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Subject Revision:Engineering Mathematics & General Aptitude Quiz

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Question 1

Consider the matrix

which is obtained by reversing the order of the columns of the identity matrix

.
Let

where

is a non-negative real number. The value of

for which

_____.

Question 2

The system of linear equations
4x + 2y = 7
2x + y = 6
has

Question 3

The missing number of the series is ____
13, 27, 53, ___ 213, 427, 853

Question 4

A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is.

Question 5

In spherical coordinates, let

denote unit vectors along the θ, φ directions

represent the electric and magnetic field components of the EM wave at large distances r from a dipole antenna, in free space. The average power (W) crossing the hemispherical shell located at r = 1 km, 0 ≤ θ ≤ π/2 is ________

Question 6

A box contains 20 defective items and 80 non-defective items. If two items are selected at random without replacement, what will be the probability that both items are defective?

Question 7

A random variable X with uniform density in the interval 0 to 1 is quantized as follows:
If 0 ≤ X ≤ 0.3, x_q = 0
If 0.3 < X ≤ 1, x_q = 0.7
Where x_q is the quantized value of X
The root-mean square value of the quantization noise is

Question 8

Chinnaswamy is driving to pick up his son from school on a Saturday which is a half day. on his way to school he crossed a church which is 1/5^th of the way to school at 9: 50 hours and exactly 10 minutes later, he went past a temple which is 1/3^rd of the way to school. The time after 10:00 hours at which he reaches his son’s school is _______ minutes.

Question 9

A test has twenty questions worth 100 marks in total. There are two types of questions, multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?

Question 10

Among 150 faculty members in an institute, 55 are connected with each other through Facebook and 85 are connected through WhatsApp. 30 faculty members do not have Facebook or WhatsApp accounts. The number of faculty members connected only through Facebook accounts is ______.

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ESE & GATE EC General

Mar 20ESE & GATE EC