The sum and the product of the roots of the quadratic equation x² + 20x + 3 = 0 are?

The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years from now.

If water is called food, food is called tree, tree is called sky, sky is called wall, on which of the following does a fruit grow?

 
P and Q take part in 100 m race. P runs at 6kmph. P gives Q a start of 8 m and still beats him by 8 seconds. The speed of Q is: 

In what time will the simple interest on Rs. 400 at 10% per annum be the same as the simple interest on Rs. 1000 for 4 years at 4% per annum?

In an exam with 3 multiple-choice questions, each with 4 options and only one correct answer, find the total number of ways a student can get less than all 3 answers correct.

Solve the following quadratic equations to find the values of a and b:

I. a² + 11a + 30 = 0
II. b² + 6b + 5 = 0

A train 110 meters long is running with a speed of 60 kmph. At what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

605 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?

The price of an article increased by 30% in the first year, decreased by 20% in the second year, and then increased by 10% in the next year. If the final price of the article is Rs. 2288, what was the initial price of the article?