GATE CE format:mcq PYQs & Answers — Page 9

Questions 81–90 of 724. Imported answers require independent review unless marked reviewed.

Topic practice 724 questionsPage 9 of 73

For the clock shown in the figure, if

, and

, then which one among the given options is most appropriate for

Diagram for Civil Engineering question 7

Your answerChoose one option.

P U W R T V X

P R T O Q S U

P T V Q S U W

P S U P R T V

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A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K).

Which one of the following options displays the color codes that are consistent with the color model?

Diagram for Civil Engineering question 8

Your answerChoose one option.

Diagram for Civil Engineering question 8 (figure 2)

Diagram for Civil Engineering question 8 (figure 3)

Diagram for Civil Engineering question 8 (figure 4)

Diagram for Civil Engineering question 8 (figure 5)

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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 circle with center at

and radius = 0.5 intersects with another circle with center at

and radius = 1 at two points. One of the points of intersection

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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An object is said to have an

-fold rotational symmetry if the object, rotated by an angle of

, is identical to the original.

Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?

Note: The figures shown are representative.

Your answerChoose one option.

Diagram for Civil Engineering question 10

Diagram for Civil Engineering question 10 (figure 2)

Diagram for Civil Engineering question 10 (figure 3)

Diagram for Civil Engineering question 10 (figure 4)

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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.

Your answerChoose one option.

12.0

12.5

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Suppose

is an eigenvalue of matrix

and

is the corresponding eigenvector. Let

also be an eigenvector of the matrix

, where

is the identity matrix. Then, the eigenvalue of

corresponding to the eigenvector

is equal to

Your answerChoose one option.

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For the matrix [A] given below, the transpose is ______.

Your answerChoose one option.

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Let

and

. For

to be solvable, which one of the following options is the correct condition on

, and

Your answerChoose one option.

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GATE CE format:mcq PYQs

Question 7

Question 8

Question 8

Question 9

Question 9

Question 10

Question 10

Question 11

Question 11

Question 12