MBA Exam

Let N be the largest integer divisible by all positive integers less than its cube root. The number of divisors of N are

1) 16
2) 24
3) 18
4) None of these

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MBA Other Question

What is the highest possible value of 'n' for which 3^1024 -1 is divisible by 2^n

1) 13
2) 10
3) 11
4) 12
I. The remainder when 28! is divided by 62 is 46 II. Let N be a positive integer such that N when divided by 9, 10, and 11 leaves remainder as 4, 5, and 6 respectively. The remainder when N^3 + 2N^2 - N - 3 is divided by 60 is 47.Which of the above two statement(s) is/are true?

1) Only I
2) Only II
3) I and II
4) None of these