GATE XE discipline:engineering-sciences PYQs & Answers — Page 56

Questions 551–560 of 1772. Imported answers require independent review unless marked reviewed.

Which one among the following statements must be TRUE about the mean and the median of the scores of all candidates appearing for GATE 2023?

Your answerChoose one option.

The median is at least as large as the mean.

The mean is at least as large as the median.

At most half the candidates have a score that is larger than the median.

At most half the candidates have a score that is larger than the mean.

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In the given diagram, ovals are marked at different heights (

) of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill?

Diagram for Engineering Sciences question 5

Your answerChoose one option.

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Residency is a famous housing complex with many well-established individuals among its residents. A recent survey conducted among the residents of the complex revealed that all of those residents who are well established in their respective fields happen to be academicians. The survey also revealed that most of these academicians are authors of some best-selling books.

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

Your answerChoose one option.

Some residents of the complex who are well established in their fields are also authors of some best-selling books.

All academicians residing in the complex are well established in their fields.

Some authors of best-selling books are residents of the complex who are well established in their fields.

Some academicians residing in the complex are well established in their fields.

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Ankita has to climb 5 stairs starting at the ground, while respecting the following rules:

At any stage, Ankita can move either one or two stairs up.

At any stage, Ankita cannot move to a lower step.

Let

denote the number of possible ways in which Ankita can reach the

stair. For example,

The value of

is ______.

Your answerChoose one option.

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The information contained in DNA is used to synthesise proteins that are necessary for the functioning of life. DNA is composed of four nucleotides: Adenine (A), Thymine (T), Cytosine (C), and Guanine (G). The information contained in DNA can then be thought of as a sequence of these four nucleotides: A, T, C, and G. DNA has coding and non-coding regions. Coding regions—where the sequence of these nucleotides are read in groups of three to produce individual amino acids—constitute only about 2% of human DNA. For example, the triplet of nucleotides CCG codes for the amino acid glycine, while the triplet GGA codes for the amino acid proline. Multiple amino acids are then assembled to form a protein.

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

(i) The majority of human DNA has no role in the synthesis of proteins. (ii) The function of about 98% of human DNA is not understood.

Your answerChoose one option.

only (i)

only (ii)

both (i) and (ii)

neither (i) nor (ii)

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Which one of the given figures P, Q, R and S represents the graph of the following function?

Diagram for Engineering Sciences question 9

Your answerChoose one option.

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An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The cylinder can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?

Diagram for Engineering Sciences question 10

Your answerChoose one option.

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Let

be a

real matrix having eigenvalues 1, 2 and 3. If

, where

is the

identity matrix, then the eigenvalues of

are

Your answerChoose one option.

4, 9, 16

1, 2, 3

1, 4, 9

4, 16, 25

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Let

be a function defined by

Then which one of the following statement is TRUE?

Your answerChoose one option.

is NOT continuous at

, and

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If the quadrature formula

is exact for all polynomials of degree less than or equal to 2, then

Your answerChoose one option.

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GATE XE discipline:engineering-sciences PYQs

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13