MBA Exam

Six friends – A, B, C, D, E and F – are to sit around a circular table on six chairs such that each of the friends is to sit exactly opposite to one of the rest five. If they choose their chairs randomly, what is the probability that A is sitting opposite to E?

1) 1/2
2) 1/6
3) 1/5
4) 1/4
5) None of these

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MBA Other Question

Let n! = 1 × 2 × 3 × … × n for integer n ≥ 1. If p = 1! + (2 × 2!) + (3 × 3!) + … + (10 × 10!), then p+2 when divided by 11! leaves a remainder ofCAT 2005

1) 10
2) 0
3) 7
4) 1
Let f(x) denote the square of the sum of the digits of x, f 2(x) denote the square of the sum of the digits of fof (x), f 3(x) denote the square of the sum of the digits of fofof (x) and so on. Find f 1000(11). 1. 6252. 1694. 2565. CBD

1) 1
2) 2
3) 3
4) 4