NDA Mathematics 2022 (II)
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 box contains 2 white balls, 3 black…
A card is drawn from a pack of…
A number x is chosen at random from…
A plane cuts intercepts 2, 2, 1 on…
An equilateral triangle is inscribed in a parabola…
There are two points P and Q due…
Consider the determinant Δ = | a₁₁ a₁₂…
Consider the equation of a spherex² + y²…
Consider the following: 1. A ∩ B =…
Consider the following statements: 1. If f is…
Consider the following statements: 1. The direction ratios…
Consider the following statements: 1. The set of…
Consider the following statements: 1. 2 + 4…
Consider the following statements: 1. The degree of…
Consider the following statements in respect of the…
Consider the following statements in respect of the…
Consider the points A(2, 4, 6), B(–2, –4,…
During war one ship out of 5 was…
Five coins are tossed once. What is the…
For how many quadratic equations, the sum of…
Consider the word ‘QUESTION’: How many 4-letter words…
Consider the word ‘QUESTION’: How many 8-letter words…
Consider the word ‘QUESTION’: How many 8-letter words…
How many four-digit natural numbers are there such…
A university awarded medals in basketball, football and…
A university awarded medals in basketball, football and…
A university awarded medals in basketball, football and…
If 1 + 2(sin x + cos x)(sin…
If P(3, 4) is the mid-point of a…
If P(A) = 0.5, P(B) = 0.7 and…
Let P be the sum of first n…
If d/dx [(1 + x⁴ + x⁸) /…
If different permutations of the letters of the…
If f(x) = (x² + x + |x|)…
If f(x) = 4x + 1 and g(x)…
If f(α) = √(sec²α – 1), then what…
If f(x) = ln(x + √(1 + x²)),…
If n > 7, then what is the…
Let f(x) be a function satisfying f(x +…
If ∫₀^{π/2} (sin⁴x + cos⁴x) dx = k,…
If X is a matrix of order 3×3,…
If sec x = 25/24 and x lies…
If y = (x^x)^x, then which one of…
If y = ln[(x² – x + 1)…
If y = x√(x² – 16)/2 – 8…
There are two points P and Q due…
In triangle ABC, a = 4, b =…
Let A = {7, 8, 9, 10, 11,…
Let R be a relation from N to…
Let a and b are two unit vectors…
Let a, b and c be unit vectors…
Let f(x) be a function such that f′(x)…
Let p, q (p > q) be the…
Let x be the mean of squares of…
Let z = (1 + i sinθ) /…
Let z = [y] and y = [x]…
PQRS is a parallelogram. If PR = a…
The base AB of an equilateral triangle ABC…
The centre of an ellipse is at (0,…
The centre of the circle passing through origin…
The coefficient of correlation between ages of husband…
The completion of a construction job may be…
The position vectors of vertices A, B and…
The probability that a person hits a target…
Three fair dice are thrown. What is the…
Three fair dice are tossed once. What is…
Two numbers x and y are chosen at…
Consider the binomial expansion of (p + qx)⁹…
Under which one of the following conditions does…
What are the values of x for which…
ABC is a triangular plot with AB =…
What is angle θ such that z is…
Let f(x) be a function satisfying f(x +…
Let f(x) be a function satisfying f(x +…
What is ∑(r=0 to n) 2ʳ C(n, r)…
What is ∫(cos x)^15 – (sin x)^15 /…
What is ∫(x²)(1 + ln x) dx equal…
What is ∫_{–π/2}^{π/2} e^{cos x} sin x +…
What is ∫e^x(1 + lnx + xlnx) dx…
What is ∫₀¹ ln(1/x – 1) dx equal…
Let A = | 0 sin²θ cos²θ |…
Let A = | 0 sin²θ cos²θ |…
What is angle θ such that z is…
What is cos36° − cos72° equal to?
ABC is a triangular plot with AB =…
What is lim (h→0) [sin²(x + h) –…
What is lim (x → 0) x /…
What is lim (x → π/2) (4x –…
Consider the following grouped frequency distribution: What is…
What is tan²(165°) + cot²(165°)?
What is tan⁻¹(cot(cosec⁻¹2)) equal to?
What is the area of the region (in…
What is the area of the region bounded…
What is the area of the region enclosed…
The mean and standard deviation (SD) of marks…
What is the diameter of a circle inscribed…
What is the differential equation of the family…
ABC is a triangular plot with AB =…
There are two points P and Q due…
What is the maximum value of 3(sin x…
Consider the following grouped frequency distribution: What is…
Consider the following grouped frequency distribution: What is…
Let A = | 0 sin²θ cos²θ |…
What is the minimum value of the function…
What is the probability of getting a composite…
Consider the binomial expansion of (p + qx)⁹…
Let P be the sum of first n…
Let P be the sum of first n…
What is the solution of the differential equation…
Let Δ be the determinant of a matrix…
What is the value of[cos(5π/17) + cos(7π/17) +…
Let Δ be the determinant of a matrix…
Let Δ be the determinant of a matrix…
What is the value of cosec(−73π/3)?
Consider the binomial expansion of (p + qx)⁹…
What is the value of sin(2nπ + 5π/6)…
What is the value of tan(3π/8)?
Where does the function f(x) = ∑ (x…
The mean and standard deviation (SD) of marks…
If A =| 1 0 0 || 0 cosθ sinθ || 0 sinθ −cosθ |…