NDA Mathematics 2019 (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 bag contains 20 books out of which…
A binary number is represented by (cdcddccccddd)₂, where…
A car travels first 60 km at a…
A coin is biased so that heads comes…
A geometric progression (GP) consists of 200 terms.…
A ladder 9 m long reaches a point…
A point on a line has coordinates (p…
A point on the line (x − 1)/1…
A straight line passes through the point (1,…
An equilateral triangle has one vertex at (−1,…
Arithmetic mean of 10 observations is 60 and…
Consider the following discrete frequency distribution:x = 1…
Consider the following equations for two vectors a…
Consider the following statements : 1. The magnitude…
Let f(x) = x² + 2x – 5…
Consider the following statements: 1.If A and B…
Consider the following statements: 1. cosθ + secθ…
Consider the following statements in respect of the…
Consider the following statements in respect of the…
For the variables x and y, the two…
For what value of k is the function ⎧…
Let f(x) = x², g(x) = tan x…
How many real roots does the equation x²…
How many terms are there in the expansion…
How many two-digit numbers are divisible by 4?
A curve y = me^mx where m >…
If 2tanA = 3tanB = 1, then what…
If 3rd, 8th and 13th terms of a…
If 5 of a Company’s 10 delivery trucks…
If A = [[1, 2], [2, 3]] and…
If A = {x : 0 ≤ x…
If A = | 1 -1 | …
If A, B and C are subsets of…
If a and b are unit vectors and…
If a coin is tossed till the first…
If a fair die is rolled 4 times,…
If a set A contains 3 elements and…
If angle C of a triangle ABC is…
If |x² – 3x + 2| > x²…
If P(n, r) = 2520 and C(n, r)…
If V is the variance and M is…
If both p and q belong to the…
If f(x) = x³/3 – 5x²/2 + 6x…
If cosec θ = 29/21 where 0 <…
Let f(x) = x² + 2x – 5…
If n! has 17 zeros, then what is…
If p and q are the roots of…
If tanA − tanB = x and cotB…
If the angle between the lines joining the…
If the angles of a triangle ABC are…
If the constant term in the expansion of…
If the line (x − 4)/1 = (y…
If the magnitude of the sum of two…
If the middle term in the expansion of…
If the points (x, y, −3), (2, 0,…
If the range of a set of observations…
If the roots of the equation a(b –…
If the sum of first n terms of…
If x + a + b + c…
If x = 1 + i, then what…
If x^{logₓ x} > 7 where x >…
If α and β are the roots of…
In a school, 50% students play cricket and…
Consider the function f(x) = 3x⁴ – 20x³…
Consider the function f(x) = 3x⁴ – 20x³…
Let A ∪ B = {x | (x…
Let S = {2, 4, 6, 8, ………..…
Let Sₙ be the sum of the first…
Let a, b, c be in AP and…
Let m and n (m < n) be…
The class marks in a frequency table are…
Mean of 100 observations is 50 and standard…
The differential equation which represents the family of…
The equation ax + by + c =…
The mean of 5 observations is 4.4 and…
The mean weight of 150 students in a…
The median of the observations 22, 24, 33,…
There are 3 coins in a box. One…
Two dice are thrown simultaneously. What is the…
Under which one of the following conditions will…
Let f(x) = x² + 2x – 5…
What are the values of x that satisfy…
What is C(47, 4) + C(51, 3) +…
What is cos80° + cos40° – cos20° equal…
What is cot(A/2) – tan(A/2) equal to?
What is cotA + cosecA equal to?
Consider the equation xʸ = e^(x – y)…
Consider the equation xʸ = e^(x – y)…
Let f(x) = x², g(x) = tan x…
What is sin(α + β) − 2sinα cosβ…
What is tan25°tan15° + tan15°tan50° + tan25°tan50° equal…
What is tan{2 tan⁻¹(1/3)} equal to?
What is the angle between the lines xcosα…
What is the area of the region bounded…
What is the area of the region enclosed…
What is the degree of the differential equation…
What is ∫ dx / (2x² – 2x…
What is the derivative of 2^(sin x)² with…
What is ∫ dx / x(1 + ln…
What is the distance between the points P(m…
A curve y = me^mx where m >…
What is the length of the chord of…
What is the number of diagonals of an…
What is the minimum value of (a² /…
Consider the function f(x) = g(x) + h(x)where…
Consider the function f(x) = g(x) + h(x)where…
Consider the function f(x) = g(x) + h(x)where…
What is the scalar projection of a =…
A curve y = me^mx where m >…
What is the solution of x ≤ -4,…
What is the value of 1 – 2…
What is the value of 2 + 1/(2…
Consider the integralsI₁ = ∫₀^π x dx /…
Consider the integralsI₁ = ∫₀^π x dx /…
What is the value of [(i + √3)/2]²⁰¹⁹…
What is the value of k for which…
What is the value of lim (x→0) (sin…
What is the value of the determinant |1!…
Which one of the following is the differential…
Which one of the following is the second…