NDA Mathematics 2015 (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 bag contains 4 white and 2 black…
A coin is tossed 5 times. The probability…
A coin is tossed five times. What is…
A polygon has 44 diagonals. The number of…
A problem in statistics is given to three…
A straight line x=y+2 touches the circle 4(x²+y²)=r².…
A vertical tower standing on a levelled field…
A, B, C and D are four sets…
ABCD is a parallelogram and P is the…
An insurance company insured 2000 scooter drivers, 4000…
An unbiased coin is tossed until the first…
Consider the function f(x) = (1/x)^(2x²), where x…
Consider a triangle ABC satisfying 2a sin²(C/2) +…
Consider any point P on the ellipse x²/25…
Consider the expansion of (1 + x)²ⁿ⁺¹. If…
Consider the following : 1. sin⁻¹(4/5) + sin⁻¹(3/5)…
∫ dx / (1 + e^(-x)) is equal…
Consider f′(x) = (x²/2) – kx + 1…
∫[-1 to 1] x|x| dx is equal to
∫[0 to 2π] sin²(x/4) dx is equal to
Consider the following functions : 1. f(x) =…
Consider the following inequalities in respect of vectors…
Consider the following statements : 1. The function…
Consider the following statements : 1. f(x) =…
Consider the following statements :Statement 1: The function…
Consider the following statements in respect of the…
Consider the functionf(x) = { ax – 2…
If 0 < a < b, then ∫[a…
If A = [1 0 -2; 2 -3…
If A = [1 1 -1; 2 -3…
If A = {x ∈ R : x²…
If A is an invertible matrix of order…
If A is an orthogonal matrix of order…
If a line is perpendicular to the line…
If a, b, c are real numbers, then…
If a, b, c are the sides of…
If b and c are the position vectors…
If different words are formed with all the…
If |a| = 2 and |b| = 3,…
f(xy) = f(x) + f(y) is true for…
If f : R → R, g :…
If f(x) = (sin(e^(x-2) – 1))/(ln(x – 1)),…
If f(x) = √(25 – x²), then what…
If g(x) = 1/f(x) and f(x) = x,…
If log₂m + log₈(1/6) = 2/3, then m…
If mean and variance of a Binomial variate…
If p, q, r are in one geometric…
If p = tan(-11π/6), q = tan(21π/4) and…
If s = √(t² + 1), then d²s/dt²…
If sin x + sin y = a…
If the centre of the circle passing through…
If the magnitude of difference of two unit…
If the point z₁ = 1 + i…
If the position vector a of the point…
If the roots of the equation x² –…
If the sum of the roots of the…
If the value of the determinant [[a,1,1],[1,b,1],[1,1,c]] is…
If the vectors αi̅ + αj̅ + γk̅…
If x ∈ [0, 5], then what is…
If x^a y^b = (x – y)^(a +…
If y = cot⁻¹ ( (√(1 + sin…
If z₁ and z₂ are complex numbers with…
In the expansion of (√x + 1/(3x²))¹⁰ the…
Let X be the set of all persons…
On simplifying (sin³A + sin3A)/sinA + (cos³A –…
Seven unbiased coins are tossed 128 times. In…
The area bounded by the coordinate axes and…
The area of the figure formed by the…
The area of the square, one of whose…
The average of the coefficients of the two…
The arithmetic mean of 1, 8, 27, 64,…
The coefficient of x⁹⁹ in the expansion of…
The derivative of ln(x + sin x) with…
The degree of the differential equation (dy/dx –…
The differential equation of the family of circles…
The direction ratios of the line perpendicular to…
The domain of the function f(x) = 1…
The eccentricity of the hyperbola 16x²-9y²=1 is
The function f(x) = (1 – sinx +…
sin A, sin B, sin C are in
The function f(x) = x²/e^x is monotonically increasing…
Consider the function f(x) = -2x³ – 9x²…
Consider the function f(x) = -2x³ – 9x²…
The geometric mean of the observations x₁, x₂,…
The lengths of the intercepts on the co-ordinate…
The line 3x+4y-24=0 intersects the x-axis at A…
The lines 2x = 3y = -z and…
The matrix A = [[1, 3, 2], [1,…
Consider the function f(x) = (1/x)^(2x²), where x…
The number of 3-digit even numbers that can…
The number of real roots of the equation…
The number of ways in which 3 holiday…
The number of ways in which a cricket…
The order and degree of the differential equation…
The product of the perpendiculars from the two…
The radius of the sphere 3x² + 3y²…
The regression coefficients of a bivariate distribution are…
The rth term of an A.P. is (3+n)/4,…
The solution of dy/dx = √(1 – x²…
The sum of the coefficients of all the…
The three lines 4x+4y=1, 8x-3y=2, y=0 are
Consider the functionwhich is continuous everywhere. The value…
Consider the functionwhich is continuous everywhere. The value…
Consider f′(x) = (x²/2) – kx + 1…
The value of sin²5° + sin²10° + sin²15°…
The value of tan(2tan⁻¹(1/5) – π/4) is
The value of the infinite product (1/6²) ×…
The value of ∫ᵃᵇ (xʳ + sinx /…
The vectors a̅, b̅, c̅ and d̅ are…
Three digits are chosen at random from 1,…
Two events A and B are such that…
Two poles are 10 m and 20 m…
Two straight lines passing through the point A(3,…
What are the co-ordinates of the foot of…
What is (1000000001)₂ – (00101)₂ equal to?
What is the probability that the sum of…
Consider the integralsA = ∫[0 to π] (sin…
What is the sum of n terms of…
Consider the integralsA = ∫[0 to π] (sin…
zz̄ + (3-i)z + (3+i)z̄ + 1 =…