Advance Math Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11

Ram and Shyam appear for an interview for two vacancies in an organisation for the same post. The probabilities of their selection are 1/6 and 2/5 respectively. What is the probability that none of them will be selected ?

a) $1/5$

b) $1/2$

c) $5/6$

d) $3/5$

Question : 12

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 : 13

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 : 14

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 : 15

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) $5/108$

b) $5/42$

c) $2/3$

d) $8/42$