Advance Math Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

A car is parked by an owner amongst 25 cars in a row, not at either end. On his return he finds that exactly 15 places are still occupied. The probability that both the neighbouring places are empty is

a) ${15}/{184}$

b) ${15}/{92}$

c) ${91}/{276}$

d) None

Question : 2

To fill a number of vacancies, an employer must hire 3 programmers from among 6 applicants, and 2 managers from among 4 applicants. What is the total number of ways in which she can make her selection ?

a) 132

b) 120

c) 1,490

d) 60

Question : 3

A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective, is:

a) $7/{19}$

b) ${12}/{19}$

c) $4/{19}$

d) ${21}/{95}$

Question : 4

The probability of getting 10 in a single throw of three fair dice is :

a) $1/8$

b) $1/9$

c) $1/6$

d) $1/5$

Question : 5

A bag has 4 red and 5 black balls. A second bag has 3 red and 7 black balls. One ball is drawn from the first bag and two from the second. The probability that there are two black balls and a red ball is :

a) ${11}/{45}$

b) $7/{15}$

c) ${14}/{45}$

d) $9/{54}$

Question : 6

In shuffling a pack of cards three are accidentally dropped. The probability that the missing cards are of distinct colours is

a) ${165}/{429}$

b) ${162}/{459}$

c) ${169}/{425}$

d) ${164}/{529}$