SPSC - Lecturer Mathematics 2000 Past Paper with Answers

Practice the SPSC - Lecturer Mathematics 2000 past paper with 192 solved MCQs, answers and topic coverage.

192 solved MCQs across 2 approved papers

If f(x) = x³ - (1/x³), then f(x) + f(1/x) is equal to ____?Answer: 0 Questions always use an auxiliary verb?Answer: False Fill in the blank with suitable choice: He was ______ to give this confessional statement.Answer: Coerced The main verb and the direct object are not formally separated?Answer: True The cardinality of the power set of {x: x ∈ N, x ≤ 10} is?Answer: 1024 Leibniz's theorem is used to find the nth derivative of ______?Answer: Product of two functions A preposition is usually followed by a Noun?Answer: True Fill in the blank with suitable choice: Fares are _____ high in this city.Answer: Exorbitantly The hyperbolic function tanh y = _____?Answer: (e^y - e^(-y)) / (e^y + e^(-y)) The Synonym of Ravenous is?Answer: Voracious n(n + 1)(n + 5) is a multiple of ______?Answer: 3 If (Z, ∗) is a group with a ∗ b = a + b + 1, ∀a, b ∈ Z. The inverse of a is?Answer: -a -2 Fill in the blank with suitable choice: The front line soldiers survived the _____ by the enemy.Answer: Onslaught The range of the function f(x) = 3x - 2, is?Answer: (-∞, ∞) The Antonym of Sedulity is?Answer: Carelessness Fill in the blank with suitable choice: Only a few countries have enough weapons to _____ rest of the world.Answer: Annihilate The Differential Equation formed by y = across + bsinx + 4, where a and b are arbitrary constant is?Answer: d²y/dx² + y = 4 For what value of λ the system [1 3, 3 λ][x y] = [1 3] has infinitely many solutions?Answer: λ = 9 The number of non-zero rows in the row echelon form of a matrix is known as ____?Answer: Rank of A The lines which are neither parallel nor do they intersect are called?Answer: Skew The slope of tangent to the curve y³x + y²x² = 6at (2, 1) is &_____?Answer: -5/14 If 1 - I, is a root of the equation x² + ax + b = 0, where a, b, ∈ R, then the value of a - b is?Answer: -4 ∫ lnxdx = - - - - - -?Answer: xlnx – x + c The 3rd June Plan was worked out/announced by _____?Answer: Lord Mountbatten Which of the following property doesn't satisfied by the matrices?Answer: Matrix multiplication is commutative The next term of the the given sentence 1,5, 14, 30, 55, ____, is?Answer: 91 Lagrange's mean value theorem is a particular case of _____? Cauchy's mean value theorem,Answer: Cauchy's mean value theorem The fraction equivalent to 2/5% is _____?Answer: 1/250 The Partial Differential Equation ∂²U/∂x² + ∂²U/∂y² = f (x,y) is known as?Answer: Poisson equation Two non-coplanar straight lines neither intersect nor they are parallel. Such straight lines are called?Answer: Skew lines