Aptitude Preparation: Mock Test, IT Campus Placement, Aptitude Questions and Answers

Subject: Permutation and Combination 1

**Part 1: List for questions and answers of Permutation & Combination**

**Q1. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?**

a) 24400

b) 21300

c) 210

d) 25200

**Q2. 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) 159

b) 209

c) 201

d) 212

**Q3. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?**

a) 624

b) 702

c) 756

d) 812

**Q4. In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?**

a) 610

b) 720

c) 825

d) 920

**Q5. In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?**

a) 47200

b) 48000

c) 42000

d) 50400

**Q6. 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) 1

b) 126

c) 63

d) 64

**Q7. In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged such that the vowels must always come together?**

a) 9800

b) 100020

c) 120960

d) 140020

**Q8. There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?**

a) 10420

b) 11

c) 11760

d) None of these

**Q9. How many 3-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?**

a) 720

b) 420

c) 5040

d) None of these

**Q10. In how many different ways can the letters of the word ‘LEADING’ be arranged such that the vowels should always come together?**

a) 122

b) 720

c) 420

d) None of these

**Q11. A coin is tossed 3 times. Find out the number of possible outcomes.**

a) 8

b) 2

c) 1

d) None of these

**Q12. In how many different ways can the letters of the word ‘DETAIL’ be arranged such that the vowels must occupy only the odd positions?**

a) 64

b) 120

c) 36

d) None of these

**Q13. A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?**

a) 64

b) 128

c) 32

d) None of these

**Q14. In how many different ways can the letters of the word ‘JUDGE’ be arranged such that the vowels always come together?**

a) 48

b) 32

c) 64

d) None of these

**Q15. In how many ways can the letters of the word ‘LEADER’ be arranged?**

a) 120

b) 360

c) 720

d) None of these

**Q16. How many words can be formed by using all letters of the word ‘BIHAR’?**

a) 720

b) 24

c) 120

d) 60

**Q17. How many arrangements can be made out of the letters of the word ‘ENGINEERING’ ?**

a) 924000

b) 277200

c) 182000

d) None of these

**Q18. How many 3 digit 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?**

a) 20

b) 16

c) 8

d) 24

**Q19. In how many different ways can the letters of the word ‘RUMOUR’ be arranged?**

a) 128

b) 360

c) 180

d) None of these

**Q20. How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?**

a) 720

b) 360

c) 1420

d) 1680

**Part 1: List for questions and answers of Permutation & Combination**

Q1. Answer: d

Q2. Answer: b

Q3. Answer: c

Q4. Answer: b

Q5. Answer: d

Q6. Answer: c

Q7. Answer: c

Q8. Answer: c

Q9. Answer: a

Q10. Answer: b

Q11. Answer: a

Q12. Answer: c

Q13. Answer: a

Q14. Answer: b

Q15. Answer: c

Q16. Answer: c

Q17. Answer: b

Q18. Answer: a

Q19. Answer: c

Q20. Answer: d