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Quant – Mixture & Allegation – Set 9
Read the following instructions carefully
- The test contains 10 questions.
- Each question has 4 options, of which only one is correct.
- You have to finish the test in 8 minutes.
- You are awarded 1 mark for each correct answer, and 0.25 marks are deducted for each wrong answer.
- There is no negative marking for questions you do not attempt.
- You may pause the test at any time and resume where you left off.
- Your marks, the correct answers and an explanation for every question are shown as soon as you submit.
- You can take this test as many times as you like. A fresh set is drawn each time you reload the page.
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Review this set's questions and answers (opens after you submit the test)
This free practice set from AndamanJobs has 10 questions to be solved in 8 minutes. Every question is listed below with four options. Open Show answer and explanation under a question to see the correct option and why it is correct. Try the timed test above first, then use this list to revise the questions you got wrong.
- How much water must be added to 80 litres of a 40% acid solution to make it a 10% solution?
- A. 168 litres
- B. 288 litres
- C. 192 litres
- D. 240 litres
Show answer and explanation
Answer: D. 240 litres
Acid = 32 L stays the same. New total = 320 L. Water = 320 - 80 = 240 L.
- A milkman adds water to pure milk and sells the mixture at the cost price of pure milk, gaining 40%. What is the ratio of water to milk in the mixture?
- A. 2 : 5
- B. 8 : 19
- C. 5 : 2
- D. 9 : 20
Show answer and explanation
Answer: A. 2 : 5
A gain of 40% means 40 parts of water for every 100 parts of milk, i.e. water : milk = 2 : 5.
- 60 kg of a salt solution contains 25% salt. How many kg of water must be evaporated to make it a 30% salt solution?
- A. 11 kg
- B. 8 kg
- C. 10 kg
- D. 12 kg
Show answer and explanation
Answer: C. 10 kg
Salt = 15 kg. New weight = 50 kg. Water evaporated = 60 - 50 = 10 kg.
- Milk costs Rs 25 per litre. How much water must be mixed with 40 litres of milk so that the mixture is worth Rs 10 per litre?
- A. 60 litres
- B. 78 litres
- C. 48 litres
- D. 54 litres
Show answer and explanation
Answer: A. 60 litres
Value of milk = 40 × 25 = 1000. Mixture volume = 1000/10 = 100 L. Water = 100 - 40 = 60 L.
- A vessel contains 100 litres of pure milk. 20 litres are removed and replaced by water. Then 20 litres of the mixture are removed and again replaced by water. How much milk is left?
- A. 76 litres
- B. 46 litres
- C. 70 litres
- D. 64 litres
Show answer and explanation
Answer: D. 64 litres
Milk left = 100 × ((100 - 20)/100)² = 64 litres.
- 10 litres of a 30% acid solution is mixed with 10 litres of a 20% acid solution. What is the percentage of acid in the mixture?
- A. 25%
- B. 23%
- C. 31%
- D. 27%
Show answer and explanation
Answer: A. 25%
Acid = 10 × 30% + 10 × 20% = 5 L in 20 L. Percentage = 25%.
- How much water must be added to 40 litres of a 40% acid solution to make it a 10% solution?
- A. 96 litres
- B. 84 litres
- C. 156 litres
- D. 120 litres
Show answer and explanation
Answer: D. 120 litres
Acid = 16 L stays the same. New total = 160 L. Water = 160 - 40 = 120 L.
- Milk costs Rs 25 per litre. How much water must be mixed with 60 litres of milk so that the mixture is worth Rs 20 per litre?
- A. 19 litres
- B. 17 litres
- C. 13 litres
- D. 15 litres
Show answer and explanation
Answer: D. 15 litres
Value of milk = 60 × 25 = 1500. Mixture volume = 1500/20 = 75 L. Water = 75 - 60 = 15 L.
- A mixture of 50 litres has milk and water in the ratio 4 : 1. If 3 litres of water are added, what is the new ratio of milk to water?
- A. 43 : 13
- B. 40 : 13
- C. 13 : 40
- D. 5 : 2
Show answer and explanation
Answer: B. 40 : 13
Milk = 40 L, water = 10 L. After adding 3 L water: 40 : 13.
- 30 litres of a 40% acid solution is mixed with 20 litres of a 20% acid solution. What is the percentage of acid in the mixture?
- A. 30%
- B. 34%
- C. 32%
- D. 26%
Show answer and explanation
Answer: C. 32%
Acid = 30 × 40% + 20 × 20% = 16 L in 50 L. Percentage = 32%.