NDA Mathematics 2017 (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
(0, 0, 0), (a, 0, 0), (0, b,…
A = [x + y y, x x…
A card is drawn from a well-shuffled ordinary…
A committee of two persons is constituted from…
A point is chosen at random inside a…
A question is given to three students A,…
A sample of 5 observations has mean 32…
A straight line with direction cosines (0, 1,…
ABCD is a quadrilateral whose diagonals are AC…
Consider the following for triangle ABC: 1.sin(B +…
Consider the following in respect of sets A…
Consider the following statements : 1.Two events are…
Consider the following statements : Statement 1 :…
Consider the set A of all matrices of…
Data can be represented in which of the…
For given statistical data, the graphs for less…
For two dependent events A and B, it…
From the top of a lighthouse, 100 m…
If |z + 4| ≤ 3, then the…
f | x y 0 | = 0,…
If 1, ω, ω² are the cube roots…
If A = [0 1, 1 0], then…
If A = [(α 2), (2 α)] and…
If A = [cos α sin α, -sin…
If A = [cosθ sinθ, -sinθ cosθ], then…
If B is a non-singular matrix and A…
If F(x) = √(9 – x²), then what…
If K = sin(π/18) sin(5π/18) sin(7π/18), then what…
If a + b + c, then one…
If a = 2i + 3j + 4k…
If a vertex of a triangle is (1,…
If a x b = c and b…
If cot α and cot β are the…
If f(x) = e^x and g(x) = ln…
If f(x) = x / (x – 1),…
If f(x) = x² + 2ax + b…
If f(x) = x² + bx + c…
If f(x) and g(x) are continuous functions satisfying…
If î = i – j + k̂,…
If S = {x : x² + 1…
If sec θ – cosec θ = 4/3,…
If sin A = 3/5, where 450° <…
If sinθ = 3sin(θ + 2x), then the…
If tan(α + β) = 2 and tan(α…
If the centroid of a triangle formed by…
If the data are moderately non-symmetrical, then which…
If the difference between the roots of the…
If the function f(x) = x³ – 3x…
If the function f(x) = x³ + ax²…
If the graph of a quadratic polynomial lies…
If the regression coefficient of x on y…
If the roots of the equation x^2 +…
If the sum of m terms of an…
If the three consecutive vertices of a parallelogram…
If two fair dice are thrown, then what…
If two regression lines between height (x) and…
If x dy = y dx + y…
In an examination, 40% of candidates got second…
In the binary equation (1p0|01)₂ + (10q|1)₂ =…
Let A = {1, 2, 3, 4, 5,…
Let A and B are two mutually exclusive…
Let ABCD be a parallelogram whose diagonals intersect…
Let S be the set of all persons…
Let f : [-6, 6] → R be…
Let f(x + y) = f(x) f(y) for…
Let f(x) = px + q and g(x)…
Let f(x) be an indefinite integral of sin²…
Let f(x) be defined as follows: f(x) =…
Let f(x): {x, x is rational {0, x…
Let x, y, z be positive real numbers…
The expansion of (x – y)^n, n ≥…
The equations x + 2y + 3z =…
The expression (sinα + sinβ)/(cosα + cosβ) is…
The fifth term of an AP of n…
The function f : X → Y defined…
The incenter of the triangle with vertices A(1,…
The line passing through the points (1, 2,…
The maximum value of sin(x + π/6) +…
The mean and standard deviation of a binomial…
The mean weight of 150 students in a…
The modulus and principal argument of the complex…
The number of different words (eight-letter words) ending…
The number of roots of the equation z²…
The points P(3, 2, 4), Q(4, 5, 2),…
The sum of all the two-digit odd numbers…
The sum of the first n terms of…
The sum of the roots of the equation…
The sum of the roots of the equation…
The two circles x² + y² = r²…
The value of ((-1 + i√3)/2)^n + ((-1…
The value of [C(7, 0) + C(7, 1)]…
The value of i^2n + i^2n+1 + i^2n+2…
Three-digit numbers are formed from the digits 1,…
Under which one of the following conditions are…
What are the degree and order respectively of…
What is (1 – √3)/(sin 10° cos 10°)…
What is ∫ (dx / (x(x² + 1)))…
What is ∫ (x(e⁻¹ + e⁻ˣ) / (x²…
What is lim (x→0) (e^x – (1 +…
What is d²y / dx² equal to?
What is the acute angle between the pair…
What is the area of the region bounded…
What is the derivative of f(x) = sin(x²)…
What is the differential equation corresponding to y²…
What is the equation of the circle which…
What is the equation of the ellipse having…
What is the equation of the straight line…
What is the equation of the tangent to…
What is the general solution of the differential…
What is the length of the longest interval…
What is the maximum value of the function…
What is the order of [a h c]…
What is the ratio in which the point…
What is the solution of the differential equation…
What is the sum of the series 0·3…
What is the value of lim (x→∞) (1…
What is the value of ∫ (from 0…
What is ∫(0 to π/3) (dθ / (1…
What is the value of tan 18°?
What is the value of the determinant |…