PE 1 - Mixture & Alligation | Arithmetic - Mixture, Alligation, Removal & Replacement
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Two boxes A and B are filled with iron and copper, mixed in A in the ratio of 5 : 3 and in B in the ratio of 7 : 3. What quantity must be taken from each box to form a mixture which shall contain 12 kg of iron and 6 kg of copper?
- (a)
6 kg from A, 12 kg from B
- (b)
10 kg from A, 8 kg from B
- (c)
8 kg from A, 10 kg from B
- (d)
12 kg from A, 6 kg from B
- (e)
4 kg from A, 14 kg from B
Solution
Discuss
ReportOne solution of metal contains 90% milk and 10% water. Another solution contains 93% milk and 4% water. Later, they are mixed, so that the mixture contains 9% of water. What percent of milk will it contain?
- (a)
75.5%
- (b)
80.5%
- (c)
85.5%
- (d)
90.5%
- (e)
None of these
P and Q are two different alloys prepared by mixing 'copper' and 'iron' in the ratios of 9 : 4 and 9 : 17, respectively. Find the ratio of 'iron' to 'copper' in R, if equal quantities of these alloys are mixed to form a third kind of alloy R.
- (a)
27 : 25
- (b)
25 : 27
- (c)
13 : 9
- (d)
15 : 27
- (e)
18 : 21
There are two types of alloys A and B, having different prices per gram, their weights being 260 g and 360 g, respectively. After equal amounts of alloy were taken from both, the amount removed from alloy A was mixed with alloy B and vice versa. Now, the resulting two types of alloy have the same price per gram. Find the amount of alloy drawn out from each type of alloy.
- (a)
97.32 gms
- (b)
150.96 gms
- (c)
162.46 gms
- (d)
100 gms
Ankit gets a special drink made of from two different mixtures. First mixture of 150 ml contains 20% of alcohol. What volume (in ml) of another mixture containing 40% of alcohol must be mixed with the first mixture in order to obtain the special drink which contain 32% alcohol?
Jhanvi stole some whisky from a bottle which her father had kept in the cupboard. This bottle of whisky contained 40% alcohol. Jhanvi replaced what she drank by another brand of whisky which contained only 20% alcohol. The whisky in the bottle now has only 30% alcohol. What fraction of the original quantity from the bottle did John steal?
- (a)
1/2
- (b)
2/5
- (c)
4/5
- (d)
2/3
- (e)
1/3
Colour A is made by mixing red, blue and green in the ratio 2 : 6 : 7. Colour B is formed by mixing red, blue and green in the ratio 3 : 5 : 4. If 5 parts of colour A are mixed with 4 parts of colour B, what is the ratio of liquids x, y and z in the resulting mixture?
- (a)
11 : 25 : 17
- (b)
31 : 27 : 30
- (c)
18 : 25 : 19
- (d)
5 : 11 : 11
If 10 litres of water is added to a tub that is already filled with 40 litres of diluted milk, then the concentration of milk in the tub will be 70%. What was the concentration of milk in the tub before water was added to the tub?
- (a)
87.5%
- (b)
90%
- (c)
85%
- (d)
80%
- (e)
Cannot be determined
The ratio of milk to water in a mixture is 2 : 3 and the ratio of water to milk in another mixture is 3 : 4. What will be the ratio of milk to water if 105 litres of each type of mixture is added to 100 litre of pure milk?
- (a)
125 : 144
- (b)
144 : 125
- (c)
187 : 123
- (d)
123 : 187
- (e)
None of these
An alloy contains zinc and tin in the ratio of 3 : 4. Another alloy contains zinc and silver in the ratio of 4 : 3. If both of these alloys are melted and mixed in equal ratios, then what will be the ratio of tin and silver in the new alloy?
- (a)
7 : 3
- (b)
7 : 4
- (c)
4 : 3
- (d)
3 : 1
- (e)
2 : 5