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Q:

A brother and a sister appear for an interview against two vacant posts in an office. The probability of the brother’s selection is 1/5 and that of the sister’s selection is 1/3. What is the probability that only one of them is selected?

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

Answer & Explanation Answer: C) 2/5

Explanation:

Probability that only one of them is selected = (prob. that brother is selected) × (prob. that sister is not selected) + (Prob. that brother is not selected) × (Prob. that sister is selected)

= $(\frac{1}{5} * \frac{2}{3}) + (\frac{4}{5} * \frac{1}{3})$ = $\frac{2}{5}$

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Filed Under: Probability

Q:

What are the important topologies for networks?

Answer

BUS topology:

In this each computer is directly connected to primary network cable in a single line.

STAR topology:

In this all computers are connected using a central hub.

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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:

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:

The diagonal of a cube is $6 \sqrt{3}$ cm. Find its surface area

A) 216 sq.cm	B) 316 sq.cm
C) 416 sq.cm	D) 516 sq.cm

Answer & Explanation Answer: A) 216 sq.cm

Explanation:

Let the edge of the cube be a.

so, the diagonal a $\sqrt{3}$ = $6 \sqrt{3}$

=> a=6

Surface area = $6 a^{2}$ = 6 x 6 x 6 = 216 sq.cm

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Q:

Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar?

A) 35000	B) 45000
C) 55000	D) 65000

Answer & Explanation Answer: B) 45000

Explanation:

Volume of the wall = (2400 x 800 x 60) cu.cm

Volume of bricks = 90% of the volume of the wall

= [(90/100) x 2400 x 800 x 60] cu.cm

Volume of 1 brick = (24 x 12 x 8) cu.cm

Number of bricks = [(90/100) x (2400 x 800 x 60) ]/ (24 x 12 x 8) = 45000

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Filed Under: Volume and Surface Area

Q:

I forgot the last digit of a 7-digit telephone number. If 1 randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number?

A) 1/999	B) 1/1001
C) 1/1000	D) 4/1000

Answer & Explanation Answer: C) 1/1000

Explanation:

It is given that last three digits are randomly dialled. then each of the digit can be selected out of 10 digits in 10 ways.
Hence required probability = ${(\frac{1}{10})}^{3}$ = 1/1000

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Q:

Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.

A) 19/34	B) 5/4
C) 20/34	D) 25/34

Answer & Explanation Answer: D) 25/34

Explanation:

The events of selection of two person is redefined as first is a girl and second is a boy or first is boy and second is a girl or first is a girl and second is a girl.

So the required probability:
= $(\frac{8}{17} * \frac{9}{16}) + (\frac{9}{17} * \frac{8}{16}) + (\frac{8}{17} * \frac{7}{16})$

= $\frac{9}{34} + \frac{9}{34} + \frac{7}{34}$
= $\frac{25}{34}$

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Filed Under: Probability

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