In class A the number of boys is more than the number of girls by 16% of the total strength of class A. In class B the number of girls is more than the number of boys by 12% of the total strength of class B. If the ratio of students in class A to class B is 1 : 2, then what will be the ratio of boys to girls if both the classes are combined together?

Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. Total number of pupils in three classes of a school is 1288. The ratio of children in three classes X, Y, Z is 39 : 64 : 58. In class X number of boys are 26 less than number of girls. Number of boys in class Y is 67.83% more than the number of boys in class X. And, girls in class Z are 25.36% less than the number of girls in class Y. (In calculating number of boys and girls, the decimal value must be rounded off to nearest whole number). Quantity A: Number of boys in class Z. Quantity B: Number of girls in class X. Quantity C: Number of girls in class Y.

A

C > B > A

B

C > A > B

C

B > C > A

D

B > A > C

E

A > B < C

The ratio of boys to girls in class A is 3 to 4 . The ratio of boys to girls in class B is 4 to 5 . If the two classes were combined, the ratio of boys to girls in class B is two less than the number of girls in class A. How many girls are in class A?

A

87

B

11

C

12

D

15

In a group of 450 students, 22% of the total students take the Hindi subject, 34% of the total students take the Physics subject, and 26% of the total students take the Social Science subject. 8% of the total students have taken both Hindi and Physics subject only. Out of the total students in the Hindi subject, 1/3 have taken both Hindi and Social Science subject only. Out of the total students in the Physics subject, 1/3 have taken both Physics and Social Science subject only. Only 20 students take all the three subjects. Find the number of students who have not taken any subject.

A

181

B

271

C

241

D

211

E

191

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the average weight of new students added? I. In a class 60% students are male and there average weight is 15 kg more than the female students, 9 males and 6 new female students joined the class and the average weight of the class increased by 0.84 II. Total male students in the class is 12 more than female students adding 9 male students to the class increases the average weight of male students by 1 kg and adding 6 female students increases the average weight of female students by 0.6.

A

If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

B

If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

C

If the data either in statement I alone or in statement II alone is sufficient to answer the question.

D

If the data even in both the statements I and II together are not sufficient to answer the question.

E

If the data in both statements I and II together are needed to answer the question.

Among 170 students of a class, 155 students participate in one or more of the three classes: Guitar, Drum and Violin. Total 21 students participate on any and only two of three classes. 54 students participate in Drum class only, whereas 43 students participate in Violin class only. 5 students participate in all the three classes. How many students participate in Guitar class only?

A

47

B

30

C

32

D

42

In a coaching institute in Mukherjee Nagar, there are 252 students, in which the ratio of boys and girls is 2 : 1. Some more girls are enrolled, and the number of girls become equal to that of the boys. The average age of all the students is now 22 years and the average age of boys is 2 years more than the average age of the girls. Find the average age of boys and girls.

A

23, 21

B

23, 31

C

13, 21

D

23, 13

E

None of these

The number of students enrolled in different streams in a college is shown in the following table. Science Arts Commerce Vocational Girls Boys Girls Boys Girls Boys Girls Boys 35 18 25 47 45 40 10 30 The ratio of the total number of boys to that of girls in the college is:

A

1 : 1

B

23 : 27

C

13 : 12

D

27 : 23

The data given in the table shows the number of boys and girls enrolled in three different streams in a school over 5 years. Years Arts Science Commerce Boys Girls Boys Girls Boys Girls 2012 48 36 40 35 35 45 2014 42 43 42 32 32 42 2016 45 42 38 30 36 38 2018 39 46 41 23 28 34 2020 36 43 39 30 39 41 By what percent is the total number of boys in Arts stream more than the total number of boys in Science stream in the years 2012 to 2020?

A

\(2\frac{18}{41}\)

B

0

C

5

D

\(4\frac{16}{21}\)

The number of students in class IX and class X is 42 and 45, respectively. The ratio of the number of boys to girls in classes is IX and X is 9 ∶ 5 and 8 ∶ 7, respectively. What is the difference between the total number of boys and the total number of girls in both the classes taken together?

A

11

B

12

C

17

D

15

The total number of students in two classes A and B is 400. The percentage of students in class B is equal to the number of students in class A. If 35% students of class B are girls, then the number of girls in class B is what per cent of the total number of students in class A and B?

A

25%

B

20%

C

28%

D

30%

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