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

Answer: (C)

if the two quantities are equal

Answer 2

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.