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Welcome to the Engineering Mathematics MCQs Page

Dive deep into the fascinating world of Engineering Mathematics with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Engineering Mathematics, a crucial aspect of GATE CSE Exam. In this section, you will encounter a diverse range of MCQs that cover various aspects of Engineering Mathematics, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within GATE CSE Exam.

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Check out the MCQs below to embark on an enriching journey through Engineering Mathematics. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of GATE CSE Exam.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Engineering Mathematics. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Engineering Mathematics MCQs | Page 6 of 23

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Q51.
The minimum number of cards to be dealt from an arbitrarily shuffled deck of 52 cards to guarantee that three cards are from some same suit is

a.

3

b.

8

c.

9

d.

12

Discuss
Answer: (c).9
Q52.
An n x n array v is defined as follows:

v[i, j] = i-j for all i, j, 1 <= i <= n, 1 <= j <= n

The sum of the elements of the array v is

a.

0

b.

n-1

c.

n^2 - 3n + 2

d.

n^2 (n+1)/2

Discuss
Answer: (a).0
Q53.
The determinant of the matrix is

a.

5

b.

0

c.

4

d.

20

Discuss
Answer: (c).4
Q54.
X, Y and Z are closed intervals of unit length on the real line. The overlap of X and Y is half a unit. The overlap of Y and Z is also half a unit. Let the overlap of X and Z be k units. Which of the following is true?

a.

k must be 1

b.

k must be 0

c.

k can take any value between 0 and 1

d.

None of the above

Discuss
Answer: (d).None of the above
Q55.
E1 and E2 are events in a probability space satisfying the following constraints:

Pr(E1) = Pr(E2)
Pr(EI U E2) = 1
E1 and E2 are independent

The value of Pr(E1), the probability of the event E1 is

a.

0

b.

1/4

c.

1/2

d.

1

Discuss
Answer: (d).1
Q56.
Which of the following statements is true ?

a.

S > T

b.

S = T

c.

S < T and 2S > T

d.

2S <= T

Discuss
Answer: (a).S > T
Q57.
A polynomial p(x) satisfies the following:

p(1) = p(3) = p(5) = 1
p(2) = p(4) = -1

The minimum degree of such a polynomial is

a.

1

b.

2

c.

3

d.

4

Discuss
Answer: (d).4
Q58.
A relation R is defined on the set of integers as xRy if f(x + y) is even. Which of the following state­ments is true?

a.

R is not an equivalence relation

b.

R is an equivalence relation having 1 equivalence class

c.

R is an equivalence relation having 2 equivalence classes

d.

R is an equivalence relation having 3 equivalence classes

Discuss
Answer: (c).R is an equivalence relation having 2 equivalence classes
Q59.
Let P(S) denotes the power set of set S. Which of the following is always true?

a.

a

b.

b

c.

c

d.

d

Discuss
Answer: (b).b
Q60.
Let a, b, c, d be propositions. Assume that the equivalences a ↔ (b V-b) and b ↔ c hold. Then the truth value of the formula (a ∧ b) → (a ∧ c) ∨ d) is always

a.

True

b.

False

c.

Same as the truth value of b

d.

Same as the truth value of d

Discuss
Answer: (a).True
Page 6 of 23

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