NDA Mathematics 2017 (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 committee of two persons is selected from…
A cylindrical jar without a lid has to…
A force F⃗ = i⃗ + 3j⃗ +…
A function is defined as follows :f(x) =…
A function is defined in (0, ∞) byf(x)…
A man running round a racecourse notes that…
A person is to count 4500 notes. Let…
A tea party is arranged for 16 people…
A variable plane passes through a fixed point…
Angle α is divided into two parts A…
Consider the following statements : 1. dy/dx at…
Consider the following : 1. x + x^2…
Consider the following statements : 1. Derivative of…
Consider the following statements :Statement I : x…
Consider the following statements: 1. Coefficient of variation…
Consider the following statements : 1. Variance is…
Five sticks of length 1, 3, 5, 7…
For any vector a⃗|a⃗ × i⃗|² + |a⃗…
√(1 + sin A) = -(sin(A/2) + cos(A/2))…
∫(lnx)⁻¹ dx – ∫(lnx)⁻² dx is equal to
For two events A and B, let P(A)…
Geometrically Re(z^2 – i) = 2, where i…
Given that the arithmetic mean and standard deviation…
How many different permutations can be made out…
If 1.3 + 2.3² + 3.3³ + ……
If A = [-2 2; 2 -2], then…
If A = [4i-6 10i] [14i 6+4i] and k =…
If A = {x : x is a…
V
If E is the universal set and A…
If a variable takes values 0, 1, 2,…
If a, b, c are non-zero real numbers,…
If a⃗ and b⃗ are two unit vectors,…
If f(x) = (4x + x^4)/(1 + 4x^3)…
If f(x) = (x/2) – 1, then on…
If f(x) = x(√x – √x + 1),…
If lim x→π/2 (sin x / x) =…
If p + q + r = a…
If |a| denotes the absolute value of an…
If |z – 4/z| = 2, then the…
If P(B) = 3/4, P(A ∩ B ∩…
If Sₙ = nP + n(n-1)Q/2, where Sₙ…
If the angle between the lines whose direction…
If the vectors ai + j + k,…
If we define a relation R on the…
If x + log₁₀(1 + 2ˣ) = x…
If x is any real number, then (x^2)/(1+x^4)…
If x₁ and x₂ are positive quantities, then…
If y = (cos x)^(cos x)^(cos x)… ,…
If y = cos^-1(2x/(1+x^2)), then dy/dx is equal…
If y = sec^-1((x+1)/(x-1)) + sin^-1((x-1)/(x+1)), then dy/dx…
If y = x + x² + x³…
If α and β are the roots of…
If α and β are the roots of…
If α, β and γ are the angles…
In a binomial distribution, the mean is 2/3…
In a multiple-choice test, an examinee either knows…
In a triangle ABC, a – 2b +…
In the expansion of (1+x)⁵⁰, the sum of…
In △PQR, ∠R = π/2. If tan(P/2) and…
In triangle ABC, if (sin²A + sin²B +…
It is given that X̄ = 10, Ȳ…
It is given that the roots of the…
Let A and B be two events with…
Let a die be loaded in such a…
Let a⃗ = i⃗ + 2j⃗ – k⃗,…
Let f(n) = ⌊1/4 + n/1000⌋, where ⌊x⌋…
Let g be the greatest integer function. Then…
Let the sample space consist of non-negative integers…
Match List-I with List-II and select the correct…
The adjoint of the matrix A = [1…
The angle between the lines x + y…
The angle of elevation of a stationary cloud…
The angles of elevation of the top of…
The area bounded by the curve |x| +…
The coefficient of correlation when coefficients of regression…
The differential equation of minimum order by eliminating…
The distance of the point (1, 3) from…
The equation of a straight line which cuts…
The equation of the circle which passes through…
The equation of the ellipse whose centre is…
The equation of the line passing through the…
The equation of the plane passing through the…
The following table gives the monthly expenditure of…
The general solution of dy/dx = (ax+h)/(by+k) represents…
The function f(x) = |x| – x^3 is
The inverse of the function y = 5^ln…
The left-hand derivative of f(x) = [x] sin(πx)…
The length of the normal from origin to…
The matrix A has x rows and x+5…
The maximum value of (ln x)/x is
The number of terms in the expansion of…
The order and degree of the differential equation…
The point of intersection of the line joining…
The points (a, b), (0, 0), (-a, -b)…
The position of the point (1, 2) relative…
The principal value of sin⁻¹x lies in the…
The probability that a ship safely reaches a…
The remainder and the quotient of the binary…
The roots of the equation (q-r)x² + (r-p)x…
The set of all points, where the function…
The smallest positive integer n for which (…
The solution of the differential equation dy/dx =…
The sum of all real roots of the…
The system of equations kx + y +…
The value of1/log₃e + 1/log₃e² + 1/log₃e⁴ +…
The value of sin⁻¹(3/5) + tan⁻¹(1/7) is equal…
The value of tan 9° – tan 27°…
The value of the determinant| 1 – α…
The value of the determinant| cos²(θ/2) sin²(θ/2) || sin²(θ/2) cos²(θ/2)…
The value of the product (6½ × 6¼…
The value of √3 cosec 20° – sec…
The value of ∫₀^(π/4) tanx dx + ∫₀^(π/4)…
What is the probability that at least two…
What is ∫0^2π √(1 + sin(x/2)) dx equal…
What is ∫tan^-1(sec x + tan x) dx…
Which one of the following can be considered…
Which one of the following graph represents the…
Which one of the following is correct in…
Ifl1 = d/dx(e^sin x)l2 = lim h→0 (e^sin(x+h)…