Past Papers KP PMS Applied Mathematics
K.P.K, PUBLIC SERVICE COMMISSION, PESHAWAR COMPETATIVE EXAMINATION FOR PROVINCIAL MANAGEMENT SERVICE, 2010 APPLIED MATHEMATICS, PAPER-II TIME: 3 hours Max Marks: 100 Note: Attempt only FIVE questions, selecting at least ONE question from each section. Each part carries 10 marks. SECTION A Q.1 Solve any two of the following differential equations. (i) x + y –…
NWFP PUBLIC SERVICE COMMISSION COMPETITIVE EXAMINATION FOR THE POSTS OF PROVINCIAL MANAGEMENT SERVICE (BPS-17) 2010 APPLIED MATHEMATICS PAPER-I MARKS: 100 TIME: 03 Hours Note: Attempt any TWO questions from section A and any THREE questions from section B. SECTION – A Q NO 1. Explain the gradient of scalar field and also find the Mathematical…
NWFP PUBLIC SERVICE COMMISSION, PESHAWAR COMPETITIVE EXAMINATION FOR PROVINCIAL MANAGEMENT SERVICE, 2008. APPLIED MATHEMATICS, PAPER-I Time: 3 hours. Max Marks: 100 Note: Attempt only FIVE questions selecting at least TWO questions from each section. Each part carries 10 marks. SECTION-A Q.1. (a). Prove that vectors |a|b + |b|a and |a|b – |b|a are perpendicular to…
KHYBER PAKHTUNKHWA, PUBLIC SERVICE COMMISSION COMPETITIVE EXAMINATION FOR THE POSTS OF PROVINCIAL MANAGEMENT SERVICES (BPS-17) 2013 APPLIED MATHEMATICS, PAPER-II TIME ALLOWED: 03 HOURS MAX.MARKS: 100 Note:- Attempt any Five Questions, selecting two questions from Section-A, ONE question from Section-B and two questions from Section-C. All questions carry equal marks. SECTION-A Q1. (a) Solve the differential…
K.P.K, PUBLIC SERVICE COMMISSION, PESHAWAR COMPETITIVE EXAMINATION FOR PROVINCIAL MANAGEMENT SERVICE, 2013 APPLIED MATHEMATICS, PAPER-I TIME: 3 hours Max Marks: 100 Note: Attempt only FIVE questions, selecting at least TWO questions from each section. SECTION A Q.1 (a) If \(\vec{A} = 3xyz^2\hat{i} + 2xy^3\hat{j} – x^2yz\hat{k}\) and \(\phi(x,y,z) = 3x^2 – yz\). Find: (i) \(\nabla…
KHYBER PAKHTUNKHWA PUBLIC SERVICE COMMISSION COMPETITIVE EXAMINATION FOR THE POSTS OF PMS-2022 APPLIED MATHEMATICS PAPER-II Time Allowed: 03 Hours Maximum Marks: 100 Instructions: Attempt total FIVE questions, TWO questions from Section-A, ONE question from Section-B and TWO questions from Section-C. Section-A By using the method of undetermined coefficients, solve the following differential equation: $y” +…
KHYBER PAKHTUNKHWA PUBLIC SERVICE COMMISSION COMPETITIVE EXAMINATION FOR THE POSTS OF PMS-2022 APPLIED MATHEMATICS PAPER-I Time Allowed: 03 Hours Maximum Marks: 100 Instructions: Attempt total FIVE questions, TWO questions from Section-A and THREE questions from Section-B. Section-A Describe the geometrical interpretation of magnitude of $\vec{A} \cdot \vec{B} \times \vec{C}$ (10) Prove that $(\vec{A} + \vec{B})…