NDA Mathematics 2013 (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
(x² + 1)² – 1 = 0 has
A bag contains 5 black and 3 white…
A bag contains balls of two colours, 3…
A fair coin is tossed repeatedly. The probability…
A man walks 10 m towards a lamp…
A straight line passes through the points (5,…
Consider a random experiment of throwing together a…
Consider the following frequency distribution : If the…
Consider the following statements : 1. Both variance…
Consider the following statements: 1. A matrix is…
Consider the following statements: 1. limₓ→₀ (1/x) does…
Consider the following statements: 1. The derivative where…
Consider the following statements in respect of a…
Consider the function f(x) = { x² ,…
For any vector α, what is (α·i) i…
For what value of k, the equations 3x…
Four coins are tossed simultaneously. What is the…
If 2x³ – 3y² = 7, what is…
If 4ˣ – 6.2ˣ + 8 = 0,…
If |a| = √2, |b| = √3 and…
If A + B = 90°, then what…
If A = {x, y}, B = {2,…
If A and B are any two events…
If A and B are two non-singular square…
If A is a relation on a set…
If D is a determinant of order 3…
If P(77, 31) = x and C(77, 31)…
If a line makes 30° with the positive…
If cosec θ + cot θ = c,…
If d is the number of degrees contained…
If sin θ + 2 cos θ =…
If sin⁻¹(2a/(1 + a²)) + sin⁻¹(2b/(1 + b²))…
If tan A = x + 1 and…
If the magnitude of a × b equals…
If the numbers n – 3, 4n –…
If the roots of a quadratic equation ax²…
If the roots of the equation 3ax² +…
If the straight line (x − x₀)/l =…
If the sum of the roots of a…
If two lines of regression are perpendicular, then…
If X follows a binomial distribution with parameters…
If y = sin(ax + b), then what…
If y = xˣ, what is dy/dx at…
If α and β are the roots of…
If β is perpendicular to both α and…
If θ is the angle between the vectors…
In any triangle ABC, a = 18, b…
In how many ways can the letters of…
In throwing a six-faced die, let A be…
Let N be the set of natural numbers…
The angle of elevation of the top of…
Marks obtained by 7 students in a subject…
The area of a rectangle whose length is…
The average marks obtained by the students in…
The binary representation of the decimal number 45…
The binomial distribution has
The curve y = x·eˣ has minimum value…
The degree and order respectively of the differential…
The derivative of sec²x with respect to tan²x…
The derivative of |x| at x = 0
The determinant of an orthogonal matrix is
The difference of focal distances of any point…
The differential equation of the curve y =…
The equation of the ellipse whose vertices are…
The expression (cot x + cosec x −…
The function f(x) = x² – 4x, x…
The general solution of the differential equation ln(dy/dx)…
The general solution of the differential equation x(dy/dx)…
The harmonic mean H of two numbers is…
The marks obtained by 13 students in a…
The point whose abscissa is equal to its…
The roots of the equation| 1 t-1 1…
The shadow of a tower standing on a…
The standard deviation of the observations 5, 5,…
The sum of the direction cosines of z-axis…
The value of the determinant| m n p…
Two numbers are successively drawn from the set…
Two straight line paths are represented by the…
Variance is always independent of the change of
What is (1 − tan²(x/2)) / (1 +…
What is lim (x→0) (1 – √(1 +…
What is lim (x→0) (sin x – tan…
What is the angle between the planes 2x…
What is tan⁴A − sec⁴A + tan²A +…
What is the area of the parabola y³…
What is the area of the region enclosed…
What is the area of the triangle bounded…
What is the area of the triangle whose…
What is the area of the triangle whose…
What is the argument of the complex number…
What is the degree of the differential equation…
What is the degree of the equation 1/(x-3)…
What is the differential coefficient of logₓ x?
What is √-i where i = √-1 equal…
What is ∫ dx / (x ln x)…
What is ∫ e^(ln x) dx equal to?…
What is ∫(-a to a) (x³ + sin…
What is ∫(-π/6 to π/6) (sin⁵x cos³x /…
What is ∫(0 to 1) eˣ² dx equal…
What is ∫(0 to 2) dx / (x²…
What is the distance between the planes x…
What is the equation of a straight line…
What is the inclination of the line √3…
In a state with a population of 75…
In a state with a population of 75…
In a state with a population of 75…
In a state with a population of 75…
In a state with a population of 75…
In a state with a population of 75…
What is the probability of getting a sum…
What is the sum of the coefficients in…
What is the range of the function f(x)…
What is the value of (sin⁴θ − cos⁴θ…
What is the value of logᵧ x⁵ logₓ…
What is the value of tan 105°?
What is the value of the minor of…
What should be the value of k for…
Which one of the following is a null…
Which one of the following points lies inside…
Which one of the following vectors is normal…