CAT Exam

A and B run a 10 km race. In the first heat, A gives B a head start of 500 mts and beats him by 50 seconds. In the second heat, A gives B a head start of 80 seconds and is beaten by 1000 mts. What is the ratio of the speeds of A and B?

Option
(1) 24 : 36
(2) 35 : 24
(3) 35 : 26
(4) 34 : 22

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CAT Other Question

If y = min {(x + 1), |5-3x|}, what is the range of x for which the value of y decreases continuously as x increases?
(1) 1 x 5/3
(2) 1 x 5/3
(3) 5/3 x 1
(4) 5/3 x 1 A can complete a piece of work P in 6 days while B can complete twice that work in half the time taken by A. C can complete half of work P in thrice the amount of time taken by B for double the work. If A and C start the work together and B joins them after exactly 1.5 days, in how many days will the total work be complete?

Option
(1) 2
(2) 2.25
(3) 2.5
(4) 2.75