Question
A mixture (acetone and water) contains 40% acetone and
rest 96 litres water. How much acetone should be added to the mixture to make the ratio of acetone to water in the mixture 5:6?Solution
If (8x - 3y) = 196 and 7x:4y = 35:16, then find the value of (x² + 4y²).
Which of the following statements is correct?
I. If x = 12, y = –2 and z = –10, then x³ + y³
+ z³ = 720
II. If x + y = 48 an...
If x + 1/x = 2, find x⁷ + 1/x⁷.
If a3 — b3 = 602 and a— b = 2, then find the value of( a2 + b2)

The certain sum amounts to Rs11313.5 in 2(1/2) years at 12% p.a., interest compounded 10 months. The sum (in Rs) is:
If 9 : 12 :: 12: x, and 28: 42:: 42: y, then the value of 2x + y is:
Two positive numbers differ by 2, and the sum of their reciprocals is 3/4. What is the larger number?