Mensuration Test 4

Welcome to your Mensuration Test 4

Question No. 1

Find the area of the trapezium with parallel sides of 15 cm and 11 cm and height of 4 cm.

A. 16 cm²

B. 32 cm²

C. 48 cm²

D. 52 cm²

E. 64 cm²

Question No. 2

The sides of a triangle with an area of 26.15 cm² are in the ratio 2 ∶ 3 ∶ 4. Find the largest side of the triangle.

A. 4 cm

B. 8 cm

C. 12 cm

D. 18 cm

E. 24 cm

Question No. 3

If twice the perimeter of a square is 5.8 cm less than 3 times the sum of its diagonals, then find the side of the square.

A. 8 cm

B. 10 cm

C. 12 cm

D. 15 cm

E. 16 cm

Question No. 4

If the volume and the surface area of a cube is in the ratio 4 ∶ 3, find the length of the diagonal of the cube.

A. 3√3

B. 4√3

C. 6√3

D. 8√3

E. 10√3

Question No. 5

A circle and a square have the same perimeter. The side of the square is 22 cm. What is the area of the circle?

A. 418 cm²

B. 616 cm²

C. 542 cm²

D. 624 cm²

E. 718 cm²

Question No. 6

If the volume and curve surface area of the cylinder is 616 m³ and 352 m² respectively, what is the total surface area of the cylinder (in m²)?

A. 429

B. 419

C. 435

D. 421

E. 417

Question No. 7

If the length of the rectangle is increased by 40% and breadth decreases by 50% and this whole process is repeated again then what will be the percentage change in area?

A. 10%

B. 90%

C. 50%

D. 51%

E. 40%

Question No. 8

What would be the cost of building a fence around a circular field with area equal to 32378.5 sq metres, if the price per metre for building the fence was Rs. 152?

A. Rs. 84,683

B. Rs. 86,495

C. Rs. 96,976

D. Rs. 98,252

E. None of these

Question No. 9

A circle with area 38.5 cm² can be inscribed in a rhombus of area 63 cm². Find the perimeter of the rhombus.

A. 24 cm

B. 28 cm

C. 32 cm

D. 36 cm

E. 40 cm

Question No. 10

A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into water until it is completely immersed. How much water level will rise?

A. 9/2 cm

B. 9/4 cm

C. 4/9 cm

D. 2/9 cm

E. None of these

Question No. 11

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

A right circular cylinder and a right circular cone have equal radius of base and height. Both of them have a positive volume.

Quantity A: Volume of right circular cylinder

Quantity B: Volume of right circular cone

A. Quantity A > Quantity B

B. Quantity A < Quantity B

C. Quantity A ≥ Quantity B

D. Quantity A ≤ Quantity B

E. Quantity A = Quantity B OR relationship cannot be determined.

Question No. 12

Directions: Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answer.

Find the area of a circle?

I. The radius of the circle is equal to length of a rectangle.

II. The breadth of the rectangle is equal to 25 cm.

A. The data in statement I alone are sufficient to answer the question, while the dat

B. The data in statement II alone are sufficient to answer the question, while the da

C. The data in statement I alone or in statement II alone are sufficient to answer th

D. The data in both the statement I and II are not sufficient to answer the question.

E. The data in both the statement I and II together are necessary to answer the question.

Question No. 13

Direction:- Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers

What is the perimeter of the rectangle?

I. The area of the rectangle is 252 sq.mII. The ratio of length to breadth of the rectangle is 9 : 7

A. The statement I alone is sufficient to answer the question but the statement II al

B. The statement II alone is sufficient to answer the question but the statement I al

C. Both statements I and II together are needed to answer the question

D. Either to statement I alone or statement II alone is sufficient to answer the ques

E. You cannot get the answer from the statement I and II together but need even more data

Question No. 14

Given below are two quantities named Quantity I and Quantity II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers.

Quantity I: Volume, if diameter of sphere is 42 cm.Quantity II: Volume, if side of cube is 34 cm

A. Quantity I > Quantity II

B. Quantity I < Quantity II

C. Quantity I ≥ Quantity II

D. Quantity I ≤ Quantity II

E. Quantity I = Quantity II or No relation

Question No. 15

Quantity A: Find the total surface area (in cm²) of a hemisphere of diameter 42 cm.Quantity B: 4500

A. Quantity B > Quantity A

B. Quantity B < Quantity A

C. Quantity B ≥ Quantity A

D. Quantity B ≤ Quantity A

E. Quantity B = Quantity A

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