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- Question
- Two trains of length 512 m and 528 m are running towards each others on parallel lines at 84 km/h and 60 km/h, respectively. In what time, will they be clear of each other from the moments they meet?
Options- A. 26 s
- B. 25 s
- C. 15 s
- D. 27 s
- Correct Answer
- 26 s
ExplanationRelative speed = (84 + 60) km/h = 144 km/h = 144 x (5/18) = 8 m/s
Distance covered in passing each other = 512 + 528 = 1040 m
? Required time = 1040/40 = 26 s - 1. The ratio between present age of Kunal and Ganesh is 3 : 5. If 4 years later Kunal will be younger then Ganesh by 12 years. What is the present age of Kunal?
Options- A. 17 years
- B. 19 years
- C. 22 years
- D. None of these Discuss
- 2. After 6 years Pradhan's age will be 3/7 times the age of his father. 10 years ago the ratio in the age of Pradhan and his father was 1 : 5. What is the present age of Pradhan's father?
Options- A. 40 years
- B. 50 years
- C. 56 years
- D. Data is inadequate Discuss
- 3. If the age of P and R are added to twice the age of Q the total becomes 59. If the ages of Q and R are added to thrice the age of P the total becomes 68. And if the age of P is added to thrice the age of Q and thrice the age of R, the total becomes 108. what is the age of P T?
Options- A. 15 years
- B. 19 years
- C. 17 years
- D. 12 years Discuss
- 4. The product of the ages of Harish and Seema is 240 . If twice the age of seema is more then Harish's age by 4 years. What is seema's age in years?
Options- A. 12 years
- B. 20 years
- C. 10 years
- D. 14 years Discuss
- 5. The ratio of the present ages of a son and his father is 1 : 5 and that of his mother and father is 4 : 5. After 2 years the ratio of the age of the son to that of his mother becomes 3 : 10. What is the present age of the father?
Options- A. 30 years
- B. 28 years
- C. 27 years
- D. None of these Discuss
- 6. In a family, the average age of father and mother is 35 yr. The average age of the father, mother and their only son is 27 yr. What is the age of the son?
Options- A. 12 yr
- B. 11 yr
- C. 10.5 yr
- D. 10 yr Discuss
- 7. The average age of 9 students and their teacher is 16 yr. The average age of the first four students is 19 yr and that of the last five is 10 yr. The teacher's age is?
Options- A. 36 yr
- B. 34 yr
- C. 30 yr
- D. 28 yr Discuss
- 8. The sum of the present ages of Varun and Kapil is 42 yr. The ratio of their ages after 5 yr will be 15 : 11. What is the present age of Kapil?
Options- A. 17 yr
- B. 24 yr
- C. 25 yr
- D. 22 yr Discuss
- 9. At present, Anil is 1.5 times of Purvi's age. 8 yr hence, the respective ratio between Anil and Purvi's ages will be 25 : 18 What is purvi's present age?
Options- A. 50 yr
- B. 28 yr
- C. 42 yr
- D. 36 yr Discuss
- 10. The average of the present ages of Sachin and Saurabh is 36 yr. If Sachin is 8 yr older than Saurabh, what is the saurabh's present age?
Options- A. 30 yr
- B. 34 yr
- C. 32 yr
- D. 40 yr Discuss
Problems on Ages
Search Results
Correct Answer: None of these
Explanation:
Let the present age of Kunal be 3x year and the
present age of Ganesh = 5x years.
According to question ,
(5x + 4 ) - (3x + 4 ) = 12
? 2x = 12
? x = 6
? Present age of Kunal = 3x = 3 x 6 = 18 year
Correct Answer: 50 years
Explanation:
Let the present age of Pradhan be P years and his father's age = Q years.
From 1st condition,
(P + 6) = (Q + 6 ) x 3/7
? 7P + 42 = 3Q + 18
? 7P - 3Q = -24 ...(i)
From 2nd condition
(P - 10) / (Q - 10) = 1/5
? 5P - 50 = Q - 10
? 5P - Q = 40 .....(ii)
Multiplying equation (ii) by 3 and subtracting from (i) we get
P = 18, Q = 50
So present age of Pradhan's father = 50 years.
Correct Answer: 12 years
Explanation:
P + R + 2 Q = 59, ....(i)
Q + R + 3 P = 68 .....(ii)
and P + 3 (Q + R) = 108 ......(iii)
Solving the above three equations, we get
? P + 3 (68 - 3P) = 108
? P + 204 - 9P = 108
? P = 12 years.
Correct Answer: 12 years
Explanation:
Let the ages of Harish and Seema be x and y respectively.
According to the question,
xy = 240 ....(i)
2y - x = 4 ....(ii)
Solving equations (i) and (ii), we get
y = 12 years
Correct Answer: None of these
Explanation:
? S / F = 1 / 5
? F = 5 S, .....(i)
? M / F = 4 / 5
? M = 4 / 5 F ....(ii)
? (S + 2) / (M + 2) = 3 / 10
? 10S + 20 = 3M + 6 ....(iii)
From (i), (ii) and (iii)
? (12 - 10)S = 20 - 6
? 2S = 14
? S = 7 years
? F = 5S = 5 x 7 = 35 years.
Correct Answer: 11 yr
Explanation:
? Total age of father and mother = 35 x 2 = 70 yr
and total age of father, mother and son = 27 x 3 = 81 yr
&there4: Age of son = 81 -70 = 11 yr
Correct Answer: 34 yr
Explanation:
? Total age of 9 students and a teacher = 10 x 16 = 160 yr
Total age of first 4 students = 4 x 19 = 76 yr
and total age of last 5 students = 5 x 10 = 50 yr
? Age of teacher = 160 - 76 - 50 = 34 yr
Correct Answer: 17 yr
Explanation:
Let the present age of Varun be M and present age of Kapil be N.
According to the questions,
M + N = 42 ...(i)
Again, according to the question, After 5 yr,
(M + 5)/(N + 5) = 15/11
? 11M + 55 = 15N + 75
? 11M - 15N = 20 ...(ii)
On solving Eqs. (i) and (ii),
? N = 17 yr
Hence, present age of Kapil = 17 yr
Correct Answer: 28 yr
Explanation:
Let age of Purvi = N yr
Then, age of Anil = 1.5N yr
According to the question,
(1.5N + 8)/(N + 8) = 25/18
? 27N + 144 = 25N + 200
? N = 56/2 = 28
Hence, present age of Purvi = 28 yr
Correct Answer: 32 yr
Explanation:
? Total age of Sachin and Saurabh = 36 x 2 = 27 yr
Let age of Saurabh = x yr
Then, age of Sachin = (x + 8) yr
According to the question, x + x + 8 = 72
? 2x = 64
? x = 32
Hence, Saurabh's present age = 32 yr
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