GATE MA format:mcq PYQs & Answers — Page 12

Questions 111–120 of 366. Imported answers require independent review unless marked reviewed.

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?

Your answerChoose one option.

Diagram for Mathematics question 9 (figure 2)

Diagram for Mathematics question 9 (figure 3)

Diagram for Mathematics question 9 (figure 4)

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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?

Your answerChoose one option.

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Let

be defined by

and

for all

. Consider the following statements: P:

has a saddle point at

. Q:

has a saddle point at

. Then

Your answerChoose one option.

both P and Q are TRUE

P is FALSE but Q is TRUE

P is TRUE but Q is FALSE

both P and Q are FALSE

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Let

be a topological space with the usual topology and

denote the set of rational numbers. Define the subspaces

and

as follows:

;

. Which of the following statements is correct?

Your answerChoose one option.

is homeomorphic to

is NOT homeomorphic to

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Let

. Then

is equal to

Your answerChoose one option.

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Let

be a linear transformation satisfying

and

. Then

Your answerChoose one option.

is one-one but

is NOT onto

is one-one and onto

is NEITHER one-one NOR onto

is NOT one-one but

is onto

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Let

and

be defined by

Consider the following statements:

has three zeros (counting multiplicity) in

has one zero in

. Then

Your answerChoose one option.

is TRUE but

is FALSE

is FALSE but

is TRUE

both

and

are TRUE

both

and

are FALSE

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Let

be a non-measurable set with respect to the Lebesgue measure on

. Consider the following statements:

: If

, then

is Lebesgue measurable.

: The boundary of

has positive Lebesgue outer measure. Then

Your answerChoose one option.

both

and

are TRUE

is FALSE and

is TRUE

is TRUE and

is FALSE

both

and

are FALSE

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For

, let

be a measurable subset of

with Lebesgue measure

. Define

Consider the following statements:

: Lebesgue measure of

is equal to zero.

: Lebesgue measure of

is equal to zero. Then

Your answerChoose one option.

both

and

are TRUE

both

and

are FALSE

is TRUE but

is FALSE

is TRUE but

is FALSE

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GATE MA format:mcq PYQs

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