WBJEE Solved Mathematics Question Paper 2015

It is very important to solve previous years’ papers before appearing for any engineering entrance examination. After solving previous years’ papers, students get an idea about the difficulty level, paper pattern and important topics.

In this article, engineering aspirants will get WBJEE Solved Mathematics Question Paper 2015. Students can score a maximum of 100 marks in this paper. 80 questions in this paper are divided into three categories, which will be based on distribution of different pattern of marking scheme.

Category 1

Category 2

Category 3

Few sample questions from the Mathematics Question Paper are given below:

Question:

Let P(x) be a polynomial, which when divided by x – 3 and x – 5 leaves remainders 10 and 6 respectively. If the polynomial is divided by (x –3) (x–5) then the remainder is

(A) –2x + 16

(B) 16

(C) 2x – 16

(D) 60

Solution:

Let the remainder be ax + b

According to question,

P(x) = (x – 3)(x – 5) q(x) + (ax + b)

We have,

p(3) = 10

And p(5) = 6

Hence, the correct option is (a).

Question:

The letters of the word COCHIN are permuted and all the permutations are arranged in alphabetical order as in English dictionary. The number of words that appear before the word COCHIN is

(A) 360

(B) 192

(C) 96

(D) 48

Solution:

In dictionary the words starting from CC, CH, CI and CN will appear first

Now, fixing CC the remaining 4 letters O, H, I and N can be arranged in 4! ways.

Similarly the words starting from CH, CI and CN will also be arranged in 4! ways.

So, number of words that appear before the word COCHIN is (4!)4 = 96

Hence, the correct option is (C).

Question:

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 

Solution:

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

Hence, the correct option is (D).

Students can use the links given below to view solved question paper of Mathematics.

Solved Mathematics Question Paper

Part 1

Part 2

Part 3

Part 4

Part 5

Part 6

Part 7

Part 8

Part 9

Conclusion:

Students can easily get an idea about the difficulty level, paper pattern and important topics with the help of previous years’ papers help. So, it is very important for students to go through the previous years’ papers before appearing for any engineering entrance examination.

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