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- Question
- The ratio of the ages of Ram and Rahim 10 yr ago was 1 : 3 . The ratio of their ages five years hence will be 2 : 3. Then, the ratio of their present ages is?
Options- A. 1 : 2
- B. 3 : 5
- C. 3 : 4
- D. 2 : 5
- Correct Answer
- 3 : 5
ExplanationLet 10 yr ago, ages of Ram and Rahim were k yr and 3k yr, respectively.
Then, present age of Ram = (k + 10)
and present age of Rahim = (3k + 10)
According to the question, (k + 10 + 5) / (3k + 10 + 5) = 2/3
? 3k + 45 = 6k + 30
? 3k = 15
? k = 5
Hence, required ratio = (5 + 10) / (3 x 5 + 10)
= 15/25
= 3 : 5 - 1. The ratio between the present ages of Tarun and Varun is 3 : 7, respectively. After 4 yr, Varun's age will be 39 yr. What was Tarun's age 4 yr ago?
Options- A. 12 yr
- B. 13 yr
- C. 19 yr
- D. 18 yr Discuss
- 2. Before 7 yr, the ratio of ages of A and B was 3 : 4 after 9 yr, ratio of their ages will be 7 : 8. The present age of B will be
Options- A. 16 yr
- B. 19 yr
- C. 28 yr
- D. 23 yr Discuss
- 3. At present Meena is eight times her daughter's age. 8 yr from now, the ratio of the ages of Meena and her daughter will be 10 : 3, respectively. What is Meena's present age?
Options- A. 32 yr
- B. 40 yr
- C. 36 yr
- D. Cannot be determined Discuss
- 4. Raju decided to marry 3 yr after he gets a job. He was 17 yr old when he passed class 12th. After passing class 12th, he had completed his graduation course in 3 yr and PG course in 2 yr. He got the job exactly 1 yr after completing his PG course. At what age will he get married?
Options- A. 27 yr
- B. 26 yr
- C. 28 yr
- D. 23 yr Discuss
- 5. Two trains of length 50 m and 65 m are moving in the same direction at 18 m/s and 17 m/s, respectively. Find the time taken by the faster train to cross the slower train.?
Options- A. 100 s
- B. 114 s
- C. 95 s
- D. 115 s Discuss
- 6. The ages of Harsh and Sumit are 40 yr and 60 yr, respectively. How many year before the ratio of their ages was 3 : 5?
Options- A. 15 yr
- B. 20 yr
- C. 37 yr
- D. 10 yr Discuss
- 7. The present age of Ravi's father is four times Ravi's present age.Five years back, Ravi's father was seven times as old as Ravi was at that time. What is the present age of Ravi's father?
Options- A. 84 yr
- B. 70 yr
- C. 40 yr
- D. 35 yr Discuss
- 8. 3 yr before, the average age of a family of 5 members was 17 yr. Due to birth of a new child, the average age is same today. The present age of child is?
Options- A. 1 yr
- B. 3 yr
- C. 21/2 yr
- D. 2 yr Discuss
- 9. The ratio of present ages of two brothers is 1 : 2 and 5 years ago the ratio was 1: 3. What will be the ratio of their ages after 5 years?
Options- A. 1 : 4
- B. 2 : 3
- C. 3 : 5
- D. 5 : 6 Discuss
- 10. If the two digits of the age of Mr. Manoj are reversed then the new age so obtained is the age of his wife. 1/11 of the sum of their ages is equal to the difference between their ages. If Mr. Manoj is elder than his wife then find the difference their ages?
Options- A. Cannot be determined
- B. 10 years
- C. 8 years
- D. 9 years Discuss
Problems on Ages
Search Results
Correct Answer: 18 yr
Explanation:
Let Tarun and Varun's ages are 3k yr and 7k yr, respectively.
? 7k + 4 = 39
? k = 5
Hence, Tarun's age 4 yr ago = 3 x 5 - 4 = 11 yr
Correct Answer: 23 yr
Explanation:
Let the ages of A and B before 7 yr were 3k yr and 4k yr, respectively.
? Present age of A = 3k + 7
and present age of B = 4k + 7
Now, according to the question,
? (3k + 7 + 9) / (4k + 7 + 9) = 7/8
? 24k + 128 = 28k + 112
? 4k = 16
? k = 4
Hence, present age of B = 4 x 4 + 7
= 16 + 7 = 23 yr
Correct Answer: 32 yr
Explanation:
Let age of daughter = N yr
? Age of Meena = 8N yr
Accounting to the question, (8N + 8)/(N + 8) = 10/3
? 24N + 24 = 10N + 80
? 14N = 56
? N = 4
Hence, Meena's present age = 4 x 8 = 32 yr
Correct Answer: 26 yr
Explanation:
? Age of Raju when he got the job = 17 + 3 + 2 + 1 = 23 yr
? Age of Raju at the time of marriage = 23 + 3 = 26 yr
Correct Answer: 115 s
Explanation:
According to the formula.
Required time = (x + y)/(u - v)
Here , x = 50 m , y = 65 m , u = 18 m/s and v = 17 m/s
? Required time = (50 + 65)/(18 - 17) = 115/ 1 = 115 s
Correct Answer: 10 yr
Explanation:
Let k yr before, the ratio of their ages was 3 : 5.
According to the question
(40 - k)/(60 - k) = 3/5
? 200 - 5k = 180 - 3k
? 2k = 20
? k = 10
Correct Answer: 40 yr
Explanation:
Let present age of Ravi be k.
Then, Present age of Ravi's father = 4k.
Now, 5 yr ago,
Ravi's father's age = 7 x Ravi's age
? 4k - 5 = 7(k - 5)
? 4k - 5 = 7k - 35
? 3k = 30
? k = 10
? Ravi's present age = k = 10 yr
? Ravi's father's present age = 4k
= 4 x 10 = 40 yr
Correct Answer: 2 yr
Explanation:
3 yr before, total age of 5 members = 17 x 5 = 85 yr
? The present age of all members of family = 85 + 3 x 5 = 100 yr
Let the age of child be N yr.
? Present average age of family including the child
= (100 + N)/6
? 17 = (100 + N)/6
? N = 102 - 100 = 2 yr
Correct Answer: 3 : 5
Explanation:
Let us assume their present ages be x and 2x years; then
5 years ago ages of the brothers was x - 5 and 2x - 5 years.
According to question, 5 years ago the ratio was 1: 3
( x - 5)/(2x - 5) = 1/3
? 3x-15 = 2x -5
? x = 10
Hence, their present ages 10 years and 20 years.
Ages after 5 years will be 10 +5 and 20 + 5 Years
Required ratio = 10+5/20 + 5 = 15/25 = 3/5 = 3 : 5
Correct Answer: 8 years
Explanation:
Let the age of Mr Manoj be (10y + y) yrs.
? His wife's age = (10y + x ) years
Then, ((10x + y + 10y + x) / 11 = 10x + y -10y-x
? x + y = 9x - 9y
? 8x = 10y
? x/y = 5/4
? x = 5 and y =4 (because any other multiple of 5 will make x of two digits).
? Diff. = (10x + y) - (10y - x)
= 9x - 9y
= 9(x-y)
= 9(5-4)
= 9 yrs.
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