Find **WBJEE 2015 Solved Mathematics Question Paper – Part 1** in this article. This paper consists of 10 questions from WBJEE 2015 Mathematics paper. Detailed solution of these questions has been provided so that students can match their solutions.

**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 WBJEE engineering entrance exam has two sections – Mathematics, Physics and Chemistry. The Mathematics section of WBJEE 2015 engineering entrance exam consists of 80 questions.

**Importance of Previous Years’ Paper:**

Previous year 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.

(A) 10

(B) 12

(C) 8

(D) 16

**Ans. (B)**

**Sol.**

By applying L Hopital’s rule:

(A) 1

(B) 2

(C) 3

(D) -1

**Ans. (B)**

**Sol.**

(A) 1

(B) 2

(C) 3

(D) 4

**Ans: (C)**

**Sol.**

We have,

The graph of the above function can be shown as below:

So, the given equation has three real solutions.

**5.** Which of the following is not always true?

(A) 1

(B) 2

(C) – 1

(D) 0

**Ans. (A)**

**Sol. **

Let

**Ans: (A)**

**Sol.**

Let,

**Ans: (A)**

**Sol.**

**10.** If A and B are two matrices such that AB = B and BA = A, then A^{2} + B^{2} equals

(A) 2AB

(B) 2BA

(C) A + B

(D) AB

**Ans. (C)**

**Sol.**

A^{2} + B^{2} = A.A + B.B = A (BA) + B (AB) = BA + AB = A + B