1. In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
A. 200 sec
B. 190 sec
C. 210 sec
D. 150 sec
Answer: Option B
Explanation:
Time taken by B run 1000 meters = [latex]\frac{(1000 * 10)}{50 }[/latex]= 200 sec.
Time taken by A = 200 - 10 = 190 sec.
2. A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
A. 111.12 m
B. 888.88 m
C. 777.52 m
D. 756.34 m
Answer: Option A
Explanation:
A runs 1000 m while B runs 900 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= [latex]\frac{(1000 * 800)}{9 }[/latex] = [latex]\frac{8000}{9 }[/latex] = 888.88 m.
B can give C = 1000 - 888.88 = 111.12 m.
3. In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
A. 57.5 m
B. 127.5 m
C. 150.7 m
D. 98.6 m
Answer: Option B
Explanation:
When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.
When B runs 900 m, distance that C runs = [latex]\frac{(900 * 700) }{800 }[/latex] = [latex]\frac{6300 }{8 }[/latex] = 787.5 m.
In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C.
In a race of 600 m, the number of meters by which A beats C = [latex]\frac{(600 * 212.5) }{1000 }[/latex] = 127.5 m.
4. In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
Answer: Option C
Explanation:
A scores 60 while B score 40 and C scores 30.
The number of points that C scores when B scores 100 = [latex]\frac{(100 * 30) }{40 }[/latex] = 25 * 3 = 75.
In a game of 100 points, B gives (100 - 75) = 25 points to C.
5. What sum of money will produce Rs.70 as simple interest in 4 years at 3 [latex]\frac{1 }{2}[/latex] percent?
1584
B. 1120
C. 792
D. 1320
Answer: Option B
Explanation:
70 = [latex]\frac{P*4*7 }{2 }[/latex] X [latex]\frac{1 }{100 }[/latex]
P = 500