# Numerical Ability for SBI Clerk Prelims Exam 2018 (Permutation and Combination)

**Dear Students,**

**Numerical Ability for SBI Clerk Prelims 2018**

**Numerical Ability**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

**Permutation and Combination quiz**on Numerical Ability to help you practice with the best of latest pattern questions.

**Q1. How many words can be formed by using three letters out of a, b, c, d, e without repetition of alphabets.**

(a) 55

(b) 60

(c) 61

(d) 69

(e) 72

**Q2. How many words of three letters with or without meaning can be formed using all the alphabets of the word SIMPLE without repetition of alphabets.**

(a) 100

(b) 160

(c) 95

(d) 120

(e) 130

**Q3. In how many different ways can Ram arrange the letters of the word ALLAHABAD?**

(a) 7650

(b) 7560

(c) 6750

(d) 5760

(e) 7660

**Q4. Find total number of the 3 digits odd numbers by using the digits 2, 3, 4, 5 when repetitions of digits are not allowed.**

(a) 12

(b) 22

(c) 15

(d) 18

(e) 24

**Q5. In how many different ways can the letters of the word DISTINCTIONS be arranged.**

(a) 1001872

(b) 9979200

(c) 9986100

(d) 8769150

(e) None of these

**Solutions (1-5):**

**Q6. In how many ways can 6 persons take water from 6 taps if no tap remains unused.**

(a) 1024 ways

(b) 860 ways

(c) 720 ways

(d) 700 ways

(e) 820 ways

**Q7. How many three digits number can be formed by using the digits 2, 3, 7 and 8 if**

**(i) Repetition of digit is all allowed**

**(ii) Repetition of digits is not allowed**

(a) 64, 24

(b) 64, 22

(c) 28, 24

(d) 26, 22

(e) 32, 12

**Q8. How many three digits number can be formed by using the digits 0, 2, 4, 6, 7 if repetition of digits is not allowed.**

(a) 50

(b) 46

(c) 48

(d) 40

(e) 36

**Q9. 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) 366

**Q10. 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) 36

**Solutions (6-10):**

**Direction (11-12): 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?**

(a) 11!

(b) 11!/2!

(c) 10!/(2! 2!)

(d) 11! – 10! 2!

(e) None of thes

**e**

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

(a) 11! – 10! 2!

(b) (9 × 10!)/8

(c) (11! × 10)/2

(d) 10!/8

(e) 10!

**Q13. 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 5?**

(a) 8

(b) 12

(c) 24

(d) 20

(e) 28

**Q14. 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) 64

**Q15. 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) 169

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