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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.

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.

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.

WBJEE 2015, Mathematics

so, either tan x = –2 or tan x = 1

So, it has only one solution.

WBJEE 2016 Solved Physics and Chemistry Question Paper

WBJEE 2015, Mathematics

(A) less than or equal to zero

(B) zero

(C) always even

(D) always odd

Correct Option: (B)

Sol.

WBJEE 2015, Mathematics

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

WBJEE 2015, Mathematics

(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

WBJEE 2015, Mathematics

WBJEE 2015, Mathematics

Correct Option: (C)

Sol.

We have,

WBJEE 2015, Mathematics

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,

WBJEE 2015, Mathematics

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

WBJEE 2015, Mathematics

Correct Option: (A)

Sol.

WBJEE 2015, Mathematics

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

WBJEE 2015, Mathematics

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.

WBJEE 2015, Mathematics

59. The trigonometric equation sin–1x = 2sin–12a has a real solution if

WBJEE 2015, Mathematics

Correct Option: (D)

Sol.

WBJEE 2015, Mathematics

WBJEE 2015, Mathematics

WBJEE 2016 Solved Mathematics Question Paper