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- Question
8 litres 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 wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally?
Options- A. 18 litres
- B. 24 litres
- C. 32 litres
- D. 42 litres
- Correct Answer
- 24 litres
ExplanationLet the quantity of the wine in the cask originally be x litres
Then, quantity of wine left in cask after 4 operations = litres - 1. Tea worth of Rs. 135/kg & Rs. 126/kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____?
Options- A. Rs. 169.50
- B. Rs.1700
- C. Rs. 175.50
- D. Rs. 180 Discuss
- 2. A picture is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch margin is left all around. What area in square inches does the picture cover?
Options- A. 76
- B. 35
- C. 49
- D. 38.5 Discuss
- 3. A dice is numbered from 1 to 6 in different ways. If 1 is opposite to 5 and 2 is opposite to 3, then
Options- A. 4 is adjacent to 3 and 6
- B. 2 is adjacent to 4 and 6
- C. 4 is adjacent to 5 and 6
- D. 6 is adjacent to 3 and 4 Discuss
- 4. A cube is painted blue on two adjacent surfaces and black on the surfaces opposite to blue surfaces and green on the remaining faces .Now the cube is cut into 216 smaller cubes of equal size.
Options- A. 56
- B. 48
- C. 32
- D. 64 Discuss
- 5. A dice is numbered from 1 to 6 in different ways. If 1 is adjacent to 2, 3 and 5, then which of the following statements is necessarily true?
Options- A. 4 is adjacent to 6
- B. 2 is adjacent to 5
- C. 1 is adjacent to 6
- D. 1 is adjacent to 4 Discuss
- 6. A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
Options- A. 10
- B. 20
- C. 21
- D. 25 Discuss
- 7. A merchant has 1000 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
Options- A. 400 kg
- B. 560 kg
- C. 600 kg
- D. 640 kg Discuss
- 8. A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Options- A. 1/3
- B. 1/4
- C. 1/5
- D. 1/7 Discuss
- 9. The ratio of expenditure and savings is 3 : 2 . If the income increases by 15% and the savings increases by 6% , then by how much percent should his expenditure increases?
Options- A. 25
- B. 21
- C. 12
- D. 24 Discuss
- 10. A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Options- A. 10 liters
- B. 20 liters
- C. 30 liters
- D. 40 liters Discuss
Alligation or Mixture problems
Search Results
Correct Answer: Rs. 175.50
Correct Answer: 38.5
Explanation:
Draw out the diagram and you will see that the width of the picture becomes 8.5 - 3 = 5.5
The length becomes 10 - 3 = 7. The area is now 5.5 x 7 = 38.5
Correct Answer: 2 is adjacent to 4 and 6
Explanation:
If 1 is opposite to 5 and 2 is opposite to 3, then 4 definitely lies opposite to 6. Therefore, 2 cannot lie opposite to any of the two numbers - 4 or 6. Hence, 2 necessarily lies adjacent to both 4 and 6.
Correct Answer: 64
Explanation:
We know that Cubes with no surface painted can be find using , where x is number of cuttings. Here x=6.
Correct Answer: 4 is adjacent to 6
Explanation:
If 1 is adjacent to 2, 3 and 5, then either 4 or 6 lies opposite to 1. So, the numbers 4 and 6 cannot lie opposite to each other. Hence, 4 necessarily lies adjacent to 6.
Correct Answer: 21
Explanation:
Suppose the can initially contains 7x and 5x litres of mixtures A and B respectively
Quantity of A in mixture left = litres.
Quantity of B in mixture left = litres.
So, the can contained 21 litres of A.
Correct Answer: 600 kg
Correct Answer: 1/5
Explanation:
Suppose the vessel initially contains 8 litres of liquid.
Let x litres of this liquid be replaced with water.
Quantity of water in new mixture =
litres.
Quantity of syrup in new mixture = litres.
=> 5x + 24 = 40 - 5x
=> 10x = 16 => x = 8/5
So, part of the mixture replaced = = 1/5.
Correct Answer: 21
Correct Answer: 10 liters
Explanation:
Number of liters of water in 125 liters of the mixture = 20% of 150 = 1/5 of 150 = 30 liters
Let us Assume that another 'P' liters of water are added to the mixture to make water 25% of the new mixture. So, the total amount of water becomes (30 + P) and the total volume of the mixture becomes (150 + P)
Thus, (30 + P) = 25% of (150 + P)
Solving, we get P = 10 liters
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