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Q:

If each of the 8 teams in a league must play each other three times,how many games will be played?

A) 72	B) 84
C) 36	D) 79

Answer & Explanation Answer: B) 84

Explanation:

Since,each member of the league must meet every other member of the league.If they only played each other once,there would be $8 C_{2}$ games.Since,each pairing of teams will occur three times,the answer will be triple.

Therfore, $8 C_{2} * 3$ =84

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Filed Under: Permutations and Combinations

Q:

A polygon 7 sides.How many diagonals can be formed?

A) 14	B) 7
C) 15	D) 21

Answer & Explanation Answer: A) 14

Explanation:

$7 C_{2}$ - 7 = 14

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Filed Under: Permutations and Combinations

Q:

12 people at a party shake hands once with everyone else in the room.How many handshakes took place?

A) 72	B) 66
C) 76	D) 64

Answer & Explanation Answer: B) 66

Explanation:

There are 12 people, so this is our n value.

So, $12 C_{2}$ 1= 66

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Filed Under: Permutations and Combinations

Q:

Default read write and execute permissions given to a file for owner, group and others are

A) 6-4-4	B) 6-4-2
C) 6-4-6	D) 6-6-6

Answer & Explanation Answer: A) 6-4-4

Explanation:

Default permissions given to a file are:

Owner - read write and execute - 6

group - write - 4

others - write - 4

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Filed Under: Operating Systems
Job Role: Database Administration

Q:

There are 7 men and 10 women on a committee selection pool.A committee consisting of President,Vice-President, and Treasurer is to be formed.How many ways can exactly two men be on the committe ?

A) 1200	B) 1240
C) 1260	D) 1620

Answer & Explanation Answer: C) 1260

Explanation:

There are $7 C_{2}$ ways of selecting two men, and $10 C_{1}$ ways of selecting a woman.Since each position in the committee is different,arrange the three people in 3! ways.

So, $7 C_{2} * 10 C_{1} * 3! = 1260$

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Filed Under: Permutations and Combinations

Q:

A research team of 6 people is to be formed from 10 chemists,5 politicians, 8 economists and 15 biologists.How many teams have atleast 5 chemists?

A) 7350	B) 6400
C) 6379	D) 7266

Answer & Explanation Answer: D) 7266

Explanation:

$10 C_{5} * 28 C_{1} * 10 C_{6} = 7266$

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Filed Under: Permutations and Combinations

Q:

How many arrangements of the word TRIGONAL can be made if only two vowels and three consonants are used?

A) 6300	B) 3600
C) 6400	D) 7200

Answer & Explanation Answer: B) 3600

Explanation:

First we need to choose two vowels $3 C_{2}$ and then three consonants $5 C_{3}$ . Now that we have 5 letters required to make the word,arrange them in 5! ways.

So, $3 C_{2} * 5 C_{3} * 5! = 3600$

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Filed Under: Permutations and Combinations

Q:

If two painters can complete two rooms in two hours, how many painters would it take to do 18 rooms in 6 hours?

A) 2 painters	B) 6 painters
C) 4 painters	D) None

Answer & Explanation Answer: B) 6 painters

Explanation:

Two painters can complete two rooms in two hours.So 18 rooms can be painted in 6 hrs by 6 painters

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Filed Under: Problems on Numbers

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