GATE MA format:mcq PYQs & Answers — Page 31

Questions 301–310 of 366. Imported answers require independent review unless marked reviewed.

Topic practice 366 questionsPage 31 of 37

A wire would enclose an area of 196 m², if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters?

Your answerChoose one option.

1096

111

123

246

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A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?

Your answerChoose one option.

146

175

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A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number.

i. If the house number is a multiple of 3, then it is a number from 50 to 59. ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69. iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79.

What is the house number?

Your answerChoose one option.

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An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials: (1) HTHTT (2) TTHHT (3) THTHT (4) HHT__.

Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?

Your answerChoose one option.

Two T will occur.

One H and one T will occur.

Two H will occur.

One H will be followed by one T.

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The principal value of

Your answerChoose one option.

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Let

be an entire function with

and

. If there exists

such that

for all

, then

Your answerChoose one option.

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In the Laurent series expansion of

valid for

, the coefficient of

Your answerChoose one option.

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Let

and

be metric spaces, and let

be a continuous map. For any subset

, which one of the following statements is true?

Your answerChoose one option.

is open, then

is open

is connected, then

is connected

is closed, then

is closed

is bounded, then

is bounded

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The general solution of the differential equation

is given by (with an arbitrary positive constant

)

Your answerChoose one option.

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Let

be the polynomial solution of the differential equation

with

for

. If

then

Your answerChoose one option.

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GATE MA format:mcq PYQs

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