olving last 5 years' WBJEE papers is good practice to know the level of questions. In this article we are providing third series of questions taken from WBJEE mathematics questions paper 2014. These questions are important to check you practice for the coming WBJEE exam 2017.

Again this paper contains **5 questions (#11 to #15)** from WBJEE 2014 Mathematics paper. Here we are giving you the detailed solution off all the 5 questions, so that students can match their answers and solutions too.

**Why you should practice Previous Years’ Question Papers?**

Previous years’ question papers help aspirants in understanding exam pattern, question format, important topics and assessing preparation. It has also been seen that sometimes questions are repeated in WBJEE Exam. So, this paper will certainly boost your confidence.

**Know about WBJEE Exam:**

WBJEE is a common entrance examinations held at state level for admission to the Undergraduate Level Engineering and Medical courses in the State of West Bengal. The Mathematics section of WBJEE 2014 engineering entrance exam consists of 40 questions. So, out of 40, 5 **(#11 to #15) **questions are given below with the answers and hints:

**13. **If α, β are the roots of the quadratic equation x^{2} + px + q = 0, then the values of α^{3} + β^{3} and α^{4} + α^{2}β^{2} + β^{4} are respectively

(A) 3pq – p^{3} and p^{4} – 3p^{2}q + 3q ^{2}

(B) –p(3q – p^{2}) and (p^{2} – q)(p^{2} + 3q)

(C) pq – 4 and p^{4} – q^{4}

(D) 3pq – p^{3} and (p^{2} – q) (p^{2} – 3q)

Ans : (D)

Hints : α^{4} + β^{4} + α^{2}β^{2} α^{3} + β^{3} = (α+β)^{3} – 3αβ (α + β)

= (α^{2} + β^{2})^{2} – α^{2}β^{2}

= – p^{3} + 3pq

= (p^{2} – 2q)^{2} – q^{2}

## WBJEE 2014 Solved Mathematics Question Paper – Part 2

**15.** Let f(x) be a differentiable function in [2, 7]. If f(2) = 3 and f′(x) ≤ 5 for all x in (2, 7), then the maximum possible value of f(x) at x = 7 is

(A) 7

(B) 15

(C) 28

(D) 14

**Ans :** (C)

**Hints:**

**WBJEE 2014 Solved Mathematics Question Paper – Part 1**

**WBJEE Solved Chemistry Question Paper 2015Important topics in Mathematics for JEE Main Examination**