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A boat can travel 15 km downstream in 30 minutes. If the speed of the stream is 5 km/h, find the speed of the boat in still water.

A20 km/h

B25 km/h

C30 km/h

D35 km/h

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Solve for x: 3^(2x – 1) = 27^(x – 2).

A3

B4

C5

D6

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The difference between simple interest and compound interest on a sum for 2 years at 10% per annum is Rs. 50. Find the sum.

ARs. 4,000

BRs. 5,000

CRs. 6,000

DRs. 7,500

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If a post of height 6 m casts a shadow 2*sqrt(3) m long, what is the angle of elevation of the sun?

A30°

B45°

C60°

D90°

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Find the median of the data set: 12, 7, 19, 25, 15, 8, 21.

A12

B15

C19

D21

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In how many different ways can the letters of the word ‘LEADER’ be arranged?

A180

B360

C720

D1440

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Find the variance of the first 5 natural numbers (1, 2, 3, 4, 5).

A1.5

B2.0

C2.5

D3.0

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A pipe can fill a pool in 8 hours, but due to a leak at the bottom, it takes 10 hours. How long will the leak take to empty a full pool?

A30 hours

B36 hours

C40 hours

D48 hours

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In a class, 60% of students passed in English and 70% passed in Mathematics. If 20% failed in both subjects, what percentage passed in both?

A40%

B50%

C60%

D70%

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What is the total surface area of a cube whose volume is 512 cm³?

A256 cm²

B384 cm²

C512 cm²

D600 cm²

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