CAT 2019 - Slot 2 - Logical Reasoning and Data Interpretation - Students in a college are discussing two proposals

1. 64

2. 84

3. Option 4

4. Option 1

As per question it is clear that a student can not prefer both Ragini and Sunita simultaneously. So on the basis of information given , table can be formed as given below:

Now from point 2 it is clear that 200 students preferred Sunita so no of students who preferred Ragini = 500 – 200 = 300

No of students who preferred Sunita and supported proposal A = 80% of 200 = 160

From point 3) , no of students who preferred Ragini and supported proposal A = 30% of 300 = 90

From point 4) No of students who preferred Sunita and supported proposal B = 20% of 250 = 50

From point 6) No of students who preferred Sunita and supported proposal A and B both = 50

From point 7) no of students who preferred Ragini and didn’t supported any proposal = 20% of 300 = 60

Now the complete table can be formed as given below:

No of surveyed who supported proposal A, percentage of students who Preferred Sunita for student union president = 160/250 *100 = 64%

No of the students surveyed who did not support proposal A Preferred Ragini as student union president = 300 – 90 = 210

Required percentage = 210/250*100 = 84%

No of students who supported both proposals = 100

No of the students surveyed who supported both proposals A and B and Preferred Sunita as student union president = 50

Thus required % tage = 50/100 *100 = 50 %

No of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president = no of students who supported proposal B and preferred Ragini – no of students who supported proposal A and B and preferred Ragini = 200 – 50 = 150

Now all the question can be answered.