This practice test consists of analytical reasoning CAT 2010 questions which are part of the CAT Quantitative section.

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At the college entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 25 % pass the test. Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about:

68 %

70 %

75 %

73 %

Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour ?

12

10

9

15

A boy goes to see a film and finds a man who is his relative. The man is the husband of the sister of his mother. How is the man related to the boy?

Uncle

Brother

Nephew

None of the above

The ratio between the number of passengers travelling by I & II Class between two railway stations is 1 : 50, whereas the ratio of the I & II Class fares between the same stations is 3 : 1. If on a particular day, Rs. 1325 were collected from the passengers travelling between these stations, what was the amount collected from the II Class passengers ?

Rs. 1250

Rs. 1100

Rs. 1000

Rs. 1150

When Rajeev was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rajeev’s brother is 6 years older than Rajeev and his mother is 3 years younger than his father, how old was Rajeev’s sister when Rajeev was born?

15 years

7 years

17 years

10 years

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