GATE CSE topic:quantitative-aptitude PYQs & Answers — Page 3

Questions 21–30 of 64. Imported answers require independent review unless marked reviewed.

A rectangular paper sheet of dimensions 54 cm × 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is

Your answerChoose one option.

1/π

2/π

3/π

4/π

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A person sold two different items at the same price. He made 10% profit in one item, and 10% loss in the other item. In selling these two items, the person made a total of

Your answerChoose one option.

1% profit

2% profit

1% loss

2% loss

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The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.

Diagram for Computer Science and Information Technology question 8

The typical energy density (kcal/g) of these macronutrients is given in the table.

Macronutrient	Energy density (kcal/g)
Carbohydrates	4
Proteins	4
Unsaturated fat	9
Saturated fat	9
Trans fat	9

The total fat (all three types), in grams, this person consumes is

Your answerChoose one option.

44.4

77.8

100

3,600

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The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years 2007 and 2023.

The renewable sources of electricity generation consist of Hydro, Solar and Wind. Assuming that the total electricity generated remains the same from 2007 to 2023, what is the percentage increase in the share of the renewable sources of electricity generation over this period?

Your answerChoose one option.

25%

50%

77.5%

62.5%

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A series of natural numbers

obeys

for all integers

. If

, and

, then what is

Your answerChoose one option.

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A survey for a certain year found that 90% of pregnant women received medical care at least once before giving birth. Of these women, 60% received medical care from doctors, while 40% received medical care from other healthcare providers.

Given this information, which one of the following statements can be inferred with certainty?

Your answerChoose one option.

More than half of the pregnant women received medical care at least once from a doctor.

Less than half of the pregnant women received medical care at least once from a doctor.

More than half of the pregnant women received medical care at most once from a doctor.

Less than half of the pregnant women received medical care at most once from a doctor.

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Consider two functions of time

where

Now consider the following two statements: (i) For some

. (ii) There exists a

, such that

for all

Which one of the following options is TRUE?

Your answerChoose one option.

only (i) is correct

only (ii) is correct

both (i) and (ii) are correct

neither (i) nor (ii) is correct

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and

are functions of

and

, respectively, and

for all real values of

and

. Which one of the following options is necessarily TRUE for all

and

Your answerChoose one option.

and

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A function

is defined in the interval

on the

-axis as

Which one of the following is the area under the curve for the interval

on the

-axis?

Your answerChoose one option.

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Let

be a root of the equation

. Then the value of the expression

Your answerChoose one option.

−51

126

−126

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GATE CSE topic:quantitative-aptitude PYQs

Question 7

Question 7

Question 8

Question 8

Question 3

Question 4

Question 7

Question 9

Question 2

Question 3