This practice test consists of allegations questions which are part of the CAT Quantitative section.
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A mixture of milk and water measures 60 litres. It contains 20% water. How many litres of water should be added to it so that water may be 25%?
6 litres
8 litres
4 litres
10 litres
A mixture of spirit and water measure 80 litres. It contains 20% water. How much water should be added to it so that water may be 25%
8 1/3 litres
6 1/3 litres
5 1/3 litres
7 1/3 litres
A man lent Rs.2000, part of this at 4% and the rest at 6% per annum simple interest. The whole annual interest amounted to Rs.92. How much did he lend at 6%?
Rs.900
Rs.800
Rs.600
Rs.1000
A man invested Rs.2500 into two parts such that if one part be put out at 5% S.I. and other at 6%, the yearly income may be Rs.140. How much did he invest at 5%?
Rs.1250
Rs.1500
Rs.750
There are two vessels A and B in which the ratio of milk and water are as 5:2 and 8:7 respectively. Two litres are drawn from vessel A and 3 litres from vessel B, and are mixed in another empty vessel. What is the ratio of milk and water in it?
none of these
106:69
103:72
89:86
Two litres of mixture in which there is 2/5 of water and the rest spirit is mixed with five litres of mixture in which there is 1/3 of water and the rest spirit. What is the ratio of water and spirit in the new mixture?
25:33
37:68
18:23
12:17
One vessel contains a mixture of 5 parts pure wine and 3 parts soda, whereas the other vessel contains a mixture of 9 parts pure wine and 5 parts soda. Compare the strength of the wine.
35:36
7:8
7:4
14:5
One milk can contains a mixture of milk and water in the ratio 7:5 and the other contains the mixture of milk and water in which 2/5th is water. Compare their purity.
10:7
36:35
5:3
A woman sold 100 oranges at Rs.12.10P, some at the rate of 3 for 35P and the rest at 7 for 85P. How many were sold at the first rate?
45
21
9
15
A merchant has 100 kgs of sugar, part of which he sells at 7% profit and the rest at 17% profit. He gains 10 % on the whole. Find how much is sold at 7% profit?
50 kgs
70 kgs
40 kgs
30 kgs
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