Today we are providing you “Mission IBPS PO 2017 : Quant – Permutation, Combination & Probability Day 25” in this post you will take section wise free mock test to boost up your IBPS PO Exam Preparation. Please share it with your friends.
Quant – Permutation, Combination & Probability Day 25
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Mission IBPS PO 2017 – Daily Free Mock Test
Quant Section : Permutation, Combination & Probability Day 25
No Of Question: 10
Test Time: 10 Mins
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Question 1 of 10
1. Question
In how many different ways can the letters of the word ‘ARRANGEMENT’ be arranged?
Correct
A. 2494800
R’s = 2
A’s = 2
N’s = 2
E’s = 2
Total ways = 11! / 2! 2! 2! 2!
= 2494800
Incorrect
A. 2494800
R’s = 2
A’s = 2
N’s = 2
E’s = 2
Total ways = 11! / 2! 2! 2! 2!
= 2494800

Question 2 of 10
2. Question
In how many different ways can the letters of the word ‘DIGEST’ be arranged such that the vowels may appear in the even place ?
Correct
C. 144
Two vowel can be arranged in 3 places in 3C_{2 * }2! = 3*2 = 6 ways
total ways = 6! * 4! = 144
Incorrect
C. 144
Two vowel can be arranged in 3 places in 3C_{2 * }2! = 3*2 = 6 ways
total ways = 6! * 4! = 144

Question 3 of 10
3. Question
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?

Question 4 of 10
4. Question
How many 3digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

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

Question 6 of 10
6. Question
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?

Question 7 of 10
7. Question
In how many different ways can the letters of the word ‘DETAIL’ be arranged in such a way that the vowels occupy only the odd positions?
Correct
C. 36
Three vowel canbe placed in 3 odd places in ^{3}C_{3} * 3! = 6 ways
Total ways = 6 * 3! = 36
Incorrect
C. 36
Three vowel can be placed in 3 odd places in ^{3}C_{3} * 3! = 6 ways
Total ways = 6 * 3! = 36

Question 8 of 10
8. Question
How many 3 letters words (with or without meaning) can be formed out of the letters of the word, “SWITCHBOARD”, if repetition of letters is not allowed?

Question 9 of 10
9. Question
A bag contains 5 red balls and 7 blue balls. Two balls are drawn at random without replacement, and then find the probability of that one is red and other is blue.

Question 10 of 10
10. Question
A bag contains 3 red balls and 8 blacks ball and another bag contains 5 red balls and 7 blacks balls, one ball is drawn at random from either of the bag,find the probability that the ball is red.
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