Q8. The ratio between the current ages of Rohan and Suman is 6 : 7. If Suman is 4 years old than Rohan, what will be the ratio of Rohan and Suman after 4 years?
A. 3 : 4
B. 3 : 5
C. 4 : 3
D. 7 : 8
Answer- Option D
Explanation-
Let Rohan's age and Suman's age be 6x and 7x respectively. 7x = 6x + 4 => x = 4 So, required ratio = (6x + 4) : (7x + 4) = 28 : 32 = 7 : 8
Q9. After six years, P's age will be 26 years. The ratio of the current age of P and Q is 4 : 3. What is present age of Q?
A. 12 years
B. 15 years
C. 19 years
D. 21 years
Answer- Option B
Explanation-
Let P's age and Q's age be 4x and 3x respectively. According to the question, 4x + 6 = 26 => x = 5 Q's age = 3 * 5 = 15 years
Q10. The ratio of the ages of Neeraj and his wife is 4 : 3. After 4 years, this ratio will be 9 : 7. If at the time of marriage, the ratio was 5 : 3, then how many years ago were they married?
A. 8 years
B. 10 years
C. 12 years
D. 15 years
Answer- Option C
Explanation-
Let the present age of Neeraj and his wife be 4x and 3x years respectively After 4 years, Neeraj's age = 4x + 4 His wife's age = 3x + 4
4x + 4 3x + 4
=
9 ––– 7
=> 7(4x + 4) = 9(3x + 4) => x = 8 So, their present ages are 32 years and 24 years respectively. Lets assume they were mrried z years ago
32 - z 24 - z
=
5 ––– 3
=> 3(32 - z) = 5(24 - z) => z = 12 They were married 12 years ago.
Q11. One year ago, Poonam was four times as old as her daughter Suhani. Six years hence, Poonam age will exceed her daughter's age by 9 years. The ratio of current ages of Poonam and her daughter is:
A. 9 : 2
B. 11 : 3
C. 12 : 5
D. 13 : 4
Answer- Option D
Explanation-
Suppose one years age, the ages of Suhani and Poonam be x and 4x respectively Six years hence, Suhani's age = x + 1 +6 Poonam's age = 4x + 1 + 6 4x + 7 = x + 7 + 9 => x = 3 Hence, required ratio = (4x + 1) : x + 1 = 13 : 4
Q12. The total age of Anu and Bhanu is 10 years more than the total age of Bhanu and Charu. Charu is how many years younger than Anu?
A. 10
B. 12
C. Charu is elder than Anu
D. None of these
Answer- Option A
Explanation-
According to the question (Anu + Bhanu)'s age = (Bhanu + Charu)'s age + 10 => Anu's age = Charu's age + 10 Charu is 10 years younger than Anu.
Q13. P is as much younger than Q as P is older than R. If the sum of ages of Q and R is 50 years, what is the age of P?
A. 1 year
B. 2 years
C. 25 years
D. Data inadequate
Answer- Option C
Explanation-
Q - P = P - R => 2P = Q + R Given, Q + R = 50 => 2P = 50 => P = 25
Q14. The sum of the ages of a mother and her son ages is 45 years. Five years ago, the product of their ages was 34. The ages of the son and the mother are respectively:
A. 6 and 39
B. 7 and 38
C. 9 and 36
D. 11 and 34
Answer- Option A
Explanation-
Let Mother's age and son's age be x and (45 - x) respectively Five years ago, Mother's age = x - 5 Son's age = (45 - x - 5) = (40 - x) (x - 5)(40 - x) = 34 => x2 - 45x + 234 = 0 => (x - 39)(x - 6) = 0 => x = 39 or x = 6 The age of Mother is 39 years and son's age is 6 years
7x = 6x + 4
