GATE BT year:2022 PYQs & Answers

Questions 1–10 of 65. Imported answers require independent review unless marked reviewed.

You should ________ when to say ________.

Your answerChoose one option.

no / no

no / know

know / know

know / no

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Two straight lines pass through the origin

. One of them passes through the point

and the other passes through the point

. What is the area enclosed between the straight lines in the interval

on the

-axis?

Your answerChoose one option.

0.5

1.0

1.5

2.0

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and

is 50% more than

, what is the ratio

Your answerChoose one option.

2 : 15

16 : 15

1 : 5

16 : 45

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Given the statements:

P is the sister of Q. Q is the husband of R. R is the mother of S. T is the husband of P.

Based on the above information, T is ______ of S.

Your answerChoose one option.

the grandfather

an uncle

the father

a brother

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In the following diagram, the point R is the center of the circle. The lines PQ and ZV are tangential to the circle. The relation among the areas of the squares, PXW, RUZ and SPQ is

Your answerChoose one option.

Area of SPQ = Area of RUZ = Area of PXW

Area of SPQ = Area of PXW − Area of RUZ

Area of PXW = Area of SPQ − Area of RUZ

Area of PXW = Area of RUZ − Area of SPQ

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Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example, babies who start eating healthy in the first year are more likely to have better overall health as they get older.

Which one of the following is the CORRECT logical inference based on the information in the above passage?

Your answerChoose one option.

Healthy eating is important for those with good health conditions, but not for others

Eating healthy can be started at any age, earlier the better

Eating healthy and better overall health are more correlated at a young age, but not older age

Healthy eating is more important for adults than kids

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P invested ₹ 5000 per month for 6 months of a year and Q invested ₹

per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year.

If at the end of that investment year, Q receives

of the total profit, what is the value of

(in ₹)?

Your answerChoose one option.

250

300

687

843

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The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam.

From the data presented above, which one of the following is CORRECT?

Your answerChoose one option.

mean > mode > median

mode > median > mean

mode > mean > median

median > mode > mean

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In the square grid shown on the left, a person standing at P2 position is required to move to P5 position. The only movement allowed for a step involves, “two moves along one direction followed by one move in a perpendicular direction”. The permissible directions for movement are shown as dotted arrows in the right. For example, a person at a given position Y can move only to the positions marked X on the right. Without occupying any of the shaded squares at the end of each step, the minimum number of steps required to go from P2 to P5 is

Your answerChoose one option.

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Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior faces that are not visible in the above view may or may not be blank.