1
GATE ECE 2022
+1
-0.33

A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR.

Further, it is given that, PQ = 11 cm, QR = 4 cm, RS = 6 cm and SP = 3 cm. What is the shortest distance between PQ and SR (in cm) ?

A
1.80
B
2.40
C
4.20
D
5.76
2
GATE ECE 2022
+1
-0.33

The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of squares without a "hole in the interior" that can be formed within the 4 $$\times$$ 4 grid using the unit squares as building blocks?

A
15
B
20
C
21
D
26
3
GATE ECE 2022
+1
-0.33

Consider the following inequalities.

(i) 2x $$-$$ 1 > 7

(ii) 2x $$-$$ 9 < 1

Which one of the following expressions below satisfies the above two inequalities?

A
x $$\le$$ $$-$$4
B
$$-$$4 < x $$\le$$ 4
C
4 < x < 5
D
x $$\ge$$ 5
4
GATE ECE 2022
+1
-0.33

Four points P(0, 1), Q(0, $$-$$3), R($$-$$2, $$-$$1), and S(2, $$-$$1) represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral?

A
4
B
$$4\sqrt 2$$
C
8
D
$$8\sqrt 2$$
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics
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