Arithmetic Test 4

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Instructions

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Total questions: 20

Time limit: 30 minutes

Each question is worth 1 point, and there are no penalties for wrong answers.

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Time remaining: 30:00
1. A and B together can complete a work in 8 days. B and C together can complete the same work in 12 days. If A, B, and C together can complete the work in 6 days, how long will it take for C to complete the work alone?
  1. 12 days
  2. 18 days
  3. 20 days
  4. 24 days
2. The ages of A and B are in the ratio 3:5. If the difference in their ages is 12 years, what is the sum of their ages?
  1. 36 years
  2. 40 years
  3. 48 years
  4. 56 years
3. A sum of money becomes 3 times itself in 4 years at simple interest. In how many years will it become 5 times itself?
  1. 6 years
  2. 8 years
  3. 10 years
  4. 12 years
4. The marked price of an article is ₹600. After allowing a discount of 20%, it is sold for ₹480. What is the profit percentage?
  1. 20%
  2. 25%
  3. 30%
  4. 35%
5. A man sold an article at a loss of 10%. If he had sold it for ₹90 more, he would have gained 10%. What is the cost price of the article?
  1. ₹600
  2. ₹550
  3. ₹500
  4. ₹450
6. If the ratio of the volumes of two cubes is 8:27, what is the ratio of their surface areas?
  1. 4:9
  2. 2:1
  3. 2:3
  4. 3:4
7. A certain sum becomes ₹2916 in 3 years and ₹3240 in 4 years at simple interest. What is the sum?
  1. ₹1800
  2. ₹2000
  3. ₹2100
  4. ₹2400
8. The length of a rectangle is twice its breadth. If the perimeter of the rectangle is 24 cm, what is its area?
  1. 30 cm²
  2. 24 cm²
  3. 36 cm²
  4. 48 cm²
9. If 30% of a number is equal to 40% of another number, what is the ratio of the first number to the second number?
  1. 3:2
  2. 3:4
  3. 4:2
  4. 4:3
10. A train covers a distance of 800 km in 8 hours. If the speed of the train is increased by 20 km/h, how much time will it take to cover the same distance?
  1. 7 hours
  2. 6 hours
  3. 5 hours
  4. 4 hours
11. A bag contains 6 red balls, 4 blue balls, and 2 green balls. If a ball is drawn at random, what is the probability that it is neither red nor blue?
  1. 1/3
  2. 1/4
  3. 1/5
  4. 1/6
12. If the sum of two numbers is 20 and their difference is 8, what is the product of the two numbers?
  1. 96
  2. 112
  3. 120
  4. 130
13. A mixture contains alcohol and water in the ratio 4:5. If 5 liters of water is added to the mixture, the ratio becomes 4:7. What was the initial quantity of the mixture?
  1. 35 liters
  2. 40 liters
  3. 45 liters
  4. 50 liters
14. A circular garden has a circumference of 88 meters. What is the radius of the garden?
  1. 11 meters
  2. 14 meters
  3. 16 meters
  4. 22 meters
15. In a class, the average score of 30 students in a test is 70. If the average score of the first 15 students is 60 and the average score of the remaining students is 80, what is the number of students in the class?
  1. 25
  2. 30
  3. 35
  4. 40
16. A sum of money amounts to ₹8400 in 2 years at 5% per annum compound interest. What was the principal amount?
  1. ₹5000
  2. ₹7200
  3. ₹8000
  4. ₹8400
17. If a train travels at a speed of 72 km/h, it reaches its destination 1 hour late. If it travels at a speed of 96 km/h, it reaches 1 hour early. What is the distance to the destination?
  1. 252 km
  2. 288 km
  3. 324 km
  4. 360 km
18. In a bag, there are 8 red balls, 6 green balls, and 4 blue balls. If a ball is drawn randomly from the bag, what is the probability that it is not blue?
  1. 7/9
  2. 5/9
  3. 2/3
  4. 4/9
19. The perimeter of a square is 36 cm. What is the area of the square?
  1. 49 cm²
  2. 64 cm²
  3. 80 cm²
  4. 81 cm²
20. A man walks at a speed of 5 km/h for 4 hours and then at a speed of 8 km/h for 3 hours. What is the average speed for the entire journey?
  1. 6.2 km/h
  2. 6.4 km/h
  3. 6.5 km/h
  4. 6.8 km/h

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