CAT Exam

Q. How many four-digit numbers, which are divisible by 15, are there such that the number 15 occurs in them?

Option
(1) 39
(2) 40
(3) 41
(4) 42

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CAT Other Question

Consider the set S = {2, 3, 4, ...., 2n + l}, where n is a positive integer larger than 2007. Define X as the average of the odd integers in S and Y as the average of the even integers in S. What is the value of X – Y?
(1) 0
(2) 1
(3) n/2
(4) n+1/2n
(5) 2008
Q. How many three digit numbers are there such that one of the digits is the arithmetic mean of the other two?

Option
(1) 120
(2) 112
(3) 121
(4) 129