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WBJEE 2015 Solved Mathematics Question Paper – Part 5

Feb 6, 2017 15:57 IST

    Find WBJEE 2015 Solved Mathematics Question Paper – Part 5 in this article. This paper consists of 10 questions (#41 to #50) 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

    WBJEE 2015, Mathematics

    WBJEE 2016 Solved Physics and Chemistry Question Paper

    WBJEE 2015, Mathematics

    (A) 1                                      (B) 2

    (C) 4                                      (D) 5

    Sol.

    Let the required point be (h, k)

    The distance from the straight line x – 2y + 1 = 0

    WBJEE 2015, Mathematics

    Any one of equations (1) combined with any one of equations (2) will yield 4 points.

    WBJEE 2015, Mathematics

    WBJEE 2015, Mathematics

    44. The least value of 2x2 + y2 + 2xy + 2x – 3y + 8 for real numbers x and y is

    (A) 2

    (B) 8

    (C) 3

    (D) 1

    Sol.

    We have,

    WBJEE 2015, Mathematics

    WBJEE Sample Question Paper Set-II

    WBJEE 2015, Mathematics

    Sol.

    A continuous function assuming only irrational value must be constant function.

    WBJEE 2015, Mathematics

    WBJEE 2015, Mathematics

    WBJEE 2015, Mathematics

    WBJEE 2015, Mathematics

    (A) 1/3

    (B) 1/9

    (C) 1/81

    (D) 0

    Sol.

    We have,

    WBJEE 2015, Mathematics

    48. The variance of first 20 natural numbers is

    (A) 133/4

    (B) 279/12

    (C) 133/2

    (D) 399/4

    Sol.

    WBJEE 2015, Mathematics

    49. A fair coin is tossed a fixed number of times. If the probability of getting exactly 3 heads equals the probability of getting exactly 5 heads, then the probability of getting exactly one head is

    (A) 1/64

    (B) 1/32

    (C) 1/16

    (D) 1/8

    Sol.

    WBJEE 2015, Mathematics

    50. If the letters of the word PROBABILITY are written down at random in a row, the probability that two B-s are together is

    (A) 2/11

    (B) 10/11

    (C) 3/11

    (D) 6/11

    Sol.

    When two B’s are together it can be considered as one object.

    So, total number of ways in which the letters of the word PROBABILITY are arranged such that that two

    WBJEE 2015, Mathematics

    WBJEE 2016 Solved Mathematics Question Paper

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