NDA Mathematics 2020
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 and B are positive acute angles such…
A committee of 3 is to be formed…
A data set of n observations has mean…
A dealer has a stock of 15 gold…
A husband and wife appear in an interview…
Consider a random variable X which follows Binomial…
ABCD is a trapezium such that AB and…
Consider the following in respect of a non-singular…
Consider the following statements : 1.If ABC is…
Consider the following statements : 1. The function…
Consider the following statements : 1.If in a…
Consider the following statements for f(x) = e^{–|x|}…
Marks Physics Mathematics 10 – 20 8 10…
Consider the proper subsets of {1, 2, 3,…
For how many values of k, is the…
Read the following information and answer the two…
If (1 + 2x – x^2)^6 = a₀…
If 1.5 ≤ x ≤ 4.5, then which…
If 3x − 4y − 5 = 0…
If ∑xᵢ = 20, ∑xᵢ² = 200 and…
If A and B are two events such…
If A is a matrix of order 3…
If C(20, n + 2) = C(20, n…
If P(A ∪ B) = 5/6, P(A ∩…
If a line has direction ratios < a…
If a̅ × b̅ |² + a̅ ·…
If cot α and cot β are the…
If eᶿ = c + 4θφ, where c…
If f(x) = 2x – x², then what…
If f(x) = 3x² – 5x + p…
If f(x) = sin x / x, where…
Iflim (x → 1) (x⁴ − 1)/(x −…
If matrix A = [ 1 – i …
If p², q² and r² (where p, q,…
If p(x) = (4e)ˣ², then what is ∫…
If sin x + sin y = cos…
If tan θ = (cos 17° − sin…
If the circumference of the triangle formed by…
If the foot of the perpendicular drawn from…
If  is a unit vector in the…
Consider the following Venn diagram, where X, Y…
Consider the following Venn diagram, where X, Y…
If the vectors a̅ = 2î − 3ĵ…
If three dice are rolled under the condition…
If xᵐyⁿ = aᵐ⁺ⁿ, then what is dy/dx…
If x = logₐ(ab), y = log_b(bc), z…
In a lottery of 10 tickets numbered 1…
In the parabola, y² = x, what is…
Into how many compartments do the coordinate planes…
Let A = [ a h g b…
Let A = [ x + y 2 …
Let A be a point in space such…
Let ABC be a triangle. If D(2, 5)…
Let P(x, y) be any point on the…
Let S = {1, 2, 3, …},A relation…
Let X and Y represent prices (in ₹)…
Let l be the length and b be…
Let p, q and r be three distinct…
Let y = 3x² + 2. If x…
The arithmetic mean of 100 observations is 40.…
The center of the circle(x − 2a)(x −…
Marks Physics Mathematics 10 – 20 8 10…
The function u(x, y) = c which satisfies…
The number (1101101 + 1011011)₂ can be written…
The numbers 4 and 9 have frequencies x…
The order and degree of the differential equationk…
The point (1, −1) is one of the…
The radius of a circle is increasing at…
The roots α and β of a quadratic…
The solution of the differential equation dy =…
The sum of deviations of n number of…
The term independent of x in the binomial…
The value of ordinate of the graph of…
Three cooks X, Y and Z bake a…
Two adjacent sides of a parallelogram are2î −…
Under which condition, are the points (a, b),…
Let tₙ = sinⁿθ + cosⁿθ. What is…
Let a sin² x + b cos² x…
What is ∫ (elog x + sin x)…
What is ∫ dx / (x(xⁿ + 1))…
ABCD is a trapezium such that AB and…
What is lim (x → 0) (3ˣ +…
What islim (x → 1) [(x + x²…
What islim (x → 0) [sin x log(1…
Let a sin² x + b cos² x…
Let α = β = 15°. What is…
Let a sin² x + b cos² x…
Read the following information and answer the two…
What is the area of the region enclosed…
What is the argument of the complex number(1…
What is the derivative of tan⁻¹ x with…
What is the domain of the function f(x)…
What is the equation of the plane which…
What is the length of the diameter of…
What is the maximum number of points of…
What is the maximum value of sin x…
What is the minimum value of 3 cos…
Marks Physics Mathematics 10 – 20 8 10…
What is the minimum value of |x –…
Let tₙ = sinⁿθ + cosⁿθ. What is…
What is the modulus of the complex number(cos…
What is the number of ways in which…
What is the obtuse angle between the lines…
What is the perpendicular distance from the point…
What is the probability that February of a…
What is the solution of the differential equation…
What is the standard deviation of the observations…
What is the sum of the last five…
What is the value of cos 48° −…
What is the value of k such that…
Let α = β = 15°. What is…
Let α = β = 15°. What is…
What is the value of the determinant| i…
Let tₙ = sinⁿθ + cosⁿθ. What is…
What is the value of ∫₀^{π/4} (tan³x +…
What is the value of(1/10) log₁₀ 1024 –…
What is the value of8 cos 10° ·…
Consider the following Venn diagram, where X, Y…
What is(sin 3x + cos 3x + 4…
Which one of the following is correct in…