Volume and Surface Area · Exercise 5 of 5

Volume and Surface Area Data Sufficiency

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Category: Quantitative Aptitude
Topic: Volume and Surface Area
Exercise: Data Sufficiency
Questions: 20

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Directions

20 data sufficiency questions on volume and surface area.

Directions: each question is followed by two statements. Decide whether the data in the statements is sufficient to answer the question, and choose the matching option.

Question 1 Easy

What is the volume of the cube?

I. Its total surface area is 150 cm².
II. Its edge is a whole number of centimetres.

A Statement I alone is sufficient, but Statement II alone is not sufficient

B Statement II alone is sufficient, but Statement I alone is not sufficient

C Each statement alone is sufficient

D Both statements together are sufficient, but neither statement alone is sufficient

E Statements I and II together are not sufficient

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Question 2 Medium

What is the volume of the cylinder?

I. Its radius is 7 cm.
II. Its height is 10 cm and its curved surface area is 440 cm².

A Statement I alone is sufficient, but Statement II alone is not sufficient

B Statement II alone is sufficient, but Statement I alone is not sufficient

C Each statement alone is sufficient

D Both statements together are sufficient, but neither statement alone is sufficient

E Statements I and II together are not sufficient

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Question 3 Easy

What is the edge of the cube?

I. Its volume is 343 cm³.
II. Its main diagonal is 7√3 cm.

A Statement I alone is sufficient, but Statement II alone is not sufficient

B Statement II alone is sufficient, but Statement I alone is not sufficient

C Each statement alone is sufficient

D Both statements together are sufficient, but neither statement alone is sufficient

E Statements I and II together are not sufficient

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Question 4 Easy

What is the volume of the cuboid?

I. Its base area is 48 cm².
II. Its height is 5 cm.

A Statement I alone is sufficient, but Statement II alone is not sufficient

B Statement II alone is sufficient, but Statement I alone is not sufficient

C Each statement alone is sufficient

D Both statements together are sufficient, but neither statement alone is sufficient

E Statements I and II together are not sufficient

Discuss in Forum

Question 5 Medium

What is the volume of the cone?

I. Its base radius is 7 cm.
II. Its curved surface area is more than 150 cm².

A Statement I alone is sufficient, but Statement II alone is not sufficient

B Statement II alone is sufficient, but Statement I alone is not sufficient

C Each statement alone is sufficient

D Both statements together are sufficient, but neither statement alone is sufficient

E Statements I and II together are not sufficient

Discuss in Forum

Question 6 Medium

What is the radius of the sphere?

I. Its surface area is 616 cm².
II. Its volume is more than 1,000 cm³.

A Statement I alone is sufficient, but Statement II alone is not sufficient

B Statement II alone is sufficient, but Statement I alone is not sufficient

C Each statement alone is sufficient

D Both statements together are sufficient, but neither statement alone is sufficient

E Statements I and II together are not sufficient

Discuss in Forum

Question 7 Easy

How many litres does the tank hold?

I. The tank is 2 m long.
II. The tank is a cube with edges of 2 m.

A Statement I alone is sufficient, but Statement II alone is not sufficient

B Statement II alone is sufficient, but Statement I alone is not sufficient

C Each statement alone is sufficient

D Both statements together are sufficient, but neither statement alone is sufficient

E Statements I and II together are not sufficient

Discuss in Forum

Question 8 Medium

A cylinder has radius 7 cm. What is its height?

I. Its volume is 1,540 cm³.
II. Its curved surface area is 440 cm².

A Statement I alone is sufficient, but Statement II alone is not sufficient

B Statement II alone is sufficient, but Statement I alone is not sufficient

C Each statement alone is sufficient

D Both statements together are sufficient, but neither statement alone is sufficient

E Statements I and II together are not sufficient

Discuss in Forum

Question 9 Easy

What is the slant height of the cone?

I. Its base radius is 5 cm.
II. Its height is 12 cm.

A Statement I alone is sufficient, but Statement II alone is not sufficient

B Statement II alone is sufficient, but Statement I alone is not sufficient

C Each statement alone is sufficient

D Both statements together are sufficient, but neither statement alone is sufficient

E Statements I and II together are not sufficient

Discuss in Forum

Question 10 Medium

What is the volume of the cuboid?

I. Its length is twice its breadth.
II. Its height is 5 cm.

A Statement I alone is sufficient, but Statement II alone is not sufficient

B Statement II alone is sufficient, but Statement I alone is not sufficient

C Each statement alone is sufficient

D Both statements together are sufficient, but neither statement alone is sufficient

E Statements I and II together are not sufficient

Discuss in Forum

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