**Directions: ( 1 – 5):** The following pie-charts show the distribution of students of graduate and post-graduate levels in seven different institutes in a town.

**Distribution of students at graduate and post-graduate levels in seven institutes**

**Q1.** What is the total number of graduate and post-graduate level students is institute R?

A. 8320

B. 7916

C. 9116

D. 8099

E. None of these

**Q2.** What is the ratio between the number of students studying at post-graduate and graduate levels respectively from institute S?

A. 14:19

B. 19:21

C. 17:21

D. 19:14

E. None of these

**Q3.** How many students of institutes of M and S are studying at graduate level?

A. 7516

B. 8463

C. 9127

D. 9404

E. None of these

**Q4.** What is the ratio between the number of students studying at post-graduate level from institutes S and the number of students studying at graduate level from institute Q?

A. 13:19

B. 21:13

C. 13:8

D. 19:13

E. None of these

**Q5.** Total number of students studying at post-graduate level from institutes N and P is

A. 5601

B. 5944

C. 6669

D. 8372

E. None of these

Answer & Explanation

**1. Answer** (**D**)

Required number = (17% of 27300) + (14% of 24700)

= 4641 + 3458

= 8099

**2. Answer**: (**D**)

Required ratio =(21% of 24700)/ (14% of 27300)

=(21 x 24700)/(14 x 27300) = 19/14

**3. Answer**: (**B**)

Students of institute M at graduate level= 17% of 27300 = 4641.

Students of institute S at graduate level = 14% of 27300 = 3822.

Total number of students at graduate in institutes M and S = (4641 + 3822)

= 8463.

**4. Answer**: (**D**)

Required ratio = (21% of 24700)/ (13% of 27300)

= 19/13

**5. Answer**: (**C**)

Required number = (15% of 24700) + (12% of 24700)

= 3705 + 2964

= 6669.