NDA Mathematics 2022 (I)
Attempt this free UPSC mock test for Mathematics. Part of the SaralUPSC Free UPSC Test Series 2025. Practice, analyze, and boost your score!
Questions
A radioactive substance decays at a rate proportional…
A straight line passes through the point of…
A vertical tower stands on a horizontal plane…
Consider all the subsets of the set A…
Consider the following in respect of the function…
Consider the following in respect of the matrices:…
Consider the following statements : 1.Dot product over…
Consider the following statements : 1.n!/3 is divisible…
Consider the following statements in respect of any…
Consider the following statements in respect of square…
Consider the following statements in respect of the…
Consider the following statements in respect of the…
Consider the following statements in respect of the…
Consider the following statements in respect of two…
Consider the following statements in respect of two…
Consider the inequations 5x – 4y + 12…
For what value of k is the matrix…
How many extreme values does sin 4x +…
How many odd numbers between 300 and 400…
How many permutations are there of the letters…
How many terms are there in the expansion…
If (1 + tan θ)(1 + tan 9θ)…
If (a + b)/2, b, (b + c)/2…
If (a − b)(b − c)(c − a)…
If 3sin^(-1) x + cos^(-1) x = π,…
If 4f(x) – f(1/x) = (2x + 1/x)(2x…
If 4î + j – 3k̂ and pî…
If A = [ 2sinθ cosθ 0 ]…
If A = {1, 2, 3}, then how…
If A is the identity matrix of order…
If C(3n, 2n) = C(3n, 2n−7), then what…
If I₁ = ∫ (e^x dx) / (e^x…
If a, b, c are in GP where…
If dy/dx = (ln 5)y with y(0) =…
If f(x) = 4x + 3, then what…
If one of the diameters of the circle…
The plane 6x + ky + 3z −…
If tan (π/2) + tan^(-1) (x/3) = π/4,…
If tan α + tan β = 1…
If â, b̂, ĉ are the position vectors…
If tan θ = -5/12, then what can…
If tan(45° + θ) = 1 + sin…
If the 5th term of an AP is…
If the algebraic sum of the deviations of…
If the derivative of the function f(x) =…
The total frequency is 120. The mean is…
If the point (x, y) is equidistant from…
If the points with coordinates (−5, 0), (5p²,…
If the roots of the equation x² −…
If the sum of the first 9 terms…
If x^3 + y^3 = (10001011)2 and x…
If xy = 4225 where x, y are…
If xʸyˣ = 1, then what is dy/dx…
If y = (x^x)^x, then what is the…
If Δ₁ = | 1 p q |…
In a triangle ABC, sin A – cos…
If α + β = π/4 and 2…
In how many ways can a team of…
In the expansion of (x + 1/x)^2n, what…
In which one of the following intervals is…
Let A and B be non-singular matrices of…
Let A be a non-singular matrix and B…
Let a, b, c be the lengths of…
Let sin 2θ = cos 3θ, where θ…
Let y = [x + 1], -4 <…
Let â and b̂ be two unit vectors…
Let â, b̂, ĉ be three non-zero vectors…
Let α and β (α > β) be…
Let α and β be the roots of…
Let α and β be the roots of…
The algebraic sum of the deviations of a…
The algebraic sum of the deviations of a…
The frequency curve (assuming unimodal) corresponding to the…
The area of the region bounded by the…
The incidence of suffering from a disease among…
The incidence of suffering from a disease among…
The incidence of suffering from a disease among…
The marks obtained by 51 students in a…
The marks obtained by 51 students in a…
The marks obtained by 51 students in a…
The plane 6x + ky + 3z −…
The shadow of a tower becomes x metre…
The total frequency is 120. The mean is…
The variance of five positive observations is 3.6.…
There are 90 applicants for a job. Some…
There are 90 applicants for a job. Some…
There are 90 applicants for a job. Some…
Two digits out of 1, 2, 3, 4,…
Under which one of the following conditions are…
Under which of the following conditions does the…
What are the direction ratios of a normal…
What does the equation x dy/dx − 2y…
What is (11011)2 + (10111)2 equal to ?
What is lim (x³ − 1) / √(x…
What is lim x³ (cosec x)² as x…
What is sin^2(π/4 + θ) – sin^2(π/4 –…
What is the area included in the first…
What is ∫(sin x)^(-1/2)(cos x)^(-3/2) dx equal to?
What is ∫_{-2}^{-1} x / |x| dx equal…
What is ∫₀^{π/4} dx / (sin x +…
What is the arithmetic mean of 50 terms…
What is the coefficient of mean deviation of…
What is the degree of the differential equation…
What is the distance between the foci of…
What is the domain of the function f(x)…
What is the equation of the circle which…
The plane 6x + ky + 3z −…
What is the equation of the locus of…
What is the equation of the parabola with…
What is the equation of the straight line…
What is the maximum value of n such…
What is the maximum value of the function…
What is the modulus of (√-3 – 1)/(2…
What is the principal argument of 1/i where…
What is the value ofC(51, 21) − C(51,…
What is the value of cos^4 7π/8 +…
The total frequency is 120. The mean is…
What is the value of sin 0° +…
What is the value of2(2×1) + 3(3×2×1) +…
What is value of cot^2 15° + tan^2…