Races And Games Test

Result

Races And Games Test - 1

Score
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out of -
Rank
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TIME Taken - -

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Question 1
1 / -0.25

A can run 100 m in 20 seconds and B in 25 seconds. A will beat B by :

A
10 m

B
20 m

C
25 m

D
12 m

E
None of these

Solution

Distance covered by B in 5 seconds

= 100/25 × 5 = 20 m

So, A beats B by 20 m.
Question 2
1 / -0.25

At a game of billiards, A can give B 15 points in 60 and A can give C 20 in 60. How many can B give C in a game of 90?

A
10 points

B
20 points

C
30 points

D
40 points

E
None of these

Solution

A : B : C = 60 : 45 : 40

So, B gives C 10 points in game of 90.
Question 3
1 / -0.25

In a 500 m race, the ratio of speeds of two run-ners A and B is 3:4. A has a start of 140 m. Then A wins by:

A
30 m

B
34 m

C
20 m

D
10 m

E
None of these

Solution

To reach the winning points

A covers 500-140 = 360 m.

So, B covers 360 (4/3) = 480 m when A reaches the winning point.

So, A reaches the winning point while B remains 20 m behind.

So, A wins by 20 m.
Question 4
1 / -0.25

In a 100 m race, A runs at 6 km/hr. If A gives B a start of 4 m and still beats him by 12 seconds, what is the speed of B?

A
4 km/hr

B
4.5 km/hr

C
4.8 km/hr

D
5 km/hr

E
None of these

Solution
Question 5
1 / -0.25

Two men A and B run a 4 km race on a course. 250 m round. If their rates be 5 : 4, how often does the winner pass the other :

A
1 time

B
4 times

C
2 times

D
5 times

E
None of these

Solution

A's rate : B's rate = 5 : 4
Question 6
1 / -0.25

A runs 1.75 times as fast as B. If A gives B a start of 60 m, how far must the winning post be in order that A and B reach at the same time?

A
105 m

B
80 m

C
140 m

D
45 m

E
50 m

Solution
Question 7
1 / -0.25

At a game of billiards, A can give B 10 points in 60 and he can give C 15 in 60. How many can B give C in a game of 90?

A
10 points

B
9 points

C
8 points

D
7 points

E
None of these

Solution

A: C = 60:45 A: B = 60:50

So, B: C = 50 : 45

= 50 (90/50) : 45 (90/50) = 90:81

Hence, B gives C9 points in a game of 90.
Question 8
1 / -0.25

In a 1000 m race A can give B 100 m and C 280 m. In the same race, B can give C:

A
180 m

B
200 m

C
270 m

D
90 m

E
None of these

Solution
Question 9
1 / -0.25

A and B run a km and A wins by 1 minute. A and C run a km and A wins by 375 m. B and C run a km and B wins by 30 seconds. Find the time taken by A and B ro run a km race.

A
150, 210 sec

B
200, 160 sec

C
300, 150 sec

D
150, 200 sec

E
None of these

Solution
Question 10
1 / -0.25

In a race of 300 m A beats B by 15 m or 5 seconds. A's time over the course is :

A
100 sec

B
95 sec

C
105 sec

D
90 sec

E
None of these

Solution

15 m is covered by B in 5 seconds

So, 300 m is covered by B in 5/15 × 300

= 100 seconds

Hence, A's time over the course = 100-5

= 95 sec.