If `a,b,cepsilon N` then number of points having positions vector `aveci+bvecj+cveck ` such that 5`lea+b+cle10` is (A) 120 (B) 116 (C) 100 (D) none of these

If a,b,c epsilon N the number of points having vector aveci+bvecj+cveck such that 6lea+b+cle10 is (A) 90 (B) 110 (C) 105 (D) 200

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

The HCF of first 100 natural numbers is 2 (b) 100 (c) 1 (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 are 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 terms in te expansion of (1+5x+10x^2+10x^3+x^5)^20 is (A) 100 (B) 101 (C) 120 (D) none of these

The number of points having position vector a hat i + b hat j + c hatk , where 1 leq a,b,cleq10 and a,b,c in N, such that 2^a + 3^b+5^c is a multiple of 4 is (A) 1000 (B) 500 (C) 250 (D) 125

A,B,C and D have position vectors a,b,c and d, respectively, such that a-b=2(d-c). Then,

If SUN = 108, MOON = 114 what is STAR = ? (A) 120 (B) 116 (C) 122 (D) 128

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