GATE MA Quantitative Aptitude PYQs & Answers

Questions 1–10 of 56. Imported answers require independent review unless marked reviewed.

Circles

, and

, with centers

, and

, and radii

, and

, respectively, touch each other as shown in the following figure. Given

cm,

cm and the angle

_____ cm.

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The average marks obtained by a class in an examination were calculated as 30.8. However, while checking the marks entered, the teacher found that the marks of one student were entered incorrectly as 24 instead of 42. After correcting the marks, the average becomes 31.4. How many students does the class have?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In the diagram, the lines QR and ST are parallel to each other. The shortest distance between these two lines is half the shortest distance between the point P and line QR. What is the ratio of the area of the triangle PST to the area of the trapezium SQRT?

Note: The figure shown is representative.

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A fair six-faced dice, with the faces labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, is rolled thrice. What is the probability of rolling ‘6’ exactly once?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A shop has 4 distinct flavors of ice-cream. One can purchase any number of scoops of any flavor. The order in which the scoops are purchased is inconsequential. If one wants to purchase 3 scoops of ice-cream, in how many ways can one make that purchase?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A student was supposed to multiply a positive real number

with another positive real number

. Instead, the student divided

. If the percentage error in the student’s answer is 80%, the value of

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

If the sum of the first 20 consecutive positive odd numbers is divided by

, the result is

Your answerChoose one option.

1/2

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX are 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is

Your answerChoose one option.

150

200

250

175

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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?

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 5000.

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

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A ‘frabjous’ number is defined as a 3 digit number with all digits odd, and no two adjacent digits being the same. For example, 137 is a frabjous number, while 133 is not. How many such frabjous numbers exist?

Your answerChoose one option.

125

720

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE MA Quantitative Aptitude PYQs

How to practice Quantitative Aptitude

Question 10

Question 3

Question 7

Question 8

Question 10

Question 3

Question 4

Question 5

Question 8

Question 3