GATE MN topic:quantitative-aptitude PYQs & Answers — Page 2

Questions 11–20 of 42. Imported answers require independent review unless marked reviewed.

Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder.

Diagram for Mining Engineering question 7

The length of the container is equal to the length of the chalk-sticks. The ratio of the occupied space to the empty space of the container is

Your answerChoose one option.

5/2

7/2

9/2

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The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?

Diagram for Mining Engineering question 8

Your answerChoose one option.

The risk reduction on increasing the steps/day from 0 to 1000 is less than the risk reduction on increasing the steps/day from 1000 to 2000.

The risk reduction on increasing the steps/day from 0 to 500 is less than the risk reduction on increasing the steps/day from 1500 to 2000.

For any 5000 increment in steps/day the largest risk reduction occurs on going from 0 to 500.

For any 5000 increment in steps/day the largest risk reduction occurs on going from 1500 to 2000.

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In how many ways can cells in a 3 × 3 grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is shown.

Diagram for Mining Engineering question 3

Your answerChoose one option.

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There are 4 red, 5 green, and 6 blue balls inside a box. If

number of balls are picked simultaneously, what is the smallest value of

that guarantees there will be at least two balls of the same colour?

One cannot see the colour of the balls until they are picked.

Your answerChoose one option.

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Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many seating arrangements are possible such that every husband sits next to his wife?

Your answerChoose one option.

120

720

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satisfies the equation

, then

is equal to _____.

Your answerChoose one option.

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A sum of money is to be distributed among P, Q, R, and S in the proportion 5 : 2 : 4 : 3, respectively.

If R gets ₹ 1000 more than S, what is the share of Q (in ₹)?

Your answerChoose one option.

500

1000

1500

2000

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A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR.

Further, it is given that, PQ = 11 cm, QR = 4 cm, RS = 6 cm and SP = 3 cm.

What is the shortest distance between PQ and SR (in cm)?

Your answerChoose one option.

1.80

2.40

4.20

5.76

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The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole.

Diagram for Mining Engineering question 4

What is the maximum number of squares without a “hole in the interior” that can be formed within the 4 × 4 grid using the unit squares as building blocks?

Your answerChoose one option.

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Consider the following inequalities. (i) 2x − 1 > 7 (ii) 2x − 9 < 1

Which one of the following expressions below satisfies the above two inequalities?

Your answerChoose one option.

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GATE MN topic:quantitative-aptitude PYQs

Question 7

Question 8

Question 3

Question 4

Question 7

Question 9

Question 2

Question 3

Question 4

Question 7