There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or person 2. Task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done ?

In a triangle ABC, AD is the bisector of angle A. If AC =4.2 cm, DC = 6 cm, BC =10 cm, find AB.

The maximum value of 3 cosx + 4sinx + 8 is

The total volume of soaps sold is 680 lakh units. The volume of Lux sold is 136 lakh units. If the percentage of Lifebuoy sold is 30%, Camay 10%, Liril 15% and Mysore Sandal 10%, answer the following question. (A pie chart shows the shares of Lifebuoy, MS, Camay, Liril, Lux and O…

If one third of one-fourth of a number is 15, then three-tenth of that number is

The angle created by two hands of a clock when the clock shows 5.20 P.M. is :

Students in a commerce class took a test. The average score of men is 70 and of women is 83. The class average is 76. What is the ratio of men to women in the class?

A management institute has 6 senior professors and 4 junior professors, 3 professors are selected at random for a government project. The probability that at least one of the junior professors would get selected is :

What is the probability of drawing a king or a heart from a deck of cards ?