Ratio, Proportion, Indices, Logarithms & Equations — Practice

Question 1

The duplicate ratio of 4 : 9 is

Accepted Answer

B

Question 2

If a : b = 3 : 4 and b : c = 8 : 9, then a : b : c is

Accepted Answer

B

Question 3

The mean proportional between 9 and 25 is

Accepted Answer

A

Question 4

If (a + b) : (a − b) = 7 : 3, then a : b is

Accepted Answer

A

Question 5

The value of (8)^(−2/3) is

Accepted Answer

B

Question 6

If 3^(x+1) = 27^(x−1), then x equals

Accepted Answer

B

Question 7

The value of log₂ 8 + log₃ 9 is

Accepted Answer

B

Question 8

If log 2 = 0.3010, the number of digits in 2⁵⁰ is

Accepted Answer

B

Question 9

The roots of the equation 2x² − 7x + 3 = 0 are

Accepted Answer

B

Question 10

If α and β are the roots of x² − 5x + 6 = 0, then α² + β² equals

Accepted Answer

A

Question 11

The quadratic equation whose roots are the reciprocals of the roots of 3x² − 5x + 2 = 0 is

Accepted Answer

A

Question 12

The pair of equations 2x + 3y = 7 and 4x + 6y = 15 has

Accepted Answer

B

Question 13

If log₁₀ 2 = 0.3010 and log₁₀ 3 = 0.4771, then log₁₀ 45 equals

Accepted Answer

A

Question 14

A mixture of 60 litres contains milk and water in the ratio 2 : 1. How much water must be added to make the ratio 1 : 2?

Accepted Answer

C

Question 15

If the roots of x² + px + q = 0 are in the ratio 2 : 3, then

Accepted Answer

A

Practice — Ratio, Proportion, Indices, Logarithms & Equations