Management Aptitude Test Sep 2011 Paper

Data Analysis and Sufficiency

Directions (Q. Nos.121 to 125) Two quantities are given as A and B.Compare the two quantities and mark answer as
(1) if quantities A and B are equal
(2) if quantity B is greater than quantity A
(3) if quantity A is greater than quantity B
(4) if comparison cannot be made

Question : 123 of 200

Marks: +1, -0

The prom committee orders an arch for the entrance to the dance floor. The arch follows the equation y = 2x - 0.1

x^2

, where y is the height of the arch, in feet.
A. Maximum arch height
B. 10 ft

Validate

Solution:

(1) y = 2x - 0.1

x^2

On differentiating w.r.t. x,

{dy}/{dx}

= 2 - 0.2x
For maximum, put

{dy}/{dx}

= 0
2 - 0.2x = 0
⇒ x =

20/2

= 10

{d^2y}/{dx^2}

= - 0.2 < 0, maxima
Hence, at x = 10, y is maximum
Quantity B = 10 ft
Hence, Quantities A and B are equal

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