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The MCQs below are drawn from the Mathematics subject category.
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7351
If the numerator of a fraction is increased by 20% and the denominator is decreased by 10%, the fraction becomes 16/21. What was the original fraction?
A vessel contains 60 liters of pure milk. 6 liters are drawn and replaced by water. This is repeated once more. What percentage of original milk is left?
Volume = pi * r^2 * h. New r = 0.5r. New h = 1.5h. New V = pi * (0.5r)^2 * (1.5h) = pi * 0.25r^2 * 1.5h = 0.375 * original V. Decrease is 1 - 0.375 = 0.625 or 62.5%.
7356
The length and breadth of a rectangle are increased by 20% and 25% respectively. The percentage increase in area is?
Perimeter is 4 * side. It is directly proportional to the side length. If side increases by 10%, perimeter also increases by 10%.
7358
A solution of salt and water contains 5% salt by weight. If 20 liters of water evaporates and the solution now contains 15% salt, find the original quantity of solution.
100 kg fresh fruit has 32% solid mass = 32 kg solid. Dry fruit has 20% water, so 80% is solid. Let total dry fruit be D. 80% of D = 32. D = 32 / 0.8 = 40 kg.
7360
50 kg of an alloy of lead and tin contains 60% lead. How much lead must be melted into it to make the alloy contain 75% lead?
Initial lead = 30 kg, Tin = 20 kg. Add x kg lead. Tin remains 20 kg, which is now 25% of new total. 25% of Total = 20 -> Total = 80. New total = 50 + x = 80 -> x = 30 kg.
