__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

→ Appeared = (18/100) * 5484 = 987

→ Cleared = (60/360)* 847=141

→ Difference = (987-141) = 846

→ Appeared = (14/100) * 5484 = 768

→ Cleared = (42/360)* 847=99

→ Difference = (768-99) = 669

→ Appeared = (11/100) * 5484 = 603

→ Cleared = (31/360)* 847= 73

→ Difference = (603-73) = 530 (ans)

→ Appeared = (23/100) * 5484 = 1261

→ Cleared = (72/360)* 847= 169

→ Difference = (1261-169) = 1092

→ Appeared = (7/100) * 5484 = 384

→ Cleared = (67/360)* 847= 158

→ Difference = (384-158) =226

→ % of students not cleared = (4637/5484) *100 = 84.55 % (ans)

→ 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)

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