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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 11 of 23

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Q101.
Identify the correct translation into logical notation of the following assertion.

"Some boys in the class are taller than all the girls"

Note : taller(x,y) is true if x is taller than y.

a.

(∃x) (boy(x) → (∀y) (girl(y) ∧ taller(x,y)))

b.

(∃x) (boy(x) ∧ (∀y) (girl(y) ∧ taller(x,y)))

c.

(∃x) (boy(x) → (∀y) (girl(y) → taller(x,y)))

d.

(∃x) (boy(x) ∧ (∀y) (girl(y) → taller(x,y)))

Discuss
Answer: (d).(∃x) (boy(x) ∧ (∀y) (girl(y) → taller(x,y)))
Q102.
If a fair coin is tossed four times. What is the probability that two heads and two tails will result?

a.

3/8

b.

1/2

c.

5/8

d.

2/4

Discuss
Answer: (a).3/8
Q103.
The number of different n × n symmetric matrices with each element being either 0 or 1 is:
(Note: power(2, x) is same as 2x)

a.

power(2, n)

b.

power(2, n^2)

c.

power(2, (n^2 + n)/2)

d.

power(2, (n^2 - n)/2)

Discuss
Answer: (c).power(2, (n^2 + n)/2)
Q104.
Let A, B, C, D be n × n matrices, each with non-­zero determinant. If ABCD = 1, then B-1 is

a.

D^-1C^-1A^-1

b.

CDA

c.

ADC

d.

Does not necessarily exist

Discuss
Answer: (b).CDA
Q105.
What is the result of evaluating the following two expressions using three-digit floating point arithmetic with rounding?

(113. + -111.) + 7.51
113. + (-111. + 7.51)

a.

9.51 and 10.0 respectively

b.

10.0 and 9.51 respectively

c.

9.51 and 9.51 respectively

d.

10.0 and 10.0 respectively

Discuss
Answer: (a).9.51 and 10.0 respectively
Q106.
The tightest lower bound on the number of comparisons, in the worst case, for comparison-based sorting is of the order of

a.

n

b.

n^2

c.

n log n

d.

n log2 n

Discuss
Answer: (c).n log n
Q107.
The problems 3-SAT and 2-SAT are

a.

both in P

b.

both NP-complete

c.

NP-complete and in P respectively

d.

undecidable and NP-complete respectively

Discuss
Answer: (c).NP-complete and in P respectively
Q108.
The following propositional statement is

(P → (Q v R)) → ((P ^ Q) → R)

a.

satisfiable but not valid

b.

valid

c.

a contradiction

d.

none of the above

Discuss
Answer: (a).satisfiable but not valid
Q109.
How many solutions does the following system of linear equations have ?

-x + 5y = -1
x - y = 2
x + 3y = 3

a.

infinitely many

b.

two distinct solutions

c.

unique

d.

none of these

Discuss
Answer: (c).unique
Q110.
An examination paper has 150 multiple-choice questions of one mark each, with each question having four choices. Each incorrect answer fetches -0.25 mark. Suppose 1000 students choose all their answers randomly with uniform probability. The sum total of the expected marks obtained by all these students is:

a.

0

b.

2550

c.

7525

d.

9375

Discuss
Answer: (d).9375
Page 11 of 23

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