Directions (Q. 12 - Q. 16): Study the following information carefully and answer the questions given below.
Eight persons A, B, C, D, E, F, G, and H were born on the same day of the same month but in different years
which are 1951, 1955, 1963, 1976, 1985, 1997, 2001, and 2004. All their ages are to be considered from the base
year i.e. 2020.
The difference between the age of A and B is twice the age of B. Difference between the age of B and D is 4
years. The age of E is not less than Gโs age and he is 9 years older than H. Difference between the age of C and F
is not more than 5 years.
What is the difference between the age of A and G?
๐ก Solution & Explanation:
Correct Answer: Option (C) โ age, therefore we have two cases here.
Step-by-Step Detailed Solution
31 years
53 years
41 years
28 years
7 years
1.
2.
3.
4.
5.
(1) The difference between the age of A and B is twice the age of B which implies that age of A is thrice of Bโs
age, therefore we have two cases here.
A โ B = 2*B
A = 3*B
(2) Difference between the age of B and D is 4 years.
Year Age Case I Case II
1951 69 A
1955 65
1963 57 A
1976 44
1985 35
1997 23 B D
2001 19 D B
2004 16
(3) Age of E is not less than Gโs age and he is 9 years older than H.
Year Age Case I Case II
1951 69 A
1955 65
1963 57 A
1976 44 E E
1985 35 H H
1997 23 B D
2001 19 D B
2004 16 G G
(4) Difference between the age of C and F is not more than 5 years. Case I eliminate here.
Year Age Case II
1951 69 C/F
1955 65 C/F
1963 57 A
1976 44 E
1985 35 H
1997
2001
2004
23
19
16
D
B
G
Age of A = 57 years
Age of G = 16 years
Hence, the difference between the age of A and G is 41 years.
Hence, Option (C) is the correct choice.