Question
From a cask filled with wine, 108.75 liters are first
drawn and replaced with water. From this mixture 87 liters are drawn and replaced with water. The ratio of wine to water in the cask is now 3 : 2. How many liters of wine did the cask initially hold?Solution
The correct answer is A
If the sum of three numbers is zero, then which of the options below will always be equal to the value of the sum of the cubes of those numbers?
If a =
and ...- If [3a + (1/2a)] = 5, then find the value of [9a² + (1/4a²) - 6]
Suppose xy = -15 and (x² + y²) = 34, then determine the value of (x – y).
If (a + b) = 10 and ab = 21, find the value of (a² + b²).
If x = 21, then the value of x5 - 22x4 + 22x3 - 22x2 + 22x - 1 is
(x + 1)2 + (y – 3) 2 + (z + 5) 2 = 0, then find the value of 2x + 3y - z.
If tan x + cot x  = 7, find  tan3 x + cot3 x = ?
[a/(2a²  + 5a + 2)] = 1/6 , then find the value of (a+1)/a ?
The roots of the quadratic equation x² + px + q = 0 are in the ratio 3:4. If the sum and product of the roots are 7 and 12, respectively, find the valu...