The total number of divisor of 480 that are of the form `4n+2,ngeq0,` is equal to a. `2` b. `3` c. `4` d. none of these

The total number of integral values of a so that x^2-(a+1)x+a-1=0 ha integral roots is equal to a. 1 b. 2 c. 4 d. none of these

In triangle A B C ,/_A=30^0,H is the orthocenter and D is the midpoint of B Cdot Segment H D is produced to T such that H D=D Tdot The length A T is equal to a. 2B C b. 3B C c. 4/2B C d. none of these

The total number of values a so that x^2-x-a=0 has integral roots, where a in Na n d6lt=alt=100 , is equal to a. 2 b. 4 c. 6 d. 8

The total number of solution of sin{x}=cos{x} (where {} denotes the fractional part) in [0,2pi] is equal to 5 (b) 6 (c) 8 (d) none of these

n is selected from the set {1, 2, 3,.............,100} and the number 2^n+3^n+5^n is formed. Total number of ways of selecting n so that the formed number is divisible by 4 is equal to (A) 50 (B) 49 (C) 48 (D) None of these.

The total number of solution of cosx=sqrt(1-sin2x) in [0,2pi] is equal to 2 (b) 3 (c) 5 (d) none of these

The total number of solution of |cotx|=cotx+1/(sinx),x in [0,3pi] , is equal to 1 (b) 2 (c) 3 (d) 0

The total number not more than 20 digits that are formed by usingd the digits 0, 1, 2, 3, and 4 is a. 5^(20) b. 5^(20)-1 c. 5^(20)+1 d. none of these

If a ,b ,c are three distinct positive real numbers, the number of real and distinct roots of a |x^2|+2b|x|-c=0 is a. 0 b. 4 c. 2 d. none of these

If ^n C_3+^n C_4>^(n+1)C_3 , then a. n >6 b. n >7 c. n<6 d. none of these