Question
How many litres of liquid A was contained by the Can
initially? Quantity I: A Can contains a mixture of two liquids A and B in the ratio 7: 5. When 9 litres of mixture are drawn off and the Can is filled with B, the ratio of A and B becomes 7: 9 . Quantity II: A Can contains a mixture of two liquids A and B in the ratio 4:1. When 10 litres of mixture are drawn off and the Can is filled with B, the ratio of A and B becomes 2: 3 . In each of the following questions, read the given statements and compare the two given quantities on it basis. Give answer:Solution
Quantity I. Suppose the Can initially contains 7x and 5x litres of mixtures A and B respectively.  Quantity of A in mixture left = 7x – 7/12 of 9 = 7x – (21/4) Litres  Quantity of B in mixture left =5x – 5/12 of 9 = 5x – (15/4) Litres   {7x – (21/4)} / {5x – (15/4) + 9 } = 7/9  (28x-21)/(20x+21) = 7/9  So 252x – 189 = 140x + 147 or x = 3.  Or Quantity of A in the Can initially = 7x = 21  Quantity II. Suppose the Can initially contains x and 4x litres of mixtures A and B respectively.  Quantity of A in mixture left = (4x-4/5 of 10) =(4x-8) litres  Quantity of B in mixture left = (1x-1/5 of 10) = (x-2) liters  (4x-8)/(x-2+10) = 2/3  Or 12x – 24 = 2x + 16  So x= 4.  Or Quantity of A in the Can initially = 4x = 16  Hence, Quantity I > Quantity II
Find the wrong number in the given number series.
7, 8, 17, 42, 83, 172- Find the wrong number in the given number series.
8, 16, 32, 70, 128, 256 - Find the wrong number, in the given number series.
320, 160, 80, 50, 20, 10 24, 41, 58, 75, 94, 109
32, 46, 88, 158, 256, 380
Find the wrong term in the given series below.
1024, 130, 34.5, 19.25, 21.5, 44.55
19, 20, 39, 59, 98, 156, 255
6, 22, 76, 314, 1580, 9600
72, 36, 54, 135, 470.5, 2126.25Â
- 2024, 1583, 1193, 822, 498, 209
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