# Quantitative Aptitude Questions for NICL AO Mains Exam 2017

**Dear Readers,**

Practice is the key to perfection in Quant, so brush up your skills and test yourself with these 15 questions of

**Quantitative Aptitude for NICL AO Mains 2017.****Q1. A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap. If four caps are picked at random, what is the probability that none is green?**

(a) 7/99

(b) 5/99

(c) 7/12

(d) 5/12

(e) None of these

**Q2. A student has 60% chance of passing in English and 54% chance of passing in both English and Mathematics. What is the percentage probability that he will fail in Mathematics?**

(a) 12

(b) 36

(c) 4

(d) 10

(e) 14

**Q3. When three coins are tossed together, the probability that all coins have the same face-up is**

(a) 1/3

(b) 1/6

(c) 1/8

(d) 1/12

(e) 1/17

**Q4. Ten identical particles are moving randomly inside a closed box. What is the probability that at any given point of time all the ten particles will be lying in the same half of the box?**

(a) 1/4

(b) 1/512

(c) 2/92

(d) 2/112

(e) 1/232

**Q5. 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).None of these

**Q6.A three digit number is formed with the digits 1,2,3,4,5 at random. What is the probability that the no formed will be divisible by 2?**

a) 29/60

B) 23/60

C) 2/5

D) 3/5

E) None of these

**Q7. A man wants to go abroad by ship and return by air. He has a choice of 4 different ships to go and 5 airlines to return. In how many ways, can the man perform his journey?**

(a) 20

(b) 18

(c) 24

(d) 16

(e) None of these

**Q8. Find the number of ways of arranging the host and 8 guests at a circular table so that the host always sits in a particular seat?**

(a) 4!

(b) 8!

(c) 6!

(d) 9!

(e) None of these

**Q9. A dice is rolled three times and the sum of three numbers appearing on the uppermost face is 15. The chance that the first roll was four is**

(a) 2/5

(b) 1/5

(c) 1/6

(d) 1/108

(e) 2/3

**Q10. An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the first, second, third and fourth shots are 0.4, 0.3, 0.2 and 0.1, respectively. What is the probability that the plane is hit when all the four shots are fired?**

(a) 0.4379

(b) 0.6872

(c) 0.6976

(d) 0.3507

(e) None of these

**Q11. Four boys and three girls stand in queue for an interview. The probability that they stand in alternate position, is**

(a) 1/34

(b) 1/35

(c) 1/17

(d) 1/68

(e) 1/5

**Q12. A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?**

(a) 36/135

(b) 36/145

(c) 18/ 91

(d) 30/91

(e) None of these

**Q13. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?**

(a)1/2

(b)2/5

(c)8/15

(d)9/20

(e)None of these

**Q14. 3 digits are chosen at random from 1,2,3,4,5,6,7,8 and 9 without repeating any digit. What is the probability that their product is odd?**

(a) 2/3

(b) 5/108

(c) 5/42

(d) 8/42

(e) 9/42

**Q15. In a box carrying one dozen of oranges, one-third have become bad. If 3 oranges are taken out from the box at random, what is the probability that at least one orange out of the three oranges picked up is good?**

(a) 1/55

(b) 54/55

(c) 45/55

(d) 3/55

(e) None of these

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