NDA Mathematics 2019 (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 and B are two events such that…
A circle is drawn on the chord of…
A fair coin is tossed and an unbiased…
A function f defined by f(x) = ln(√(x²…
A given quantity of metal is to be…
A is a square matrix of order 3…
A pair of fair dice is rolled. What…
A problem is given to three students A,…
A relation R is defined on the set…
Consider the following in respect of the differential…
Consider the following statements for the two non-empty…
Consider the following statements: 1.For an equation of…
Consider the following statements: 1.The algebraic sum of…
For r > 0, f(r) is the ratio…
From 6 programmers and 4 typists, an office…
From a deck of cards, cards are taken…
How many three-digit even numbers can be formed…
If [x -3i 1; y 1 i; 0…
∫₀^(π/2) |sin x − cos x| dx is…
∫₀^{π/2} sin^x cos x dx is equal to
If A = [0 1; 1 0], then…
If A = {a, b, c}, then the…
If A = {x ∈ Z : x²…
If A and B are two events such…
If A and B are two events, then…
If A is a square matrix of order…
If A is an identity matrix of order…
If A, B, C are three events, then…
If B = [3 2 0; 2 4…
If C(20, n + 2) = C(20, n…
If all the natural numbers between 1 and…
If a̅ = î − 2ĵ + 5k̂…
If cos A = 3/4, then what is…
If f(x) = (x – 2)/(x + 2),…
If f(x) = 3¹⁺ˣ, then f(x)f(y)f(z) is equal…
If f(x) = log₁₀(1 + x), then what…
If f(x) = sin(cos x), then f′(x) is…
If in a right-angled triangle ABC, hypotenuse AC…
If p = cosec θ − cot θ…
If sin 2θ = cos 3θ, where 0…
If sin α + cos α = p,…
If sin θ + cos θ = √2…
If sin θ = –1/2 and tan θ…
If sin⁻¹(2p / (1 + p²)) − cos⁻¹((1…
If tan θ = 1/2 and tan φ…
If the angles of a triangle ABC are…
If the lines 3y + 4x = 1,…
If the position vectors of points A and…
If the roots of the equation x² +…
If two fair dice are rolled then what…
If two variables X and Y are independent,…
If y = a cos 2x + b…
In a circle of diameter 44 cm, the…
In eight throws of a die, 5 or…
In the expansion of (1 + axⁿ), the…
It is given that cos (θ – α)…
Let X be a non-empty set and let…
Let the correlation coefficient between X and Y…
Suppose X = {1, 2, 3, 4} and…
lim (x→0) [(1 − cos³ 4x)/x²] is equal…
The angle of elevation of a tower of…
The centroid of the triangle with vertices A(2,…
The circle x² + y² + 4x −…
The common roots of the equations x² +…
The differential equation of the system of circles…
The distance between the parallel planes 4x −…
The domain of the function f defined by…
The domain of the function f(x) = √(2…
The equation 2x² − 3y² − 6 =…
The equation of the plane passing through the…
The equation px² + qx + r =…
The mean of 100 observations is 50 and…
The minimum distance from the point (4, 2)…
The number of real roots for the equation…
The numbers 1, 5 and 25 can be…
The points (1, 3) and (5, 1) are…
The sine of the angle between vectors a̅…
The solution of the differential equation dy/dx =…
The straight lines x + y − 4…
tan 54° can be expressed as
The sum of (p + q)ᵗʰ and (p…
The sum of the focal distances of a…
The two parabolas y² = 4ax and x²…
The value of k which makes f(x) =…
There are 10 points in a plane. No…
There are n socks in a drawer, of…
Two cards are chosen at random from a…
Two independent events A and B are such…
Two symmetric dice flipped with each dice having…
What are the direction cosines of z-axis?
What are the roots of the equation |x²…
In a school, all the students play at…
In a school, all the students play at…
What is (1 + tan α · tan…
Let A and B be (3 x 3)…
It is given that cos (θ – α)…
Let A and B be (3 x 3)…
What is the area of one of the…
What is ∫ e^{x ln(a)} dx equal to?
What is ∫ ln(x²) dx equal to?
What is the derivative of sec²(tan⁻¹ x) with…
What is the equation of the straight line…
What is the fourth term of an AP…
What is the general solution of the differential…
What is the least value of 25 cosec²…
What is the minimum value of a²x +…
A complex number is given by z =…
What is the number of terms in the…
What is the nᵗʰ term of the sequence…
A complex number is given by z =…
What is the probability that an interior point…
What is the radius of the sphere x²…
If p = X cos 0- Y sin…
If p = X cos 0- Y sin…
What is the value of cos 46° ·…
What is the value of sin⁻¹(4/5) + sec⁻¹(5/4)…
What is the value of tan 75° +…
What is the value of λ for which…
If p = X cos 0- Y sin…
What is the value of sin34∘ cos236∘ −…