Study the given pie-charts and answer the question that follows.

The pie-charts show the data of students' progress after graduation.

Which two combined have the same number of students as the other?

Shortcut Trick Other = 48%

We have two options: PG + Phd OR PG + M.phil

PG + Phd = 39 + 9 = 48%

PG + M.phil = 39 + 4 = 43%

So, Others = PG + Phd = 48%

∴ The correct answer is Option 2).

Given:

Percentage of students in various categories:

M.Phil = 4%

Ph.D. = 9%

PG = 39%

Other = 48%

Other1 = 34%

Entrepreneur = 14%

Calculation:

Let's check each combination:

1. M.Phil + Ph.D = 4% + 9% = 13%

2. M.Phil + PG = 4% + 39% = 43%

3. M.Phil + Other = 4% + 48% = 52%

4. M.Phil + Other1 = 4% + 34% = 38%

5. M.Phil + Entrepreneur = 4% + 14% = 18%

6. Ph.D + PG = 9% + 39% = 48%

7. Ph.D + Other = 9% + 48% = 57%

8. Ph.D + Other1 = 9% + 34% = 43%

9. Ph.D + Entrepreneur = 9% + 14% = 23%

10. PG + Other = 39% + 48% = 87%

11. PG + Other1 = 39% + 34% = 73%

12. PG + Entrepreneur = 39% + 14% = 53%

13. Other + Other1 = 48% + 34% = 82%

14. Other + Entrepreneur = 48% + 14% = 62%

15. Other1 + Entrepreneur = 34% + 14% = 48%

⇒ The two categories that combined have the same number of students as other are:

Ph.D + PG = Other

∴ The correct answers are Ph.D + PG.