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CAT DILR MOCKTEST 1

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SOLUTION

PROBLEM 2

DIRECTIONS FOR Q.5 Q.8 In the following questions, the pie-chart shows the number of students admitted in different faculties of a college. Study the chart and answer the questions Education La Commerce Science rts 30 45 120 100 All data are in degrees

ANSWER THE FOLLOWING Q5. How many students are more in commerce than in law if 1000 students are in science? (Non- MCQ) Q6. lf 1000 students are admitted in science,what is the ratio of students in science and arts? (a) 6:5 (b) 7:5 (c) 7:6 (d) 5:6 Q7. If 1000 students are admitted in science,what is the total number of students? (Non- MCQ) all faculties except science and law? Q8. Find the percentage of students in (approximately) a) 60% b)55% c)50% d) 75%

Q5. How many students are more in commerce than in law if 1000 students are in science? (Non- MCQ) Solution: The number of students in science is 1000 an the central angle of science is 100 Hence, the total number of students Education Law Commerce Science -Arts 30 45 [(1000/ 100 ) 3601- 3600 120 The difference in the central angles of commerce and law is 65 -45 20 respectively Hence,the required difference 100 [(3600/360)* 20] 200 All data are in degrees Answer: 200

Q6. If 1000 (a) 6:5 the ratio of students in science and arts? (c) 7:6 students are admitted in science, what is (b) 7:5 (d) 5:6 Solution: Education Law 11 Commerce Science Arts As the question is about the ratio of the students, so we do not need to find the actual number of students 30 45 120 The central angles of science and arts are 100 degree and 120 degree. Hence, the required ratio is 100 : I 20 = 5 : 6 100 Answer: Option (d). All data are in degrees

Q7. If 1000 students are admitted in science, what is the total number of students (Non- MCQ) Solution: Education Law Commerce Science Arts The number of students in science is 1000 and the central angles of science is 100 degree. 30 45 120 Hence,the total number of students - 1000/100 360 3600 100 Answer: 3600 All data are in degrees

8. Find the percentage of students in all faculties except science and law? (approximately) a) 60% b)55% c)50% d) 75% Solution Education Law Commerce Science Arts The central angle of all the faculties except science and law is - [360 - (100 45 )] 30 45 215 120 We know that, 360 corresponds to 1 00% Therefore, 215 will correspond to [C 00/ 360 ) * 2 I 50]-59.7 % 60% (approximately) 100 All data are in degrees Answer: Option (a)