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Quantitative Aptitude

RACES AND GAMES MCQs

Races And Games Of Skill

Total Questions : 186 | Page 14 of 19 pages
Question 131.


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:

  1.    21 m
  2.    26 m
  3.    28 m
  4.    29 m
 Discuss Question
Answer: Option C. -> 28 m

A : B = 100 : 75


B : C = 100 : 96.



In A 100 M Race, A Can Beat B By 25 M And B Can Beat C By 4 ... A : C =
In A 100 M Race, A Can Beat B By 25 M And B Can Beat C By 4 ...
A
x
B
In A 100 M Race, A Can Beat B By 25 M And B Can Beat C By 4 ...
=
In A 100 M Race, A Can Beat B By 25 M And B Can Beat C By 4 ...
100
x
100
In A 100 M Race, A Can Beat B By 25 M And B Can Beat C By 4 ...
=
100
= 100 : 72.
B
C
75
96
72


In A 100 M Race, A Can Beat B By 25 M And B Can Beat C By 4 ... A beats C by (100 - 72) m = 28 m.


Question 132.


In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:

  1.    18 m
  2.    20 m
  3.    27 m
  4.    9 m
 Discuss Question
Answer: Option B. -> 20 m

A : B = 100 : 90.


A : C = 100 : 72.



B : C =
B
x
A
=
90
x
100
=
90
.
A
C
100
72
72


When B runs 90 m, C runs 72 m.



When B runs 100 m, C runs
In A 100 M Race, A Can Give B 10 M And C 28 M. In The Same R...
72
x 100
In A 100 M Race, A Can Give B 10 M And C 28 M. In The Same R...m
= 80 m.
90


In A 100 M Race, A Can Give B 10 M And C 28 M. In The Same R... B can give C 20 m.


Question 133.


A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:

  1.    5.15 kmph
  2.    4.14 kmph
  3.    4.25 kmph
  4.    4.4 kmph
 Discuss Question
Answer: Option B. -> 4.14 kmph


A's speed =
A And B Take Part In 100 M Race. A Runs At 5 Kmph. A Gives B...
5 x
5
A And B Take Part In 100 M Race. A Runs At 5 Kmph. A Gives B...m/sec
=
25
m/sec.
18
18



Time taken by A to cover 100 m =
A And B Take Part In 100 M Race. A Runs At 5 Kmph. A Gives B...
100 x
18
A And B Take Part In 100 M Race. A Runs At 5 Kmph. A Gives B...sec
= 72 sec.
25


A And B Take Part In 100 M Race. A Runs At 5 Kmph. A Gives B... Time taken by B to cover 92 m = (72 + 8) = 80 sec.



A And B Take Part In 100 M Race. A Runs At 5 Kmph. A Gives B... B's speed =
A And B Take Part In 100 M Race. A Runs At 5 Kmph. A Gives B...
92
x
18
A And B Take Part In 100 M Race. A Runs At 5 Kmph. A Gives B...kmph
= 4.14 kmph.
80
5


Question 134.


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

  1.    60 m
  2.    40 m
  3.    20 m
  4.    10 m
 Discuss Question
Answer: Option C. -> 20 m

To reach the winning post A will have to cover a distance of (500 - 140)m, i.e., 360 m.


While A covers 3 m, B covers 4 m.



While A covers 360 m, B covers
In A 500 M Race, The Ratio Of The Speeds Of Two Contestants ...
4
x 360
In A 500 M Race, The Ratio Of The Speeds Of Two Contestants ...m
= 480 m.
3


Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.


In A 500 M Race, The Ratio Of The Speeds Of Two Contestants ... A wins by 20 m.


Question 135.


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:

  1.    5.4 m
  2.    4.5 m
  3.    5 m
  4.    6 m
 Discuss Question
Answer: Option D. -> 6 m

A : B = 100 : 90.


A : C = 100 : 87.



B
=
B
x
A
=
90
x
100
=
30
.
C
A
C
100
87
29


When B runs 30 m, C runs 29 m.



When B runs 180 m, C runs
In A 100 M Race, A Beats B By 10 M And C By 13 M. In A Race ...
29
x 180
In A 100 M Race, A Beats B By 10 M And C By 13 M. In A Race ...m
= 174 m.
30


In A 100 M Race, A Beats B By 10 M And C By 13 M. In A Race ... B beats C by (180 - 174) m = 6 m.


Question 136.


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

  1.    30 points
  2.    20 points
  3.    10 points
  4.    12 points
 Discuss Question
Answer: Option C. -> 10 points

A : B = 60 : 45.


A : C = 60 : 40.



At A Game Of Billiards, A Can Give B 15 Points In 60 And A C...
B
=
At A Game Of Billiards, A Can Give B 15 Points In 60 And A C...
B
x
A
At A Game Of Billiards, A Can Give B 15 Points In 60 And A C...
=
At A Game Of Billiards, A Can Give B 15 Points In 60 And A C...
45
x
60
At A Game Of Billiards, A Can Give B 15 Points In 60 And A C...
=
45
=
90
= 90 : 80.
C
A
C
60
40
40
80


At A Game Of Billiards, A Can Give B 15 Points In 60 And A C... B can give C 10 points in a game of 90.


Question 137.

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:

  1.    22.75 m
  2.    25 m
  3.    19.5 m
  4.     7 4 m 7
 Discuss Question
Answer: Option B. -> 25 m

A : B = 200 : 169.


A : C = 200 : 182.



C
=
In A Race Of 200 M, A Can Beat B By 31 M And C By 18 M. In A...
C
x
A
In A Race Of 200 M, A Can Beat B By 31 M And C By 18 M. In A...
=
In A Race Of 200 M, A Can Beat B By 31 M And C By 18 M. In A...
182
x
200
In A Race Of 200 M, A Can Beat B By 31 M And C By 18 M. In A...
= 182 : 169.
B
A
B
200
169


When C covers 182 m, B covers 169 m.



When C covers 350 m, B covers
In A Race Of 200 M, A Can Beat B By 31 M And C By 18 M. In A...
169
x 350
In A Race Of 200 M, A Can Beat B By 31 M And C By 18 M. In A...m
= 325 m.
182


Therefore, C beats B by (350 - 325) m = 25 m.


Question 138.


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

  1.    8 points
  2.    10 points
  3.    14 points
  4.    40 points
 Discuss Question
Answer: Option B. -> 10 points

A : B = 100 : 80.


A : C = 100 : 72.



In A Game Of 100 Points, A Can Give B 20 Points And C 28 Poi...
B
=
In A Game Of 100 Points, A Can Give B 20 Points And C 28 Poi...
B
x
A
In A Game Of 100 Points, A Can Give B 20 Points And C 28 Poi...
=
In A Game Of 100 Points, A Can Give B 20 Points And C 28 Poi...
80
x
100
In A Game Of 100 Points, A Can Give B 20 Points And C 28 Poi...
=
10
=
100
= 100 : 90.
C
A
C
100
72
9
90


In A Game Of 100 Points, A Can Give B 20 Points And C 28 Poi... B can give C 10 points.


Question 139.


In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:

  1.    20 m
  2.    25 m
  3.    22.5 m
  4.    9 m
 Discuss Question
Answer: Option A. -> 20 m


Distance covered by B in 9 sec. =
In 100 M Race, A Covers The Distance In 36 Seconds And B In ...
100
x 9
In 100 M Race, A Covers The Distance In 36 Seconds And B In ...m
= 20 m.
45


In 100 M Race, A Covers The Distance In 36 Seconds And B In ... A beats B by 20 metres.


Question 140.


A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:

  1.    100 m
  2.     111 1 m 9
  3.    25 m
  4.    50 m
 Discuss Question
Answer: Option A. -> 100 m


When B runs 25 m, A runs
45
m.
2



When B runs 1000 m, A runs
A Can Run 22.5 M While B Runs 25 M. In A Kilometre Race B Be...
45
x
1
x 1000
A Can Run 22.5 M While B Runs 25 M. In A Kilometre Race B Be...m
= 900 m.
2
25


A Can Run 22.5 M While B Runs 25 M. In A Kilometre Race B Be... B beats A by 100 m.


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