If 6log_x2 - 3log_x3 = 3log₅0.2, find x

• A. 8/3
• B. 4/3
• C. 3/4
• D. 3/8

FindP, if 451₆ -P₇ = 305₆

• A. 62₇
• B. 116₇
• C. 611₇
• D. 142₇

The shadow of a pole 5√3m high is 5m. Find the angle of elevation of the sun.

• A. 45°
• B. 75°
• C. 30°
• D. 60°

P, R and S lie on a circle center as shown above while Q lies outside the circle. Find ∠PSO

• A. 45°
• B. 55°
• C. 35°
• D. 40°

Given that³âˆš4^2x = 16, find the value of x

• A. 4
• B. 6
• C. 3
• D. 2

Find the value of α² + β² if α + β = 2 and the distance between points (1, α) and (β, 1)is 3 units

• A. 14
• B. 3
• C. 5
• D. 11

Simplify \(\frac{1}{\sqrt{3}+2}\) in the form \(a+b\sqrt{3}\)

• A. 2 -√3
• B. -2 - √3
• C. 2 + √3
• D. -2 + √3

The nth term of two sequences are Q_n = 3 . 2^{n - 2} and U_m = 3 . 2^{2m - 3}. Find the product of Q₂ and U₂

• A. 18
• B. 12
• C. 6
• D. 3

find the mean deviation of 1, 2, 3 and 4

• A. 2.5
• B. 2.0
• C. 1.0
• D. 1.5

Evaluate \(\frac{\frac{1}{10}\times\frac{2}{3}+\frac{1}{4}}{\frac{\frac{1}{2}}{\frac{3}{5}}-\frac{1}{4}}\)

• A. \(\frac{7}{12}\)
• B. \(\frac{19}{35}\)
• C. \(\frac{2}{25}\)
• D. \(\frac{19}{60}\)