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WBJEE 2015 Solved Mathematics Question Paper – Part 2

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

Jan 25, 2017 16:01 IST
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Find WBJEE 2015 Solved Mathematics Question Paper – Part 2 in this article. This paper consists of 10 questions (#11 to #20) 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 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.

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_math

wbjee 2015 math

WBJEE 2016 Solved Physics and Chemistry Question Paper

12. Let a, b, c, d be any four real numbers. Then an + bn = cn + dn holds for any natural number n if

(A) a + b = c + d

(B) a – b = c – d

(C) a + b = c + d, a2 + b2 = c2 + d2

(D) a – b = c – d, a2 – b2 = c2 – d2

Ans. (D)

Sol.

Put n = 1, a + b = c + d          ...... (1)

Put n = 3, a3 + b3 = c3 + d3         ........... (2)

from (1) and (2) ab = cd

Consider a quadratic with roots (a3, b3)

x2 – (a3 + b3)x + a3b3 = 0 ........ (3)

Consider another quadratic with roots (c3, d3)

x2 – (c3 + d3)x + (cd)3 = 0 ................. (4)

Since a3 + b3 = c3 + d3 and (cd)3 = (ab)3

Both quadratic are same and quadratic cannot have more than 2 roots.

Here, a = c and b = d or a = d, b = c

wbjee 2015 math

(A) 0

(B) 1

(C) – 1

(D) p

Ans. (A)

Sol.

wbjee 2015 math

wbjee 2015 math

(A) 90

(B) 88

(C) 93

(D) 95

Ans. (No option is correct)

Sol.

We have the binomial expression,

wbjee 2015 math

Except, r = 0, 15, 30, 45, 60, 75, 90 each term will give irrational terms.

So, there are 7 rational terms

Total number of terms in the given binomial expression = 101

No. of irrational terms

= 101 – 7 = 94

WBJEE Sample Question Paper Set-II

wbjee 2015 math

(A) p2 – 16p – 8q < 0

(B) p2 – 8p + 16q < 0

(C) p2 – 8p – 16q < 0

(D) p2 – 16p + 8q < 0

Ans. (C)

Sol.  

We have,

wbjee 2015 math

wbjee 2015 math

(A) 0 (zero)

(B) – 1

(C) 1

(D) i

Ans. (B)

Sol.

We know that by the property of cube root of unity:

wbjee 2015 math

wbjee 2015 math

By using the property of modulus, we have

wbjee 2015 math

wbjee 2015 math

Ans. (D)

Sol.

wbjee 2015 math

wbjee 2015 math

(A) 2

(B) 4

(C) 16

(D) 8

Ans. (D)

Sol.

We have,

wbjee 2015 math

Now, when the lines are concurrent then they satisfy all the equations simultaneously at certain point.

From (2) and (3)

wbjee 2015 math

Minimum value of t is obtained when a = 4

So, the least possible value of t = 8

wbjee 2015 math

Ans : (B)

Sol.

We have,

wbjee 2015 math

WBJEE 2016 Solved Mathematics Question Paper

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