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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:

By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:

A) 80	B) 96
C) 106	D) 108

Answer & Explanation Answer: B) 96

Explanation:

To earn Rs. 135, investment = Rs. 1620.

To earn Rs. 8, investment = $R s . \frac{1620}{135} \times 8$ = Rs. 96.

Market value of Rs. 100 stock = Rs. 96.

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Filed Under: Stocks and Shares

Q:

What is Bandwidth?

Answer

Every line has an upper limit and a lower limit on the frequency of signals it can carry. This limited range is called the bandwidth

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Subject: Networking
Job Role: Network Engineer

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)}

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