MBA Exam

If S be a set of all 2 digit numbers which can be expressed as the product of 2 distinct primes then how many numbers in S will have exactly 14 coprimes less than the number

1) 0
2) 1
3) 2
4) 3

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MBA Other Question

Seven children A, B, C, D, E, F and G started walking from the same point at the same time, with speeds in the ratio of 1 : 2 : 3 : 4 : 5 : 6 : 7 respectively and they are running around a circular park. Each of them was carry flags of different colours. Whenever two or more children meet then they place their respective flag at that point, however nobody places more than 1 flag at a same point. They are running in anti-clockwise direction. How many flags will be there in total, when there will be no scope of putting more flags?

1) 48
2) 56
3) 72
4) 64
what is the tens digit of 2^2001 ?

1) 5
2) 2
3) 4
4) 8