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Quant – Ratio & Proportion – Set 2
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.
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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.
- If there is a reduction in the number of workers in a factory in the ratio 15 : 11 and an increment in their wage in the ratio 22 : 25, then the ratio by which the total wage of the workers should be decreased is :
- A. 3 : 7
- B. 6 : 5
- C. 3 : 5
- D. 5 : 6
Show answer and explanation
Answer: B. 6 : 5
Workers become 11/15 and wages become 25/22 of the old. Total wage = 11/15 × 25/22 = 5/6, so it is decreased in the ratio 6 : 5.
- If the annual income of A, B and C are in the ratio 1 : 3 : 7 and the total annual income of A and C is Rs.8,00,000, then the monthly salary of B (in ₹ ) is :
- A. Rs. 20,000
- B. Rs. 15,000
- C. Rs. 25,000
- D. Rs. 30,000
Show answer and explanation
Answer: C. Rs. 25,000
A + C = 1 + 7 = 8 parts = 8,00,000, so 1 part = 1,00,000. B's annual income = 3,00,000. Monthly = Rs 25,000.
- A person distributes his pens among four friends A, B, C and D in the ratio 1/3 : 1/4 : 1/5 : 1/6. What is the minimum number of pens the person should have?
- A. 45
- B. 65
- C. 57
- D. 75
Show answer and explanation
Answer: C. 57
Ratio 1/3 : 1/4 : 1/5 : 1/6 = 20 : 15 : 12 : 10 (multiplying by 60). Minimum pens = 20 + 15 + 12 + 10 = 57.
- A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a pair of black socks is double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was :
- A. 4 : 1
- B. 2 : 1
- C. 1 : 2
- D. 1 : 4
Show answer and explanation
Answer: D. 1 : 4
Let a brown pair cost 1 and a black pair 2. Original: 4 black + y brown = 8 + y. Interchanged: y black + 4 brown = 2y + 4. 2y + 4 = 1.5 (8 + y) gives y = 16. Black : brown = 4 : 16 = 1 : 4.
- In two alloys A and B, the ratio of zinc to tin is 5 : 2 and 3 : 4 respectively. 7 kg of the alloy A and 21 kg of the alloy B are mixed together to form a new alloy. What will be the ratio of zinc and tin in the new alloy?
- A. 2 : 3
- B. 1 : 2
- C. 1 : 1
- D. 2 : 1
Show answer and explanation
Answer: C. 1 : 1
Zinc = 5/7 × 7 + 3/7 × 21 = 5 + 9 = 14 kg. Tin = 2 + 12 = 14 kg. Ratio = 1 : 1.
- A box contains Rs.56 in the form of coins of one rupee, 50 paise and 25 paise. The number of 50 paise coins is double the number of 25 paise coins and four times the number of one rupee coins. How many 50 paise coins are there in the box ?
- A. 16
- B. 52
- C. 64
- D. 32
Show answer and explanation
Answer: C. 64
Let the number of one-rupee coins be x. Then 50 paise coins = 4x and 25 paise coins = 2x. Value = x + 2x + 0.5x = 3.5x = 56, so x = 16 and the 50 paise coins = 64.
- A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps and 5 steps of the policeman are equal to 7 steps of the thief. The ratio of the speeds of the policeman and the thief is :
- A. 28 : 25
- B. 56 : 25
- C. 25 : 26
- D. 25 : 28
Show answer and explanation
Answer: A. 28 : 25
In the same time the policeman takes 8 steps and the thief 10. 5 policeman steps = 7 thief steps, so 8 steps = 11.2 thief steps. Ratio = 11.2 : 10 = 28 : 25.
- Two alloys contain tin and iron in the ratio of 1 : 2 and 2 : 3. If the two alloys are mixed in the proportion of 3 : 4 respectively (by weight), the ratio of tin and iron in the newly formed alloy is :
- A. 12 : 23
- B. 13 : 22
- C. 10 : 21
- D. 14 : 25
Show answer and explanation
Answer: B. 13 : 22
Tin in first = 1/3 and in second = 2/5. Mixing 3 : 4: tin = (3 × 1/3 + 4 × 2/5)/7 = 2.6/7 and iron = 4.4/7. Ratio = 2.6 : 4.4 = 13 : 22.
- In the school there were 1554 students and the ratio of the number of the boys and girls was 4 : 3. After a few days, 30 girls joined the school but few boys left; as a result the ratio of the boys and girls became 7 : 6. The number of boys who left the school is :
- A. 74
- B. 84
- C. 76
- D. 86
Show answer and explanation
Answer: C. 76
Boys = 4/7 of 1,554 = 888 and girls = 666. Girls become 696, so boys = 696 × 7/6 = 812. Boys who left = 888 - 812 = 76.
- A mixture contains milk and water in the ratio 5 : 1. On adding 5 litres of water, the ratio of milk and water becomes 5:2. The quantity of milk in the mixture is:
- A. 32.5 litres
- B. 22.75 litres
- C. 25 litres
- D. 16 litres
Show answer and explanation
Answer: C. 25 litres
Let milk = 5x and water = x. 5x / (x + 5) = 5/2 gives 10x = 5x + 25, so x = 5. Milk = 25 L.