Some Actual CAT Questions

Sample Questions –

1. Deccan queen moves for Pune from Mumbai at 5:00 a.m. and it reaches Pune at 9:00 a.m. .Shatabdi starts at 7:00a.m. from Pune and reaches Mumbai at 10:30 a.m.. What time did the 2 trains meet.
2. Ajay and Vijay are at a distance of 100 mts., when 3rd time they meet ,they are at a distance of 20mts from Vijay’s side and each of them have completed at least 100 mts., what are the ratio of the speed of Ajay and Vijay.
3. One car sets off at 8:00 a.m. at 60kmph, at 11:00 a.m. another car starts at 100kmph. At what distance from the starting point both will meet.
4. Mumbai to Pune local starts at 5:00 a.m. and they end at 12:00in the night. They take 4 hrs .And every 15 mins. one local is initiated from each station. – a)A 5:00a.m. local will meet how many locals in its journey. b) at what intervals it will meet the local.
5. On a highway12 trucks cross in 1hour at the equal intervals, if I move from opposite directions at double the speed of the truck , in one hr. I will cross how many trucks?
6. Vijay and Pallavi went for 100, mts. ski race. Initially Pallavi’s speed was 1m/smore so Pallavi gave Vijay some lead in terms of time, when Pallavi caught up with Vijay, then Vijay increased his speed by 2m/s and he was the winner by 7 minutes and 8 seconds. Had the race been 500mts longer, he would have won by 25 more seconds. A) at what point Pallavi caught up with Vijay b.) what was the lead given to Vijay. C)speed of Pallavi, speed of Vijay.







Ans. for each question.
1. 7:56 a.m.
2. ratio-14:11
3. 450kms.
4 a)17 trains
5 36 trucks.
6 A)1440 mts. C)V-3m/s P-4m/s.

Some more Questions :

7. On a republic a day a 10 KM convoy has to cover 30km distance. Convoy moves at 10kmph. A motorcyclists starts from back of the convoy, moves in front , again goes back and from back again goes to the front, and in the mean time the convoy has completed its journey.
a. What is the speed of the motorcyclists?
b. If he increases his speed by double, then how many rounds will he take ?

8. A,B,C had to go 100 kms. A had a motorcycle by which he could go@25 kmph. Walking is done @5kmph. A picks up B, while C walks, after sometime A drops B , B moves on , A comes back picks up C and all of them reach at the same time.
a. At what distance B was dropped
b. Motorcyclists traveled how many kms?
c. Journey is of how many hours?
d. A picked up C at what distance?

9. Robbery took place at 5:00a.m. and robbers took at speed of 60kmph at 9:00 a.m. police went after the chase @80kmph . A helicopter moved @120 kmph which used to go to the robbers and come back to police and again go back. Ultimately when robbers were caught, helicopter had moved how many kilometers toward the robbers.

10. A,B,C can finish the work in 10,12,15 days. A,B started working, then B left after 2 days. In how much time the work will be completed, if C joined after 4 days.
11. A can do a work in 15 days, A& B started, but after 4 days B left and the work was completed in 10 days. How much time will B take to complete the whole work.
12. A can finish a work in 30 minutes , B in 45 Minutes, but C was disturbing them and breaking the work ,They could finish the work in 3 hours. How much time c can break the work.
13. ( use data form above question also) If C is a destroyer and talks 10 days to destroy the work and order being A,B, C. In how much time work will be completed.
14. A can do a work in 20 days , B in 10 days and C in 25 days. 1 day before the work was to be completed C left, then half day before the work was scheduled to be completed B left and now A completed the work.
a. In how many days the work will get over?
b. How much extra time was taken?