# Permutations and Combinations Questions for IBPS RRB Prelims Exam: 1st August 2018

**Dear students,**

**Numerical Ability or Quantitative Aptitude**Section has given

**heebie-jeebies**to the aspirants when they appear for a banking examination. As the level of every other section is only getting complex and convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed, and accuracy, this section can get you the maximum marks in the examination. Following is the

**Quantitative Aptitude quiz**to help you practice with the best of latest pattern questions.

**Q1. 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) 194

(c) 205

(d) 209

(e) 309

**Q2. 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) 5

(b) 10

(c) 15

(d) 20

(e) 18

**Q3. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?**

(a) 266

(b) 5040

(c) 11760

(d) 86400

(e) 720

**Q4. 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?**

(a) 32

(b) 48

(c) 64

(d) 96

(e) 106

**Direction (5-6): Among the arrangements that can be made by using all the letters of the word “EXAMINATION”.**

**Solutions (1-6):**

**Q7. All possible four-digit numbers, with distinct digits are formed, using the digits {1, 3, 4, 5, 6}. How many of them are divisible by 2?**

(a) 8

(b) 24

(c) 48

(d) 20

(e) 32

**Q8. Ten points are selected on a plane, such that no three of them are collinear. How many different straight lines can be formed by joining these points?**

(a) 54

(b) 45

(c) 90

(d) 108

(e) 116

**Q9. If all possible four-digit numbers are formed using the digits 3, 5, 6, 9 without repetition and arranged in ascending order of magnitude, then the position of the number 6953 is**

(a) 20

(b) 16

(c) 18

(d) 15

(e) 24

**Q10. The ratio of age of mother and that of son at present is 5 : 2 and after 8 year it will be 2 : 1. Find the difference between the present age of mother and that of son.**

(a) 20 years

(b) 26 years

(c) 28 years

(d) 25 years

(e) 24 years

**Solutions (7-10):**

**Directions (11-15): What should come in place of the question mark (?) in following number series problems?**

**Q11. 2,33,266,1067,2138, ?**

(a) 3541

(b) 2143

(c) 2572

(d) 2253

(e) 1795

**Q12. 529,520,493,412,?**

(a) 391

(b) 254

(c) 169

(d) 145

(e) 243

**Q13. 12,6,9,22.5,78.75,?**

(a) 354.375

(b) 455.745

(c) 672.255

(d) 703.125

(e) 670.5

**Q14. 3,14,?,303,1820,12741**

(a) 60

(b) 58

(c) 51

(d) 38

(e) 65

**Q15. 255,230,246,237,241,?**

(a) 265

(b) 223

(c) 253

(d) 240

(e) 251

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