1
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+1
-0.33

Consider a circle with its centre at the origin (O), as shown. Two operations are allowed on the circle.

Operation 1: Scale independently along the x and y axes.

Operation 2: Rotation in any direction about the origin.

Which figure among the options can be achieved through a combination of these two operations on the given circle? 

GATE CE 2023 Set 2 General Aptitude - Numerical Ability Question 11 English
A
GATE CE 2023 Set 2 General Aptitude - Numerical Ability Question 11 English Option 1
B
GATE CE 2023 Set 2 General Aptitude - Numerical Ability Question 11 English Option 2
C
GATE CE 2023 Set 2 General Aptitude - Numerical Ability Question 11 English Option 3
D
GATE CE 2023 Set 2 General Aptitude - Numerical Ability Question 11 English Option 4
2
GATE CE 2023 Set 1
MCQ (Single Correct Answer)
+1
-0.33

In the given figure, PQRSTV is a regular hexagon with each side of length 5 cm. A circle is drawn with its centre at V such that it passes through P. What is the area (in cm2 ) of the shaded region? (The diagram is representative) 

GATE CE 2023 Set 1 General Aptitude - Numerical Ability Question 17 English
A
$\frac{25\pi}{3}$
B
$\frac{20\pi}{3}$
C
D
3
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point P facing East.

The ant first turns 72$$^\circ$$ anticlockwise at P, and then does the following two steps in sequence exactly FIVE times before halting.

GATE CE 2022 Set 2 General Aptitude - Numerical Ability Question 32 English

1. moves forward for 10 cm.

2. turns 144$$^\circ$$ clockwise

The pattern made by the trade left behind by the ant is

A
GATE CE 2022 Set 2 General Aptitude - Numerical Ability Question 32 English Option 1
B
GATE CE 2022 Set 2 General Aptitude - Numerical Ability Question 32 English Option 2
C
GATE CE 2022 Set 2 General Aptitude - Numerical Ability Question 32 English Option 3
D
GATE CE 2022 Set 2 General Aptitude - Numerical Ability Question 32 English Option 4
4
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

$$x:y:z = {1 \over 2}:{1 \over 3}:{1 \over 4}$$

What is the value of $${{x + z - y} \over y}$$ = ?

A
1.25
B
0.75
C
3.25
D
2.25
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