NDA Mathematics 2024 (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 box contains 2 black, 4 yellow and…
A can hit a target 5 times in…
A die has two faces with number 4,…
A fair coin is tossed till two heads…
A natural number x is chosen at random…
A triangle ABC is inscribed in the circlex²…
A triangle ABC is inscribed in the circlex²…
A, B, C are three mutually exclusive and…
ABCD is an isosceles trapezium and AB is…
ABCD is an isosceles trapezium and AB is…
Consider the following in respect of the matrices…
Consider the following numbers:I. tan 22.5°II. cot 22.5°III. tan 22.5° – cot 22.5°How many of…
Consider the following statements:I. The set of all…
Let f(t) = ln(t + √(1 + t^2))…
Consider the points P(4k, 4k) and Q(4k, –4k)…
Let (8 + 3√7)²⁰ = U + V…
For two events A and B, P(A) =…
For what value of the angle between the…
How many 4-digit numbers are there having all…
Ifp·tan(θ − 30°) = q·tan(θ + 120°),then what…
If A and B are two non-empty sets…
If 4 sin⁻¹x + cos⁻¹x = π, then what…
If then what is the value of ∑…
If P is a skew-symmetric matrix of order…
If P(2, 4), Q(8, 12), R(10, 14) and…
If then what is modulus of Z equal…
If f(2x) = 4x^2 + 1, then for…
If f(x) = 4x + 1 and g(x)…
If f(x) = 9x – 8/√x such that…
If f(x) = [x]^2 – 30[x] + 221…
If n is a root of the equation…
If p times the p-th term of an…
If tan θ = 3/4, then the value…
If the sum of the first n terms…
Ifx / cos θ = y / cos(2π/3 −…
If ω = –1/2 + i√3/2 then what…
If ω ≠ 1 is a cube root…
In a binomial distribution, if the mean is…
In a class of 240 students, 180 passed…
In a triangle ABC What is the area…
In a triangle ABCtan A + tan B + tan C…
In a triangle ABC, ∠A = 75° and…
In an AP, the ratio of the sum…
In how many ways can a student choose…
In how many ways can the letters of…
In the expansion of (1 + x)^p (1…
Let (8 + 3√7)²⁰ = U + V…
Let 2x^2 + 2y^2 + 2z^2 + 3x…
Let 2x^2 + 2y^2 + 2z^2 + 3x…
LetA = [3 -3 4 2 -3 4 0 -1…
LetA = [3 -3 4 2 -3 4 0 -1…
Let A and B be two square matrices…
Let ABCDEF be a regular hexagon.If AD̄ =…
Let f o g(x) = cos^2 √x and…
Let f o g(x) = cos^2 √x and…
Let f(x) = [x]^2 – [x^2]. Consider the…
Let f(x) = [x]^2 – [x^2]. What is…
Let f(x) = cos 2x + x on…
Let f(x) = cos 2x + x on…
Let ∑xᵢ² = 855. If M is the…
Let L: x + y + z +…
Let L: x + y + z +…
Let P and Q be two non-void relations…
Let S be the line of intersection of…
Let S be the line of intersection of…
Let X be a matrix of order 3×3,…
Let Z₁ and Z₂ be any two complex…
Let Z₁ and Z₂ be any two complex…
Let p = ln(x), q = ln(x³) and…
Let f(x) f(y) = f(xy) for all real…
Let x > 1, y > 1, z…
Let x – 3y + 4 = 0…
Let z = [y] and y = [x]…
Let θ be the angle between two unit…
The area bounded by the parabola y^2 =…
The area bounded by the parabola y^2 =…
The diagonals of a quadrilateral ABCD are along…
The equation of a circle is(x² – 4x…
The foci of the ellipse 4x² + 9y²…
The letters of the word EQUATION are arranged…
The letters of the word ZOOLOGY are arranged…
The mean of n observations1, 4, 9, 16,…
The mean of the series x₁, x₂, …,…
The occurrence of a disease in an industry…
The product of 5 consecutive terms of an…
The product of 5 consecutive terms of an…
The roots of the equation 7x² – 6x…
The roots of the quadratic equation a²(b² –…
The roots of the quadratic equation a²(b² –…
The vectors ā, b̄ and c̄ are of…
Three distinct natural numbers are chosen at random…
Three perfect dice D₁, D₂ and D₃ are…
Three perfect dice are rolled. Under the condition…
Two perfect dice are thrown. What is the…
Urn A contains 2 white and 2 black…
Let y dx + (x – y^3) dy…
Let2 ∫[(x² – 1)/(x² + 1)] dx =…
Let f(x) = |x^2 – x – 2|.…
Let I = ∫(0 to π/2) (f(x)/g(x)) dx,…
Let f(t) = ln(t + √(1 + t^2))…
What is 3α + 2β equal to if(2î…
Let I = ∫(0 to π/2) (f(x)/g(x)) dx,…
Let2 ∫[(x² – 1)/(x² + 1)] dx =…
What is cot²(sec⁻¹2) + tan²(cosec⁻¹3) equal to?
Let f : (–1, 1) → R be…
Let f : (–1, 1) → R be…
What is lim (x→π/2) (sec θ – tan…
What is sin 12° sin 48° equal to?
What is the general solution of cos¹⁰⁰x –…
What is the maximum number of possible points…
What is the maximum value of a cos…
What is the mean deviation of the first…
What is the minimum value of the function…
What is the number of real roots of…
What is the number of solutions of the…
What is the remainder when 7ⁿ – 6ⁿ…
Let y dx + (x – y^3) dy…
What is the value of the sum ∑ₙ₌₁²⁰…
Let f(x) = |x^2 – x – 2|.…
Which one of the following is correct regarding…