# WBJEE 2015 Solved Mathematics Question Paper – Part 6

Find WBJEE Solved Mathematics Question Paper for the year 2015. This solved paper will help students in their final level of preparation for WBJEE Exam.

Created On: Feb 7, 2017 17:04 IST 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.

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 = ex2 and y = ex2 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–1x = 2sin–12a has a real solution if

Correct Option: (D)

Sol.

WBJEE 2016 Solved Mathematics Question Paper

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