CAT Exam

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

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CAT Other Question

A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount?
(1) Over Rupees 13 but less than Rupees 14
(2) Over Rupees 7 but less than Rupees 8
(3) Over Rupees 22 but less than Rupees 23
(4) Over Rupees 18 but less than Rupees 19
(5) Over Rupees 4 but less than Rupees 5 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