NDA questions
2204 published questions with worked solutions.
- Let S be a set of all distinct numbers of the form p q , where p, q 1, 2, 3, 4, 5, 6 . What is the cardinality of the set S?
- If c>0 and 4a+c<2b, then ax^2-bx+c=0 has a root in which one of the following intervals?
- If A= x R : x^2+6x-7<0 and B= x R : x^2+9x+14>0 , then which of the following is/are correct? 1. A B= x R : -2<x<1 2. A B= x R :...
- If A is a square matrix of order 3 and A=5, then what is [(2A)^ -1 ] equal to?
- What is ^ 100 + ^ 200 + ^ 300 equal to, where is the cube root of unity?
- If Re ( z-1 z+1 )=0, where z=x+iy is a complex number, then which one of the following is correct?
- What is [x y z] bmatrix a&h&g &b&f &f&c bmatrix equal to?
- Out of 15 points in a plane, n points are in the same straight line. 445 triangles can be formed by joining these points. What is...
- If z= ( 3 2 + i 2 )^ 107 + ( 3 2 - i 2 )^ 107 , then what is the imaginary part of z equal to?
- If both the roots of the equation x^2-2kx+k^2-4=0 lie between -3 and 5, then which one of the following is correct?
- What is the number of distinct solutions of the equation z^2+|z|=0 (where z is a complex number)?
- How many geometric progressions is/are possible containing 27, 8 and 12 as three of its/their terms?
- Let R be a relation from A= 1, 2, 3, 4 to B= 1, 3, 5 such that R= (a, b) : a<b, where a A and b B . What is R R^ -1 equal to?
- A five-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3 and 4 without repetition of digits. What is the...
- If m= bmatrix 1&0 0&1 bmatrix and n= bmatrix 0&1 -1&0 bmatrix , then what is the value of the determinant of m -n ?
- If f(x)= bmatrix x&- x&0 x& x&0 0&0&1 bmatrix , then which of the following are correct? 1. f( ) f( )=f( + ). 2. The value of the...
- Which of the following is correct in respect of the system of equations x+y+z=8, x-y+2z=6 and 3x-y+5z=k? 1. They have no...
- If A= bmatrix 1&-1 2&3 bmatrix and B= bmatrix 2&3 -1&-2 bmatrix , then which of the following is/are correct? 1. AB(A^ -1 B^ -1 )...
- If x^ ( y z ) y^ (xz)^2 z^ ( x y ) =y^ 4 y for any x>1, y>1 and z>1, then which one of the following is correct?
- What is 1+ ^2 1+ equal to, where is the cube root of unity?
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