Question Library
Browse our collection of questions across various subjects
Mathematics
Easy
View
Ifx = a / (b – c), y = b / (c – a), z = c / (a – b)then what…
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
If i = √–1, then how many values does i⁻²ⁿ have for different n ∈ Z ?
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
How many distinct matrices exist with all four entries taken from {1, 2}?
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
Consider the digits 3, 5, 7, 9. What is the number of 5-digit numbers formed by these digits in which…
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
If the roots of the equation 4x² – (5k + 1)x + 5k = 0 differ by unity, then which…
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
Let Sₖ denote the sum of first k terms of an AP. What is S₃₀ / (S₂₀ – S₁₀) equal…
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
Suppose set A consists of first 250 natural numbers that are multiples of 3 and set B consists of first…
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
What is the value of the following determinant?| cos C tan A 0 || sin B 0 –tan A || 0 sin B cos C |
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
Let ABC be a triangle. If cos 2A + cos 2B + cos 2C = –1 then which one of…
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
If log₁₀2 log₂10 + log₁₀(10ˣ) = 2, then what is the value of x ?
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
Consider the following statements in respect of relations and functions : 1. All relations are functions but all functions are…
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
Consider three sets X, Y and Z having 6, 5 and 4 elements respectively. All these 15 elements are distinct.…
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
Consider the following statements in respect of sets: 1. The union over intersection of sets is distributive. 2. The complement…
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
For what value of θ, where 0 < θ < π/2, does sin θ + sin θ cos θ attain…
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
Let the equation sec x·cosec x = p have a solution, where p is a positive real number. What should…
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
Consider the following statements in respect of the roots of the equation x³ – 8 = 0: The roots are…
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
Let p, q and 3 be respectively the first, third and fifth terms of an AP. Let d be the…
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
Let 4 sin²x = 3, where 0 ≤ x ≤ π. What is tan 3x equal to?
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
What is the value of the following?cot[sin⁻¹(3/5) + cot⁻¹(3/2)]
NDA Mathematics 2021
NDA 2021
Mathematics
Easy
View
Let A = | 0 2 | | –2 0 | and (mI + nA)² = Awhere m, n are positive real…
NDA Mathematics 2021
NDA 2021