Mathematical Ab...

A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale:

In a town the ratio of men, women, and children is 9 : 8 : 3. 80% men are literate and 30% women are illiterate. If 90% of children are literate, then the illiteracy rate of that town is:

tan 54° can be expressed as

What is the least value of 25 cosec² x + 36 sec² x?

An observer 1.5 metres tall is 20.5 metres away from a tower 22 metres high. Determine the angle of elevation of the top of the tower from the eye of the observer.

Anil and Mukesh entered into a partnership and invested Rs 3000 and Rs 4000 respectively. After 5 months, Umang entered and invested Rs 5000, Anil invested Rs 2000 more, and Mukesh withdrew Rs 1000. After 3 more months, Umang withdrew Rs 1000. If Umang is to be provided Rs 1000 as a monthly salary, what is the profit at the end of the year if Umang earned a total of Rs 10,100 (including the salary) from the partnership?

A circle with center 'O' and radius 2.6 cm. The angle drawn in the minor sector is 108°. What is the angle drawn in the major sectors?

An urn contains 5 red and 5 black balls. A ball is drawn at random, its color is noted, and is returned to the urn. Moreover, 2 additional balls of the color drawn are put in the urn and then a ball is drawn at random. What is the probability that the second ball is red?