NDA Mathematics 2023 (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
5-digit numbers are formed using the digits 0,…
A biased coin has P(H) = 1/4. If…
A bivariate data set contains only two points…
A coin is biased such that heads is…
A die is thrown 10 times and obtained…
A mapping f(x) = (2x + 3)/(3x +…
A natural number n is chosen from the…
A solution of the differential equation (dy/dx)² –…
At what value of A does x attain…
Central angles p, q, r, s satisfy 9p…
Consider the following frequency distribution: What is the…
Consider the following statements for a fixed natural…
Consider the following statements in respect of square…
Consider the following statements: 1.ABC is a right-angled…
Consider the statements: 1.(25)! + 1 divisible by…
Consider the sum S = 0! + 1!…
First and second terms of an AP are…
For data -1, 1, 4, 3, 8, 12,…
For how many integer values of k does…
f(x) = |x-2| + |3-x| + |4-x|. At…
For what value of m < 0 is…
From observations 4, 1, 4, 3, 6, 2,…
Given that sin x + cos x +…
How many real numbers satisfy |x−4| + |x−7|…
How many terms are there in expansion of…
If 2 − i√3 is a root of…
If 2^1/c, 2^b/ac, 2^1/a are in GP, then…
If G is the geometric mean of numbers…
If H is the harmonic mean of numbers…
Let A(1, -1, 2) and B(2, 1, -1)…
If a, b, c are in AP, then…
If c = 8, what is the area…
If f(x) = x(4x² – 3), then f(sin…
If f(x) = x² + 2 and g(x)…
If log a, a^x and log^x are in…
If regression lines are x + 4y +…
sinx+cosx+tanx+cot.x+secx+cosecx=7 If sin 2x = a – b√c,…
If sixth term in expansion of (x^(-8/3) +…
Consider the sum S=0! +1! +2! +3!+4!+…. +…
If x is the distance of point P…
If z = (1 + i√3) / (1…
If z − 1 / z + 1…
Δ(a, b, c, α) =| a b aα + b…
Let Δ(a, b, c, α) = | a b aα…
If α and β are the distinct roots…
If ω is a non-real cube root of…
In an AP, the first term is x…
In triangle ABC, a² + b² + c²…
In triangle PQR, P is the largest angle…
Let A and B be independent events with…
Let A and B be symmetric matrices of…
Let A be a matrix of order 3×3…
Let AX = B be a system of…
Let P be the median, Q be the…
Let P, Q, R represent mean, median and…
Let X + Y = 100, and X…
Let x = (sin²A + sin A +…
Let x be the number of permutations of…
m parallel lines cut n parallel lines giving…
One bag contains 3 white and 2 black…
The mean and variance of five observations are…
The perimeter of a triangle ABC is 6…
The system of equations: x + 2y +…
Three dice are thrown. What is the probability…
Given that m(θ) = cot²θ + n² tan²θ…
Direction ratios of lines are (2, -1, 2)…
Let I = ∫a to b (|x| /…
Let I = ∫a to b (|x| /…
What is a possible value of tan θ?
Let a vector a=4î-8j+ make angles α, β,…
What is cos 2β equal to?
Let a vector a=4î-8j+ make angles α, β,…
Let f(x) = P e^x + Q e^2x…
Let f(x) = | cos x x^2 2x…
Let f(x) = sin[πx] + cos[-πx] where [.]…
Let f(x) = sin[πx] + cos[-πx] where [.]…
What is lim x→1 of (x⁹ – 1)…
What is lim x→5 of (5 – x)…
p, q, r and s are in AP…
P(x, y) lies on ellipse x² + 4y²…
Let f(x) = | cos x x^2 2x…
Let f(x) = | cos x x^2 2x…
(3 + 2√2)x² – (4 + 2√3)x +…
(3+2/2)x^2 – (4+2√3)x + (8+4√3) = 0 What…
Let a = 3i + 3j + 3k …
Circle: (x – a)² + y² = a²,…
Circle: (x – a)² + y² = a²,…
What is the binary number equivalent to decimal…
Suppose E is the differential equation representing family…
What is the derivative of cosec(x degrees)?
Let f(x) = |ln x|, x ≠ 1.…
Let f(x) = |ln x|, x ≠ 1.…
Let f(x) = |ln x|, x ≠ 1.…
What is the derivative of sin²x with respect…
A quadrilateral is formed by the Lines: x…
A quadrilateral is formed by the Lines: x…
Given that m(θ) = cot²θ + n² tan²θ…
In triangle PQR, P is the largest angle…
A = i – jB = j +…
f(x)=x-2|+3-x+4-x, where x e R. What is the…
What is the number of 6-digit numbers that…
Suppose E is the differential equation representing family…
What is the probability that the month of…
What is the range of the function f(x)…
What is the sum of the roots of…
Let I1=∫0π x/1 + cos^2x dx and I2=∫0π…
Let I1=∫0π x/1 + cos^2x dx and I2=∫0π…
Let I1=∫0π x/1 + cos^2x dx and I2=∫0π…
Let f(x) = P e^x + Q e^2x…
Let f(x) = P e^x + Q e^2x…
Direction ratios of lines are (2, -1, 2)…
Letf(x) = x + 6, for x ≤…
What is the value of sec 2γ?
Let A(1, -1, 2) and B(2, 1, -1)…
Let a = 3i + 3j + 3k …
Consider the following statements: 1.f(x) = ln x…
A = i – jB = j +…
P(x, y) lies on ellipse x² + 4y²…
Letf(x) = x + 6, for x ≤…
α, β are distinct real roots of x²…