GATE CE 2023 Paper 1 — page 3

Questions 7–9 of 65. Imported answers require review unless explicitly marked reviewed.

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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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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Let

, and

. Consider the following numbers:

Which one of the following inequalities is CORRECT?

Your answerChoose one option.

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2023 · Paper 1

Question 7

Question 8

Question 9