MBA Exam

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

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MBA Other Question

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
what is the minimum value of sin^6 ( x ) + cos^6( x ) ?

1) 1/3
2) 1
3) 0
4) none