Milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3 respectively. In what ratio the liquids in both the plate vessels should be mixed to obtain a new mixture in vessel C, only maintaining half milk and half water?
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Milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3 respectively. In what ratio the liquids in both the plate vessels should be mixed to obtain a new mixture in vessel C, only maintaining half milk and half water?
The fraction of milk in A = 4/(4+3) = 4/7
The fraction of milk in B = 2/(2+3) = 2/5
Let them be mixed in the ratio x:y such that their fraction is 1/2
It can be written as
$$\frac{4x}{7}$$ + $$\frac{2y}{5}$$ = $$\frac{x+y}{2}$$
Upon solving,
$$\frac{4x}{7}$$ - $$\frac{x}{2}$$ = $$\frac{y}{2}$$ - $$\frac{2y}{5}$$
$$\frac{x}{14}$$ = $$\frac{y}{10}$$
$$\frac{x}{y}$$ = $$\frac{7}{5}$$
Required ratio is 7:5
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Study the following example and answer the questions.
An electronic device rearranges numbers step-by-step in a particular order according to a set of rules. The device stops when the final result is obtained. In this case the device stops at Step V.
Input: 85 16 36 04 19 97 63 09
Step I - 97 85 16 36 04 19 63 09
Step II - 97 85 63 16 36 04 19 09
Step III - 97 85 63 36 16 04 19 09
Step IV - 97 85 63 36 19 16 04 09
Step V - 97 85 63 36 19 16 09 04
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Input: 09 25 16 30 32 18 17 06
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Input: 16 09 25 27 06 05
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What is the output of Step V for the input below?
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P # Q means P is the father of Q
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These rivers profoundly shaped the way of life along their banks. In Mesopotamia, the management of water in conditions of unpredictable drought, flood and storm became the central economic and social challenge. Villagers began early to build simple earthworks, dikes, canals, and ditches to control the waters and reduce the opposing dangers of drought during the dry season (usually the spring) and flooding at harvest time.
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Similar developments were occuring at much the same time along the great river valleys in other parts of the world - for example, along the Indus in India and the Hwang Ho in China. The history of early civilization has been shaped to a remarkable degree by the relation of humans and rivers.
This passage basically explains
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The prosperity of Keibera's underground economy is described by the author
through
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Choose the erroneous underlined segment or option 'd' if no error.
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Choose the erroneous underlined segment or option 'd' if no error.
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Identify the incorrect one.
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(a) a
(b) an
(c) the
(d) none
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He is _____ honourable man.
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_____ people with little patience rarely succeed.
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