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 Explanation – Quantitative 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
5.15 km/hr | |
4. 14 km/hr | |
4.25 km/hr | |
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
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?
48 | |
60 | |
54 | |
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
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:
5.4m | |
4.5m | |
5m | |
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
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:
86 sec | |
80 sec | |
70 sec | |
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
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?
73 points | |
63 points | |
80 points | |
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
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?
5min, 4sec | |
4min, 3sec | |
2min, 3sec | |
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
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.
180 sec | |
210 sec | |
352 sec | |
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
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:
40 Sec | |
35 Sec | |
33 Sec | |
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
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:
86 sec | |
80 sec | |
76 sec | |
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.
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?
57.5 meter | |
127.5 meter | |
150.7 meter | |
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
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
There are 10 questions to complete.
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