2025 · Level 1
Morning
Group D LEVEL 1 Previous Year Question 15/12/2025 Shift 1 Shift Common
100 questions
120 min
100.0 marks
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31
Part B
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If 20% of a number is added to 84, then the result is the same number. 70% of the same number is:
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Simplify the following:
\(5^{15} \div 25^{\frac{13}{2}} \div 125^{\frac{2}{3}} + 5^{17} \div 125^{\frac{16}{3}} + 5^3\)
\(5^{15} \div 25^{\frac{13}{2}} \div 125^{\frac{2}{3}} + 5^{17} \div 125^{\frac{16}{3}} + 5^3\)
33
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In a parking lot, there are cars and motorcycles totaling 28 vehicles. If there are 92 wheels in total, how many cars are there?
34
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A and B working together can do a piece of work in 3 days. B alone can do the same work in 9 days. How long (in days) will A alone take to do double the work?
35
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After allowing a discount of 50% on the marked price of an article, it is sold for ₹61,649. Find its marked price (in ₹).
36
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Two taps function simultaneously to fill a tank in 24 hours. The second tap fills the tank 14 hours slower than the first tap. How many hours will it take by the second tap to fill the tank alone?
37
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A train, 822 m long, is running at a speed of 67m/s. If it takes 133 seconds to cross a tunnel, then find the length of the tunnel.
38
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A dealer marks his goods at 57% above the cost price and allows a discount of 22% on the marked price. What is his gain percentage (correct to two decimal places)?
39
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Harjeet bought a second-hand scooter for ₹18,000 and spent ₹8,000 for repairing it. At what price should he sell the scooter to get a profit of 10%?
40
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Two trains having lengths of 440 m and 310 m are running at speeds of 60 km/hr and 90 km/hr, respectively, in the same direction. The time taken (in minutes) by the faster train, coming from behind, to completely cross the other train is: