State Exam — Quantitative Aptitude
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Showing 231–240 of 429 questions
Q.231
Easy
Numbers
A merchant buys articles at Rs. 80 each and sells them at a profit of 37.5%. What is the selling price?
Correct Answer: A. Rs. 110
Explanation:
SP = CP + Profit = 80 + (80 × 37.5/100) = 80 + 30 = Rs. 110.
Q.232
Easy
Numbers
If a man works alone, he can complete a task in 12 days. If his wife works alone, she can complete it in 18 days. Working together, in how many days will they complete the task?
Correct Answer: A. 7.2 days
Explanation:
Combined rate = 1/12 + 1/18 = 3/36 + 2/36 = 5/36. Time = 36/5 = 7.2 days.
Q.233
Easy
Numbers
A pipe can fill a tank in 6 hours and empty it in 10 hours. If both pipes are opened together, how long will it take to fill the tank?
Correct Answer: B. 15 hours
Explanation:
Net rate = 1/6 - 1/10 = 5/30 - 3/30 = 2/30 = 1/15. Time = 15 hours.
Q.234
Easy
Numbers
Simple Interest on Rs. 5000 at 8% per annum for 2.5 years is:
Correct Answer: C. Rs. 1000
Explanation:
SI = (P × R × T) / 100 = (5000 × 8 × 2.5) / 100 = 100000/100 = Rs. 1000.
Q.235
Easy
Numbers
A boat takes 4 hours to travel 48 km downstream and 6 hours to travel the same distance upstream. What is the speed of the current?
Correct Answer: B. 2 km/h
Explanation:
Downstream speed = 48/4 = 12 km/h. Upstream speed = 48/6 = 8 km/h. Current speed = (12 - 8)/2 = 2 km/h.
Q.236
Easy
Numbers
A person invested Rs. 10000 in a scheme. After 2 years at 10% compound interest, the amount becomes:
Correct Answer: A. Rs. 12100
Explanation:
Amount = P(1 + R/100)^T = 10000(1.1)^2 = 10000 × 1.21 = Rs. 12100.
Q.237
Easy
Numbers
A number when increased by 15% becomes 575. What is the original number?
Correct Answer: A. 500
Explanation:
Let original number = x. x × 1.15 = 575. x = 575/1.15 = 500.
Q.238
Easy
Numbers
A man buys 50 pens at Rs. 3 each and sells them at Rs. 3.50 each. What is his profit percentage?
Correct Answer: B. 16.67%
Explanation:
CP = 50 × 3 = 150. SP = 50 × 3.5 = 175. Profit % = (25/150) × 100 = 16.67%.
Q.239
Easy
Numbers
A boat's speed in still water is 15 km/h and current speed is 3 km/h. What is the ratio of downstream to upstream speeds?
Correct Answer: B. 3:2
Explanation:
Downstream = 15 + 3 = 18. Upstream = 15 - 3 = 12. Ratio = 18:12 = 3:2.
Q.240
Easy
Numbers
If 75 workers can build a wall in 120 days, how many days will 90 workers take?
Correct Answer: C. 100 days
Explanation:
Work = Workers × Days = 75 × 120 = 9000. Days = 9000/90 = 100 days.