GATE XE format:mcq PYQs & Answers — Page 11

Questions 101–110 of 959. Imported answers require independent review unless marked reviewed.

A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained: (i) The sum of Yellow balls and twice the number of Violet balls is 50. (ii) The sum of Violet and Green balls is 50. (iii) The sum of Yellow and Red balls is 50. (iv) The sum of Violet and twice the number of Red balls is 50. Which one of the following Pie charts correctly represents the balls in the bag?

Your answerChoose one option.

Diagram for Engineering Sciences question 5

Diagram for Engineering Sciences question 5 (figure 2)

Diagram for Engineering Sciences question 5 (figure 3)

Diagram for Engineering Sciences question 5 (figure 4)

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“His life was divided between the books, his friends, and long walks. A solitary man, he worked at all hours without much method, and probably courted his fatal illness in this way. To his own name there is not much to show; but such was his liberality that he was continually helping others, and fruits of his erudition are widely scattered, and have gone to increase many a comparative stranger’s reputation.” (From E. V. Lucas’s “A Funeral”)

Based on the information provided in the above passage, which one of the following statements is true?

Your answerChoose one option.

The solitary man described in the passage is dead.

Strangers helped create a grand reputation for the solitary man described in the passage.

The solitary man described in the passage found joy in scattering fruits.

The solitary man worked in a court where he fell ill.

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For the clock shown in the figure, if O* = O Q S Z P R T, and X* = X Z P W Y O Q, then which one among the given options is most appropriate for *?

Diagram for Engineering Sciences question 7

Your answerChoose one option.

P U W R T V X

P R T Q O S U

P T V Q S U W

P S U P R T V

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Consider a five-digit number

that has distinct digits

, and

, and satisfies the following conditions:

If integers 1 through 5 are used to construct such a number, the value of

is:

Your answerChoose one option.

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A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio and sells them at ₹ 192 per kg.

The cost of the variety P is ₹ 800 for 5 kg.

The cost of the variety Q is ₹ 800 for 4 kg.

If the person gets 8% profit, what is the P:Q ratio (by weight)?

Your answerChoose one option.

5:4

3:4

3:2

1:1

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Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?

Note: The figure shown is representative.

Diagram for Engineering Sciences question 10

Your answerChoose one option.

10.5

11.0

12.0

12.5

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Let

and

be two random variables with mean 0, variance 1, and correlation coefficient

. Then the value of

is equal to

Your answerChoose one option.

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Consider the second order Partial Differential Equation (PDE)

Then which one of the following statements is correct?

Your answerChoose one option.

The PDE is hyperbolic in the region

The PDE is elliptic in the region

The PDE is parabolic in the region

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Consider the infinite series

Then which one of the following statements is correct?

Your answerChoose one option.

Series

and

both converge

Series

converges and series

diverges

Series

and

both diverge

Series

diverges and series

converges

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Suppose the polynomial

interpolates the data

and

. Then which one of the following statements is correct?

Your answerChoose one option.

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GATE XE format:mcq PYQs

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