Question Library
Browse our collection of questions across various subjects
General Ability
Easy
View
In this question has a sentence with three underlined parts labelled (a), (b) and (c). Read each sentence to find…
NDA General Ability 2018
NDA 2018
Mathematics
Easy
View
Let matrix B be the adjoint of a square matrix A, I be the identity matrix of same order as…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
The sum of the binary numbers (11011)₂, (10110110)₂ and (10011×10)₂ is the binary number (101101101)₂. What are the values of…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
Consider the following in respect of matrices A, B and C of same order : 1. (A + B +…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
Suppose f(x) is such a quadratic expression that it is positive for all real x.If g(x) = f(x) + f′(x)…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
Let Tᵣ be the rth term of an AP for r = 1, 2, 3, … If for some distinct…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
Let A = {x ∈ R : –1 ≤ x ≤ 1}, B = {y ∈ R : –1 ≤…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
Let the coefficient of the middle term of the binomial expansion of (1 + x)²⁰ be α and those of…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
If u, v and w (all positive) are the pth, qth and rth terms of a GP, then the determinant…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
Which one of the following is correct in respect of the cube roots of unity ?
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
The system of equations2x + y – 3z = 5,3x – 2y + 2z = 5,5x – 3y – z…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
What should be the value of x so that the matrix [2 4; –8 x] does not have an inverse…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
If a + b + c = 0, then one of the solutions of | a–x b c || b…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
If A and B are two invertible square matrices of same order, then what is (AB)⁻¹ equal to ?
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
There are 17 cricket players, out of which 5 players can bowl. In how many ways can a team of…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
What is the value of((–1 + i√3)/2)³ⁿ + ((–1 – i√3)/2)³ⁿwhere i = √–1 ?
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
What is the adjoint of the matrix[ cos(–θ) –sin(–θ) ][ –sin(–θ) cos(–θ) ]
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
Which one of the following factors does the expansion of the determinant| x² 5y³ 9 || x³ z² y ||…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
View
For a square matrix A, which of the following properties hold ? 1. (A⁻¹)⁻¹ = A 2. det(A⁻¹) = 1/det…
NDA Mathematics 2018
NDA 2018