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301 questions found · practise this subject as a set
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| # | Question | Subject and topic | Difficulty |
|---|---|---|---|
| 1 | What is the derivative of x² at x = 3? | Mathematics/Applied Mathematics Second-order derivatives |
Easy |
| 2 | ∫ 2x dx is equal to: | Mathematics/Applied Mathematics Indefinite integrals |
Easy |
| 3 | Two fair dice are thrown. What is the probability that the sum is 7? | Mathematics/Applied Mathematics Conditional probability |
Medium |
| 4 | What is the value of the determinant of the matrix [[2, 3], [1, 4]]? | Mathematics/Applied Mathematics Determinants |
Easy |
| 5 | If f(x) = 2x + 3, what is f⁻¹(7)? | Mathematics/Applied Mathematics Types of functions |
Medium |
| 6 | How many elements are in the power set of a set with 3 elements? | Mathematics/Applied Mathematics Types of relations |
Easy |
| 7 | On A = {1, 2, 3}, the relation R = {(1, 1), (2, 2), (3, 3), (1, 2)} is | Mathematics/Applied Mathematics Types of relations |
Easy |
| 8 | How many relations can be defined on a set with 2 elements? | Mathematics/Applied Mathematics Types of relations |
Easy |
| 9 | On the set of integers, a R b means 5 divides a − b. Which set is the equivalence class of 2? | Mathematics/Applied Mathematics Types of relations |
Medium |
| 10 | The relation "line l₁ is perpendicular to line l₂" on the set of all lines in a plane is | Mathematics/Applied Mathematics Types of relations |
Medium |
| 11 | How many equivalence relations on {1, 2, 3} contain the pair (1, 2)? | Mathematics/Applied Mathematics Types of relations |
Hard |
| 12 | The function f : R → R given by f(x) = 2x + 3 is | Mathematics/Applied Mathematics Types of functions |
Easy |
| 13 | The function f : R → R defined by f(x) = x² is | Mathematics/Applied Mathematics Types of functions |
Easy |
| 14 | If f : R → R is defined by f(x) = 3x − 2, then f⁻¹(x) equals | Mathematics/Applied Mathematics Types of functions |
Medium |
| 15 | If f(x) = x² and g(x) = x + 1, what is (fog)(2) − (gof)(2)? | Mathematics/Applied Mathematics Types of functions |
Medium |
| 16 | How many one-one functions are there from {1, 2, 3} to {a, b, c, d}? | Mathematics/Applied Mathematics Types of functions |
Hard |
| 17 | The principal value of sin⁻¹(−½) is | Mathematics/Applied Mathematics Inverse trigonometric functions |
Easy |
| 18 | The range of the principal value branch of cos⁻¹x is | Mathematics/Applied Mathematics Inverse trigonometric functions |
Easy |
| 19 | The value of cos⁻¹(cos 7π/6) is | Mathematics/Applied Mathematics Inverse trigonometric functions |
Medium |
| 20 | The value of tan⁻¹(1) + cos⁻¹(−½) + sin⁻¹(−½) is | Mathematics/Applied Mathematics Inverse trigonometric functions |
Medium |