CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms
Which of the following ratios is the greatest?
The ratio 7 : 9 is the greatest. Expressed as fractions, 7/9 is about 0.778, which exceeds 3/4 (0.750), 5/7 (about 0.714) and 2/3 (about 0.667). Cross-multiplication confirms that 7/9 is larger than each of the other fractions.
- A3 : 4
- B5 : 7
- C7 : 9Correct
- D2 : 3
Explanation
Convert to decimals: 3/4 = 0.750, 5/7 ≈ 0.714, 7/9 ≈ 0.778, 2/3 ≈ 0.667. The largest is 7/9. A common error is to pick 3:4 because it looks simplest, but 7/9 exceeds it (cross-multiplying: 7×4 = 28 > 3×9 = 27).
Did you get it right without looking?
One question tells you little. A timed set on Ratio and Proportion, Indices and Logarithms shows your real accuracy, how long you take and where you lose marks.
More Ratio and Proportion, Indices and Logarithms questions
- A mixture of 60 litres contains milk and water in the ratio 7 : 3. How many litres of water must be added so that the ratio of milk to water…
- The third proportional to 8 and 12 is:
- If log₃ 5 = a, then log₉ 25 expressed in terms of a is:
- If log₃ (x − 2) + log₃ (x + 6) = 2, then the value of x is:
- The value of (2^(n+3) − 2^(n+1)) ÷ (2^(n+2) − 2^n) is:
- The ratio of the ages of Anil and Bhavna is 4 : 5. Six years from now, the ratio of their ages will be 5 : 6. What is Bhavna's present age?