Question
A chemist combines three solutions with active
ingredient concentrations of 10%, 20%, and 30% in the ratio 2:3:5. If the total volume of the mixture is 600 liters, calculate the concentration of active ingredients in the resulting solution.Solution
Let the volume of these three solutions be 2x, 3x and 5x. 2x+3x+5x = 600 10x = 600 x = 60 so, the volume of these three solutions are 120, 180 and 300 liters active ingredient in resulting solution = 10% of 120 + 20% of 180 + 30% of 300 = 12+36+90 = 138 Concentration in resulting solution = 138/600 ×100 = 23%
What is the number of divisors of 480?
A number gives a remainder of 27 when divided by 36. What will be the remainder when the same number is divided by 12?
If the polynomial (2x3 + ax2  + 3x-5) and (x3 + ax² - 2x + a) leave the same remainder when divided by (x - 2), find ...
If '410x8' represents a five-digit number that is divisible by 7, determine the sum of all possible values of 'x'.
If the number 1005x4 is completely divisible by 8, then the smallest integer in place of x will be:
18 is divided into three parts which are in arithmetic progression (A.P.) in such a way that the sum of their square is 158. Find the square of the sum
How many factors of 23 × 33 × 54 × 73 are divisible by 50 but not by 100.
If the 6-digit number 589y72 is completely divisible by 8, then the smallest integer in place of y will be:
Find the smallest 4-digit number which when divided by 10, 15, 20, 25, 30 leaves remainder 9.
Find the remainder obtained by dividing 961125 by 37.
Relevant for Exams:
