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Q:

If the radius of base and height of a cone are increased by 10%, find the percentage of increase of its volume

A) 33.5%	B) 33.1%
C) 32.1%	D) 53.1%

Answer & Explanation Answer: B) 33.1%

Explanation:

v1= $\frac{1}{3} {πr}_{1}^{2} h_{1}$

v2= $\frac{1}{3} {πr}_{2}^{2} h_{2}$

% Increase in volume = (V2-V1) / (V2*100)

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

Who is known as father of medicine

A) Aristotle	B) Theophrastus
C) Hippocrates	D) Edward Jenner

Answer & Explanation Answer: C) Hippocrates

Explanation:

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Filed Under: Biology

Q:

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.

A) 3:1	B) 2:1
C) 4:1	D) 5:1

Answer & Explanation Answer: A) 3:1

Explanation:

$\frac{v 1}{v 2} = \frac{{r_{1}}^{2} H}{{r_{2}}^{2} H}$

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

Who is known as father of Zoology

A) Darwin	B) Aristotle
C) Lamark	D) Theophrastus

Answer & Explanation Answer: B) Aristotle

Explanation:

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Filed Under: Biology

Q:

Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 7, how many people got on at the first stop?

A) 128	B) 64
C) 32	D) 16

Answer & Explanation Answer: B) 64

Explanation:

7th stop only one was left and in each preceding stop twice the nos... there were so 6 stops before 7th.

so $2^{6} = 64$

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Filed Under: Problems on Numbers
Exam Prep: GRE

Q:

Who is known as father of Biology

A) Aristotle	B) Darwin
C) Lamark	D) Linneus

Answer & Explanation Answer: A) Aristotle

Explanation:

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Filed Under: Biology

Q:

What is the true discount on a bill of Rs.2916 due in 3 years hence at 8% C.I.?

A) Rs.600	B) Rs.601
C) Rs.602	D) Rs.603

Answer & Explanation Answer: C) Rs.602

Explanation:

PW = $\frac{A m o u n t}{{(1 + \frac{R}{100})}^{T}}$

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Filed Under: True Discount
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?

A) 8p	B) pq
C) pq+27	D) -p

Answer & Explanation Answer: C) pq+27

Explanation:

A perfect cube will have prime factors that are in groups of 3; for example 125 has the prime factors 5 x 5 x 5 , and 64 x 125 will also be a cube because its factors will be 4 x 4 x 4 x 5 x 5 x 5

Consider the answer choices in turn.

8 is the cube of 2, and p is a cube, and so the product will also be a cube.

pq will also be a cube as shown above.

pq is a cube and so is 27, but their sum need not be a cube. Consider the case where p =1 and q = 8, the sum of pq and 27 will be 35 which has factors 5 x 7 and is not a cube.

-p will be a cube.

Since the difference between p and q is raised to the power of 6, this expression will be a cube (with cube root = difference squared).

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Filed Under: Numbers

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