1. ANSWER : C
Explanation - Required percentage= % = % = 75%
2. ANSWER : B
Explanation - The percentage of candidates passed to candidates enrolled can be determined for each institute as under:
P = % = 54.55%
Q = % = 75.56%
R = % = 86.67%
S = % = 62.75%
T = % = 75%
V= % = 83.33%
X= % = 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 = % = 80%
5. ANSWER : C
Explanation - Required ratio = = 6/11