Question

The ratio between the number of candidates who qualified in office H to the number of candidates who qualified in office L? 

\[ \begin{array}{|c|c|c|} \hline \text{Offices} & \text{Candidates Appearing} & \% \ \text{Qualifying} \\ \hline \text{H} & 1500 & 14 \\ \text{I} & 2200 & 26 \\ \text{J} & 3000 & 17 \\ \text{K} & 980 & 20 \\ \text{L} & 1200 & 28 \\ \text{M} & 2500 & 21 \\ \hline \end{array} \]

• A. 2:5
• B. 5:6
• C. 3:7
• D. 5:8
• A. 1500
• B. 1700
• C. 1800
• D. 1900

Answer 1

The Correct Option is D

Step 1: Qualified in Office H \[ = \frac{14}{100} \times 1500 = 210 \] Step 2: Qualified in Office L \[ = \frac{28}{100} \times 1200 = 336 \] Step 3: Ratio \[ \frac{210}{336} = \frac{5}{8} \Rightarrow \boxed{5:8} \]

Answer 2

Step 1: Total candidates \[ \text{H} = 1500,\quad \text{J} = 3000,\quad \text{L} = 1200 \Rightarrow \text{Total} = 1500 + 3000 + 1200 = 5700 \] Step 2: Average \[ \text{Average} = \frac{5700}{3} = \boxed{1900} \]