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- Question
- 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
- Correct Answer
- 115 s
ExplanationAccording 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 - 1. If A son is younger then his father by 25 years and the father was 45 years old,4 years ago. What will be the total age of the father and son after 5 years?
Options- A. 82 years
- B. 88 years
- C. 83 years
- D. 78 years Discuss
- 2. A man is five times as old as his son. four years later the sum of their ages will be 56 years. How old is the son at present?
Options- A. 12 years
- B. 5 years
- C. 6 years
- D. 8 years Discuss
- 3. The sum of the ages of Yogesh, Prakash and sameer is 93 years. 10 years ago the ratio of their ages was 2 : 3 : 4. What is the present age of sameer?
Options- A. 32 years
- B. 24 years
- C. 34 years
- D. None of these Discuss
- 4. The ratio in the ages of A and B, 1 year ago was 3 : 4. While it will be 5 : 6 after 1 year. What is the present age of B?
Options- A. 8 years
- B. 4 years
- C. 6 years
- D. None of these Discuss
- 5. The age of the father 4 years ago was 5 times the age of his son. If the sum of their present ages is 44 years. What is the present age of his son?
Options- A. 6 years
- B. 10 years
- C. 4 years
- D. 8 years Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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 Discuss
Problems on Ages
Search Results
Correct Answer: 83 years
Explanation:
Let the present age of father be x years, Then the present age of son = (x - 25) years .
According to to question,
x - 4 = 45
? x = 45 + 4
? x = 49
? Age of son = 49 - 25 = 24 years
? Age of son after five years = 24 + 5 = 29 years
? Age of father after five years = 49 + 5= 54 years
Total age of both = 29 + 54= 83 years
Correct Answer: 8 years
Explanation:
Let the present age of man be x years and the age of his son be y years.
From 1st condition,
x = 5y .....(i)
From 2nd condition ,
(x + 4 ) + (y + 4) = 56
? x + y + 8 = 56
? x + y = 48 ... (ii)
Putting x = 5y in equation (ii)
5y + y = 48
? 6y = 48
? y = 8
? Age of son = 8 years
Correct Answer: None of these
Explanation:
Let the respective ages of Yogesh, Prakash, and Sameer 10 years's ago be 2x, 3x and 4 x years.
? Present age of Yogesh = (2x + 10 ) years
? Present age of Prakash = (3x + 10 ) years
? Present age of sameer = (4x + 10) years
According to question,
(2x + 10) + (3x + 10) + (4x + 10 ) = 93
? 9x + 30 = 93
? 9x = 63
? x = 7
? Present age of Sameer = 4x + 10 = 28 + 10 = 38 years .
Correct Answer: None of these
Explanation:
Let the present age of A and B be x and y years respectively
From 1st condition
(x - 1) / (y -1) = 3/4
? 4x - 4 = 3y - 3
? 4x - 3y = 1 ... (i)
From 2nd condition,
(x + 1) / (y + 1) = 5/6
? 6x + 6 = 5y + 5
? 6x - 5y = -1 ...(ii)
Multiplying equation (i) by 3 and equation (ii) by 2 and subtract
y = 5
? Present age of B = 5 years
Correct Answer: 10 years
Explanation:
Let the present age of father and son be x and y years respectively.
From 1st condition,
(x - 4) = 5(y- 4)
? x - 4 = 5y - 20
? x - 5y = -16 .....(i)
From 2nd condition,
? x + y = 44 ...(ii)
From equation (i) and (ii)
-6y = -60
? y = 10
? Present age of son = 10 years
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: 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: 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: 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: 3 : 5
Explanation:
Let 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
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