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Q1. 12 l of water is added to a certain quantity of pure chocolate costing Rs. 6 / l. If by selling the mixture at the same price as before, a profit of 15% is made, then what is the amount of pure chocolate in the mixture?
(a) 65 l
(b) 80 l
(c) 72 l
(d) 68 l
Q2. The proportion of acid and water in three samples is 5 : 6 ,7 : 5 and 4 : 7. A mixture containing equal quantities of all three samples is made. The ratio of water and acid in the mixture is :
(a) 221 : 183
(b) 445 : 233
(c) 185 : 211
(d) 183 : 221
Q3. A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the resultant mixture in the barrel becomes 1 : 1 ?
(a) 1/4
(b) 1/3
(c) 3/4
(d) 2/3
Q4. Three mixtures of wine & water A, B and C are being stored in different containers. The percentage of the wine when A & B are mixed together is 57%. The percentage of wine when B and C are mixed together is 47%. If all the mixtures are mixed completely in one container & percentage of wine in A, B, & C is 43%, 61% & 45% respectively then find overall percentage of wine in the mixture?
(A) 46.44%
(B) 48.68%
(C) 46.86%
(D) 48.86%
Q5. Solution A contains 48% acid and solution B contains 93% acid. In what ratio should solution A be mixed with Solution B to obtain a mixture with 67% acid?
(a) 19 : 21
(b) 31 : 12
(c) 26 : 19
(d) 38 : 13
Q6. Some amount out of Rs. 9000 was lent at 11% p.a. and the remaining at 7% p.a. If the total simple interest from both the fractions in 3 years was Rs. 2454, the sum lent at 11% p.a. was:
(a) Rs. 5960
(b) Rs. 5500
(c) Rs. 3700
(d) Rs. 4700
Q7. 23 kg of rice costing Rs. 56/kg is mixed with 13 kg of rice costing Rs. 86/kg The average per kg price of mixed rice is
(a) Rs. 58.43
(b) Rs. 69.63
(c) Rs. 56.83
(d) Rs. 66.83
Q8. A jar contained a mixture of two liquids A and B in the ratio 15 : 8 when 46 litres of the mixture was taken out and 32 litres of liquid B was poured into the jar, this ratio become 6 : 7. The quantity of liquid A contained in the jar initially was
(a) 75.62litres
(b) 80.63litres
(c) 80.52litres
(d) 81.35litres
Q9. An alloy of copper and aluminium has 40% copper. An alloy of copper and zinc has copper and zinc in the ratio 2 : 7. These two alloys are mixed in such way that in the overall alloy, there is more aluminum than zinc, and copper constitute X% of this alloy, what is the range of values X can take.
(a) 20% ≤ X ≤ 40%
(b) 30% ≤ X ≤ 40%
(c) 32.5 %< X ≤ 40%
(d) 33.33% ≤ X ≤ 40%
Q10. A man mixes 5 kilolitres of milk at Rs 600 per kilolitre with 6 kiloliters of milk at Rs 580 per kilolitre. How many kiloliters of water should be added to make the average value of the mixture Rs 480 per kilolitre?
(a) 22 : 5
(b) 11 : 2
(c) 22 : 7
(d) 11 : 5
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