute the average of A, C, D. Thus I and either II or III are sufficient.

Multiple choice

Passage

Read the following data and answer the following Salary distribution for month of June and July 2015

Rahul age is 15 less then twice the age of Naimish , 5 year ago there age ratio was 3:2. Find the ratio of there age after 5 years ?

  1. 5:4

  2. 4:3

  3. 3:2

  4. 7:5

  5. 2:1

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

Let Rahul's age be R and Naimish's age be N. From the problem: R = 2N - 15. Five years ago: (R-5)/(N-5) = 3/2. Solving gives N = 25, R = 35. After 5 years: R = 40, N = 30. Ratio = 40:30 = 4:3. Option B is correct.

Multiple choice

Passage

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 is mother's present age ? (I) Father's age is more than mother's age. (II) Father's present age is 30 years. Four years ago the ratio of ages of mother and father was 12 : 13. Mark Answer

  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
B Correct answer
Explanation

Statement II alone is sufficient. Four years ago, ratio was 12:13, so let ages be 12x and 13x. Father's current age is 30, so 13x + 4 = 30, giving x = 2. Mother's current age = 12x + 4 = 12(2) + 4 = 28 years. Statement I only gives comparison without specific values.

Multiple choice
  1. 30 years

  2. 33 years

  3. 36 years

  4. 39 years

  5. Can't be determined

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

A+B = 2(6x-15) = 12x-30. A+B+C = 3(4x+6) = 12x+18. C = (12x+18) - (12x-30) = 48. B = 0.75C = 36. B = 1.2A => 36 = 1.2A => A = 30.