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Q:

In a G - 20 meeting there were total 20 people representing their own country. All the representative sat around a circular table. Find the number of ways in which we can arrange them around a circular table so that there is exactly one person between two representatives namely Manmohan and Musharraf.

A) 2 x (17!)	B) 2 x (18!)
C) (3!) x (18!)	D) (17!)

Answer & Explanation Answer: B) 2 x (18!)

Explanation:

A person can be chosen out of 18 people in 18 ways to be seated between Musharraf and Manmohan. Now consider Musharraf, Manmohan, and the third person, sitting between them, as a single personality, we can arrange them in 17! ways but Musharraf and Manmohan can also be arranged in 2 ways.

Required number of permutations = 18 x (17!) x 2 = 2 x 18!

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Filed Under: Permutations and Combinations
Exam Prep: GATE , Bank Exams , AIEEE
Job Role: Bank PO , Analyst

Q:

How many arrangements can be made out of the letters of the word COMMITTEE, taken all at a time, such that the four vowels do not come together?

A) 216	B) 45360
C) 1260	D) 43200

Answer & Explanation Answer: D) 43200

Explanation:

There are total 9 letters in the word COMMITTEE in which there are 2M's, 2T's, 2E's.

The number of ways in which 9 letters can be arranged = $\frac{9!}{2! \times 2! \times 2!}$ = 45360

There are 4 vowels O,I,E,E in the given word. If the four vowels always come together, taking them as one letter we have to arrange 5 + 1 = 6 letters which include 2Ms and 2Ts and this be done in $\frac{6!}{2! \times 2!}$ = 180 ways.

In which of 180 ways, the 4 vowels O,I,E,E remaining together can be arranged in $\frac{4!}{2!}$ = 12 ways.

The number of ways in which the four vowels always come together = 180 x 12 = 2160.

Hence, the required number of ways in which the four vowels do not come together = 45360 - 2160 = 43200

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Filed Under: Permutations and Combinations

Q:

5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible?

A) 2880	B) 1440
C) 720	D) 2020

Answer & Explanation Answer: A) 2880

Explanation:

There are total 9 places out of which 4 are even and rest 5 places are odd.

4 women can be arranged at 4 even places in 4! ways.

and 5 men can be placed in remaining 5 places in 5! ways.

Hence, the required number of permutations = 4! x 5! = 24 x 120 = 2880

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

Q:

In the below word how many words are there in which R and W are at the end positions?

RAINBOW

A) 120	B) 180
C) 210	D) 240

Answer & Explanation Answer: D) 240

Explanation:

When R and W are the first and last letters of all the words then we can arrange them in 5!ways. Similarly When W and R are the first and last letters of the words then the remaining letters can be arrange in 5! ways.

Thus the total number of permutations = 2 x 5! = 2 x 120 = 240

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Filed Under: Permutations and Combinations

Q:

Arrange the given words in a meaningful sequence.

1. Adult 2. Child 3. Infant 4. Boy 5. Adolescent

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

Answer & Explanation Answer: D) 3, 2, 4, 5, 1

Explanation:

The Correct Sequence is:

Infant Child Boy Adolescent Adult

3 2 4 5 1

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Filed Under: Logical Sequence of Words

Q:

Arrange the given words in a meaningful sequence.

1. Rainbow 2. Rain 3. Sun 4. Happy 5. Child

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

Answer & Explanation Answer: B) 2, 3, 1, 5, 4

Explanation:

The Correct Sequence is:

Rain Sun Rainbow Child Happy

2 3 1 5 4

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Filed Under: Logical Sequence of Words

Q:

Arrange the given words in a meaningful sequence.

1. Grain 2. Plant 3.Sandwich 4. Bread 5. Dough

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

Answer & Explanation Answer: C) 2,1,5,4,3

Explanation:

The Correct Sequence is :

Plant Grain Dough Bread Sandwich

2 1 5 4 3

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Filed Under: Logical Sequence of Words

Q:

The following question consist of two words each that have a certain relationship to each other, followed by lettered pairs of words . Select the lettered pair that has the same relationship as the original pair of words.

Proscenium : Stage

A) Lamp : Table	B) Lines : Bed
C) Portico : House	D) Compass : Needle

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