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Quant – Mixture & Allegation – Set 7
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.
- 40 litres of a 30% acid solution is mixed with 40 litres of a 20% acid solution. What is the percentage of acid in the mixture?
- A. 23%
- B. 21%
- C. 25%
- D. 27%
Show answer and explanation
Answer: C. 25%
Acid = 40 × 30% + 40 × 20% = 20 L in 80 L. Percentage = 25%.
- How much water must be added to 40 litres of a 50% acid solution to make it a 10% solution?
- A. 192 litres
- B. 160 litres
- C. 128 litres
- D. 112 litres
Show answer and explanation
Answer: B. 160 litres
Acid = 20 L stays the same. New total = 200 L. Water = 200 - 40 = 160 L.
- A milkman adds water to pure milk and sells the mixture at the cost price of pure milk, gaining 5%. What is the ratio of water to milk in the mixture?
- A. 1 : 10
- B. 1 : 19
- C. 1 : 20
- D. 20 : 1
Show answer and explanation
Answer: C. 1 : 20
A gain of 5% means 5 parts of water for every 100 parts of milk, i.e. water : milk = 1 : 20.
- 100 kg of a salt solution contains 10% salt. How many kg of water must be evaporated to make it a 40% salt solution?
- A. 67 kg
- B. 59 kg
- C. 99 kg
- D. 75 kg
Show answer and explanation
Answer: D. 75 kg
Salt = 10 kg. New weight = 25 kg. Water evaporated = 100 - 25 = 75 kg.
- In what ratio must tea costing Rs 50 per kg be mixed with tea costing Rs 100 per kg to get a mixture worth Rs 75 per kg?
- A. 75 : 76
- B. 1 : 1
- C. 2 : 1
- D. 50 : 51
Show answer and explanation
Answer: B. 1 : 1
Alligation: cheaper : dearer = (100 - 75) : (75 - 50) = 25 : 25 = 1 : 1.
- A mixture of 100 litres has milk and water in the ratio 7 : 3. If 4 litres of water are added, what is the new ratio of milk to water?
- A. 17 : 35
- B. 35 : 19
- C. 35 : 17
- D. 37 : 17
Show answer and explanation
Answer: C. 35 : 17
Milk = 70 L, water = 30 L. After adding 4 L water: 70 : 34 = 35 : 17.
- 40 litres of a 10% acid solution is mixed with 20 litres of a 40% acid solution. What is the percentage of acid in the mixture?
- A. 20%
- B. 24%
- C. 16%
- D. 22%
Show answer and explanation
Answer: A. 20%
Acid = 40 × 10% + 20 × 40% = 12 L in 60 L. Percentage = 20%.
- How much water must be added to 120 litres of a 75% acid solution to make it a 25% solution?
- A. 168 litres
- B. 192 litres
- C. 264 litres
- D. 240 litres
Show answer and explanation
Answer: D. 240 litres
Acid = 90 L stays the same. New total = 360 L. Water = 360 - 120 = 240 L.
- 10 kg of rice at Rs 30 per kg is mixed with 20 kg of rice at Rs 60 per kg. What is the cost of the mixture per kg?
- A. Rs 45
- B. Rs 50
- C. Rs 35
- D. Rs 55
Show answer and explanation
Answer: B. Rs 50
Total cost = 10 × 30 + 20 × 60 = 1500. Per kg = 1500/30 = Rs 50.
- A milkman adds water to pure milk and sells the mixture at the cost price of pure milk, gaining 25%. What is the ratio of water to milk in the mixture?
- A. 5 : 19
- B. 4 : 1
- C. 3 : 10
- D. 1 : 4
Show answer and explanation
Answer: D. 1 : 4
A gain of 25% means 25 parts of water for every 100 parts of milk, i.e. water : milk = 1 : 4.