Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set A x B, each having at least three elements is:

• 219

• 256

• 275

• 510

A complex number z is said to be unimodular, if |z|= 1. suppose z₁ and z₂ are complex numbers such that  is unimodular and z₂ is not unimodular. Then, the point z₁ lies on a

• straight line parallel to X -axis

• straight line parallel to Y -axis

• circle of radius 2

• circle of radius 

Let α and  β be the roots of equations x²-6x-2 = 0. If a_n =αⁿ- βⁿ, for n≥1, the value of a₁₀-2a₈/2a₉ is equal to 

• 6

• -6

• 3

• -3

The number of integers greater than 6000 that can be formed, using the digits 3,5,6,7 and 8 without repetition, is

• 216

• 192

• 120

• 72

The sum of coefficients of integral powers of x in the binomial expansion of  is

• 
• 
• 
• 

A.

Let T_r+1 be the general term in the expansion of 

For the integral power of x, r should be even integer,
therefore, sum of coefficients=