Following two pie charts pertain to a prominent university in the north-eastern part of US.

Pie chart 1 shows the percent break-up of the students in the university according to their home country.

Pie chart 2 shows the percent break-up of the students enrolled in five different colleges in the university. The number indicated in the pie chart is the central angle subtended by the sectors.

Pie Chart 1

Pie Chart 2

Further it is known that 80% students in the university are undergraduate students, 15% are graduate students, 4% are PhD students and remaining are post-doctoral students and no college has more than 40% students enrolled in that college from a single country.

1

Type : Subjective

Question Statement :

Students from at least how many countries do definitely study in more than one college?

Type in your answer as an integer. For example, if your answer is 22, type in 22

2

Type : MCQ

Question Statement :

Which of the following statements cannot be correct?

3

Type : Subjective

Question Statement :

If Arts and Science College was divided into two separate colleges of Arts and Science such that each of these two colleges had equal number of students and each college observes the requirement of not having more than 40% students from the same country, then students from US are in at least how many of the six colleges?

Type in your answer as an integer. For example, if your answer is 22.526, type in 22

4

Type : Subjective

Question Statement :

i. There are 10,000 students in the University.
ii. Percentage of undergraduate, graduate, PhD and Post-doctoral students is same across all the colleges.
iii. Maximum possible students from US are enrolled in the College of Arts and Science.

In the above scenario, what is the ratio of maximum possible number of undergraduate students from US in the College of Arts and Science to the minimum possible number of undergraduate students from US in the College of Arts and Science?

Type in your answer as a decimal number rounded off to two decimal places. For example, if your answer is 2:3, type in 0.67

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