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Q1. Ram can complete a work in 15 days and Shyam can complete it in 25 days. They start working together, but Ram leaves 5 days before the completion of the work. In how many days was the work completed?
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Q2. A can do a work in 20 days. B can do it in 25 days. They work together for 5 days. Then A leaves and is replaced by C. They complete the remaining work in 10 days. If the total wages are Rs. 9000, what is the share of C?
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Q3. A sum of money becomes ₹7,500 in 4 years and ₹8,700 in 7 years at the same rate of simple interest. What is the principal amount?
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Q4. A train travelling at 45 km/hr crosses a bridge in 40 seconds. What is the length of the bridge if the train is 200m long?
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Q5. A can do a piece of work in 50 days. He works for 10 days and then B alone completes the remaining work in 20 days. In how many days can B alone complete the work?
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Q6. At what time between 1 PM and 2 PM will the hands of a clock be together?
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Q7. A motorboat travels downstream at 30 kmph and upstream at 20 kmph. If it takes 5 hours for the boat to cover the distance between two points and return, what is the distance between the two points?
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Q8. Solve for θ: cos(θ) = √3/2
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Q9. 20 men and 16 women can complete a work in 18 days. 15 men and 24 women can complete the same work in 20 days. In how many days can 10 men and 8 women complete the work?
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Q10. A and B can complete a work in 6 days and 8 days respectively. They work together and earn Rs. 2800. What is the share of A?
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Q11. A car travels from town A to town B at 30 km/hr and returns at 20 km/hr. If the total time taken is 5 hours, what is the distance between the towns?
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Q12. A shopkeeper sells two pens for Rs. 150 each. He gains 20% on one and loses 25% on the other. What is his net profit or loss percentage?
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Q13. A cistern is filled by two taps in 8 hours and 12 hours. It can be emptied by a third tap in 6 hours. If all three taps are opened, in how much time will the cistern be filled?
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Q14. The area of a square is 144 sq cm. What is its perimeter?
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Q15. The average speed of a car for the first 3 hours is 50 km/h and for the next 5 hours is 70 km/h. What is the average speed of the car for the entire journey?
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Q16. Which of the following figures would logically follow in the sequence? [Imagine a sequence of arrow pointing right, then up, then left]
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Q17. A, B, and C started a business with initial investments of Rs. 12000, Rs. 16000, and Rs. 20000 respectively. After 6 months, A increased his investment by 25%, B withdrew 12.5% of his investment, and C withdrew Rs. 5000. If the profit at the end of the year was Rs. 48000, what is the difference between A's and B's shares?
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Q18. At what time between 2 PM and 3 PM will the hands of a clock be at right angles?
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Q19. A boat travels upstream at 12 km/hr. If the speed of the stream is 3 km/hr, how long will it take for the boat to travel 90 km downstream?
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Q20. Pipe A fills a tank in 4 hours. Pipe B fills it in 5 hours. If they are opened for 2 hours together and then pipe A is closed, how long will pipe B take to fill the remaining part?