Question

Column A:
\(\frac{1}{3}\) of 8
Column B:
66\(\frac{2}{3}\)\(\%\) of 4
This question consists of two quantities, one in column A and other in column B. Compare the both quantities and choose answer option as

• A. if the quantity in Column B is greater
• B. if the quantity in Column A is greater
• C. if the two quantities are equal
• D. if the relationship cannot be determined from the information given

Answer 1

The Correct Option is C

Column A: Calculation of \(\frac{1}{3}\)​ of 8
Finding \(\frac{1}{3}\) of 8: \(\frac{1}{3} \times 8\) \(​≈\)2.67
Column B: Calculation of 66\(\frac{2}{3}\)\(\%\) of 4
Convert \(66\frac{2}{3}\%\) to a fraction:
\(66\frac{2}{3}\% = \frac{200}{3}\%\)
Now Convert percentage to a decimal:
\(\frac{200}{3}\% = \frac{200}{3} \times \frac{1}{100}\) = \(\frac{2}{3}\)
So \(\frac{2}{3}\)​ of 4:
\(\frac{2}{3} \times 4 = \frac{8}{3} \approx 2.67\)
Comparison in between Column A and B.
Column A: \(\frac{8}{3} \approx 2.67\)
Column B: \(\frac{8}{3} \approx 2.67\)
Conclusion:
The quantities in both columns are equal.
So, The correct answer is option C.