MIXTURE AND ALLIGATION

1) In what ratio must the rice at Rs.12 per kg be mixed with the rice
at Rs.10.80 per kg so that the mixture of rice be worth Rs.10 per kg?
a) 2:3 b) 2:5 c) 2:7 d) Not possible
2) Two vessels A and B contain sprit and water in the ratio 5:2 and
7:6 respectively. Find the ratio in which these mixtures be mixed to
obtain a new mixture containing sprit and water in the ratio 8:5?
a) 5:9 b) 7:9 c) None of these d) Not possible
3) Vessel ‘A’ contains 150 litres of mixture of milk and water in the
ratio of 3:1. Vessel ‘B’ contains 200 litres of the mixture in the ratio
of 5:2. If the mixtures from both the vessels are poured into vessel
‘C’, find the ratio of the resulting mixture.
a) 15:7 b) 8:3 c) 15:2 d) 143:53
4) 4 kg of a metal contains 1/5 copper and rest is zinc. Another 5 kg
of metal contains 1/6 copper and rest in zinc. The ratio of copper and
zinc into the mixture of these two metals:
a) 49:221 b) 39:231 c) 94:181 d) None of these
5) In what ratio water be mixed with milk costing Rs.12 per litre to
obtain a mixture worth of Rs.8 per litre?
a) 1:2 b) 4:5 c) 3:7 d) None of these
6) A sum of Rs.4000 is lent out in two parts, one at 8% simple interest
and the other at 10% simple interest. In the annual interest is Rs.352,
the sum lent at 8% is
a) 2000 b) 4000 c) 4800 d) 2400
7) A merchant has 1000 kg of sugar, part of which he sells at 8% profit
and the rest at 18%profit. He gains 14% on the whole. The quantity
sold at 18% profit is
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a) 600 b) 500 c) 480 d) None of these
8) How many kilograms of sugar costing Rs.9 per kg must be mixed
with 27kg of sugar costing Rs.7 per kg so that there may be gain of
10% by selling the mixture at Rs.9.24 per kg?
a) 56 kg b) 63 kg c) 75 kg d) 30 kg
9) A jar 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
a) 4/5 b) 19/26 c) 2/3 d) None of these
10) A can contains 40kg of milk, from this container 4kg of milk was
taken out and replaced by water. This process was repeated further
two times. How much milk is now contained by the container?
a) 32 kg b) 29.16 kg c) 28 kg d) 28.8 kg
11) 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 how many litres of liquids A was
contained by the can initially?
a) 21 l b) 24 l c) 45 l d) None of these
12) One alloy contains silver and copper in the ratio 5:1 and the other
contains in the ratio 7:2 respectively. What weights of the two must
be melted together, so as to make a 5 lb mass with 80% silver?
a) 3 lb, 4 lb b) 5 lb, 6 lb c) 2 lb, 3 lb d) 6 lb, 9 lb
13) In what ratio must water be mixed with milk to gain 20% by
selling the mixture at cost price?
a) 1:4 b) 2:7 c) 5:6 d) 1:5
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14) Two vessels A and B contain milk and water mixed in the ratio 4:3
and 2:3 in what ratio must these mixtures be mixed to form new
mixture containing half milk and half water?
a) 3:4 b) 7:5 c) 2:3 d) None of these
15) A 20-litre mixture of milk and water contains milk and water in
the ratio 3: 2. 10 litres of the mixture is removed and replaced with
pure milk and the operation is repeated once more. At the end of the
two removals and replacement, what is the ratio of milk and water
in the resultant mixture?
a) 17:3 b) 9:1 c) 3:17 d) 5:3
16) From a tank of petrol, which contains 200 litres of petrol, the
seller replaces each time with kerosene when he sells 40 litres of
petrol (or mixture). After replacing the petrol with kerosene four
times, the amount of kerosene left in the mixture is:
a) 81.92 L b) 96 L c) 118.08 L d) None of these
17) From a cask of milk containing 30 litres, 6 litres are drawn out and
the cask is filled up with water. If the same process is repeated a
second, then a third time, what will be the number of litres of milk
left in the cask?
a) 5.12 L b) 12 L c) 14.38 L d) 15.36 L
18) In a zoo, there are Rabbits and Pigeons. If heads are counted,
there are 200 and if legs are counted, there are 580. How many
pigeons are there?
a) 90 b) 100 c) 110 d) 120
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19) In a 729 litres mixture of milk and water, the ratio of milk to water
is 7:2. To get a new mixture containing milk and water in the ratio
7:3, the amount of water to be added is:
a) 51 L b) 61 L c) 71 L d) 81 L
20) In a mixture of 75 litres, the ratio of milk and water is 2:1. What
amount of water should be added to the mixture so that the ratio of
milk to water becomes 1:2.
a)30 litresb)45 litresc)60 litresd)75 litres
21) In 30 litres mixture of acid, the ratio of acid and water is 2:3. What
amount of water should be added to the mixture so that the ratio of
acid and water becomes 2:5.
a) 10 litres b)15 litres c)18 litres d)12 litres
22) A man travelled a distance of 90Km in 9 hours partly on foot at 8
kmph and partly on bicycle at 17 kmph. Find the distance travelled
on foot.
a) 46 km b) 56 km c) 62 km d) 52 km
23) Two types of teas worth Rs. 126 per kg and Rs. 135 per kg are
mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth
Rs 153 per kg, the price of the third variety per kg will be?
a) Rs. 147.50 b) Rs. 785.50 c) Rs. 175.50 d) Rs. 258.50
24) Quality A and B, rice costing Rs. 35 per kg and Rs. 65 kg
respectively are mixed. The new average cost of the mixture
obtained is Rs. 50 per kg. the ratio of the quantity of A and B in the
mixture will be:
(a) 1 : 2 (b) 1 : 3 (c) 1 : 1 (d) 1 : 5
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25) In what ratio should coffee powder costing Rs. 2500 per kg be
mixed with coffee powder costing Rs. 1500 per kg so that the cost of
the mixture is Rs. 2250 per kg.?
(a) 1 : 4 (b) 4 : 1 (c) 3 : 1 (d) 1 : 3
26) In what ratio should Darjeeling tea costing Rs. 400 per kg be
mixed with Assam tea costing Rs. 300 per kg so that by selling the
mixture at Rs. 408 per kg there is a profit of 20%.
(a) 1 : 2 (b) 2 : 3 (c) 1 : 5 (d) 1 : 6
27) The average salary of all the associates in a team is Rs. 16000. The
average salary of 7 senior associates is Rs. 24000 and the average
salary of the rest is Rs. 12000. How many associates work in that
team?
(a) 21 (b) 22 (c) 23 (d) 24
28) A container contains 20 L mixture in which there is 10% sulphuric
acid. Find the quantity of sulphuric acid to be added in it to make the
solution to contain 25% sulphuric acid.
(a) 3 L (b) 5 L (c) 4 L (d) 2 L
29) In 50 gm mixture of sand and cement 45% is cement. How much
sand should be added so that the percentage of cement becomes
10%.
(a) 225 gm (b) 175 gm (c) 155 gm (d) 195 gm
30) In what ratio should Darjeeling tea costing Rs. 400 per kg be
mixed with Assam tea costing Rs. 300 per kg so that by selling the
mixture at Rs. 408 per kg there is a profit of 20%.
(a) 1 : 2 (b) 2 : 3 (c) 1 : 5 (d) 1 : 6