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The mean of 100 observations was calculated as 40. It was later found that an observation 53 was misread as 83. Find the correct mean.
A39.3
B39.7
C40.3
D40.7
Find the area of a circle inscribed in a square of side 14 cm. (Use pi = 22/7)
A144 cm²
B154 cm²
C196 cm²
D616 cm²
A motorboat whose speed in still water is 15 km/h goes 30 km downstream and returns in a total time of 4.5 hours. What is the speed of the stream?
A3 km/h
B5 km/h
C6 km/h
D8 km/h
What is the area of a right-angled isosceles triangle with hypotenuse 10 cm?
A25 cm²
B50 cm²
C75 cm²
D100 cm²
The mean of 5 observations is 12. If a new observation of value 18 is added, what is the new mean?
A13
B14
C15
D16
Find the perimeter of a sector of a circle with radius 14 cm and central angle 90°. (Use pi = 22/7)
A22 cm
B36 cm
C50 cm
D64 cm
If x + y = 12 and xy = 35, find the value of x^3 + y^3.
A468
B472
C480
D504