Mathematics Quiz-3

1. If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days?

2. A farmer travelled 61 km in 9 hours, partly on foot at 4 km/h and partly by bicycle at 9 km/h. How many kilometres did he walk?

3. A is 3 years older than B and 3 years younger than C, while B and D are twins. How many years older is C than D?

4. A printer numbers the pages of a book starting with 1 and uses 3 189 digits in all. How many pages does the book have?

5. I have sweets. If I pack them 2, 3 or 4 per pack, I have 1 left; if I pack 5 per pack, none are left. What is the minimum number of sweets?

6. A car travelling at 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is its actual speed?

7. Four weavers make 4 mats in 4 days. At the same rate, how many mats do 8 weavers make in 8 days?

8. If a clock takes 7 seconds to strike seven, how long will it take to strike ten?

9. A tailor cuts shirt pieces from rolls of fabric, each roll yielding 10 pieces. At 45 cuts per minute, how many rolls can he cut in 24 minutes?

10. A man completes a journey in 10 hours. He travels the first half at 21 km/h and the second half at 24 km/h. Find the total distance.