MBA Exam

If the sum of all integers between 3^n and 3^(n+3)(both exclusive) is divisible by 70 where n is a positive integer, which of the following is true about n?

1) n is divisible by 4
2) n is multiple of 6
3) n is divisible by 7
4) n is divisible by 5

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MBA Other Question

Two containers contain equal quantities of milk and water respectively. Half the contents of the first are poured in the second and then the same is transferred back into the first container. This is done three times. What is the ratios of milk to water in the two containers at the end of the process?

1) 5:2, 2:5
2) 5:4, 4:5
3) 14:13, 13:14
4) 11:13, 13:11
5) none of these
Salman Khan wants to express some numbers as a difference of two perfect squares in only one way. How many numbers below 100 can he express according to his silly wish ?Approach please

1) 25
2) 35
3) 26
4) 36
5) 34