**Dear Students,**

**Quantitative Aptitude Questions for IBPS RRB PO and Clerk Exam 2017**

Today we have included the

**Permutation and Combination Questions.**You should try to do it within 16-17 Minutes. If you fail to complete it in stipulated time, then try again with full force. These**Permutation and Combination Questions**are very important from exam point of view like IBPS RRB Exam, IBPS PO and IBPS Clerk.

**Q1. There are six trains running between Delhi and Mumbai. In how many ways can a man go from Delhi to Mumbai and return by a different train?**

(a) 25

(b) 30

(c) 22

(d) 28

(e) 15

**Q2. A test paper consists of 15 Questions and each question has 4 choices. If each question is necessarily attempted, then find the number of ways of answering the test paper.**

**Q3. A tricolor flag is to be formed having three adjacent strips of three different colors chosen from six different colors. How many different colored flags can be formed with different design in which all the three strips are always in horizontal positions?**

(a) 112

(b) 116

(c) 120

(d) 110

(e) None of these

**Q4. In a party every person shakes hand with every other person. If there was a total of 210 handshakes in the party, find the no. of persons who were present in the party.**

(a) 21

(b) 22

(c) 25

(d) 28

(e) 19

**Q5. How many different straight lines can be formed by joining 12 different points on a plane of which 4 are collinear and the rest are non-collinear?**

(a) 41

(b) 51

(c) 55

(d) 61

(e) 58

**Q6. How many different words can be formed with the letters of the word EQUATION without changing the relative order of the vowels and consonants?**

(a) 125

(b) 620

(c) 880

(d) 720

(e) None of these

**Q7. How many three digit number can be formed whose unit digits is always zero and repetition of the digit is not allowed?**

(a) 62

(b) 42

(c) 72

(d) 92

(e) 100

**Q8. At an election, there are 5 candidates and 3 members are to be elected and a voter is entitled to vote for any number to be elected. In how many ways a voter can vote?**

(a) 25

(b) 28

(c) 72

(d) 92

(e) 158

**Q9. A question has two parts, Part A and Part B, each containing 8 questions. If the students have to choose 6 from part A and 5 questions from Part B, in how many ways can he choose the questions?**

(a) 255

(b) 1568

(c) 728

(d) 1558

(e) None of these

**Q10. An examinee is required to answer six questions out of twelve questions which are divided into two groups each containing six questions and he is not permitted to answer more than four questions from any group. In how many ways can he answer six questions?**

(a) 750

(b) 840

(c) 850

(d) 950

(e) 825

*Direction (Q11- 12): Among the arrangements that can be made by using all the letters of the word “EXAMINATION”.***Q11. In how many arrangements A’s come together?**

**Q12. In how many arrangements of the above word A’s do not come together?**

**Q13. Find the sum of all the numbers that can be formed by taking all the digits at a time from 3, 4, 6, 7 and 9 without repetition.**

(a) 7733652

(b) 7733256

(c) 7373256

(d) 7373652

(e) None of these

**Q14. How many different arrangements can be made using all the letters of the word INSTITUTE, so that all I’s come together?**

(a) 8064

(b) 6720

(c) 40320

(d) 3360

(e) None of these

**Q15. How many numbers can be formed using all the digits 6, 3, 5, 3, 6, 5, 2, 4, 3, such that odd digits occupy the odd places?**

(a) 120

(b) 240

(c) 60

(d) 180

(e) None of these

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