GATE MT area:general-aptitude PYQs & Answers — Page 6

Questions 51–60 of 100. Imported answers require independent review unless marked reviewed.

Five persons P, Q, R, S and T are to be seated in a row, all facing the same direction, but not necessarily in the same order. P and T cannot be seated at either end of the row. P should not be seated adjacent to S. R is to be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is:

Your answerChoose one option.

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Consider the following sentences: (i) The number of candidates who appear for the GATE examination is staggering. (ii) A number of candidates from my class are appearing for the GATE examination. (iii) The number of candidates who appear for the GATE examination are staggering. (iv) A number of candidates from my class is appearing for the GATE examination. Which of the above sentences are grammatically CORRECT?

Your answerChoose one option.

(i) and (ii)

(i) and (iii)

(ii) and (iii)

(ii) and (iv)

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A digital watch X beeps every 30 seconds while watch Y beeps every 32 seconds. They beeped together at 10 AM.

The immediate next time that they will be together is ______

Your answerChoose one option.

10.08 AM

10.42 AM

11.00 AM

10.00 PM

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If ⊕ ÷ ⊙ = 2; ⊕ ÷ Δ = 3; ⊙ + Δ = 5; Δ × ⊗ =10,

Then, the value of (⊗ − ⊕)², is:

Your answerChoose one option.

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The front door of Mr. X’s house faces East. Mr. X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr. X is now located at with respect to the starting point is ______

Your answerChoose one option.

South-East

North-East

West

North-West

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Given below are two statements 1 and 2, and two conclusions I and II.

Statement 1: All entrepreneurs are wealthy.

Statement 2: All wealthy are risk seekers.

Conclusion I: All risk seekers are wealthy.

Conclusion II: Only some entrepreneurs are risk seekers.

Based on the above statements and conclusions, which one of the following options is CORRECT?

Your answerChoose one option.

Only conclusion I is correct

Only conclusion II is correct

Neither conclusion I nor II is correct

Both conclusions I and II are correct

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A box contains 15 blue balls and 45 black balls. If 2 balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is ______

Your answerChoose one option.

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Diagram for Metallurgical Engineering question 8

The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is ____

Your answerChoose one option.

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Consider a square sheet of side 1 unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is again folded along its line of symmetry. The area of each face of the final folded shape, in square units, equal to ______

Your answerChoose one option.

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The world is going through the worst pandemic in the past hundred years. The air travel industry is facing a crisis, and the resulting quarantine requirement for travelers led to weak demand.

In relation to the first sentence above, what does the second sentence do?

Your answerChoose one option.

Restates an idea from the first sentence.

Second sentence entirely contradicts the first sentence.

The two statements are unrelated.

States an effect of the first sentence.

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GATE MT area:general-aptitude PYQs

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Question 10