Management Aptitude Test Sep 2020 Paper

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Directions (Q. Nos. 126-130) Each of these questions consists of a question and two Statements I and II. Decide whether the data provided in the statements are sufficient to answer the question.
Give answer
(a) If the data in Statement

{I}

alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
(b) If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
(c) If the data in both Statements 1 and II are required to answer the question
(d) If the data in both Statements 1 and II together are not sufficient to answer the question

Question : 128 of 200

Marks: +1, -0

A spherical ball of given radius

x {cm}

is melted and made into a right circular cylinder. What is the height of the cylinder?
I. The volume of the cylinder is equal to the volume of the ball.
II. The area of the base of the cylinder is given.

Validate

Solution:

(a) Let height of the cylinder

=h {cm}

Given, radius of spherical ball

=x {cm}

From Statement I,
Volume of cylinder = Volume of spherical ball

⇒ π r^{2} h=\;{4}/{3} π r^{3} ⇒ π x^{2} h=\;{4}/{3} π x^{3} ∴ h=\;{4}/{3} x

Hence, only StatementI alone are sufficient to answer the question.

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