**1. ANSWER : C**

**Explanation - **Required percentage=$\frac{9\%of5700}{8\%of8550}\times 100$ % = $\frac{9\times 5700}{8\times 8550}\times 100$ % = 75%

**2. ANSWER : B**

**Explanation - **The percentage of candidates passed to candidates enrolled can be determined for each institute as under:

P = $\frac{18\%of5700}{22\%of8550}\times 100$ % = 54.55%

Q = $\frac{17\%of5700}{15\%of8550}\times 100$ % = 75.56%

R = $\frac{13\%of5700}{10\%of8550}\times 100$ % = 86.67%

S =$\frac{16\%of5700}{17\%of8550}\times 100$ % = 62.75%

T = $\frac{9\%of5700}{8\%of8550}\times 100$% = 75%

V= $\frac{15\%of5700}{12\%of8550}\times 100$% = 83.33%

X= $\frac{12\%of5700}{16\%of8550}\times 100$% = 50%

Highest of these is 86.67% corresponding to institute R.

**3. ANSWER : C**

**Explanation - **Required difference = [(16% + 18%) of 5700] - [(8% + 10%) of 8550]

= [(34% of 5700) - (18% of 8550)]

= (1938 - 1539)

= 399

**4. ANSWER : B**

**Explanation - **Candidates passed from institutes Q and R together = [(13% + 17%) of 5700] = 30% of 57000.

Candidates enrolled from institutes Q and R together = [(15% + 10%) of 8550] = 25% of 8550.

Required Percentage = $\frac{30\%of5700}{25\%of8550}\times 100$ % = 80%

**5. ANSWER : C**

**Explanation - **Required ratio = $\frac{18\%of5700}{22\%of8550}$ = 6/11