NDA Mathematics 2018 (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 box has ten chits numbered 0, 1,…
A committee of three has to be chosen…
A sphere of constant radius r through the…
A spherical balloon of radius r subtends an…
A survey of 850 students in a University…
A train covers the first 5 km of…
ABC is a triangle inscribed in a circle…
Consider the following in respect of two events…
Consider the following statements : 1.If the correlation…
Consider the following statements : 1.Mean is independent…
Consider the following statements : 1.The sum of…
Consider the following statements : 1. The length…
Consider the function f(x) = x² ln|x|, x…
Consider the following statements: 1.P(A ∪ B) =…
For f to be a function, what is…
How many four-digit numbers divisible by 10 can…
How many numbers between 100 and 1000 can…
If 0 < a < 1, the value…
If 4x – 5y + 33 = 0…
If ∫₀ᵃ x³ dx = 0 and ∫₀ᵇ…
If A =| 1 2 || 2 3…
If A and B are two events such…
If A is a 2×3 matrix and AB…
If a flag-staff of 6 m height placed…
If a̅ + 2b̅ + 3c̅ = 0̅…
If a̅ and b̅ are vectors such that…
If cos α + cos β + cos…
If f(x) = (x² – 9)/(x² – 2x…
If f(x) = |x| + |x − 1|,…
If f(x) is an even function, where f(x)…
If f: ℝ → ℝ is defined by…
If n = (2017)!, then what is1/log₂n +…
If n ∈ N, then 121ⁿ – 25ⁿ…
If sin x = 1/√5, sin y =…
If sin α + sin β = 0…
If sin(x + y) = (a – b)…
Three sides of a trapezium are each equal…
Three sides of a trapezium are each equal…
If the coefficients of aᵐ and aⁿ in…
If the correlation coefficient between x and y…
If the ratio of AM to GM of…
If the vectors k̅ and A̅ are parallel…
If x + log₁₅(1 + 3³ˣ) = x…
If x = 1 – y + y²…
If x, 3/2, z are in AP; x,…
If x, x – y and x +…
If y = e^x² sin 2x, then what…
If α and β are different complex numbers…
In a Binomial distribution, the mean is three…
In a test in Mathematics, 20% of the…
In a triangle ABC if a = 2,…
In the expansion of (1 + x)^43, if…
Let A and B be subsets of X…
Let [x] denote the greatest integer function. What…
Let p̅ and q̅ be the position vectors…
Let the coordinates of the points A, B,…
Let x̄ be the mean of x₁, x₂,…
Let α and β be real numbers and…
One bag contains 3 white and 2 black…
Suppose cos A is given. If only one…
Suppose f : ℝ → ℝ is defined…
The binary number expression of the decimal number…
The coordinates of the vertices P, Q and…
The equation of the line, when the portion…
The equation |1 – x| + x² =…
The maximum value ofsin(x + π/5) + cos(x…
The mean and standard deviation of a set…
The modulus-amplitude form of √3 + i, where…
The number of non-zero integral solutions of the…
The order and degree of the differential equation…
The perpendiculars that fall from any point of…
The probabilities that a student will solve Question…
The standard deviation σ of the first N…
The third term of a GP is 3.…
Two fair dice are rolled. What is the…
What are the order and degree, respectively, of…
What is (sin 5x – sin 3x)/(cos 5x…
What is ∫ dx/(2^x – 1) equal to?
What is ∫ e^x sin x dx equal…
What is ∫ x ln x dx equal…
What is1/log₂N + 1/log₃N + 1/log₄N + ……
What is C(n, r) + 2C(n, r –…
What is i²⁰⁰⁰ + i²⁰⁰¹ + i²⁰⁰² +…
What is lim h→0 [(√2x + 3h –…
What is lim x→0 (tan x/sin 2x) equal…
What is sin 105° + cos 105° equal…
What is tan⁻¹(–1/4) + tan⁻¹(3/5) equal to?
What is the angle between the straight lines(m²…
What is the area of the region bounded…
What is the derivative of the function f(x)…
What is the distance between the points which…
What is the distance between the straight lines…
What is the equation of the ellipse whose…
What is the equation of the line passing…
What is the equation of the plane passing…
What is the equation of the straight line…
What is the equation of the straight line…
What is the equation to the sphere whose…
What is ∫₀^√2 [x²] dx equal to (where…
What is ∫₀¹ x(1 – x)⁹ dx equal…
What is the greatest integer among the following…
What is the inverse of the matrixA =|…
Three sides of a trapezium are each equal…
What is the maximum value of 16 sin…
What is the median of the numbers 4·6,…
What is the moment about the point î…
What is the number of non-zero terms in…
In a class, 54 students are good in…
In a class, 54 students are good in…
What is the number of triangles that can…
What is the period of the function f(x)…
What is the principal argument of (–1 –…
What is the principal value of sin⁻¹(sin 2π/3)?
What is the solution of (1 + 2x)…
What is the solution of the differential equation…
What is the sum of all two-digit numbers…
What is the value of the sum ∑…
What is the value of ∫ from -π/4…
Which one of the following differential equations has…
Which one of the following is correct in…