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A man can row 9 km/h in still water. It takes him twice as long to row upstream as to row downstream. Find the speed of the stream.
A2 km/h
B3 km/h
C4.5 km/h
D5 km/h
Find the area of a sector of a circle of radius 6 cm with a central angle of 60°. (Use pi = 22/7)
A18.86 cm²
B21.42 cm²
C24.50 cm²
D36.00 cm²
A person travels from city A to city B at 40 km/h and returns at 60 km/h. What is his average speed for the whole journey?
A48 km/h
B50 km/h
C52 km/h
D54 km/h
If cos(theta) = 3/5, what is the value of (1 + tan^2(theta))?
A16/9
B25/9
C25/16
D9/16
A trader marks his goods 25% above cost price and allows a discount of 10%. What is his profit percentage?
A10%
B12.5%
C15%
D17.5%
If x:y = 3:2 and y:z = 5:4, what is the value of x:z?
A15:8
B8:15
C5:3
D3:5