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- Question
Four person A, B, C and D. The sum of their present age is 176. Four years ago ratio of their age was 11: 9 : 6 : 14, then find who is eldest and youngest among them ?
Options- A. A is eldest & C is youngest
- B. D is eldest & C is youngest
- C. C is eldest & A is youngest
- D. A is eldest & B is youngest
- Correct Answer
- D is eldest & C is youngest
ExplanationGiven sum of present ages of A, B, C & D
A + B + C + D = 176
and also given that,
(A-4) : (B-4) : (C-4) : (D-4) = 11 : 9 : 6 : 14
Let the ratio = x
=> A-4 + B-4 + C-4 + D-4 = 11x + 9x + 6x + 14x
=> (A + B + C + D ) - 16 = 40x
=> 176 - 16 = 40x
=> x = 4
=> A = 44 + 4 = 48
=> B = 40
=> C = 28
=> D = 60
Therefore, from the above conclusions
D is eldest with 60 years and C is youngest with 28 years of ages.
- 1. From station M and N, two trains start moving towards each other at speed 125 km/h and 75 km/h, respectively. When the two trains meet each other, it is founds that one train covers 50 km more than another. Find the distance between M and N.?
Options- A. 190 km
- B. 200 km
- C. 145 km
- D. 225 km Discuss
- 2. In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by
Options- A. 21 m
- B. 26 m
- C. 28m
- D. 29m Discuss
- 3. In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m ?
Options- A. 127.5 m
- B. 254 m
- C. 184 m
- D. 212 m Discuss
- 4. A runs 123 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
Options- A. 200 m
- B. 300m
- C. 270m
- D. 160m Discuss
- 5. In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:
Options- A. 22.75 m
- B. 25 m
- C. 19.5 m
- D. 18.5 m Discuss
- 6. Two trains running in opposite directions cross a man standing on the platform 54s and 34s respectively and they cross each other in 46 s . Find the ratio of their speeds.?
Options- A. 3 : 2
- B. 2 : 3
- C. 5 : 3
- D. 3 : 5 Discuss
- 7. In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C is
Options- A. 8 points
- B. 10 points
- C. 14 points
- D. 40 points Discuss
- 8. In a race of 1000 meters, A can beat B by 100 meters, in a race of 800 meters, B can beat C by 100 meters. By how many meters will A beat C in a race of 600 meters?
Options- A. 125.5 meters
- B. 126.5 meters
- C. 127.5 meters
- D. 128.5 meters Discuss
- 9. A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Options- A. 110.12 meters
- B. 111.12 meters
- C. 112.12 meters
- D. 113.12 meters Discuss
- 10. In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C:
Options- A. 8 points
- B. 10 points
- C. 14points
- D. 40points Discuss
More questions
Correct Answer: 200 km
Explanation:
Let the trains meet after time t at a distance x from station N.
Then another train coming from station M covers a distance of (x + 50)
For station M,
(x + 50) = 125t
? x = 125t - 50 ..(i)
For station N,
x = 75t .....(ii)
From Eqs. (i) and (ii), we get
75t = 125t - 50
? t = 1h
Distance between station M and N = 125 + 75t = 200 x 1 = 200 km
Correct Answer: 28m
Correct Answer: 127.5 m
Explanation:
When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.
When B runs 900 m, distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 m.
In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C.
In a race of 600 m, the number of meters by which A beats C
= (600 x 212.5)/1000 = 127.5 m.
Correct Answer: 200 m
Explanation:
Ratio of the speeds of A and B =5 : 1 = 5 :3
Thus, in race of 5 m, A gains 2 m over B.
2 m are gained by A in a race of 5 m.
80 m will be gained by A in race of m =200m
=> Winning post is 200 m away from the starting point.
Correct Answer: 25 m
Explanation:
A : B = 200 : 169.
A : C = 200 : 182.
C/B = (C/A*A/B) = (182/200*200/169) = 182:169
When C covers 182 m, B covers 169 m.
When C covers 350 m, B covers (169/180*350)m = 325 m
Therefore, C beats B by (350 - 325) m = 25 m.
Correct Answer: 3 : 2
Explanation:
Let the speeds of two trains be x and y, respectively .
? Length of 1st train = 54x
Length of the 2nd train = 34y
According to the question.
(54x + 34y) / (x + y) = 46
? 54x + 34y = 46x + 46y
? 27x + 17y = 23x + 23y
? 4x = 6y
? x/y = 3/2
? x : y = 3 : 2
Correct Answer: 10 points
Correct Answer: 127.5 meters
Explanation:
When A runs 1000 meters, B runs 900 meters and when B runs 800 meters, C runs 700 meters.
Therefore, when B runs 900 meters, the distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 meters.
So, in a race of 1000 meters, A beats C by (1000 - 787.5) = 212.5 meters to C.
So, in a race of 600 meters, the number of meters by Which A beats C = (600 x 212.5)/1000 = 127.5 meters.
Correct Answer: 111.12 meters
Explanation:
A runs 1000 meters while B runs 900 meters and C runs 800 meters.
Therefore, B runs 900 meters while C runs 800 meters.
So, the number of meters that C runs when B runs 1000 meters = (1000 x 800)/900 = 8000/9 = 888.88 meters
Thus, B can give C (1000 - 888.88) = 111.12 meters start
Correct Answer: 10 points
Explanation:
A : B = 100 : 80.
A : C = 100 : 72.
B:C = B/A*A/C = 80/10*100/72 = 10/9 = 100/90 = 100:90
B can give C 10 points
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