MBA Exam

There are 11 books on a shelf. How many ways are there to choose 4 of them so that no two of the chosen books stand next to each other?

1) 70
2) 165
3) 495
4) None of these

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MBA Other Question
The left most digit of an integer of length 2000 digit is 3. In this integer , any 2 consecutive digits must be divisible by 17 or 23. The 2000th digit may be either x or y. What is the values of x+y?

1) 6
2) 7
3) 8
4) 12
5) 5
 There are two Arithmetic Progressions A and B such that their nth terms are given by
An = 101 + 3(n – 1) and Bn = 150 + (n – 1), where n is the set of natural numbers. The first 50 terms
of A and B are written alternately i.e.
A1B1A2B2…..A50B50. What is the remainder when the number
so formed is divided by 11?

1) 0
2) 1
3) 9
4) 10