Double Diagram Data Interpretation Set: Part 3

Directions: Following Pie charts represent the number of students, who have appeared and cleared phase I of Civil Service Exam from various departments of an Arts and Science College. 

1. Approximately what is the difference between the number of students cleared phase I from Maths department and number of students appeared from English department?
A.1350
B. 1240
C. 1340
D. 1250
E. None of these

2. The total number of students clearing phase I from commerce and other department is what percentage of the number of students clearing phase I from physics department?
A.340 %
B. 310 %
C. 320 %
D. 330 %
E. None of these

3. What has the ratio between numbers of students appeared from Maths and physics departments to the number of students appeared from chemistry and commerce departments?
A.16:15
B. 15:17
C. 16:17
D. 15:16
E. None of these 

4. From which department is the difference between the number of students cleared and the number of students appeared is the second minimum?
A. Chemistry
B. Physics
C. Commerce
D. Maths
E. None of these 

5. What is the percentage of students, who did not clear the phase I of the exam?
A. 84.45%
B. 84.55%
C.83.55%
D.83.45%
E. None of these 

Answers & Solutions

1. Option C

→ No. of students cleared from Maths department = (60/360) * 847 = 141
→ No. of students appeared from English department = (27/ 100)* 5484  ≈ 1481
→ Difference = 1481-141  = 1340 (ans)

2. Option D

→ No. of students cleared from commerce & other dept. = [(72+67) /360]*847  = (139/360)* 847 = 327
→ No. of students cleared physics department = (42/360)* 847  = 99
→ X= (327/99)* 100
→ X= 330 % (ans)

3. Option C

→ Ratio = (Maths +Physics): (Chemistry + Commerce)  = (18+14): (11+23)  = 32: 34  = 16:17 (ans)

4. Option A

English Department:
→ Appeared = (27/100) * 5484 = 1481 

→ Cleared = (88/360)* 847=207
→ Difference = (1485-207) = 1274

Maths Department:
→ Appeared = (18/100) * 5484 = 987
→ Cleared = (60/360)* 847=141
→ Difference = (987-141) = 846

Physics Department:
→ Appeared = (14/100) * 5484 = 768
→ Cleared = (42/360)* 847=99
→ Difference = (768-99) = 669

Chemistry Department:
→ Appeared = (11/100) * 5484 = 603
→ Cleared = (31/360)* 847= 73
→ Difference = (603-73) = 530 (ans)

Commerce Department:
→ Appeared = (23/100) * 5484 = 1261
→ Cleared = (72/360)* 847= 169
→ Difference = (1261-169) = 1092

Other Departments:
→ Appeared = (7/100) * 5484 = 384
→ Cleared = (67/360)* 847= 158
→ Difference = (384-158) =226

5. Option B

→ No. of students not cleared= (5484 -847)  = 4637
→ % of students not cleared = (4637/5484) *100  = 84.55 % (ans)