# WBJEE 2015 Solved Mathematics Question Paper – Part 6

Find **WBJEE 2015 Solved Mathematics Question Paper – Part 6** in this article. This paper consists of 10 questions (#51 to #60) from WBJEE 2015 Mathematics paper. Detailed solution of these questions has been provided so that students can match their solutions.

**Importance of Previous Years’ Paper:**

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.

**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.

so, either tan x = –2 or tan x = 1

So, it has only one solution.

**WBJEE 2016 Solved Physics and Chemistry Question Paper**

(A) less than or equal to zero

(B) zero

(C) always even

(D) always odd

**Correct Option: (B)**

**Sol.**

**
**

**53. Let [x] denote the greatest integer less than or equal to x Then the value of α for which the function**

**
**

(A) α =0

(B) α = sin(-1)

(C) α = sin(1)

(D) α = 1

**Correct Option: (C)**

**Sol.**

For f(x) to be continuous at x = 0, we have the condition

**Correct Option: (C)**

**Sol.**

We have,

**55. Let S = {(a, b, c) ε**** N × N × N : a + b + c = 21, a ≤ b ≥ c} and**

** **

**T = {(a, b, c) ε N × N × N : a, b, c are in A.P.}, where N is the set of all natural numbers. Then the number of elements in the set S ∩ T is**

(A) 6

(B) 7

(C) 13

(D) 14

**Correct Option: (B)**

**Sol. **

We have,

**56. Let y = e ^{x2} and y = e^{x2} sin x be two given curves. Then the angle between the tangents to the curves at any point of their intersection is**

**Correct Option: (A)**

**Sol.**

**
**

So, the angle between them is zero.

**WBJEE Sample Question Paper Set-II**

**57. Area of the region bounded by y = |x| and y = –|x| + 2 is**

(A) 4 sq. units

(B) 3 sq. units

(C) 2 sq. units

(D) 1 sq. units

**Correct Option: (C)**

**Sol. **

We have curves,

y = |x|

and, y = –|x| + 2

**58. Let d(n) denote the number of divisors of n including 1 and itself. Then d(225), d(1125) and d(640) are**

(A) in AP

(B) in HP

(C) in GP

(D) consecutive integers

**Correct Option: (C)**

**Sol.**

**
**

**59. The trigonometric equation sin ^{–1}x = 2sin^{–1}2a has a real solution if**

**
**

**Correct Option: (D)**

**Sol.**

**
**

**
**

**WBJEE 2016 Solved Mathematics Question Paper**