Differentiate sin x - x cos x

• A. x cos x
• B. x sin x
• C. -x cos x
• D. -x sin x

In how many ways can the letters of the word ACCEPTANCE be arranged?

• A. 10! / (2!2!3!)
• B. 10! / ( 2!3!)
• C. 10! / (2!2!)
• D. 10!

Find the minimum value of the function y = x(1+x)

• A. -1/4
• B. -1/2
• C. 1/4
• D. 1/2

Find the median of 4, 1, 4, 1, 0, 4, 4, 2 and 0

• A. zero
• B. 1
• C. 2
• D. 4

The cost of kerosine per liter increase from N60 to N85. What is the percentage rate of increase?

• A. 42%
• B. 41%
• C. 40%
• D. 25%

Evaluate \(\int_1 ^2(6x^2-2x)dx\)

• A. 16
• B. 13
• C. 12
• D. 11

If 125_x = 20₁₀ find x

• A. 2
• B. 3
• C. 4
• D. 5

On a pie chart there are six sectors of which four angles are 30°, 45°, 60°, 90° and the remaining two angles are in the ratio 2:1. Find the smallest angles of the remaining two angles.

• A. 15°
• B. 30°
• C. 45°
• D. 60°

Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters [Ï€ = 22/7]

• A. 44,000 liters
• B. 4,400 liters
• C. 440 liters
• D. 44 liters

A student sitting on a tower 68 metres high observes his principal's car at the angle of depression of 20o. How far is the car from the bottom of the tower to the nearest metre?

• A. 184m
• B. 185m
• C. 186m
• D. 187m