**Dear Readers,**

**We have started the 56 days Study Plan for IBPS PO Prelims. This study plan is to efficiently utilise time and hard work to channelise it towards smart work. From now quizzes on Bankersadda will be according to the given study plan and this will help you prepare important topics in limited time.**

**Today is DAY 42 of the study plan and in Quantitative Aptitude today’s chapter is Practice of Chapters (Probability)**

**Q1. What is the rank of the word JAIPUR if all the words formed by the letters of JAIPUR are arranged in ascending order?**

(a) 241

(b) 242

(c) 122

(d) 123

(e) None of these

**Q2. In how many ways 3 numbers can be selected from the set of numbers 1, 2, 3….20 such that the selected numbers are in ascending order.**

**Q3. How many squares (off all possible dimensions) are there on a chessboard?**

(a) 65

(b) 64

(c) 204

(d) 1296

(e) None of these

**Q4. In how many ways 3 playing cards can be selected from a deck of 52 cards such that there is at least one face card.**

**Q5. Two teams of 11 students each are formed from 20 students such that exactly three students are common between the two teams. In how many ways can the two teams be formed?**

**Q6. If all the words which can be formed by using the letters of the word INDIA are arranged in alphabetical order, find the rank of the word INDIA.**

**Q7. A bag contains 3 red balls, 4 green balls and 3 yellow balls. Three balls are randomly selected, find the probability that all the three balls are not of the same colour.**

**Q8. Three numbers are randomly selected from the set of natural numbers {1, 2, 3, …..50}, find the probability that these numbers are in AP.**

**Q9. In a bolt factory machines A, B and C manufacture respectively 25%, 35% and 40% of the total product. Of their output 5, 4, 2 percent are defective bolts. A bolt is drawn at random from the product and is found to be defective. What are the probabilities that it was manufactured by machine A.**

**Q10. If the letters of the word ‘REGULATION’ be arranged at random, the probability that there will be exactly 4 letters between R and E**

**Q11. In a chess tournament, where the participants were to play one game with another, two chess players fell ill, having played 3 games each. If the total number of games played is 84, the number of participants at the beginning was**

(a) 15

(b) 16

(c) 20

(d) 21

(e) None of these

**Q12. A box contains 10 balls out of which 3 are red and the rest are blue. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 red balls are included in the sample and no sample has all the 6 balls of the same colour?**

(a) 105

(b) 168

(c) 189

(d) 120

(e) None of these

**Q13. In a given race the odds in favour of horses A, B, C are 1 : 3, 1 : 4 and 1 : 5 respectively. Assuming that dead heat is impossible the probability that one of them wins is**

**Q14. A man and his wife appear for an interview for two posts. The probability of the husband’s selection is 1/7 and that of the wife’s selection is 1/5. The probability that only one of them will be selected is**

**Q15. Calculate total number of words which can be formed by using all the letters of the word ‘MISSISSIPPI’ without repetition such that all S are always together.**

(e) None of these

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