Comprehension and Problem Solving-Time, Distance and Speed [CAT (Common Admission Test for IIMs) Quantitative Aptitude to Quantitative Aptitude (QA)]: Questions 1 - 4 of 31
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Question 1
Question MCQ▾
A rides to school his house at 10 km/hr and reaches the school 5 minutes late. If he rides at twice the speed. He reaches 6 minutes early. Find the distance between his school and house.
Choices
Choice (4) | Response | |
---|---|---|
a. | 1.5 km | |
b. | 1.75 km | |
c. | 3.67 km | |
d. | 2.25 km |
Question 2
Question MCQ▾
A rides to school his house at 10 km/hr and reaches the school 5 minutes late. If he rides at twice the speed. He reaches 4 minutes early. Find the distance between his school and house.
Choices
Choice (4) | Response | |
---|---|---|
a. | 2.25 km | |
b. | 3 km | |
c. | 1.75 km | |
d. | 1.5 km |
Question 3
Question MCQ▾
A and B have participated in a race of , where both of them are running at a constant rate. In the prelims round, A gave B a head start of 48m and beats him by of a minute. In the finale, A being more confident about his speed, he gave a head start of 144 m to B and was beaten by B by a margin of of a minute. Find the speed of B?
Choices
Choice (4) | Response | |
---|---|---|
a. | 10 | |
b. | 12 | |
c. | 6 | |
d. | 8 |
Question 4
Question MCQ▾
Three friends and were standing at different points on a 1000 m long track which is circular. X can run at , Y runs at speed and Z runs at two fifth of Y՚s speed. X started running 12 sec after Y started off but in the opposite direction. Z started running 6 sec after Y՚s start and in the opposite direction to covered before meeting Y for the first time at a point 30 m behind the starting point of X. Find the difference between the starting point of ?
Choices
Choice (4) | Response | |
---|---|---|
a. | 24 | |
b. | 12 | |
c. | 36 | |
d. | None of the above |