A box contains only three colors of balls- red, green and blue. What is the minimum number of balls that should be picked from the box to ensure that at least 5 red balls or at least 6 green balls or at least 8 blue balls are picked?
If we pick at least 4 red balls, 5 green balls and 7 blue balls from the box, the total number of balls picked from the box will be 16. If one more ball is picked from the box, irrespective of what it is, it can be said that at least 5 red balls or at least 6 green balls or at least 8 blue balls have been picked from the basket. Hence, required number of balls = 16 + 1 = 17
A car covers a distance of 240 km at a speed of 60 km/h. It then covers another 180 km at a speed of 90 km/h. What is the average speed of the car for t...
If sec x - tan x = 1/3, find sec x + tan x:
A vessel contains a mixture of milk and water in the ratio 3: 2. If 10 liters of the mixture are taken out and replaced with 10 liters of water, the rat...
765 ÷ 25 × 100 ÷ 20 + 13 = x3 + 41, find 'x'
Two points A and B are located such that the distance between them is 100 meters. If point A is at the origin and point B is at an angle of 30 degrees f...
Prove the identity: tan² θ + 1 = sec² θ
If a + b + c = 0, find the value of a³ + b³ + c³ .
An amount of ₹10000 is invested in two parts at 8% and 6% per annum simple interest. If the total interest earned after 3 years is ₹2070, determine ...
A rectangle has a perimeter of 60 cm, and the ratio of its length to its width is 3:2. Find the length of its diagonal.
A cylindrical tank has a radius of 4 meters and a height of 6 meters. Calculate the total surface area of the tank.