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

Question : 21

The probability that A can solve a problem is $2/3$ and B can solve it is $3/4$. If both attempt the problem, what is the probability that the problem gets solved ?

a) $7/{12}$

b) $5/{12}$

c) ${11}/{12}$

d) $9/{12}$

Question : 22

If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is :

a) $1/5$

b) $1/{10}$

c) $1/3$

d) $1/2$

Question : 23

A and B play a game where each is asked to select a number from 1 to 5. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is

a) 24/25

b) 2/25

c) 1/25

d) none of these

Question : 24

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) 168

b) 189

c) 105

d) 120

Question : 25

ABCD is a convex quadrilateral. 3, 4, 5 and 6 points are marked on the sides AB, BC, CD and DA respectively . The number of triangles with vertices on different sides is

a) 320

b) 282

c) 270

d) 342