State Exam — Quantitative Aptitude
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Showing 241–250 of 429 questions
Q.241
Easy
Numbers
A shopkeeper marks an item at Rs. 500. He gives a discount of 20% and still makes a profit of 25%. What is the cost price?
Correct Answer: A. Rs. 320
Explanation:
Selling Price = 500 × 80/100 = Rs. 400. If profit is 25%, then CP = 400 × 100/125 = Rs. 320
Q.242
Easy
Numbers
Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If both pipes are opened together, in how many hours will the tank be filled?
Correct Answer: A. 6.67 hours
Explanation:
Combined rate = 1/12 + 1/15 = 5/60 + 4/60 = 9/60 = 3/20. Time = 20/3 = 6.67 hours
Q.243
Easy
Numbers
A train 250m long crosses a platform 150m long in 20 seconds. What is the speed of the train?
Correct Answer: B. 72 km/h
Explanation:
Distance covered = 250 + 150 = 400m. Speed = 400/20 = 20 m/s = 20 × 18/5 = 72 km/h
Q.244
Easy
Numbers
A boat's speed in still water is 12 km/h and the speed of current is 3 km/h. How long will it take to travel 60 km downstream?
Correct Answer: A. 4 hours
Explanation:
Downstream speed = 12 + 3 = 15 km/h. Time = 60/15 = 4 hours
Q.245
Easy
Numbers
If a number is decreased by 40%, it becomes 300. What is the original number?
Correct Answer: A. 500
Explanation:
Let original number be x. x × 60/100 = 300. x = 300 × 100/60 = 500
Q.246
Easy
Numbers
A man buys goods for Rs. 2500 and sells them at a loss of 8%. What is the selling price?
Correct Answer: A. Rs. 2300
Explanation:
Selling Price = 2500 × 92/100 = Rs. 2300
Q.247
Easy
Numbers
If 15% of a number is 45, what is 40% of that number?
Correct Answer: A. 120
Explanation:
Number = 45 × 100/15 = 300. 40% of 300 = 300 × 40/100 = 120
Q.248
Easy
Numbers
A number increases by 25%, then decreases by 20%. What is the net percentage change?
Correct Answer: A. 0%
Explanation:
Let number = 100. After 25% increase: 125. After 20% decrease on 125: 125 × 0.8 = 100. Net change = 0%
Q.249
Easy
Numbers
In a shop, the cost price of an item is Rs. 500. If it's sold at 35% profit, what is the selling price?
Correct Answer: A. Rs. 675
Explanation:
SP = CP + Profit = 500 + (35% of 500) = 500 + 175 = Rs. 675
Q.250
Easy
Numbers
A can complete a task in 20 days. B can complete it in 30 days. If they work together, how many days will it take?
Correct Answer: B. 12 days
Explanation:
A's work rate = 1/20, B's work rate = 1/30. Combined rate = 1/20 + 1/30 = 5/60 = 1/12. Time = 12 days