1. Anita is 24. She is twice as old Bala was, when she was as old as Bala is now. What is Bala's present age?Ans 1.
(a) 14 years
(b) 16 years
(c) 20 years
(d) 18 years
(e) None of these
Let x = Anita's age now.
= Difference between their ages NOW is 24-x.
24 - x years ago, Bala was a years old, while Anita was x-(24-x) = 2x - 24.
During that time, x = 2(2x-24), or x = 4x - 48, or 3x = 48, or x = 16.
Thus Anita is 16 years old now.
∴ Ages of A and B two years before the initially indicated stage are 6 years and 2 years respectively.
Let B be Ravi's brother.
Let Ravi = R
∴ R + 3 = B
When sister S was born, i.e. when S = 0,
F = 28, M = 26 ....(1)
When B = 0, S = 4
When R = 0, S = 7
At this stage, F = 35 (Using (1))
Saurabh < Richa < Sumit (= Amit) < Jyotsna
Thus Anita is 16 years old now.
2. Today is Saurabh's birthday. One year from today he will be twice as old as he was 10 years ago. How old is Saurabh today?Ans 2. 21 years. One year from today he will be 22, and twice as old as he was 10 years ago, i.e. when he was 11.
(a) 20 years
(b) 22 years
(c) 21 years
(d) 19 years
(e) None of these
3. Chinku is twice as old as Guddu and four years older than kittu. kittu is eight. How old is Guddu?Ans 3. 6 years
(a) 2 years
(b) 4 years
(c) 6 years
(d) All of the above
(e) None of these
4. The ages of Mohani, Rohani and Sohani total 47 years. what was the total of their ages three years ago?Ans 4. 38 years
(a) 44 years
(b) 38 years
(c) 41 years
(d) 40 years
(e) None of these
5. Three years ago, Rashmi was 5 years older than Diwan. what is the difference between their ages today?Ans 5. 5 years. The difference in their ages will always remain the same.
(a) 3 years
(b) 4 years
(c) 5 years
(d) 2 years
(e) None of these
6. A is older by 4 years to B at one stage. After 16 years of this stage, A will be thrice his present age and B will be five times his present age. How old would A and B be two years before the initially indicated stage?Ans 6. 6 and 2. A = B + 4, A + 16 = 3A ⇒ A = 16 B + 16 = 5B ⇒ B = 4
(a) 8 and 4
(b) 10 and 6
(c) 6 and 2
(d) 12 and 8
(e) None of these
∴ Ages of A and B two years before the initially indicated stage are 6 years and 2 years respectively.
7. A is 16 years older to B, but half the age of B is equal to one-third of the A's age. Find their present ages.Ans 7. A = 48, B = 32
(a) A = 40, B = 32
(b) A = 48, B = 32
(c) A = 46, B = 30
(d) A = 32, B = 16
(e) None of these
Ans 8. 13
8. A father tells his son, "I was of your present age when you were born." If the father is 36 now, how old was the boy 5 years back?
(a) 15
(b) 13
(c) 17
(d) 20
(e) None of these
9. Ravi is younger to his brother by 3 years. At the time of the birth of his sister, the age of his father was 28 years and that of his mother was 26 years. The age of his sister was 4 years at the time of the birth of his brother. what was the age of his father at the time of the birth of Ravi?Ans 9. 35
(a) 31
(b) 35
(c) 29
(d) 30
(e) None of these
Let B be Ravi's brother.
Let Ravi = R
∴ R + 3 = B
When sister S was born, i.e. when S = 0,
F = 28, M = 26 ....(1)
When B = 0, S = 4
When R = 0, S = 7
At this stage, F = 35 (Using (1))
10. Age of Amit is equal to that of Sumit as they are twins. Richa is younger than Su,mit. Richa is younger than Jyotsna but elder than Saurabh. Sumit is younger than Jyotsna. Who is the eldest of all?Ans 10. Jyotsna
(a) Amit
(b) Jyotsna
(c) Richa
(d) Saurabh
(e) None of these
Saurabh < Richa < Sumit (= Amit) < Jyotsna
