Race and Games Aptitude Questions and Answers – Quantitative Aptitude

Race and Games Aptitude Questions and Answers – Formulas & Tricks

Races and Games

A race or a game of skill includes the contestants in a contest and their skill in the concerned contest / game.

  • Races: A contest of speed in running, riding, driving, sailing or rowing is called a race
  • Race Course: The ground or path on which contests are made is called a race course.
  • Starting Point: The exact point / place from where a race begins, is called starting point.
  • Finishing Point: The exact point / place where a race ends, is known as finishing point.
  • Winning Point or Goal: A person who reaches the finishing point first, is called the winner.
  • Winner: The person who first reaches the winning point is called a winner.
  • Dead Heat Race: If all the persons contesting a race reach the goal exactly at the same time, the race is said to be dead heat race.
  • Start: Suppose A and B are two contestants in a race. If before the start of the race, A is at the starting point and B is ahead of A by 12 meters, then we say that “A gives B, a start of 12 meters”. To cover a race of 100 meters in this case, A will have to cover 100 meters while B will have to cover only (100 – 12) = 88meters.
  • Games: A game of 100, means that the persons among the contestants who scores 100 points first is the winner. If A scores 100 points while B scores only 80 points, then we say that “A can give B 20 points”.

Race and Games Aptitude Questions and Answers With Detailed ExplanationQuantitative Aptitude

Race and Games

Question 1
A and B take part in a 100m race. A runs at 5 km per hr. A gives B a start of 8 m and still beat him by 8 sec. Speed of B is
A
5.15 km/hr
B
4. 14 km/hr
C
4.25 km/hr
D
4.4km/hr
Question 1 Explanation: 
Answer: Option A
Explanation:
A's Speed = (5 * (5/18))m/sec = (25/18)m/sec
Time taken by A to cover 100m = (100 * (18/25))sec = 72sec
Therefore, B covers 92m in 72 + 8 = 80 sec
B's Speed =((92/80) * (18/5))km/hr = 4.14km/hr
Question 2
If in a game of 80, P can give 16 points to Q and R can give 20 points to P, then in a game of 150, how many points can R give to Q?
A
48
B
60
C
54
D
80
Question 2 Explanation: 
Answer: Option B
Explanation:
When P scores 80, Q scores 64.
When R Scores 80, P scores 60
Hence, When R scores 150, Q scores (60 * 64 * 150) / (80 * 80) =90
Therefore, in a game of 150, R can give 60 points to Q
Question 3
In a 100m race, A beats B by 10m and C by 13m. In a race of 180m, B will beat C by:
A
5.4m
B
4.5m
C
5m
D
6m
Question 3 Explanation: 
Answer: Option D
Explanation:
A : B = 100 : 90
A : C = 100 : 87
(B/C) = (B/A) * (A/C)
=(90/100) * (100/87) = (30/29)
When, B runs 30m, C runs 29m
When B runs 180m, C runs ((29/30) * 180)m = 174m
Therefore, B beats C by (180 - 174)m = 6m
Question 4
In a 300m race A beats B by 22.5m or 6 Seconds. B's time over the course is:
A
86 sec
B
80 sec
C
70 sec
D
76 sec
Question 4 Explanation: 
Answer: Option B
Explanation:
B runs (45/2)m in 6 sec.
Therefore, B covers 300m in (6 * (2/45) * 300)sec = 80 sec
Question 5
In a game of billiards, A can give B 12 points in a game of 60 points and A can give C 10 points in a game of 90 points. How many points can C give B in a game of 70?
A
73 points
B
63 points
C
80 points
D
90 points
Question 5 Explanation: 
Answer: Option B
Explanation:
If A scores 60 points, B scores 48 points.
Also, if A scores 90 points, C scores 80 points
A:B = 60:48 and A:C = 90:80
B:C = (A/C) * (B/A)
=(90/80) * (48/60) = 9/10
When C scores 10 points B scores 9 points
So, When C Scores 70 points B scores = (9/10) * 70 = 63 points
Question 6
In a 1km race, A beats B by 28 meters in 7 sec. Find A's time over the course?
A
5min, 4sec
B
4min, 3sec
C
2min, 3sec
D
3min, 4sec
Question 6 Explanation: 
Answer: Option B
Explanation:
B covers 28 meters in 7 Sec. So, B's time over the course = (7/28) * 100 = 250sec
Whereas A's time over the course = 250 - 7 = 243 sec.
That is, A's time over the course in 4 min , 3 sec
Question 7
A and B run a km and A wins by 1 min. A and C run a km and 'A' wins by 375 meters. B and C run a km and B wins by 30 seconds. Find the time taken by each to run a km.
A
180 sec
B
210 sec
C
352 sec
D
628 sec
Question 7 Explanation: 
Answer: Option B
Explanation:
Since A beats B by 60 sec and B beats C by 30 sec. So, A beats C by 90 sec. But, it being given that A beats C by 375 meters. So it means that Covers 375 meters in 90 seconds.
Time taken by C to cover 1 km = (90/375) * 100 seconds = 240 seconds
Time taken by A to cover 1 km =(240 - 90)seconds = 150 seconds
Time taken by B to cover 1 km = (240 - 30)seconds = 210 seconds
Question 8
In a 200 meters race A beats B by 35 meters or 7 Seconds. A's time over the course is:
A
40 Sec
B
35 Sec
C
33 Sec
D
30 Sec
Question 8 Explanation: 
Answer: Option C
Explanation:
B runs 35m in 7 sec
Therefore, B covers 200m in ((7/35) * 200) = 40 Sec.
B's Time over the course = 40 Sec
Therefore, A's time over the course (40 - 7)sec = 33 sec
Question 9
In a 300 meter race, A beats B by 22.5 meter or 6 seconds. B's time over the course is:
A
86 sec
B
80 sec
C
76 sec
D
70 sec
Question 9 Explanation: 
Answer: Option B
Explanation:
B Runs (45/2)mts in 6 sec.
B Covers 300m in (6 * (2/45) * 300)sec = 80sec.
Question 10
In a race of 1000 meter, A can beat by 100 meter, in a race of 800 meter, B can beat C by 100 meter, By how many meters will A beat C in a race of 600 meter?
A
57.5 meter
B
127.5 meter
C
150.7 meter
D
98.6 meter
Question 10 Explanation: 
Answer: Option B
Explanation:
When A runs 1000 meters, B runs 900 meters and when B runs 800 meters, C runs 700 meters.
When B runs 900 meters, distance that C runs = (900 * 700)/ 800 = 6300/8 = 787.5 meter
In a race of 1000 meters, A beats C by (1000 - 787.5) = 212.5 meter to C
In a race of 600 meter, the number of meters by which A beats C = (600 * 212.5) /1000 = 127.5 meter
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