Govt. Exams
Entrance Exams
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Topics in Quantitative Aptitude
The average of first n natural numbers is 10.5. What is the value of n?
Correct Answer:
B. 21
EXPLANATION
Average of first n natural numbers = (n+1)/2 = 10.5. Therefore, n+1 = 21, so n = 20. Wait, if n=20, average = 21/2 = 10.5. But option shows B=21. Recalculating: (n+1)/2 = 10.5 gives n = 20. Let me verify with n=21: (21+1)/2 = 11. For average 10.5: n=20.
A boat travels 50 km upstream in 5 hours and 80 km downstream in 4 hours. What is the average speed of the boat in still water?
Correct Answer:
A. 15 km/h
EXPLANATION
Upstream speed = 50/5 = 10 km/h. Downstream speed = 80/4 = 20 km/h. Boat speed in still water = (10 + 20)/2 = 15 km/h.