Double Pie MCQ Quiz - Objective Question with Answer for Double Pie - Download Free PDF

Calculation:

Pie-chart I shows the distribution of students who appeared in Board examination from schools A, B, C, D and E.

Total number of Students appeared = 1800

School A appeared = 17% of 1800 = 0.17 × 1800 = 306

School B appeared = 18% of 1800 = 0.18 × 1800 = 324

School C appeared = 20% of 1800 = 0.20 × 1800 = 360

School D appeared = 21% of 1800 = 0.21 × 1800 = 378

School E appeared = 24% of 1800 = 0.24 × 1800 = 432

Pie-chart II shows the distribution of students who passed the examination from these schools.

Total number of Students passed = 1500

School A passed = 15% of 1500 = 0.15 × 1500 = 225

School B passed = 18% of 1500 = 0.18 × 1500 = 270

School C passed = 21% of 1500 = 0.21 × 1500 = 315

School D passed = 24% of 1500 = 0.24 × 1500 = 360

School E passed = 22% of 1500 = 0.22 × 1500 = 330

Number of failed students = Number of appeared students - Number of passed students

Students who failed from School B = Students appeared from B - Students passed from B

⇒ Failed from B = 324 - 270 = 54

Students who failed from School D = Students appeared from D - Students passed from D

⇒ Failed from D = 378 - 360 = 18

Total students who failed from schools B and D = Failed from B + Failed from D = 54 + 18 = 72

Total students who passed from schools A and C = Passed from A + Passed from C = 225 + 315 = 540

Required percentage = \(\frac{\text{Total failed from B and D}}{\text{Total passed from A and C}}× 100\)

⇒ Percentage = (72/540) × 100

⇒ Percentage = 720/54

⇒ Percentage = 40/3

⇒ Percentage = \(13\frac{1}{3}\)%

∴ The correct answer is option 3.

Number of students in commerce department is 70 more than the number of students in 2017.

So, 30%  - 20% = 70

Or, 10% = 70

Or, 100% = 700

So, total number of students in commerce department is 700.

Number of students in commerce department in 2017  is  700 × 20/100 = 140

Number of students in science department in 2017 is 140 – 40 = 100

So, number of student in 2017 in two department together is 140 + 100 = 240.

Total value of pie chart is 100%

So, 12% + x% + 30% + 25% + [x-3]% = 100

Or, 2x = 100 – 12 – 30 -25 +3 = 36

Or, x = 36 /2 = 18

So, Percentage of students in science and commerce department together in 2017 is 18 – 3 = 15%

So, 15% = 240

Or, 100% = [ 240/15] ×100 =1600

Year	Number of students in science and commerce department	Number of students in commerce department	Number of students in science department
2013	1600 × 12/100 = 192	700 ×18/100 = 126	192 – 126 = 66
2014	288	84	204
2015	480	140	340
2016	400	210	190
2017	240	140	100

 

Calculation

Total number of students in science department in five year is 1600 – 700 = 900

So, average is 900 / 5 = 180

So, Number of students in science department in 2018  is 180 + 25 = 205

Number of students in commerce department is 70 more than the number of students in 2017.

So, 30%  - 20% = 70

Or, 10% = 70

Or, 100% = 700

So, total number of students in commerce department is 700.

Number of students in commerce department in 2017  is  700 × 20/100 = 140

Number of students in science department in 2017 is 140 – 40 = 100

So, number of student in 2017 in two department together is 140 + 100 = 240.

Total value of pie chart is 100%

So, 12% + x% + 30% + 25% + [x-3]% = 100

Or, 2x = 100 – 12 – 30 -25 +3 = 36

Or, x = 36 /2 = 18

So, Percentage of students in science and commerce department together in 2017 is 18 – 3 = 15%

So, 15% = 240

Or, 100% = [ 240/15] ×100 =1600

Year	Number of students in science and commerce department	Number of students in commerce department	Number of students in science department
2013	1600 × 12/100 = 192	700 ×18/100 = 126	192 – 126 = 66
2014	288	84	204
2015	480	140	340
2016	400	210	190
2017	240	140	100

 

Calculation

Total number of students in science department in 2014 and 2015 is 204 + 340 = 544

Total number of students in commerce department in 2014 and 2015 is

84 + 140 = 224

So, required difference 544 – 224 = 320

Number of students in commerce department is 70 more than the number of students in 2017.

So, 30%  - 20% = 70

Or, 10% = 70

Or, 100% = 700

So, total number of students in commerce department is 700.

Number of students in commerce department in 2017  is  700 × 20/100 = 140

Number of students in science department in 2017 is 140 – 40 = 100

So, number of student in 2017 in two department together is 140 + 100 = 240.

Total value of pie chart is 100%

So, 12% + x% + 30% + 25% + [x-3]% = 100

Or, 2x = 100 – 12 – 30 -25 +3 = 36

Or, x = 36 /2 = 18

So, Percentage of students in science and commerce department together in 2017 is 18 – 3 = 15%

So, 15% = 240

Or, 100% = [ 240/15] ×100 =1600

Year	Number of students in science and commerce department	Number of students in commerce department	Number of students in science department
2013	1600 × 12/100 = 192	700 ×18/100 = 126	192 – 126 = 66
2014	288	84	204
2015	480	140	340
2016	400	210	190
2017	240	140	100

 

Calculation

Number of students in science department is 190

Number of students in commerce department is 210.

So, required ratio = 190 : 210 = 19:21 = m : n

So, m = 19, n = 21

So, 3m + 4n =3×19 + 4 ×21 = 141

Number of students in commerce department is 70 more than the number of students in 2017.

So, 30%  - 20% = 70

Or, 10% = 70

Or, 100% = 700

So, total number of students in commerce department is 700.

Number of students in commerce department in 2017  is  700 × 20/100 = 140

Number of students in science department in 2017 is 140 – 40 = 100

So, number of student in 2017 in two department together is 140 + 100 = 240.

Total value of pie chart is 100%

So, 12% + x% + 30% + 25% + [x-3]% = 100

Or, 2x = 100 – 12 – 30 -25 +3 = 36

Or, x = 36 /2 = 18

So, Percentage of students in science and commerce department together in 2017 is 18 – 3 = 15%

So, 15% = 240

Or, 100% = [ 240/15] ×100 =1600

Year	Number of students in science and commerce department	Number of students in commerce department	Number of students in science department
2013	1600 × 12/100 = 192	700 ×18/100 = 126	192 – 126 = 66
2014	288	84	204
2015	480	140	340
2016	400	210	190
2017	240	140	100

 

Calculation

Number of students in arts department in 2014 is 5x + 20 = 5 ×18 + 20 = 110

So, required difference is 204 – 110 = 94

Calculation:

Total fund got by school = 100% = 1000000

Funds got through donation = 35%

Scholarship paid = 26% 

Required percentage = 26/35 × 100

⇒ 2600/35 = 74.285% ≈ 74.29%

∴ The correct answer is 74.29%.

Calculation:

Number of employees in production = 5100 × 20%

⇒ 1020

Number of male employees in production = 2050 × 48%

⇒ 984

So, female production = 1020 - 984

⇒ 36

∴ The required answer is 36.

Calculation

360° → 100%

1° → 100/360 = 5/18

The students who appeared for the exam in section = 58°

⇒ 58° → 58 × 5/18

= 16.1%

The answer is 16.1%

Calculation:

Total start-up started = 720 + 256 + 650 + 324 + 560

⇒ 2510

Start-up in the travel sector = 324

Required % = (324/2510) × 100

⇒ 12.90.8 ≈ 12.91%

∴ The required answer is 12.91%.

Calculation:

Total number of appeared students = 1800 student

⇒ 360° = 1800

⇒ 1° = 1800/360 = 5 students

Appeared students of section A = 42° = 42 × 5 = 210 students

Appeared students of section B = 50° = 50 × 5 = 250 students

Required difference = (250 - 210) = 40 students

∴ The correct answer is 40 students.

Given:

The total fund received by school from different sources = 10 lakh

The school received fund from internal source = 15%

Concept:

\(X\%={X\over100}\)

Calculation:

Let the fund received by internal source is X

⇒ X = 15% of 10 lakh

⇒ X = \({15\over100}\times{1000000}=150000\)

∴ The required result will be 150000.

Given:- 

Funds from Donations = 35% of Rs. 10,00,000 (10 lacks)

Funds from Government Agencies = 12% of Rs. 10,00,000 (10 lakh) 

Calculations:-

Funds from Donations = (35/100) × 10,00,000 = Rs. 3,50,000

Funds from Government Agencies = (12/100) × 10,00,000 = Rs. 1,20,000 

Difference = Funds from Donations - Funds from Government Agencies Difference

⇒ Rs. 3,50,000 - Rs. 1,20,000 = Rs. 2,30,000 

∴  The difference is Rs. 2,30,000.  

Calculation

The total amount used by the school for the payment = 11% of 1000000

⇒ 11/100 * 1000000

⇒ 110000

The total amount used by the school for the payment is 110000.

Calculation:

Pie-chart I shows the distribution of students who appeared in Board examination from schools A, B, C, D and E.

Total number of Students appeared = 1800

School A appeared = 17% of 1800 = 0.17 × 1800 = 306

School B appeared = 18% of 1800 = 0.18 × 1800 = 324

School C appeared = 20% of 1800 = 0.20 × 1800 = 360

School D appeared = 21% of 1800 = 0.21 × 1800 = 378

School E appeared = 24% of 1800 = 0.24 × 1800 = 432

Pie-chart II shows the distribution of students who passed the examination from these schools.

Total number of Students passed = 1500

School A passed = 15% of 1500 = 0.15 × 1500 = 225

School B passed = 18% of 1500 = 0.18 × 1500 = 270

School C passed = 21% of 1500 = 0.21 × 1500 = 315

School D passed = 24% of 1500 = 0.24 × 1500 = 360

School E passed = 22% of 1500 = 0.22 × 1500 = 330

Number of failed students = Number of appeared students - Number of passed students

Students who failed from School B = Students appeared from B - Students passed from B

⇒ Failed from B = 324 - 270 = 54

Students who failed from School D = Students appeared from D - Students passed from D

⇒ Failed from D = 378 - 360 = 18

Total students who failed from schools B and D = Failed from B + Failed from D = 54 + 18 = 72

Total students who passed from schools A and C = Passed from A + Passed from C = 225 + 315 = 540

Required percentage = \(\frac{\text{Total failed from B and D}}{\text{Total passed from A and C}}× 100\)

⇒ Percentage = (72/540) × 100

⇒ Percentage = 720/54

⇒ Percentage = 40/3

⇒ Percentage = \(13\frac{1}{3}\)%

∴ The correct answer is option 3.

Calculation:

Total fund got by school = 100% = 1000000

Funds got through donation = 35%

Scholarship paid = 26% 

Required percentage = 26/35 × 100

⇒ 2600/35 = 74.285% ≈ 74.29%

∴ The correct answer is 74.29%.