Table of Contents
MIXTURE & ALLIGATION
(Set – 4)
1) In a certain quantity of syrup; 5 parts is honey while 3 parts is water. How much PART OF SYRUP
must be replaced with water in order to get a syrup having half honey and half water.
a) 1/5 b) 2/3 c) 5/9 d) 3/5 e) None of these
2) A vessel full of pure acid contains 10 liters of it. Out of which 2 liters are withdrawn; the vessel
is then filled with water. Next 2 liters of mixture are withdrawn and again vessel is filled up with
water. Find the ratio of the acid left in the vessel with that of the original quantity.
a) 19 : 25 b) 25 : 39 c) 18 : 23 d) 16 : 25 e) None of these
3) Several litres of acid were drawn off a 54 L vessel full of acid and an equal amount of water
added, Again, the same volume of the mixture was drawn off and replaced by water. As a result
the vessel contained 24 L of pure acid. How much of the acid was drawn off initially ?
(1) 12 L (2) 16 L (3) 18 L (4) 24 L (5) None of these
4) 8 liters are drawn from a cask full of wine and is then filled with water. This operation is performed
three more times. The ratio of the quantity of the wine no left in the cask to that of the
water is 16:65. How much wine did the cask hold originally?
(1) 12 L (2) 16 L (3) 18 L (4) 24 L (5) None of these
5) Rs.1500 is invested in two such parts that if one part be invested at 6% and the other at 5%,
the total interest in one year from both investments is Rs.85. How much is invested at 5%?
(1) 200 (2) 650 (3) 500 (4) 400 (5) None of these
6) A man purchases some mangoes at the rate of 3 for Rs.40 and 5 for Rs.60.If he sells all the
mangoes at the rate of 3 for Rs.50, find his gain or loss %
(1) 600/17% (2) 600/19% (3) 500/19% (4) 400/19% (5) None of these
7) The price of a pen and a pencil is Rs. 35. The pen was sold at a 20% profit and the pencil at a
10% loss. If the transaction a man gains Rs. 4, how much is cost price of the pen?
(1) 20 (2) 24 (3) 25 (4) 30 (5) None of these
8) The average of marks obtained by 120 candidates in a certain examination is 35. If the average
mark of passed candidates is 39 and that of the failed candidates are 15. What is the number of
candidates who passed in theexamination?
(1) 120 (2) 125 (3) 90 (4) 100 (5) None of these
Mixture and Alligation
(Set – 4)
9) A batsman average run rate was 60 runs in 50 innings. Difference between the highest and the
lowest score was 180. If these two innings are not included the average of remaining 48 innings
becomes 58. Find his lowest score.
(1) 18 (2) 12 (3) 9 (4) 10 (5) None of these
10) In three classes X, Y and Z; an algebra test is conducted. The average score of class X is 83.
The average score of class Y is 76 and the average score of class Z is 85. The average score of class
X & Y is 79 and the average score of class Y & Z is 81. What is the average score of the classes X, Y
and Z.?
(1) 82.5 (2) 81.5 (3) 90.5 (4) 92.5 (5) None of these
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