NDA I - Mathematics Question Paper 2014 - NDA MCQ

Which of the following statements are correct ?
1. A² = A
2.B² = B
3 .(AB)²=AB

Q. Select the correct answer using the code given below:

What is (1001 )₂ equal to ?

What is equal to, where 

Let z be a complex number such that |z| = 4 and arg z =

Q. WhereWhat is z equal to ?

If  x + iy, where then what is x equal to ?

If  are the roots of ax² +bx + c =  are the roots of px² +qx + r = 0, then what is h equal to ?

If the matrix A is such that then what is A equal to ?

Consider the following statements :

1. Determinant is a square matrix.
2. Determinant is a number associated with a square

Q. Which of the above statements is/are correct ?

If A is an invertible matrix, then what is det (A~^l) equal to ?

From the matrix equation AB=AC, Where A, B, C are the square matrices of same order, we can conclude B = C provided

If A =  is symmetric, th en w hat is x equal to ?

If then which one o f the following is correct ?

The function f : N → N , N being the set o f o f natural numbers, defined by f( x) = 2x + 3 is

What is equal to, where n is a natural number and

What is the number of ways in which one can post 5 letters in 7 letters boxes ?

What is the number of ways that a cricket team of 11 players can be made out of 15 players ?

A and B are two sets having 3 elements in common. Ifn(A) = 5, n(B) = 4, then what is n(A x B) equal to ?

If f (x) = a x + b and g(x) = cx+d such that f [g(x)] = g [f(x)] then which one of the following is correct?

If A and B are square matrices of second order such that | A | = - l , |B| = 3, then w hat is |3AB| equal to ?

Consider the function

What is f(2x) equal to ?

What is equal to ?

What is f(f(x)) equal to ?

Consider the expansion 

Q. What is the independent term in the given expansion ?

What is the ratio of coefficient o f x¹⁵ to the term independent of x in the given expansion ?

Consider the following statements:
1. There are 15 terms in the given expansion.
2. The coefficient o f x 12 is equal to the at of x³.

Q. Which of the above statements is/are correct ?

Consider the following statements:
1. The term containing x² does not exist in the given expansion.
2. The sum of the coefficients of all the terms in the given expansion is 2¹⁵.

Q. Which of the above statements is/are correct ?

What is the sum of the coefficients of the middle terms in the given expansion ?