Get free access to WBJEE 2015 Solved Mathematics Question Paper – Part 3 in this article. This paper consists of 10 questions (#21 to #30) from WBJEE 2015 Mathematics paper. Also, detailed solution of each question has been provided in this article.
About WBJEE Exam
WBJEE is a common entrance examination 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.
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.
So, the interval where the given case is satisfied is:
22. A particle starts moving from rest from a fixed point in a fixed direction. The distance s from the fixed point at a time t is given by s = t2 + at – b + 17, where a, b are real numbers. If the particle comes to rest after 5 sec at a distance of s = 25 units from the fixed point, then values of a and b are respectively
(A) 10, –33
(B) –10, –33
(C) –8, 33
(D) –10, 33
Ans : (B)
When the particle comes to rest, then its velocity is zero.
And velocity can be found out by differentiating s
(A) 2, 2
(B) 1, 2
(C) 2, 1
Ans : (A)
Again applying L Hopitals rule in (1)
Now, according to question,
25. 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
(C) 2x – 16
Let the remainder be ax + b
According to question,
P(x) = (x – 3)(x – 5) q(x) + (ax + b)
p(3) = 10
And p(5) = 6
Let us assume that,
28. In a certain town, 60% of the families own a car, 30% own a house and 20% own both a car and a house. If a family is randomly chosen, what is the probability that this family owns a car or a house but not both?
Ans : (A)
The data in the question can be represented through Venn Diagram as;
From the above Venn diagram the percentage of the family owns a car or a house but not both is
(40 + 10)% = 50 %
So, the required probability is 0.5
29. 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
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
(A) 0 (zero)
Ans : (A)