NDA Mathematics 2021 (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 24 cm long wire is bent to…
A chord subtends an angle 120° at the…
A coin is tossed twice. If E and…
A ladder 6 m long reaches a point…
A parallelogram has three consecutive vertices (–3, 4),…
A particle starts from origin with a velocity…
A vector r = ai + bj is…
Consider the following in respect of a complex…
Consider the following measures of central tendency for…
Consider the following statements in respect of a…
Consider the following statements in respect of an…
Consider the following statements in respect of the…
Consider the following statements in respect of the…
Consider the following statements: 1.A = {1, 3,…
Consider the following statements: 1. The null set…
Consider the following statements: 1.A function f :…
Consider the following statements: 1.If each term of…
Consider the following with regard to eccentricity (e)…
For a histogram based on a frequency distribution…
For which of the following sets of numbers…
How many 5-digit prime numbers can be formed…
How many matrices of different orders are possible…
If 3 cosθ = 4 sinθ, then what…
If 7 sinθ + 24 cosθ = 25,…
If A and B are square matrices of…
If A and B are two events such…
If A and B are two matrices such…
If A, B and C are in AP,…
If C₀, C₁, C₂, …, Cₙ are the…
If a + b + c = 4…
If a and b are two vectors such…
If a differentiable function f(x) satisfieslim (x→1) [f(x)…
If a, b and c are coplanar, then…
If any point on a hyperbola is (3…
If a₁, a₂, a₃, …, a₉ are in…
If f(x + 1) = x² – 3x…
If f(x) = e^|x|, then which one of…
If 1 x x+1f(x) = ──────────────────────────────── 2x x(x – 1) x(x + 1) 3(x –…
If k is one of the roots of…
If l, m, n are the direction cosines…
If M is the mean of n observations…
If P(A ∪ B) = 5/6, P(A ∩…
If Z = 1 + i, where i…
Iflim (x → a) (x^a − a^x) /…
If n = 100!, then what is the…
If one root of 5x² + 26x +…
If tan A = 1/7, then what is…
If tan x = -3/4 and x is…
If the determinant | x 1 3 | | 0…
If the first term of an AP is…
If the functionf(x) = a + bx, x…
If the general solution of a differential equation…
If the image of the point (–4, 2)…
If the lines y + px = 1…
If the mean of a frequency distribution is…
If the mode of the scores 10, 12,…
If the roots of the quadratic equation x² +…
If x + y = 20 and P…
If x = e^t cos t and y…
If x², x, –8 are in AP, then…
If Δ is the value of the determinant |…
If α and β are the roots of…
If∫[0 to a] (f(x) + f(a − x))…
In a binomial distribution, the mean is 2…
In how many ways can a team of…
Let R be a relation defined as xRy…
Let two events A and B be such…
Let x be the HM and y be…
Let A = | p q | | r s…
The average of a set of 15 observations…
The coefficient of correlation is independent of
The curve y = −x³ + 3x² +…
The element in the ith row and the…
The equation sin⁻¹x − cos⁻¹x = π/6 has
The following table gives the frequency distribution of…
The foot of the perpendicular drawn from the…
The geometric mean of a set of observations…
The mean of 12 observations is 75. If…
The number of integer values of k, for…
tan⁻¹x + cot⁻¹x = π/2 holds, when
The numbers of Science, Arts and Commerce graduates…
The point of intersection of diagonals of a…
The shadow of a tower is found to…
The sides of a triangle are m, n…
The smallest positive integer n for which (1 –…
The third term of a GP is 3.…
The value of x, satisfying the equation log₍cos x₎…
What is (1 + cotθ − cosecθ)(1 + tanθ…
What is C(n, 1) + C(n, 2) +…
What is cot 2x cot 4x − cot 4x…
What islim (x → −1) (x³ + x²)…
What is the acute angle between the lines…
What is the angle between the two lines…
What is the area bounded by y =…
What is the area of the triangle ABC…
What is the coefficient of the middle term…
What is the degree of the following differential…
What is the derivative of e^(x²) with respect…
What is ∫(e^(2 ln x + ln x²))…
What is (1 + tan²θ − (1 − tanθ)²)…
What is the derivative ofsin(ln x) + cos(ln…
What is the domain of the function f(x)…
What is the interior angle of a regular…
What is the maximum value of sin 2x…
What is the modulus of the complex number…
What is the number of possible values of…
What is the projection of the line segment…
What is the radius of the circle 4x²…
What is the solution of the following differential…
What is the sum of deviations of the…
What is the sum of the coefficients of…
What is the value of the following? tan 31°…
What is the value of the following? (sin 24°…
What is the value of the following? cosec(7π/6) sec(5π/3)
What is∫ dx / (sec x + tan…
What is∫ dx / sec²(tan⁻¹ x)equal to?
What is∫[0 to a] (f(a − x) /…
Which of the following statements are not correct:…
Which one of the following differential equations has…
With the numbers 2, 4, 6, 8, all…