MCQ: Races and Games of Skill - 2 - SSC CGL MCQ

MCQ: Races and Games of Skill - 2 - SSC CGL MCQ

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15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Races and Games of Skill - 2

MCQ: Races and Games of Skill - 2 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Races and Games of Skill - 2 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Races and Games of Skill - 2 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Races and Games of Skill - 2 below.
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MCQ: Races and Games of Skill - 2 - Question 1

In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 1

A : B = 100 : 90.
A : C = 100 : 87.

When B runs 30 m, C runs 29 m.
When B runs 180 m,

∴ B beats C by (180 - 174) m = 6 m.

MCQ: Races and Games of Skill - 2 - Question 2

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 2

B runs 35 m in 7 sec.

= 40 sec.
B's time over the course = 40 sec.
B's time over the course = 40 sec.
A's time over the course (40 - 7) sec = 33 sec.

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MCQ: Races and Games of Skill - 2 - Question 3

In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C:

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 3

A : B = 100 : 80.
A : C = 100 : 72.

∴ B can give C 10 points.

MCQ: Races and Games of Skill - 2 - Question 4

In a Km. race, A beats B by 40m or 8 seconds. Find A's time over the course.

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 4

Clearly, B covers 40 m in seconds.
∴ B's time over the course = (8/40*1000) sec. = 200sec.
A's time over the course = (200-8) sec. =192 sec. = 3 min. 12 sec.

MCQ: Races and Games of Skill - 2 - Question 5

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

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 5

Time taken by A to run 100m = (60*60/6000*100) sec. = 60 sec.
B covers (100-4) m in (60 +12) sec.
∴ B's speed = 96/72m/sec. = (96/72*18/5) km/hr = 4.8 km/hr

MCQ: Races and Games of Skill - 2 - Question 6

A can run 1 km in 4min. 50 sec. and B in 5 min. How many meters start A give B in a km race so that the race may end in a dead heat?

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 6

Time taken by A to run 1 km = 290 sec.
Time taken by B to run 1 km = 300 sec.
A can give B a start of (300-290) = 10sec.
In 300 sec, B runs (1000/300*10) m = 100/3 m
∴ A can give B start of 100/3 m.

MCQ: Races and Games of Skill - 2 - Question 7

A can run 1 km in 3 min.10sec. And B can cover the same distance in 3 min. 20 sec. By what distance can A beat B?

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 7

Clearly, A beats B by 10 sec.
Distance covered by B in 10 sec. = (1000/200*10)m = 50m
∴A beat B by 50 m.

MCQ: Races and Games of Skill - 2 - Question 8

A, B, C are the three contestants in a km race. If A can give B a start of 40m and A can give C a start of 64m, how many meters start can B give C?

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 8

While A covers 1000m, B covers (1000-40)=960m and C covers (1000-64) = 936m.
When B covers 960 m, C covers 936 m.
When B covers 1000m, C covers (936/960*1000)m = 975m
∴ B gives C a start of (1000-975) m = 25 m.

MCQ: Races and Games of Skill - 2 - Question 9

In a race of 600m, A can beat B by 60m and in a race of 500m, B can beat C by 50m. By how many meters will A beat C in a race of 400m?

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 9

If A runs 600m, B runs 540 m.
If A runs 400m, B runs (540/600*400) m = 360m
When B runs 500m, C runs 450m.
When B runs 360 m, C runs (450/500*360) m = 324 m.
∴ A beats C by (400-324) m =76 m.

MCQ: Races and Games of Skill - 2 - Question 10

A can run 100m in 27 sec. and B in 30 sec. A beat B by

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 10

Distance covered by B in 3 sec. =(100/30*3) m = 10m
∴ A beats B by 10m.

MCQ: Races and Games of Skill - 2 - Question 11

A can run 1 km in 4 min.54 sec. and B in 5 min. How many meters start can A give B in a km race so that the race may end in a dead heat?

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 11

Distance covered by B in 6 sec. =(1000/300*6)m = 20m
∴  A beats B by 20 m.
For a dead heat race, A must give B a start of 20m.

MCQ: Races and Games of Skill - 2 - Question 12

A runs 7/4 times as fast as B. if A gives B a start of 60m , how far must the winning post be in order that A and B reach it at the same time ?

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 12

Ratio of the rates of A and B = 7:4
3m are gained by A in a race of 7m .
60m  are gained by A in a race of (7/3*60)m = 140m.

MCQ: Races and Games of Skill - 2 - Question 13

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 ?

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 13

A: B :C = 60:45: 40
∴  B:C = 45/40 =9/8 = 9*10/8*10 = 90/80
Thus , if B score 90 points , then C score 80 points.
B can give C 10 points in a game of 90.

MCQ: Races and Games of Skill - 2 - Question 14

A can run 20 m while B runs 25 m. In a km race, B beats A by:

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 14

In a 25m race, B beats A by 5 m.
In a km race , B beats A by (5/25*1000) m = 200m

MCQ: Races and Games of Skill - 2 - Question 15

A and B take part in a 100m race. A runs at 5km/hr. A gives B a start of 8m and still beats him by 8 sec. B?s speed is:

Detailed Solution for MCQ: Races and Games of Skill - 2 - Question 15

A's  speed  =(5*5/18) m/s = 25/18m/s.
Time taken by A to cover 100m  = (100* 18/25) sec.  =72 sec.
∴ B covers 92 m in (72+8) sec.= 80 sec.
∴ B's speed = (92/80)m/sec. = (92/80* 18/5) km/hr =  4.14km/hr

Quantitative Aptitude for SSC CGL

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Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests