The largest number that exactly divides each number of the sequence `1^5-1,\ 2^5-2,\ 3^5-3, doth^5-n , ddot\ ` is 1 (b) 15 (c) 30 (d) 120

The largest number that exactly divides each number of the form n^3 - n , where n is a natural number , is :

The largest number in the sequence 1, 2^(1/2), 3^(1/3), 4^(1/4),..., n^(1/n) is a. 2^(1/2) b. 3^(1/3) c. 5^(1/5) d. 6^(1/6)

The mean of 5 numbers is 4. If 1 is added to each number , then the new mean is (a) 4 (b) 5 (c) 3 (d) 5.5

A number when divided by 2,3 and 5 gives remainder 1. the number is

The probability that a number selected at random from the numbers 1,2,3, ; 15 is a multiple of 4, is (4)/(15) (b) (2)/(15) (c) (1)/(5) (d) (1)/(3)

(2^(-1)+3^(-1)+5^(-1))^(0) is equal to (a) 2 (b) 3 (c) 5 (d) 1

In the following number sequence, how many such even numbers are there which are exactly divisible by its immediate preceding number but not exactly divisible by its immediate following number ? 3 8 4 1 5 7 2 8 3 4 8 9 3 9 4 2 1 5 8 2 1) 1 2) 2 3) 3 4) 4 5) None of these