NDA Mathematics 2024 (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
26! = n⁸. What is max value of…
A bag contains 5 black and 4 white…
A line through (1, -1, 2) with direction…
ABC is a triangle such that angle C…
ABC is a triangle with A(3, 5). The…
ABC is an acute angled isosceles triangle. Two…
An edible oil is sold at the rates…
Consider the following in respect of moment of…
Consider the following statements in respect of a…
Consider the following statements in respect of a…
Consider the following statements in respect of two…
Consider the following statements: 1.In triangle ABC, if…
Consider the following statements: 1.f'(e) = 1/e 2.f(x)…
Let f(x)=|x| + 1 and g(x)=[x] − 1,…
Consider the following statements: 1.f(x) is increasing in…
For any three non-empty sets A, B, C,…
For any vector ~r, what is (~r ·î)(~r…
For what value of n is the determinant…
For x ≥ y > 1, let logₓ(x/y)…
Four digit numbers are formed by using the…
From data (-4, 1), (-1, 2), (2, 7)…
How many four-digit natural numbers are there such…
If (1, -1, 2) and (2, 1, 1)…
If (a, b) is the centre and c…
If ABC is a triangle, then what is…
If a random variable (x) follows binomial distribution…
If a variable line passes through the point…
If a vector of magnitude 2 units makes…
If a, b, and c (a > 0,…
If a, b, c are in A.P.; b,…
If a, b, c are in HP, then…
If a, b, c are the sides of…
If cos⁻¹ x = sin⁻¹ x, then which…
If dy/dx = x² + y³, y(0) =…
If f(x) = ax – b and g(x)…
If f(θ) = 1 / (1 + tanθ),…
If l, m, n are the direction cosines…
If logₐa = p, logc = 2p, loge…
If p is the perpendicular distance from origin…
If |(z₁ + z₂)/(z₁ – z₂)| = 1,…
If tanα and tanβ are roots of the…
If the 4th term in the expansion of…
If the direction cosines <l, m, n> of…
If the letters of the word “TIRUPATI” are…
If two random variables X and Y are…
If two sides of a square lie on…
If x² + mx + n is an…
If x, y, z are cube roots of…
If z is any complex number and i·z³…
If ω ≠ 1 is a cube root…
In a binomial expansion of (x + 1/x)ⁿ,…
In how many ways can they invite 3…
In the parabola y² = 8x, the focal…
In triangle ABC, AB = 16 cm, BC…
In triangle ABC, if sin² A + sin²…
Let A = {1, 2, 3, 4, 5}…
Let A = {x ∈ R: -1<x<1}. Which…
Let A and B be matrices of order…
Let ~a and ~b are two vectors of…
Let →a = î – ĵ + k̂…
Let R be a relation on the open…
Let m = 77n. The index n is…
Let p = ∫ₐᵇ f(x) dx and q…
Let x + 2y + 1 = 0…
Let y₁(x) and y₂(x) be two solutions of…
Roots: -√2, √3 in a₀ + a₁x +…
The differential equation, representing the curve y =…
A differentiable function f(x) has a local maximum…
The non-negative values of b for which the…
The number of points represented by the equation…
Three different numbers are selected at random from…
Triangle PQR: 3 points on PQ, 4 on…
Two points P and Q lie on line…
Under which one of the following conditions does…
What are the order and degree respectively of…
What is (1+i)4+ (1-i)4 equal to, where i=√-1?
What is √[15 + cot²(π/4 – 2 cot⁻¹3)]…
Let 3f(x) +f(1/x) = 1/x + 1 What…
What is ∫₀^{π/2} (a + sin x +…
Let f(x)=|x – 1|, g(x)= [x] and h(x)=…
Let f(x) and g(x) be two functions such…
Let 3f(x) +f(1/x) = 1/x + 1 What…
Let f(x) and g(x) be two functions such…
Let f(x)=|x| + 1 and g(x)=[x] − 1,…
What is sin 9° − cos 9° equal…
What is the coefficient of x¹⁰ in the…
What is the eccentricity of the ellipse if…
What is the equation to the straight line…
Let A and B be two events such…
A, B and C are three events such…
The marks obtained by 10 students in a…
What is the mean of the distribution?
Let A and B be two events such…
A, B and C are three events such…
What is the number of different matrices, each…
What is the number of solutions of (sinθ…
What is the number of solutions of log₄(x…
What is the remainder when 2¹²⁰ is divided…
Let f(x)=|x – 1|, g(x)= [x] and h(x)=…
What is ∫₁¹ (3sin x – sin 3x)cos²…
What is the sum of all four-digit numbers…
The circle x²+y2-2x = 0 is partitioned by…
The circle x²+y2-2x = 0 is partitioned by…
An unbiased coin is tossed n times. The…
An unbiased coin is tossed n times. The…
What is the value of sin10° × sin50°…
What is the value of α?
Let ∫ dx/√x+1=√x-1 = α(x+1)^3/2 + β(x-1)^3/2+c What…
What is the value of β?
Let ∫ dx/√x+1=√x-1 = α(x+1)^3/2 + β(x-1)^3/2+c What…
What is the value of √(3008 × 10°…
The marks obtained by 10 students in a…
What is Σxifi equal to?
Let φ'(a) = ∫ a+100x | sinx |dx…
Let ω'(a) = ∫ a+100x | sinx |dx…
What is tan⁻¹(a/b) – tan⁻¹((a – b)/(a +…
A differentiable function f(x) has a local maximum…
If A = [cos²θ 2sinθcosθ 0 0 cos²θ 2sinθcosθ 0 0 cos²θ], then which of the…
Which one of the following is correct in…
What is the value of tan65° + 2tan45°…