Find the sum of the series 51 + 52 + 53 + ... + 1000.
What is the probability of getting a sum 9 from two throws of a dice?
If four coins are tossed, the probability of getting two heads and two tails is -.
The simple interest on Rs. 1,820 from March 9, 2005, to May 21, 2005, at 7.5% rate per annum will be:
Find the angle made by the line 2x - 2y + 3 = 0 with the x-axis in the anticlockwise direction.
If 20% of an electricity bill is deducted, then Rs. 100 is still to be paid. How much was the original bill?
Solve the following quadratic equations to find the values of a and b:
I. a2 - 9a + 20 = 0
II. 2b2 - 5b - 12 = 0
If two vehicles travelling at speeds of 30 km/hr and 48 km/hr respectively cover the same distance, find the ratio of the time taken by both the vehicles.
The ratio of the length and the breadth of a rectangle is 4 : 3, and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle.
Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have an equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?