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Q:

What is passive topology?

Answer

When the computers on the network simply listen and receive the signal, they are referred to as passive because they don’t amplify the signal in any way.

Example forpassive topology - linear bus.

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Subject: Network Administration
Job Role: Network Engineer

Q:

What is mesh network?

Answer

A network in which there are multiple network links between computers to provide multiple paths for data to travel.

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Subject: Network Administration
Job Role: IT Trainer

Q:

Two cubes have their volumes in the ratio 1 : 27. Find the ratio of their surface areas.

A) 2:9	B) 3:9
C) 1:9	D) 4:9

Answer & Explanation Answer: C) 1:9

Explanation:

Let their edges be a and b. Then,

a3/b3 = 1/27 (or) (a/b)3 = (1/3)3 (or) (a/b) = (1/3).

\Ratio of their surface area = 6a2/6b2 = a2/b2 = (a/b)2 = 1/9, i.e. 1:9.

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

If each edge of a cube is increased by 50%, find the percentage increase in Its surface area

A) 125%	B) 150%
C) 175%	D) 110%

Answer & Explanation Answer: A) 125%

Explanation:

Let the edge = a cm

So increase by 50 % = a + a/2 = 3a/2

Total surface Area of original cube = $6 a^{2}$

TSA of new cube = $6 {(\frac{3 a}{2})}^{2}$ = $6 (\frac{9 a^{2}}{4})$ = $13.5 a^{2}$

Increase in area = $13.5 a^{2} - 6 a^{2}$ = $7.5 a^{2}$

$7.5 a^{2}$ Increase % = $\frac{7.5 a^{2}}{6 a^{2}} \times 100$ = 125%

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Filed Under: Volume and Surface Area

Q:

Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed

A) 486	B) 586
C) 686	D) 786

Answer & Explanation Answer: A) 486

Explanation:

Volume of new cube = $(1^{3} + 6^{3} + 8^{3}) c m^{3}$ = $729 c m^{3}$

Edge of new cube = $\sqrt[3]{729}$ = 9cm

Surface area of the new cube = ( 6 x 9 x 9) sq.cm = 486 sq.cm

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Filed Under: Volume and Surface Area

Q:

A cube of edge 15 cm is immersed completely in a rectangular vessel containing water . If the dimensions of the base of vessel are 20 cm x 15 cm, find the rise in water level

A) 11.25cm	B) 11.56cm
C) 11.66cm	D) 10.86cm

Answer & Explanation Answer: A) 11.25cm

Explanation:

Increase in volume = Volume of the cube = (15 x 15 x 15) cm3.

\Rise in water level = volume/area = (15 x 15 x 15)/(20 x 15) cm = 11.25 cm.

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.

A) 30	B) 40
C) 10	D) 20

Answer & Explanation Answer: B) 40

Explanation:

Volume of the block = (6 x 12 x 15) cu.cm = 1080 cu.cm

Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm

= 3 cm.

Volume of this cube = (3 x 3 x 3) cu.cm = 27 cu.cm

Number of cubes = $\frac{1080}{27}$ = 40.

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Filed Under: Volume and Surface Area

Q:

The surface area of a cube is 1734 sq. cm. Find its volume

A) 2334 cubic.cm	B) 3356 cubic.cm
C) 4913 cubic.cm	D) 3478 cubic.cm

Answer & Explanation Answer: C) 4913 cubic.cm

Explanation:

Let the edge of the cube bea. Then,

6 $a^{2}$ = 1734

=> a = 17 cm.

Volume = $a^{3}$ = $17^{3}$ = 4193 cu.cm

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Filed Under: Volume and Surface Area

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