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Q:

How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

A) 5600	B) 6000
C) 6400	D) 7200

Answer & Explanation Answer: C) 6400

Explanation:

Number of bricks = volume of the wall/volume of one brick

= (800 x 600 x 22.5)/(25 x 11.25 x 6 )= 6400

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Filed Under: Volume and Surface Area

Q:

A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

A) 2 : 1	B) 3 : 2
C) 25 : 18	D) 27 : 20

Answer & Explanation Answer: C) 25 : 18

Explanation:

Volume of the large cube = $(3^{3} + 4^{3} + 5^{3})$ = 216 cu.cm.

Let the edge of the large cube be a.

So, $a^{3}$ = 216

=>a = 6 cm.

Required ratio = $\frac{6 (3^{2} + 4^{2} + 5^{2})}{6 (6^{2})} = \frac{25}{18}$

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Filed Under: Volume and Surface Area

Q:

A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:

A) 8.5%	B) 7.5%
C) 8%	D) 9%

Answer & Explanation Answer: C) 8%

Explanation:

By investing Rs. 1552, income = Rs. 128.

By investing Rs. 97, income = $R s . (\frac{128}{1552} \times 97)$ = Rs. 8.

Dividend = 8%

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Filed Under: Stocks and Shares

Q:

What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

A) 344.35 sq.cm	B) 462 sq.cm
C) 498.35 sq.cm	D) None of these

Answer & Explanation Answer: C) 498.35 sq.cm

Explanation:

h = 14 cm, r = 7 cm.

So, l = $[\sqrt{7^{2} + 14^{2}}] = \sqrt{245} = 7 \sqrt{5} c m$

Total surface area = $πrl + {πr}^{2}$ = $\frac{22}{7} \times 7 \times 7 \sqrt{5} + \frac{22}{7} \times 7 \times 7$

= $154 (\sqrt{5} + 1)$

= (3.236 x 154) sq.cm

= 498.35 sq.cm

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Filed Under: Volume and Surface Area

Q:

Difference between bit rate and baud rate.?

Answer

Bit rate is the number of bits transmitted during one second whereas baud rate refers to the number of signal units per second that are required to represent those bits.

baud rate = bit rate / N

where N is no-of-bits represented by each signal shift.

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Subject: Networking
Job Role: Network Engineer

Q:

One card is drawn from a pack of 52 cards,each of the 52 cards being equally likely to be drawn.Find the probability that the ball drawn is an ace :

A) 1/13	B) 1/12
C) 1/14	D) 1/15

Answer & Explanation Answer: A) 1/13

Explanation:

Total number of events=52

Number of aces =4

So,required probability = 4/52 =1/13

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Filed Under: Probability

Q:

Three dice are thrown together.Find the probability of getting a total of atleast 6.

A) 103/216	B) 103/108
C) 103/36	D) 36/103

Answer & Explanation Answer: B) 103/108

Explanation:

Total number of events=6 x 6 x 6=216
Let A be the event of getting a total of atleast 6 and B denoted event of getting a total of less than 6 i.e.,3,4,5.

So,B={(1,1,1),(1,1,2),(1,2,1),(2,1,1),(1,1,3),(1,3,1),(3,1,1),(1,2,2),(2,1,2),(2,2,1)}

Favourable number of cases=10

Therefore,P(B)=10/216

=> P(A) = 1 - P(B)

= 1 - (10/216) = 103/108

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Filed Under: Probability

Q:

A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:

A) 3:5	B) 2:1
C) 16:15	D) 4:5

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