NDA Mathematics 2016 (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 coin is tossed three times. Consider the…
A five-digit number divisible by 3 is to…
A force F → = 3i + 2j…
A machine has three parts, A, B and…
A medicine is known to be 75% effective…
A moving boat is observed from the top…
A random sample of 20 people is classified…
A salesman has a 70% chance to sell…
A special dice with numbers 1, -1, 2,…
A straight line cuts off an intercept of…
A student appears for tests I, II and…
An equilateral triangle has one vertex at (0,0)…
Let Q be the image of the point…
Consider the following in respect of the function…
Let Q be the image of the point…
Consider the following statements in respect of class…
Consider the following statements: 1.The mean and median…
For 10 observations on price (x) and supply…
For two events, A and B, it is…
f A is a square matrix of order…
How many geometric progressions is/are possible containing 27,…
The interior angles of a polygon of n…
If (a, b) is at unit distance from…
If A = [1 -1; 3 2] and…
If A = {x ∈ R : x²…
If Re((z-1)/(z+1)) = 0, where z = x…
Let a → = i + j, b…
If both the roots of the equation x²…
If c > 0 and 4a + c…
If f(x) = [cos x -sin x 0;…
If m = [1 0; 0 1] and…
If sin 18° = (√5 – 1)/4, then…
If sin θ₁ + sin θ₂ + sin…
If the covariance between x and y is…
If the ellipse 9x² + 16y² = 144…
If the number 235 in decimal system is…
If the point (a, α) lies between the…
If x = (y/z)ʳ, y = (z/x)ˢ, z…
If x = sin 70°, sin 50° and…
If ∫ from 0 to π/3 dx /…
If x dy = y dx + y^2…
If x cos θ + y sin θ…
If z = (√3/2 + i/2)^107 (√3/2 –…
2x² + 3x – α = 0 has…
In a right-angled triangle ABC, if the hypotenuse…
In a series of 3 one-day cricket matches…
In a study of two groups, the following…
In an examination, 70% students passed in Physics,…
Let R be a relation from A =…
Let S be a set of all distinct…
Let f : A → R where A…
Let the random variable X follow B(6, p).…
Let f(x) be a function such that∫ from…
Out of 15 points in a plane, n…
The scores of 15 students in an examination…
The top of a hill when observed from…
There is 25% chance that it rains on…
Three candidates solve a question. Odds in favour…
Three independent events A1, A2 and A3 occur…
sin A + 2 sin 2A + sin…
Two variates x and y are uncorrelated and…
Let α and β be the roots of…
For the system of linear equations 2x +…
For the system of linear equations 2x +…
Let α and β be the roots of…
Consider the parabola y = x² + 7x…
What are the degree and order respectively of…
A line L passes through the point P(5,…
What is (1 – tan² 2° cot 62°)/(tan…
What is (1+ω²)/(1+ω) equal to, where ω is…
What is 100^100 + 200^100 + 300^100 equal…
What is 47C4 + 51C3 + ∑ (from…
What is [x y z] [a h g;…
Let a →, b → and c →…
Let a → = i + j, b…
Let f(x) = |x| – [x – 1]².…
Let f(x) = |x| – [x – 1]².…
What is ∫ (e^(sin x) cos^3 x –…
What is ∫ (√(x^4 – 1) / (x^2…
What is ∫ from 0 to 3 (1…
Let a →, b → and c →…
What is the area bounded by the curves…
The sixth term of an AP is 2…
What is the curve which passes through the…
What is the domain of the function f(x)…
What is the eccentricity of rectangular hyperbola ?
What is the equation of the hyperbola having…
A line L passes through the point P(5,…
What is the equation of the right bisector…
What is the equation of the straight line…
The sixth term of an AP is 2…
What is the greatest value of the positive…
The interior angles of a polygon of n…
What is the number of distinct solutions of…
What is the number of odd integers between…
What is the order of the differential equation…
What is the radius of the circle passing…
Consider the parabola y = x² + 7x…
What is the value of (1 + cos…
Let ax³ + bx² + cx + d…
Let a, x, y, z, b be in…
Let ax³ + bx² + cx + d…
What is the value of cos (2 cos⁻¹…
Let a, x, y, z, b be in…
Let f(x) = { –2, –3 ≤ x…
Let a, x, y, z, b be in…
2x² + 3x – α = 0 has…
Which of the following are correct in respect…
Which of the following equations is/are correct ?…
f(x) = { 3x² + 12x – 1,…
Let f(x) = [x], where [·] is the…
Let f(x) = { –2, –3 ≤ x…
Let f(x) = [x], where [·] is the…
f(x) = { 3x² + 12x – 1,…
Let f(x) = { (e^x – 1)/x, x >…
Let f(x) = { –2, –3 ≤ x…
Which one of the following differential equations represents…
Let f(x) = [x], where [·] is the…
Let f(x) = { (e^x – 1)/x, x >…
Which one of the following statements is correct…