GATE ME purpose:exam-prep PYQs & Answers — Page 80

Questions 791–800 of 1040. Imported answers require independent review unless marked reviewed.

For integers

and

, what would be the minimum and maximum values respectively of

Your answerChoose one option.

-3 and 3

-1 and 1

-1 and 3

1 and 3

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Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all the films?

Your answerChoose one option.

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Given that

and

are integers and

is odd, which one of the following statements is correct?

Your answerChoose one option.

and

are both odd

and

are both even

is even and

is odd

is odd and

is even

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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

2486

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From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while traveling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively?

Your answerChoose one option.

210 and 140

162.5 and 187.5

245 and 130

75 and 200

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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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Which of the following functions describe the graph shown in the below figure?

Diagram for Mechanical Engineering question 9

Your answerChoose one option.

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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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Consider the following three statements: (i) Some roses are red. (ii) All red flowers fade quickly. (iii) Some roses fade quickly.

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

Your answerChoose one option.

If (i) is true and (ii) is false, then (iii) is false.

If (i) is true and (ii) is false, then (iii) is true.

If (i) and (ii) are true, then (iii) is true.

If (i) and (ii) are false, then (iii) is false.

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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) HTHTT (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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