GATE CE format:mcq PYQs & Answers — Page 22

Questions 211–220 of 724. Imported answers require independent review unless marked reviewed.

A duck named Donald Duck says “All ducks always lie.”

Based only on the information above, which one of the following statements can be logically inferred with certainty?

Your answerChoose one option.

Donald Duck always lies.

Donald Duck always tells the truth.

Donald Duck’s statement is true.

Donald Duck’s statement is false.

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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.

Your answerChoose one option.

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A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line.

The figure below consists of 20 unit squares arranged as shown. In addition to the given black squares, up to 5 more may be coloured black. Which one among the following options depicts the minimum number of boxes that must be coloured black to achieve two lines of symmetry? (The figure is representative)

Diagram for Civil Engineering question 5

Your answerChoose one option.

c, d, i

c, i

c, d, i, f, g

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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?

Your answerChoose one option.

Diagram for Civil Engineering question 5 (figure 2)

Diagram for Civil Engineering question 5 (figure 3)

Diagram for Civil Engineering question 5 (figure 4)

Diagram for Civil Engineering question 5 (figure 5)

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Based only on the truth of the statement ‘Some humans are intelligent’, which one of the following options can be logically inferred with certainty?

Your answerChoose one option.

No human is intelligent.

All humans are intelligent.

Some non-humans are intelligent.

Some intelligent beings are humans.

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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.

Your answerChoose one option.

only (ii)

(i), (ii) and (iii)

(i), (iii) and (iv)

only (iv)

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Which one of the options can be inferred about the mean, median, and mode for the given probability distribution (i.e. probability mass function),

, of a variable

Diagram for Civil Engineering question 7

Your answerChoose one option.

mean = median ≠ mode

mean = median = mode

mean ≠ median = mode

mean ≠ mode = median

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Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many seating arrangements are possible such that every husband sits next to his wife?

Your answerChoose one option.

120

720

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The James Webb telescope, recently launched in space, is giving humankind unprecedented access to the depths of time by imaging very old stars formed almost 13 billion years ago. Astrophysicists and cosmologists believe that this odyssey in space may even shed light on the existence of dark matter. Dark matter is supposed to interact only via the gravitational interaction and not through the electromagnetic, the weak- or the strong-interaction. This may justify the epithet “dark” in dark matter.

Based on the above paragraph, which one of the following statements is FALSE?

Your answerChoose one option.

No other telescope has captured images of stars older than those captured by the James Webb telescope.

People other than astrophysicists and cosmologists may also believe in the existence of dark matter.

The James Webb telescope could be of use in the research on dark matter.

If dark matter was known to interact via the strong-interaction, then the epithet “dark” would be justified.

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Based only on the following passage, which one of the options can be inferred with certainty?

When the congregation sang together, Apeno would also join, though her little screams were not quite audible because of the group singing. But whenever there was a special number, trouble would begin; Apeno would try singing along, much to the embarrassment of her mother. After two or three such mortifying Sunday evenings, the mother stopped going to church altogether until Apeno became older and learnt to behave.

At home too, Apeno never kept quiet; she hummed or made up silly songs to sing by herself, which annoyed her mother at times but most often made her become pensive. She was by now convinced that her daughter had inherited her love of singing from her father who had died unexpectedly away from home.

[Excerpt from These Hills Called Home by Temsula Ao]

Your answerChoose one option.

The mother was embarrassed about her daughter’s singing at home.

The mother’s feelings about her daughter’s singing at home were only of annoyance.

The mother was not sure if Apeno had inherited her love of singing from her father.

When Apeno hummed at home, her mother tend to become thoughtful.

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GATE CE format:mcq PYQs

Question 4

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Question 5

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Question 6

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Question 7

Question 7

Question 8

Question 8