Find the number whose logarithm to base 10 is 2.6025

A. 0.0004

B. 4.004

C. 40.04

D. 400.4

E. 4004

A piece of cloth was measured as 6.10m. If the actual length of the cloth is 6.35, find the percentage error, correct to 2 decimal places

A. 3.05%

B. 3.95%

C. 15.00%

D. 25.00%

E. 39.30%

Simplify \(\frac{8^{\frac{2}{3}}*27^{\frac{-1}{3}}}{64^{\frac{1}{3}}}\)

A. -3

B. \(\frac{1}{9}\)

C. \(\frac{1}{3}\)

D. \(\frac{27}{8}\)

E. 4

Solve the equation 5x² - 4x - 1 = 0

A. -1, 1/5

B. -1, -1/5

C. 1, 1/5

D. 1, -1/5

E. -1, 5

P and q are two positive numbers such that p > 2q. Which one of the following statements is not true?

A. -p < -2q

B. -p > -2q

C. -q < 2p

D. q < 1/2p

E. p² > 2q²

A. 3, 1

B. -1, -3

C. -1, 3

D. 3, -2

E. 1, -3

Make S the subject of the formula: \(V = \frac{K}{\sqrt{T-S}}\)

A. \(T-\frac{K^2}{V^2} = S\)

B. \(T+\frac{K^2}{V^2} = S\)

C. \(T-\frac{K^2}{V} = S\)

D. \(T-\frac{K}{V} = S\)

E. \(T-\frac{K}{V^2} = S\)

Find the equation whose roots are \(\frac{2}{3}and \frac{-1}{4}\)

A. \(12x^2+11x+2=0\)

B. \(12x^2-11x+2=0\)

C. \(x^2-\frac{11}{12}x+2=0\)

D. \(x^2+\frac{11}{12}x-2=0\)

E. \(12x^2+11x+2=0\)

Find (X-Y) if 4x - 3y = 7 and 3x - 2y = 5

A. 4

B. 3

C. 2

D. -2

E. -3

Solve the inequality \((Y-3)<\frac{y}{3}\)

A. y > -9

B. y < 3

C. y > 4

D. y < 9

E. y > 0