NDA Mock Test: Mathematics - 7 - NDA MCQ

If  then which one of the following is correct

If A = {4n + 2|n is a natural number} and B = {3n|n is a natural number}, then what is (A ∩ B) equal to 

If A, B and C are non-empty sets such that  then what is (A x B) ∩ (C x B) equal to

If A = {1, 2, 5, 6} and B = {1, 2, 3}, then what is (A x B) ∩ (B x A) equal to?

Let M be the set of men and R is a relation 'is son of defined on M. Then, R is

What is the value of 1 + i² + i⁴ + i⁶ + …. + i¹⁰⁰, where i =  ?

What is  equal to

What is the least positive integer n for which 

The number 0.0011 in binary system represents

The sum of the first 'n' terms of the series  ….. is 

In an AP, the mth term 1/n and nth term is 1/m. What is its (mn)th term

Which term of the sequence  the first negative term

Which of the following are the two roots of the equation (x² + 2)² + 8x² = 6x (x² + 2) 

For the two equations x² + mx + 1 = 0 and x² + x + m = 0, what is/are the value/values of m for which these equations have atleast one common root

If α, β are the roots of ax² + bx + b = 0, then what is  equal to

What is the number of words that can be formed from the letters of the word 'UNIVERSAL', the vowels remaining always together

What is the number of signals that can be sent by 6 flags of different colours taking one or more at a time

What is the maximum number of straight lines that can be drawn with any four points in a plane such that each line contains at least two of these points

What is the sum of all the coefficients in the expansion of (1 + x)ⁿ 

What is the sum of the coefficients of all the terms in the expansion of (45x – 49)⁴

What is the coefficient of x⁴ in the expansion of (1 + 2x + 3x² + 4x³ + …..)^1/2

If (log_xx) (log₃2x) (log_2xy) = log_xx², then what is the value of y?

Let  where i, j = 1, 2.  If its inverse matrix is [b_ij], then what is b₂₂ equal to

If X and Y are the matrices of order 2 x 2 each and 2X – 3Y and 3X + 2Y  hen what is Y equal to?

If a matrix, A is symmetric as well as anti-symmetric, then which one of the following is correct

The roots of the equation  are independent of

If y = sec²θ + cos²θ, where 0 < θ < π/2, then which one of the following is correct