Candidates can prepare for the GATE Exam (2015) by referring the questions (and the answer key) of the previous year GATE exam (2014). 5 questions asked in Production & Industrial Engineering Paper of Engineering Exam 2014 are as follows:

1. The system of equations, given below, has

x+2y+4z=2
4x+3y+z=5
3x+2y+3z=1

(A) a unique solution
(B) two solutions
(C) no solution
(D) more than two solutions

2. Directional derivative of 2 ϕ = − 2xz y , at the point (1, 3, 2), becomes maximum in the direction of

(A) 4i + 2j -3k
(B) 4i – 6j + 2k
(C) 2i – 6j + 2k
(D) 4i – 6j – 2k

3. A metallic sphere of 0.1 m diameter has a thermal conductivity of 10 W/m-K. If the fluid flowing around it has a heat transfer coefficient of 10 W/m2-K and thermal conductivity of 0.4 W/m-K, the value of Biot number is ___

4. A quantitative measure of maintainability is

(A) Downtime
(B) Mean Time Between Failure
(C) Mean Time To Repair
(D) System availability

5. Which one of the following techniques is used to analyze the cause and effect of product failure?

(A) Quality Function Deployment
(B) Fault Tree Analysisi
(C) Value Analysis
(D) Failure Mode and Effect Analysis

Click here to go through full question paper on the official website of GATE