CAT Sample Questions

Quantitative Section : Quantitative Sample Questions

Races

101. In a kilometre race, A can give B a start of 100 m or 15 seconds. How long does A take to complete the race?
     1. 150 seconds
     2. 165 seconds
     3. 135 seconds
     4. 66.67 seconds

     Ans : C

102. A gives B a start of 10 metres in a 100 metre race and still beats him by 1.25 seconds. How long does B take to complete the 100 metre race if A runs at the rate of 10 m/sec?
     1. 8 seconds
     2. 10 seconds
     3. 16.67 seconds
     4. 12.5 seconds

     Ans : D

103. A predator is chasing its prey. The predator takes 4 leaps for every 6 leaps of the prey and the predator covers as much distance in 2 leaps as 3 leaps of the prey. Will the predator succeed in getting its food?
     1. Yes
     2. In the 6th leap
     3. Never
     4. Cannot determine

     Ans : D

104. A skating champion moves along the circumference of a circle of radius 21 meters in 44 seconds. How many seconds will it take her to move along the perimeter of a hexagon of side 42 meters?
     1. 56
     2. 84
     3. 64
     4. 48

     Ans : B

105. A runs 13/5 times as fast as B. If A gives a start of 240m, how far must the post be so that A and B might reach at the same time.
     1. 390 m
     2. 330 m
     3. 600 m
     4. 720 m

     Ans : A

106. A gives B a start of 30 seconds in a km race and still beats him by 20 m. However, when he gives B a start of 35 seconds, they finish the race in a dead heat. How long does A take to run the km?
     1. 250 seconds
     2. 285 seconds
     3. 220 seconds
     4. 215 seconds

     Ans : D

107. A can give B 20 points, A can give C 32 points and B can give C 15 points. How many points make the game?
     1. 150
     2. 200
     3. 100
     4. 170

     Ans : D

108. A can give B a start of 50 metres or 10 seconds in a kilometer race. How long does A take to complete the race?
     1. 200 seconds
     2. 140 seconds
     3. 220 seconds
     4. 190 seconds

     Ans : D

109. Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed.

     What was the length of the race?

     1. 36 meters
     2. 48 meters
     3. 60 meters
     4. 72 meters

     Ans : B

110. P can give Q a start of 20 seconds in a kilometer race. P can give R a start of 200 meters in the same kilometer race. And Q can give R a start of 20 seconds in the same kilometer race. How long does P take to run the kilometer?
     1. 200 seconds
     2. 240 seconds
     3. 160 seconds
     4. 140 seconds

     Ans : C