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Q1. A train travelling at 72 km/hr crosses a 150 meters long platform in 10 seconds. How long will it take to cross a 300 meters long platform?
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Q2. 2 men and 3 women can complete a work in 10 days. 3 men and 2 women can complete the same work in 8 days. In how many days can 1 man and 1 woman complete the work?
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Q3. When an article is sold at a profit of 10%, the profit is Rs. 150. What is the cost price of the article?
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Q4. A, B, and C can complete a work in 8, 10, and 12 days respectively. They start working together. After 3 days, A leaves. After another 2 days, B leaves. C alone completes the remaining work. If the total wages are Rs. 6000, what is C's share?
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Q5. A can do a work in 15 days. B can do the same work in 10 days. They work together for 3 days. Then B leaves. In how many days will A complete the remaining work?
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Q6. A and B start a business with Rs. 2000 and Rs. 3000 respectively. A invests for 8 months and B invests for 6 months. If the total profit is Rs. 2400, what is B's share?
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Q7. A clock strikes once at 1 o'clock, twice at 2 o'clock, thrice at 3 o'clock and so on. How many times will the clock strike in 24 hours?
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Q8. A mixture contains milk and water in the ratio 7:3. If 5 liters of water are removed, the ratio becomes 7:1. Find the initial quantity of milk.
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Q9. If 3 men and 4 women can complete a work in 7 days, and 4 men and 3 women can complete the same work in 6 days. In how many days can 5 men and 2 women complete the work?
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Q10. A sum of money triples itself in 15 years at simple interest. What is the rate of interest per annum?
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Q11. If the cost price of 15 pens is the selling price of 12 pens, then the gain per cent is:
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Q12. At what time between 4 and 5 o'clock will the hands of a clock be together?
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Q13. If x = 30°, then what is the value of 2sin(x)cos(x)?
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Q14. A clock gains 5 minutes every hour. If it is set correctly at noon, what time will it show at 6 PM?
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Q15. A train passes a bridge in 15 seconds. The speed of the train is 54 km/hr. If the length of the bridge is 250 meters, what is the length of the train?
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Q16. In an examination, 35% of the students failed, and 60% of the students who failed were boys. If 40% of the total students were boys, what percentage of the girls failed?
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Q17. Two trains are running in opposite directions at speeds of 60 km/hr and 40 km/hr. What is their relative speed?
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Q18. What is the probability of selecting the letter 'A' from the word 'BANANA'?
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Q19. A shopkeeper allows a discount of 10% on the marked price of Rs. 500. If he still gains 20%, what is the cost price?
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Q20. A train traveling at 72 km/hr crosses a signal post in 8 seconds. What is the length of the train?