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Q:

Suppose you can travel from a place A to a place B by 3 buses, from place B to place C by 4 buses, from place C to place D by 2 buses and from place D to place E by 3 buses. In how many ways can you travel ?from A to E?

A) 36	B) 64
C) 74	D) 72

Answer & Explanation Answer: D) 72

Explanation:

The bus fromA to B can be selected in 3 ways.

The bus from B to C can be selected in 4 ways.

The bus from C toD can be selected in 2 ways.

The bus fromD to E can be selected in 3 ways.

So, by the General Counting Principle, one can travel fromA to E in 3 x 4 x 2 x 3 ways = 72

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Q:

How many 3-digit numbers can be formed with the digits 1,4,7,8 and 9 if the digits are not repeated ?

A) 60	B) 26
C) 50	D) 64

Answer & Explanation Answer: A) 60

Explanation:

Three digit number will have unit’s, ten’s and hundred’s place.

Out of 5 given digits any one can take the unit’s place.

This can be done in 5 ways. ... (i)

After filling the unit’s place, any of the four remaining digits can take the ten’s place.

This can be done in 4 ways. ... (ii)

After filling in ten’s place, hundred’s place can be filled from any of the three remaining digits.

This can be done in 3 ways. ... (iii)

So,by counting principle, the number of 3 digit numbers = 5x 4 x 3 = 60

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Q:

A Map is an Array,which contains the addresses of the free space in swap device that are allocatable resources,and the number of the resource unit available there.

A) TRUE

B) FALSE

Answer & Explanation Answer: A) TRUE

Explanation:

The given statement is clearly true.

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Subject: Operating Systems
Exam Prep: GRE

Q:

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A) 54	B) 64
C) 63	D) 36

Answer & Explanation Answer: C) 63

Explanation:

Required number of ways = $(7 C_{5} \times 3 C_{2}) = 63$

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Q:

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

A) 48	B) 64
C) 63	D) 45

Answer & Explanation Answer: B) 64

Explanation:

We may have(1 black and 2 non-black) or (2 black and 1 non-black) or (3 black).

Required number of ways= $(3 C_{1} * 6 C_{2}) + (3 C_{2} * 6 C_{1}) + 3 C_{3}$ = (45 + 18 + 1) =64

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Q:

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

A) 11670	B) 12000
C) 11760	D) 20050

Answer & Explanation Answer: C) 11760

Explanation:

Required number of ways= $(8 C_{5} \times 10 C_{6})$ = ( $8 C_{3} \times 10 C_{4}$ )= 11760.

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Q:

The PS command prints the process status for only some of the running processes.

A) TRUE

B) FALSE

Answer & Explanation Answer: B) FALSE

Explanation:

The PS command prints the process status for some or all of the running processes

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Subject: Operating Systems
Exam Prep: GATE

Q:

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

A) 209	B) 290
C) 200	D) 208

Answer & Explanation Answer: A) 209

Explanation:

We may have (1 boy and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4 boys).

Required number of ways = $(6 C_{1} * 4 C_{3}) + (6 C_{2} * 4 C_{2}) + (6 C_{3} * 4 C_{1}) + 6 C_{4}$

= $(6 C_{1} * 4 C_{1}) + (6 C_{2} * 4 C_{2}) + (6 C_{3} * 4 C_{1}) + 6 C_{2}$ = 209.

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