Complete GATE CE 2023 Paper 2 overview, original pages and practice · Timed previous-paper practice

Questions 4–6 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 2 of 22

Question 4

Open question
GAMCQ1 markNeeds review
There are 4 red, 5 green, and 6 blue balls inside a box. If

number of balls are picked simultaneously, what is the smallest value of

that guarantees there will be at least two balls of the same colour?
One cannot see the colour of the balls until they are picked.
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Question 5

Open question
GAMCQ1 markNeeds review
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?
Diagram for Civil Engineering question 5

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Question 6

Open question
GAMCQ2 marksNeeds review
Eveland is a country that has peculiar beliefs and practices. They express almost all their emotions by gifting flowers. For instance, if anyone gifts a white flower to someone, then it is always taken to be a declaration of one’s love for that person. In a similar manner, the gifting of a yellow flower to someone often means that one is angry with that person.
Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty?
(i) In Eveland, one always declares one’s love by gifting a white flower.
(ii) In Eveland, all emotions are declared by gifting flowers.
(iii) In Eveland, sometimes one expresses one’s anger by gifting a flower that is not yellow.
(iv) In Eveland, sometimes one expresses one’s love by gifting a white flower.
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