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Q:

In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

A) 4!/2!	B) 3!/2!
C) (4! x 3!) / 2!	D) 36

Answer & Explanation Answer: C) (4! x 3!) / 2!

Explanation:

ABACUS is a 6 letter word with 3 of the letters being vowels.

If the 3 vowels have to appear together, then there will 3 other consonants and a set of 3 vowels together.

These 4 elements can be rearranged in 4! Ways.

The 3 vowels can rearrange amongst themselves in 3!/2! ways as "a" appears twice.

Hence, the total number of rearrangements in which the vowels appear together are (4! x 3!)/2!

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Filed Under: Permutations and Combinations

Q:

If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number :

A) 601	B) 600
C) 603	D) 602

Answer & Explanation Answer: A) 601

Explanation:

If the word started with the letter A then the remaining 5 positions can be filled in 5! Ways.

If it started with c then the remaining 5 positions can be filled in 5! Ways.Similarly if it started with H,I,N the remaining 5 positions can be filled in 5! Ways.

If it started with S then the remaining position can be filled with A,C,H,I,N in alphabetical order as on dictionary.

The required word SACHIN can be obtained after the 5X5!=600 Ways i.e. SACHIN is the 601th letter.

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Filed Under: Permutations and Combinations

Q:

There are 5 novels and 4 biographies. In how many ways can 4 novels and 2 biographies can be arranged on a shelf ?

A) 26100	B) 21600
C) 24000	D) 36000

Answer & Explanation Answer: B) 21600

Explanation:

4 novels can be selected out of 5 in $5 C_{4}$ ways.

2 biographies can be selected out of 4 in $4 C_{2}$ ways.

Number of ways of arranging novels and biographies = $5 C_{4} * 4 C_{2}$ = 30

After selecting any 6 books (4 novels and 2 biographies) in one of the 30 ways, they can be arranged on the shelf in 6! = 720 ways.

By the Counting Principle, the total number of arrangements = 30 x 720 = 21600

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Filed Under: Permutations and Combinations

Q:

Suppose you want to arrange your English, Hindi, Mathematics, History, Geography and Science books on a shelf. In how many ways can you do it?

A) 360	B) 780
C) 720	D) 240

Answer & Explanation Answer: C) 720

Explanation:

We have to arrange 6 books.

The number of permutations of n objects is n! = n. (n – 1) . (n – 2) ... 2.1

Here n = 6 and therefore, number of permutations is 6.5.4.3.2.1 = 720

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Filed Under: Permutations and Combinations

Q:

What scheme does the Kernel in Unix System V follow while choosing a swap device among the multiple swap devices?

Answer

Kernel follows Round Robin scheme choosing a swap device among the multiple swap devices in Unix System V.

Workspace

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Subject: Operating Systems Exam Prep: GATE

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.

Workspace

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Subject: Operating Systems
Exam Prep: GRE

Q:

Which among the following is not aprocess state in unix?

A) Running	B) Runnable
C) Zombie	D) Stopped

Answer & Explanation Answer: B) Runnable

Explanation:

The process states of unix are running,Zombie,stopped,Waiting.

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Filed Under: Operating Systems
Exam Prep: GATE

Q:

Which among the following are not the children of Swapper or Scheduler?

A) Process Dispatcher	B) Vhand
C) Dbflush	D) All the above

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