Directions for questions 12 and 13: Answer the questions on the basis of the information given below.
Pie Chart I and Pie Chart II show the percentage break-up of the “Total Expenditure” of Vidyapeeth and Christ College respectively in the year 2010. Pie Chart III shows the percentage break-up of the combined expenditure on “Charity” by the two colleges in 2010.
12. If Vidyapeeth’s expenditure on “Charity” was double the combined expenditure of the two colleges on “Children Welfare”, then what was the ratio of the “Total Expenditure” of Vidyapeeth to that of Christ College in 2010?
(a) 8 : 9 (b) 9 : 8 (c) 7 : 8 (d) None of these
13. If Vidyapeeth’s expenditure on “Electricity” was one-fifth that of Christ College, then find the combined expenditure of the two colleges on “NGO” as a percentage of the “Total Expenditure” of Vidyapeeth in 2010.
(a) 10% (b) 14% (c) 12% (d) None of these
Directions for questions 14 and 15: Answer the questions on the basis of the information given below.
In a class of 96 students, each student opts for at least one of the three subjects – Physics, Chemistry and Mathematics. It is also known that:
(i) The number of students who opt for Physics only is equal to the number of students who opt for
Mathematics only and is also equal to twice the number of students who opt for both Mathematics
and Physics but not Chemistry.
(ii) The number of students who opt for exactly two subjects is 25.
(iii) The number of students who opt for Chemistry is 31.
(iv) Among those who opt for Chemistry, 13 students opt for at least two subjects.
14. If the number of students who opt for Mathematics is the maximum among the three subjects, then what is the maximum possible number of students who opt for both Physics and Chemistry but not Mathematics?
(a) 5 (b) 6 (c) 7 (d) Cannot be determined
15. Which additional piece of information is required to find the exact number of students who opt for both Chemistry and Mathematics but not Physics?
(a) The number of students who opt for exactly one of the three subjects is 70.
(b) Only one student opts for all the three subjects.
(c) The number of students who opt for Mathematics is 50.
(d) The number of students who opt for Mathematics only is 26.
SOLUTIONS
Pie Chart I and Pie Chart II show the percentage break-up of the “Total Expenditure” of Vidyapeeth and Christ College respectively in the year 2010. Pie Chart III shows the percentage break-up of the combined expenditure on “Charity” by the two colleges in 2010.
12. If Vidyapeeth’s expenditure on “Charity” was double the combined expenditure of the two colleges on “Children Welfare”, then what was the ratio of the “Total Expenditure” of Vidyapeeth to that of Christ College in 2010?
(a) 8 : 9 (b) 9 : 8 (c) 7 : 8 (d) None of these
13. If Vidyapeeth’s expenditure on “Electricity” was one-fifth that of Christ College, then find the combined expenditure of the two colleges on “NGO” as a percentage of the “Total Expenditure” of Vidyapeeth in 2010.
(a) 10% (b) 14% (c) 12% (d) None of these
Directions for questions 14 and 15: Answer the questions on the basis of the information given below.
In a class of 96 students, each student opts for at least one of the three subjects – Physics, Chemistry and Mathematics. It is also known that:
(i) The number of students who opt for Physics only is equal to the number of students who opt for
Mathematics only and is also equal to twice the number of students who opt for both Mathematics
and Physics but not Chemistry.
(ii) The number of students who opt for exactly two subjects is 25.
(iii) The number of students who opt for Chemistry is 31.
(iv) Among those who opt for Chemistry, 13 students opt for at least two subjects.
14. If the number of students who opt for Mathematics is the maximum among the three subjects, then what is the maximum possible number of students who opt for both Physics and Chemistry but not Mathematics?
(a) 5 (b) 6 (c) 7 (d) Cannot be determined
15. Which additional piece of information is required to find the exact number of students who opt for both Chemistry and Mathematics but not Physics?
(a) The number of students who opt for exactly one of the three subjects is 70.
(b) Only one student opts for all the three subjects.
(c) The number of students who opt for Mathematics is 50.
(d) The number of students who opt for Mathematics only is 26.
SOLUTIONS
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