DIRECTIONS for questions 1-5: Refer to the pie chart given below and answer the questions that follow.
The given pie chart shows the marks scored by a student in different subjects- English, Hindi, Mathematics, Science and Social Science in an examination. The values given are in degrees. Assumption: Total marks obtained in the examination are 900.
1. If the total marks were 3000, then marks in Mathematics would be
1. 800
2. 750
3. 850
4. 900
Answer Option: 2
Marks obtained in Mathematics would be = 90 / 360 x 3000 = 750
2. The Marks scored in English and Mathematics is less than the marks scored in Science and Hindi by
1. 5%
2. 4.33%
3. 3.33%
4. 6%
Answer Option: 3
Marks scored in English and Mathematics = (55 + 90 ) / 360 x 900 = 362.5 Marks scored in Hindi and Science = (70 + 80) / 360 x 900 = 375 Percent decrease = 12.5 / 375 x 100 = 3.33
3. If the marks scored by the student are 137.5, then the subject is
1. English
2. Hindi
3. Mathematics
4. Science
Answer Option: 1
Going by the options, marks scored in English = 55 /360 x 900 = 137.5
4. Total marks scored in Social Science and English is
1. 400
2. 350
3. 500
4. 300
Answer Option: 4
Angle of English sector is 550 and angle of Social Science sector is 650.So sum of angles is 1200.Sum of marks =( 1200 x 900) / 360 = 300.
5. The difference of marks scored in Social Science and Science is
1. 37.5
2. 40
3. 20
4. 15
Answer Option: 1
Angle of Science sector is 800and angle of Social Science sector is 650. So difference of angle is 150 .Difference of marks = (150 x 900 ) / 3600 = 37.5
DIRECTIONS for questions 6 to 10: The following pie-diagram shows the expenditure incurred in the preparation of a book by a publisher, under various heads.
6. What is the difference between the angle of pie- diagram showing the expenditure incurred on binding and printing?
1. 24 deg
2. 48 deg
3. 18 deg
4. 15 deg
Answer Option: 3
Binding sector is 30% and Printing sector is 25%. So difference is 5%. Difference of angle = 5 x 360 / 1000 = 180
7. If the marked price of the book is Rs. 50,what is the cost of printing to publish a single copy of the book ,if the marked price of a book is 25% more than its cost price?
1. Rs.6
2. Rs.10
3. Rs.4.50
4. Rs.6.50
Answer Option: 2
The marked price = Rs.50/-. The cost price = 50 / 1.25 = 40
Cost of printing = 25% of 40 = 0.25×40= Rs 10.
8. By what percentage, expenditure on binding should be reduced so that its expenditure will be equal to paper expenditure?
9. If the sum of two expenditures is represented by 144 degrees in the diagram (if the diagram is made in terms of degrees), these expenditures are
1. Printing & Paper
2. Paper & Binding
3. Printing & Misc
4. Binding & Misc
Answer Option: 4
For printing and Paper = (25%+20%)=45%=1620
For paper and binding = (30%+20%)=50%=1800
For printing and misc = (25%+10%)=35%=1260.
For binding and misc = (30%+10%)=40%=1440.
10. Binding is more than printing charges by
1. 25%
2. 27 2/3%
3. 23.5%
4. 20%
Answer Option: 4
Binding is 30% of the total cost and printing is 25% of the total cost.
So, the required percentage = 30 - 25 / 25 x 100 = 5 / 25 x 100 = 20%
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