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Quantitative Aptitude

MIXTURES AND ALLEGATIONS MCQs

Alligations And Mixtures

Total Questions : 245 | Page 19 of 25 pages
Question 181. The cost of type - I rice is Rs. 15 per kg and type - II is Rs. 20 per kg. If both type - I and type - II are mixed in the ratio of 2 : 3, then find the price per kg of the mixed variety.
  1.    18
  2.    19
  3.    19.50
  4.    18.50
 Discuss Question
Answer: Option A. -> 18

Let the price per kg of mixed variety be Rs. P; then By the rule of alligation,Now, (20 - P) / (P - 15) = (2 / 3) ? 60 ? 3P = 2P ? 30 ? 5P = 90 ? P = Rs. 18


Question 182. A container is full of milk. One-third of milk is taken out of it and replaced by same quantity of water. Then again one-third of the mixture is taken out of it and replaced by the same quantity of water. The process is repeated 4 times. If 16 litres of milk is left in the container at the end of 4th operation, find the capacity of the container.
  1.    81 litres
  2.    85 litres
  3.    76 litres
  4.    82 litres
 Discuss Question
Answer: Option A. -> 81 litres

Let capacity of the container be P liter; then P(1 ? 1/3)4 = 16 ? P (2 / 3)4 = 16 ? P(16 / 81) = 16 liters? P = 81 liters


Question 183. In a courtyard there are many chickens and goats. If heads are counted, it comes to 100 but when legs are counted, it comes to 320. Find the number of chickens and goats in the courtyard.
  1.    30 , 70
  2.    20 , 50
  3.    40 , 60
  4.    50 , 50
 Discuss Question
Answer: Option C. -> 40 , 60

Average no. of legs per head = (320 / 100) = (16 / 5) or, 3 : 2 No. of goats = (3 / 3 + 2) × 100 = 60 No. of chickens = 100 ? 60 = 40.


Question 184. In a mixture of 60 liters, the ratio of milk and water is 2 : 1. If the ratio of the milk and water is to be 1 : 2, then the amount of water to be further added is ?
  1.    20 litres
  2.    40 litres
  3.    60 litres
  4.    30 litres
 Discuss Question
Answer: Option C. -> 60 litres

Here , Ratio of milk and water in mixture of 60 litre = 2 : 1? Quantity of milk = 2y = 40 litreQuantity of water = y = 20 litreIf ratio of milk and water is to be 1 : 2, then in 40 litres of milk, water should be 80 litre? Quantity of water to be added = 60 litre.


Question 185. In what proportion should water and wine at Rs. 22·50 a liter be mixed to reduce the price to Rs. 18 a liter?
  1.    2 : 3
  2.    4 : 1
  3.    3 : 2
  4.    1 : 4
 Discuss Question
Answer: Option D. -> 1 : 4

Here , Ratio of milk and water in mixture of 60 litre = 2 : 1? Quantity of milk = 2y = 40 litreQuantity of water = y = 20 litreIf ratio of milk and water is to be 1 : 2, then in 40 litres of milk, water should be 80 litre? Quantity of water to be added = 60 litre.


Question 186. A merchant has 50 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 ?
  1.    30 kg
  2.    15 kg
  3.    20 kg
  4.    35 kg
 Discuss Question
Answer: Option A. -> 30 kg

Here , Ratio of milk and water in mixture of 60 litre = 2 : 1? Quantity of milk = 2y = 40 litreQuantity of water = y = 20 litreIf ratio of milk and water is to be 1 : 2, then in 40 litres of milk, water should be 80 litre? Quantity of water to be added = 60 litre.


Question 187. Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio ?
  1.    7 : 3
  2.    4 : 5
  3.    2 : 5
  4.    3 : 5
 Discuss Question
Answer: Option B. -> 4 : 5

Here , Ratio of milk and water in mixture of 60 litre = 2 : 1? Quantity of milk = 2y = 40 litreQuantity of water = y = 20 litreIf ratio of milk and water is to be 1 : 2, then in 40 litres of milk, water should be 80 litre? Quantity of water to be added = 60 litre.


Question 188. The ratio of milk and water in 66 kg of adulterated milk is 5 : 1. Water is added to it to make the ratio 5 : 3. The quantity of water added is ?
  1.    16·500 kg
  2.    20 kg
  3.    22 kg
  4.    24·750 kg
 Discuss Question
Answer: Option C. -> 22 kg

Here , Ratio of milk and water in mixture of 60 litre = 2 : 1? Quantity of milk = 2y = 40 litreQuantity of water = y = 20 litreIf ratio of milk and water is to be 1 : 2, then in 40 litres of milk, water should be 80 litre? Quantity of water to be added = 60 litre.


Question 189. A petrol pump owner mixed leaded and unleaded petrol in such a way that the mixture contains 10 % unleaded petrol. What quantity of leaded petrol should be added to 1 liter mixtures, so that the percentage of unleaded petrol becomes 5 %?
  1.    900 ml
  2.    1800 ml
  3.    1000 ml
  4.    1900 ml
 Discuss Question
Answer: Option C. -> 1000 ml
Question 190. How much chicory at Rs. 24 a kg should be added to 15 kg of tea at Rs. 60 a kg as to make the mixture worth Rs. 39 a kg?
  1.    27 kg
  2.    21 kg
  3.    20 kg
  4.    18 kg
 Discuss Question
Answer: Option B. -> 21 kg

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