How many words are formed from the letters of the word CHAMPION when vowels (A, I, O) always are together?
Find the area of the triangle formed by the points A(1, 2), B(4, 6), and C(5, 1).
A deck of 52 cards is used. Two king cards and one spade are removed from the deck. Then, two cards are drawn randomly one after the other without repla...
A cyclist rides at a constant speed of 12 miles per hour for the first half of a journey. For the second half, the cyclist increases the speed to 18 mil...
Calculate the percentage increase in the total profit of all companies combined from 2020 to 2023.
A cylinder of radius 12 cm containing water reduces its water level by 1 cm when a fully immersed hemi spherical ball is removed from this cylindrical c...
A tangent to a circle of radius 5 cm is drawn from a point 13 cm away from the center of the circle. Find the length of the tangent.
The ages of P, Q, and R are in the ratio 2:3:5. After 5 years, the sum of their ages will be 75 years. What are their present ages?
Two workers, 'X' and 'Y', can complete a task on their own in 18 days and 30 days, respectively. If they work on alternate days, ...
A and B together can complete a task in 12 days. B alone can complete it in 20 days. How long will it take A to complete the task if he works alone?
