Age based Puzzle & Inequalities || DILR || MH-CET 2021 || 17 July for CAT & MBA Exams

Question 1

Direction: Study the following information carefully and answer the questions given below

Eight people i.e. A, B, C, D, E, F, G and H were born in eight different years i.e. 1966, 1969, 1977, 1983, 1988, 1993, 2003 and 2008. All the ages of the given people have been calculated on the base year 2020. All the information is not necessarily in the same order.The age difference between H and E is 5 years. The sum of the age of the A and the age of B is a prime number. The age of G is a perfect cube. B was born just before E . The HCF of the age of the H and F is 4 . The age of D is three times the age of C .

Who among the following is 11 years younger than B?

Question 2

Direction: Study the following information carefully and answer the questions given below

Eight people i.e. A, B, C, D, E, F, G and H were born in eight different years i.e. 1966, 1969, 1977, 1983, 1988, 1993, 2003 and 2008. All the ages of the given people have been calculated on the base year 2020. All the information is not necessarily in the same order.The age difference between H and E is 5 years. The sum of the age of the A and the age of B is a prime number. The age of G is a perfect cube. B was born just before E . The HCF of the age of the H and F is 4 . The age of D is three times the age of C .

Who was born immediately after A?

Question 3

Direction: Study the following information carefully and answer the questions given below

Eight people i.e. A, B, C, D, E, F, G and H were born in eight different years i.e. 1966, 1969, 1977, 1983, 1988, 1993, 2003 and 2008. All the ages of the given people have been calculated on the base year 2020. All the information is not necessarily in the same order.The age difference between H and E is 5 years. The sum of the age of the A and the age of B is a prime number. The age of G is a perfect cube. B was born just before E . The HCF of the age of the H and F is 4 . The age of D is three times the age of C .

What is the average of the age of E, the age of F and the age of C?

Question 4

Direction: Study the following information carefully and answer the questions given below

Eight people i.e. A, B, C, D, E, F, G and H were born in eight different years i.e. 1966, 1969, 1977, 1983, 1988, 1993, 2003 and 2008. All the ages of the given people have been calculated on the base year 2020. All the information is not necessarily in the same order.The age difference between H and E is 5 years. The sum of the age of the A and the age of B is a prime number. The age of G is a perfect cube. B was born just before E . The HCF of the age of the H and F is 4 . The age of D is three times the age of C .

Which of the following statement is false?

Question 5

Direction: Study the following information carefully and answer the questions given below

Eight people i.e. A, B, C, D, E, F, G and H were born in eight different years i.e. 1966, 1969, 1977, 1983, 1988, 1993, 2003 and 2008. All the ages of the given people have been calculated on the base year 2020. All the information is not necessarily in the same order.The age difference between H and E is 5 years. The sum of the age of the A and the age of B is a prime number. The age of G is a perfect cube. B was born just before E . The HCF of the age of the H and F is 4 . The age of D is three times the age of C .

Which of the following combinations is true?

Question 6

Direction: In each of the following questions, assuming the given statements to be true, find which of the following options holds true:

Statements:
J ≤ K, S > D < T, E ≥ S, E = G
Conclusions:
I. D < E
II. S < G

Question 7

Direction: In each of the following questions, assuming the given statements to be true, find which of the following options holds true:

Statements:
T ≥ M, M < K, C = K, P < M
Conclusions:
I. P < C
II. P < T

Question 8

Directions: In these questions, the relationship between two elements is shown in the statements. These statements are followed by two conclusions. Read the statements and given answer.

Statements:
V > M = W, P > W, M ≤ S
Conclusions:
I. W < S
II. W = S

Question 9

Direction: In the following questions, a relationship between different elements is shown in the statements. The statements are followed by some conclusions. With the help of given statements, find out which of the given conclusions logically follow.

Statements:
Q < H ≤ T; R > T; B > R ≤ H < A
Conclusions:
I. A > T
II. R < Q
III. A > Q

Question 10

Direction: In the following question, some statements are followed by two conclusions (I and II). Assuming the given statements to be true, find which of the two conclusions follow(s) the given statements and choose appropriate answer choice.

Statements:
A = M < K, L < S = A > B
Conclusions:
I. L > K
II. S > K