Data Sufficiency & Mensuration II Quantitative Aptitude II MH-CET 2021 II 7 July for CAT & MBA Exams

Question 1

Direction: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.

What is the rate of interest?

Statement I: A sum of Rs. 1620 becomes the amount of Rs. 2430 at the end of two years on simple interest.

Statement II: The difference between the simple interest and compound interest on a sum of Rs. 5400 for 2 years is Rs. 337.5.

Question 2

Direction: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.

What is the length of the platform?

Statement I: Train A can cross a platform in 14 seconds.

Statement II: Train A running with the speed of 63 km/h can cross a tree in 8 seconds.

Question 3

Direction: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.

Mahesh has the amount of Rs. 3000 and he distributed it in three children A, B and C. Who gets the least amount?

Statement I: The amount received by B is of the amount received by A and C together.

Statement II: The amount received by C is half of the amount received by A and B together.

Question 4

Direction: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

An article was sold at 20% profit. Find its cost price.

Statement I: Marked price was Rs. 1000 and discount was 28%.

Statement II: Marked price was Rs. 400 more than cost price.

Question 5

Direction: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

A, B and C together started a business with certain initial investments. After one year, they made certain additional investments. Find the profit share of B out of the total profit of Rs. 13,440 after two years.

Statement I: A, B and C made initial investments in the ratio 7 : 8 : 9 respectively. After one year, A, B and C made additional investments in the ratio 8 : 5 : 2 respectively.

Statement II: A, B and C made initial investments of Rs. 2100, Rs. 2400 and Rs. 2700 respectively. After one year, A, B and C made additional investments of Rs ‘ x + 300’, Rs ‘x + 200’ and Rs ‘x + 100’ respectively.

Question 6

The circumference of a circle is 20.3 cm less than the perimeter of the rectangle which is P. The ratio of the radius of circle and length of the rectangle is 1 : 4 and ratio of length and breadth of the rectangle is 5 : 4. What is the length of the rectangle? Take (pie = 3.14)

Question 7

A parallelogram ABCD has sides 120 m and 80 m. Find the area in m² of the parallelogram if one of its diagonal is 160 m.

Question 8

The length of a rectangle is 4 times of the radius of a circle area of 154 m². If the area of rectangle is 336 m² then find the breadth of the rectangle.

Question 9

The ratio of curved surface area to total surface area of a cylinder is 3 : 5. If the curved surface area of the cylinder is 1848 metre square, find the height of the cylinder.

Question 10

A cube and a sphere are formed by melting an iron sheet of 882 cm × 109 cm× 0.5 cm dimension. If the side of cube and radius of the sphere formed are equal, then what is the radius of the sphere?