NDA Mathematics 2016 (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, 2b) is the mid-point of the line…
A card is drawn from a well-shuffled deck…
A certain type of missile hits the target…
A coin is tossed three times. What is…
A fair coin is tossed 100 times. What…
A point is chosen at random inside a…
A straight line intersects x and y axes…
Let α and β (α < β) be…
Let α and β (α < β) be…
Let f : R → R be a…
Consider the following in respect of the matrix…
Consider the following statements : 1. If ABC…
Consider the function f(θ) = 4(sin²θ + cos⁴θ)…
Given that aₙ = ∫(0 to π) [sin²((n+1)x)…
Let z₁, z₂ and z₃ be non-zero complex…
A function f(x) is defined as follows :f(x)…
Consider the following statements : 1. There exists…
f(x) =x + π for x ∈ [−π, 0)π…
Consider the following statements : 1. tan⁻¹ x…
Consider the following statements in respect of a…
For the data 3, 5, 1, 6, 5,…
For two mutually exclusive events A and B,…
Consider the function f(x) = [27(x^(2/3) – x)]…
Consider the function f(x) = [27(x^(2/3) – x)]…
If A = (cos 12° − cos 36°)(sin…
If A is a square matrix, then what…
If a circle of radius b units with…
If a, b and c are the position…
If f(x₁) – f(x₂) = f((x₁ – x₂)/(1…
If lim (x→0) φ(x) = a², where a…
If logₐ(ab) = x, then what is log_b(ab)…
If m is the geometric mean of log(yz),…
If one root of the equation (1 –…
Consider the two circles(x – 1)² + (y…
Consider the equationk sin x + cos2x =…
Consider the equationk sin x + cos2x =…
A plane P passes through the line of…
If the total number of observations is 20,…
If two dice are thrown, then what is…
If ∫₋₂⁵ f(x) dx = 4 and ∫₀⁵…
If x² – px + 4 > 0…
If y = log₁₀x + logₓ10 + logₓx…
If z = x + iy = (1/√2…
Let R be a relation on the set…
Let f(x) and g(x) be twice differentiable functions…
Consider a circle passing through the origin and…
Suppose there is a relation * between the…
Suppose ω and ω² are two distinct cube…
Suppose ω is a cube root of unity…
Consider the lines y = 3x, y =…
The mean of the series x₁, x₂, …,…
The system of linear equations kx + y…
Three dice are thrown simultaneously. What is the…
Two independent events A and B have P(A)…
A plane P passes through the line of…
What are the order and degree respectively of…
Let f(x) be the greatest integer function and…
Let f(x) be the greatest integer function and…
Let z be a complex number satisfying|z –…
Let z be a complex number satisfying|z –…
What is a vector of unit length orthogonal…
Given that aₙ = ∫(0 to π) [sin²((n+1)x)…
Let â, b̂ be two unit vectors and…
Let f : R → R be a…
Let f : R → R be a…
Consider the function f(x) = |x² − 5x…
Consider the function f(x) = |x² − 5x…
Let f : R → R be a…
What is lim (x→0) e^( -1/x² ) equal…
Consider the functionf(x) = (a^[x] + x –…
Consider the functionf(x) = (a^[x] + x –…
Given that tanα and tanβ are the roots…
Let â, b̂ be two unit vectors and…
Given that tanα and tanβ are the roots…
What is the acute angle between the lines…
Consider the curves f(x) = x|x| – 1…
What is ∫ 4n |cos x| dx equal…
Consider the functions f(x) = xg(x) and g(x)…
Consider the functions f(x) = xg(x) and g(x)…
What is ∫₂³ x dx − ∫₂³ [x]…
What is the area of the parallelogram having…
Consider a parallelogram whose vertices are A(1, 2),…
Consider the curves y = |x − 1|…
Consider the function f(x) = |x – 1|…
Consider the function f(x) = |x – 1|…
What is the binary equivalent of the decimal…
Consider the lines y = 3x, y =…
Consider the equation x + |y| = 2y…
Consider the two circles(x – 1)² + (y…
Consider the two linesx + y + 1…
Consider the two linesx + y + 1…
A plane P passes through the line of…
Consider the function f(θ) = 4(sin²θ + cos⁴θ)…
What is the mean deviation from the mean…
Consider the function f(θ) = 4(sin²θ + cos⁴θ)…
What is the number of different messages that…
What is the number of four-digit decimal numbers…
What is the number of natural numbers less…
Consider the function f(x) = (x² + (x…
Consider the function f(x) = (x² + (x…
What is the number of ways in which…
Consider a parallelogram whose vertices are A(1, 2),…
What is the probability of 5 Sundays in…
What is the range of the function y…
Consider a parallelogram whose vertices are A(1, 2),…
Consider a circle passing through the origin and…
Consider the function f(x) = | x³ sin x cos…
Consider the function f(x) = | x³ sin x cos…
Consider a triangle ABC in which cos A…
Let z₁, z₂ and z₃ be non-zero complex…
Consider a triangle ABC in which cos A…
Consider the curves y = |x − 1|…
Consider the curves f(x) = x|x| – 1…
Which of the following determinants have value zero?…
Consider the equation x + |y| = 2y…
Given that logₓ y, log_z x, log_y z…
Given that logₓ y, log_z x, log_y z…
Consider the function f(x) = |x – 1|…
Consider the function f(x) = |x – 1|…
Consider the function f(x) = |x – 1|…