Algebra Test - ...

Divide 84 into two parts such that (4/17)^th of one part is equal to other part. Find the product of both the parts.

In a fraction, if both the numerator and denominator are decreased by thrice, it is equal to 2/5. If the numerator is increased by 3 and denominator is increased by 2, the fraction becomes 2/3. Find the fraction.

The sum of the digits of a two digit number is 9. If 27 is subtracted from the number, the resultant number becomes the number obtained on reversing the digits of the original number Find the original number.

The sum of three consecutive even numbers is 330, then find 3/4th of the greatest number.

If the side of a chess board is smaller than its perimeter by 42 cm then find the area of the chess board.

Cost of two chairs and three tables is Rs 3320, while the cost of one chair and two tables is Rs Rs 2020. Find the cost of each chair.

A number is 20 less than ten times of the average of its fifth, quarter and one-fourteenth. Find 2/9 of the number.

A number is such that it is as much greater than 560 as it is less than 894.  Find 3/7 of the number.

Three prizes are to be distributed in a quiz programme. The price-value of the second prize is seven-eighths of the price value of the first prize and the price value of the third prize is five-sixths of the second prize. If the total price value of three prizes is Rs 18,000, then find the price value of third price.

Runs scored by Rahul in a match are 38 more than the balls faced by Virat. The number of balls faced by Rahul is 8 less than the runs scored by virat. If together they have scored 144 runs and the balls faced by Rahul are 18 more than those faced by virat. Find the number of runs scored by Rahul.