The least natural numbers having 20 divisor is (A) 240 (B) 300 (C) 180 (D) none of these

The HCF of first 100 natural numbers is (a) 2 (b) 100 (c) 1 (d) None of these

If n(B)=2 and the number of functions from A and B which are onto is 30, then number of elements in A is (A) 4 (B) 5 (C) 6 (D) none of these

There are 10 points in a plane of which no three points are collinear and four points are concyclic. The number of different circles that can be drawn through at least three points of these points is (A) 116 (B) 120 (C) 117 (D) none of these

The number of ways in which a mixed double game can be arranged from amongst 5 maried couples if at least one husband and wife play in the same game (A) 200 (B) 140 (C) 60 (D) none of these

If n(A)=2 and total number of relations from A to B is 1024, then number of elements in B is (A) 4 (B) 5 (C) 6 (D) none of these

If the number of words of 4 letters formed with n different letters of an alphabet such that at least on letter is repeated in the word is 936, then n= (A) 4 (B) 5 (C) 6 (D) none of these

In any triangle ABC, the least valeu of (sin^2A+sinA+1)/(sinA)is (A) 3 (B) sqrt(3) (C) 9 (D) none of these

If |z|ge5 then the least value of |z+ 2/z| is (A) 23/5 (B) 24/5 (C) 5 (D) none of these

The smallest natural number is (a) 0 (b) 1 (c) -1 (d) None of these

A number is said to be a nice number if it has exactly 4 factors (includng 1 and the number itself). Then number of divisor of 2520 which are nice numbers is (A) 7 (B) 8 (C) 9 (D) none of these