GATE CE format:mcq PYQs & Answers — Page 72

Questions 711–720 of 724. Imported answers require independent review unless marked reviewed.

If the radius of a right circular cone is increased by 50%, its volume increases by

Your answerChoose one option.

75%

100%

125%

237.5%

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What is the value of

when

Your answerChoose one option.

-1

-2

Cannot be determined

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The following sequence of numbers is arranged in increasing order: 1, x, x, x, y, y, 9, 16, 18. Given that the mean and median are equal, and are also equal to twice the mode, the value of y is

Your answerChoose one option.

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Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top face of the dice is a perfect square is

Your answerChoose one option.

1/9

2/9

1/3

4/9

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The old concert hall was demolished because of fears that the foundation would be affected by the construction of the new metro line in the area. Modern technology for underground metro construction tried to mitigate the impact of pressurized air pockets created by the excavation of large amounts of soil. But even with these safeguards, it was feared that the soil below the concert hall would not be stable.

From this, one can infer that

Your answerChoose one option.

the foundations of old buildings create pressurized air pockets underground, which are difficult to handle during metro construction.

metro construction has to be done carefully considering its impact on the foundations of existing buildings.

old buildings in an area form an impossible hurdle to metro construction in that area.

pressurized air can be used to excavate large amounts of soil from underground areas.

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Bhaichung was observing the pattern of people entering and leaving a car service centre. There was a single window where customers were being served. He saw that people inevitably came out of the centre in the order that they went in. However, the time they spent inside seemed to vary a lot: some people came out in a matter of minutes while for others it took much longer.

From this, what can one conclude?

Your answerChoose one option.

The centre operates on a first-come-first-served basis, but with variable service times, depending on specific customer needs.

Customers were served in an arbitrary order, since they took varying amounts of time for service completion in the centre.

Since some people came out within a few minutes of entering the centre, the system is likely to operate on a last-come-first-served basis.

Entering the centre early ensured that one would have shorter service times and most people attempted to do this.

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Students applying for hostel rooms are allotted rooms in order of seniority. Students already staying in a room will move if they get a room in their preferred list. Preferences of lower ranked applicants are ignored during allocation.

Given the data below, which room will Ajit stay in?

Names	Student seniority	Current room	Room preference list
Amar	1	P	R, S, Q
Akbar	2	None	R, S
Anthony	3	Q	P
Ajit	4	S	Q, P, R

Your answerChoose one option.

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A map shows the elevations of Darjeeling, Gangtok, Kalimpong, Pelling, and Siliguri. Kalimpong is at a lower elevation than Gangtok. Pelling is at a lower elevation than Gangtok. Pelling is at a higher elevation than Siliguri. Darjeeling is at a higher elevation than Gangtok.

Which of the following statements can be inferred from the paragraph above?

i. Pelling is at a higher elevation than Kalimpong ii. Kalimpong is at a lower elevation than Darjeeling iii. Kalimpong is at a higher elevation than Siliguri iv. Siliguri is at a lower elevation than Gangtok

Your answerChoose one option.

Only ii

Only ii and iii

Only ii and iv

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The last digit of

Your answerChoose one option.

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P, Q, R, S, T and U are seated around a circular table. R is seated two places to the right of Q. P is seated three places to the left of R. S is seated opposite U. If P and U now switch seats, which of the following must necessarily be true?

Your answerChoose one option.

P is immediately to the right of R

T is immediately to the left of P

T is immediately to the left of P or P is immediately to the right of Q

U is immediately to the right of R or P is immediately to the left of T

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GATE CE format:mcq PYQs

Question 59

Question 59

Question 60

Question 60

Question 61

Question 61

Question 62

Question 62

Question 63

Question 63