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Question 1
A vessel full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is :
Question 2
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Question 3
The 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 vessels be mixed to obtain a new mixture in vessel C containing half milk and half water?
Question 4
In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as a mixture of 45% alcohol strength?
Question 5
Brass alloy contains copper and zinc. Composition of bronze alloy is copper 80%, zinc 4% and tin 16%. An alloy is formed by mixing brass and bronze whose composition is 74% copper, 16% zinc and 10% of tin. What is the composition of brass?
Question 6
There are 100 animals in a zoo. Total number of legs are 330. If the zoo has either peacocks or rhinoceros, how many rhinoceros are there in the zoo? If rhinos have 4 legs and peacocks have 2 legs.
Question 7
Albert mixes two varieties of cocoa costing $20/kg, $25/kg and sells the mixture at a profit of 20% at $28/kg. What is the approximate percentage of $20 cocoa in the mixture?
Question 8
Mango pulp A and B labelled as 100% mango concentrate, was found to show 0.5% and 0.8% error respectively. If a hybrid pulp, using 16 litre and 10 litre of A and B respectively, is made, find the error in the concentration of the resulting mixture of mango pulp-
Question 9
A man selling pulses of grade A and B, mixes them in a certain ratio p : q, such that the cost price of pulses are Rs. 80 and Rs. 70 per kg respectively. Given that, p and q are in their lowest terms, find the value of p + q, if the mixture now cost Rs. 78 per kg.
Question 10
Water at no-purchase cost is added by a vendor to a glass of juice worth Rs 23. Then the ratio in which he should mix the water to be able to sell the liquefied mixture at 20% profit by selling it for Rs. 25 is?
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Jun 5SSC & Railway
