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

Maclaurin’s series expansion of cosx is ______?Answer: cosx = 1 - x²/2!+x⁴/4!-x⁶/6! + ... Samad purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?Answer: 5.6 The standard deviation of 10, 10, 10, 10 is ____?Answer: 0 The set of points (x,y) such that: a - δ ≤ x ≤ a + δ, b − δ ≤ y ≤ b + δ determines?Answer: A square If y = x²/1+x², ∫ y dx = C + f, f = ______?Answer: None of these Derivative of 2^-x with respect to x, is ______?Answer: -2⁻ˣ·log2 ∂f/∂x = lim(h → 0) [f(x + h, y) - f(x, y)]/h, if exists, is called the partial derivative of f with respect to _____?Answer: x at (x, y) The 2024 Australian Open is won by _____?Answer: Jannik Sinner ∫¹-1 (x² - x - 1) dx = ______?Answer: -4/3 Subgroups of cyclic group is _____?Answer: Cyclic A bag contains 4 white, 5 red and 6 blue balls. Three balls drawing at random from the t them are red is _____?Answer: 2/91 In the year _______ Pakistan became an Islamic Republic?Answer: 1956 120 men can do a work in 90 days,how many more men required to complete the same work in 40 days?Answer: 270 The speaker did not properly space out his speech, but went on _____ one point only.Answer: Stressing How many days does the Hajj Pilgrimage last?Answer: 5 Who builds the first structure of the Holy Kaaba?Answer: Hazrat Ibrahim AS Which of the following organ is responsible for filtering blood?Answer: Kidney Which country hit was 7.8 magnitude earthquake on 6 February 2023?Answer: Turkiye If a square is rotated by 90 degrees, what shape does it become?Answer: Square A group generated by one of its elements, is called?Answer: A cyclic group The ratio of boys and girls is 3:4. If there are 28 students in a class, how many are the boys?Answer: 12 If the sequence is decreasing, then it _____?Answer: May converges to its infimum Which of the following is true with respect to formation of differential equation by elimination of arbitrary constants?Answer: If 'n' arbitrary constant is present, the given equation should be differentiated 'n' number of times Which of the following functions represent as implicit function, where f(x) and 'Y' are dependent variables and x denotes independent variable?Answer: f(x) = x^3 + x^2y + 4y^2 Find the value of c which satisfies the Mean Value Theorem for given function, f(x) = x^2 + 2x + 1 on [1,2]?Answer: 3/2 Which of the following is not a standard method for finding the solutions for differential equations?Answer: Orthogonal method Find lim (x,y) (0,0) sin(y)/x = ______?Answer: Does not exist The half-interval method in numerical analysis is also known as?Answer: Bisection method The Mean Value Theorem was stated and proved by?Answer: Augustin Louis Cauchy Which of the following is not a necessary condition for Cauchy's Mean Value Theorem?Answer: The derivation of g(x) be equal to 0