Question
Three bottles of the same size are filled with mixture
of orange squash and water in the ratio 2:3, 3:4 and 4:5. They are emptied into a big jug. Find the proportion of orange squash and water in it.Solution
Assume each bottle has a volume equal to the sum of the ratio parts for easy calculation. Let the volume of each bottle be LCM of (2+3=5, 3+4=7, 4+5=9) = 315 units. Bottle 1 (2:3): Squash = (2/5)*315 = 126, Water = (3/5)*315 = 189 Bottle 2 (3:4): Squash = (3/7)*315 = 135, Water = (4/7)*315 = 180 Bottle 3 (4:5): Squash = (4/9)*315 = 140, Water = (5/9)*315 = 175 Total Squash = 126 + 135 + 140 = 401 Total Water = 189 + 180 + 175 = 544 So, the ratio is 401 : 544.
105   107   111   114   ?   127
8 6 2 ? -1 9.5
...64Â Â Â 48Â Â Â 36Â Â Â 22Â Â Â Â 16Â Â Â Â 8
(45)2 ÷ ∛729 + (35)2 ÷ 1.4 =?
24, 33, 50, ?, 108, 149
16 4 2 1.5 1 1.875
...Find the wrong number in the given series.
3 1.5 1.5 ? 4.5 11.25
...18Â Â Â Â Â Â Â Â Â Â 434Â Â Â Â Â Â Â Â 642Â Â Â Â Â Â Â Â 746Â Â Â Â Â Â Â Â 798Â Â Â Â Â Â Â Â ?
...720    ?     240     180      144     120
...If  204    196       223   x  284
Then, what is the average of the numbers of the above series?
...
