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

• 275

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 2

3.

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

• 120

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

If m is the AMN of two distinct real numbers l and n (l,n>1) and G₁, G₂, and G3 are three geometric means between l and n, then  equals

• 4l² mn

• 4lm²n

• 4 lmn²

• 4 lmn²

The sum of first 9 terms of the series  is

• 71

• 96

• 142

• 142

The negation of  is equivalent to

If the angles of elevation of the top of a tower from three collinear points A, B and C on line leading to the foot of the tower are 30^o, 45^o and 60^o respectively, then the ratio AB: BC is 

The mean of the data set comprising of 16 observations is 16. If one of the observation value 16 is deleted and three new observations valued3,4 and 5 are added to the data, then the mean of the resultant data is

• 16.8

• 16.0

• 15.8

• 15.8