NDA Mathematics 2023 (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 fair coin is tossed 6 times. What…
A function is defined by f(x) = π…
A function is defined by f(x) = π…
A function satisfies f(x – y) = f(x)…
A parabola passes through (1, 2) and satisfies…
A parabola passes through (1, 2) and satisfies…
A point P lies on the line joining…
A quadratic equation is given by (a +…
A set S contains (2n + 1) elements.…
A, B, C and D are mutually exclusive…
Consider equation-I: z³ + 2z² + 2z +…
Consider the equation (1 – x)⁴ + (5…
Consider the following in respect of the circle4x²…
Consider the following in respect of the equationx²/(24…
Consider the following in respect of the vectorsa…
Consider the following statements: 1. The relation f…
Consider the following statements: 1. A = (A…
Consider the following statements in respect of hyperbolax²/cos²θ…
Let p = (1/3) × (tan 3x /…
For what values of k is the line(k…
Given that 16p² + 49q² – 4r² –…
Given that 4x² + y² = 9. What…
Given that 4x² + y² = 9. What…
If (a + b), 2b, (b + c)…
If (a × b)² + (a · b)²…
If 1! + 3! + 5! + 7!…
If 3x + y – 5 = 0…
If A = [1 2 3]^T, then what…
If A =[ 0 3 4–3 0 5–4…
If A =[ 1 0 00 1 00…
If A =[ 2 0 00 3 00…
If A =[ 2 –1 0–1 3 01…
If A, B and C are square matrices…
If Aₖ =[ k – 1 kk –…
If H is the Harmonic Mean of three…
If all elements of a third order determinant…
If f(x) = |ln|x|| where 0 < x…
If f′(x) = cos(ln x) and y =…
If k = c, then the roots of…
If| x² + 3x x – 1 x…
If L is the line with direction ratios…
If X̄ = 20 is the mean of…
If r is the coefficient of correlation between…
If sec⁻¹p – cosec⁻¹q = 0, where p…
If tan α = 1/7, sin β =…
If tan(π cos θ) = cot(π sin θ),…
Let f(x) = [ ax(x + 1) + b,…
If the mean and the sum of squares…
If the nth term of a sequence is…
If z * z̅ = |z + z̅|,…
If θ is the angle between vectors a…
In a Binomial distribution B(n, p), n =…
In a class, there are n students including…
Let (1 + x) = 1 +T₁x +…
Let (1 + x) = 1 +T₁x +…
Let (1 + x) = 1 +T₁x +…
Let A = {1, 2, 3, …, 20}.…
Let A be a skew-symmetric matrix of order…
Let a function f be defined on ℝ…
Let a function f be defined on ℝ…
Let I = ∫ from −2π to 2π…
Let I = ∫ from −2π to 2π…
Let a₁, a₂, a₃ … be in AP…
Let a₁, a₂, a₃ … be in AP…
Let f(x) = (a^x−1 + b^x−1)/2 and g(x)…
Let f(x) = (a^x−1 + b^x−1)/2 and g(x)…
Let f(x) = x2 -1 and gof(x) =…
Let f(x) = x2 -1 and gof(x) =…
Let f(x) = √(2 − x) + √(2…
Let f(x) = √(2 − x) + √(2…
Let f(x) = ⌊x⌋ and g(x) = ⌊x⌋…
Let f(x) = ⌊x⌋ and g(x) = ⌊x⌋…
Let p = cos(π/5) × cos(2π/5) and q…
Let p = cos(π/5) × cos(2π/5) and q…
Let sin x + sin y = √3…
Let sin x + sin y = √3…
Let t₁, t₂, t₃ … be in GP.…
Suppose that there is a chance for a…
The angles A, B and C of a…
The angles A, B and C of a…
The Cartesian product A × A has 16…
A function is defined byf(x) = | x…
A function is defined byf(x) = | x…
The line x + y = 4 cuts…
The points (–a, –b), (0, 0), (a, b)…
The probability that a person recovers from a…
The sum of deviations of n numbers from…
The value of the determinant of a matrix…
The vectors 60i + 3j, 40i – 8j…
Three dice are thrown. What is the probability…
Two dice are thrown. What is the probability…
Two distinct natural numbers from 1 to 9…
What are the order and the degree respectively…
What is 1 + sin²(cos⁻¹(3 / √17)) equal…
What is 2 cot(½ cos⁻¹(√5 / 3)) equal…
Let f(x) = [ ax(x + 1) + b,…
Let p = (1/3) × (tan 3x /…
What is the angle between the lines2x +…
What is the area between the curve f(x)…
What is ∫ from 0 to 8π |sin…
What is the differential equation of all parabolas…
What is the equation of directrix of parabolay²…
What is the equation of the sphere concentric…
What is the length of projection of the…
What is the maximum number of points of…
What is the mean of the numbers 1,…
What is the number of common roots of…
What is the probability that P and Q…
What is the probability that Q and U…
What is the probability that all three boys…
What is the probability that boys and girls…
What is the probability that no two girls…
What is the sum of all the roots…
What is the sum of the intercepts of…
Let f(x) = [ (x − 3)/|x − 3|…
Let f(x) = [ (x − 3)/|x − 3|…
What is the value of √(12 + 5i)…
Which one of the following is a root…
Which one of the following is a square…
Which one of the planes is parallel to…