In the given Venn diagram, “Group R” represents those who have visited “Russia”,“Group C” represents those who have visited “China” and “Group G” represents those who have visited “Japan”. The number given in the diagram represent the number of persons in that particular category. If out of the total number of persons who have visited at least two countries, 60% are females then how many of them are males?

The total number of males and females in a town is 70,000. If the number of males is increased by 6% and that of the females is increased by 4%, then the total numbers of males and females in the town would become 73520. What is the difference between the number of males and females in the town, in the beginning?

A

1500

B

1400

C

1800

D

2000

There are 56 passengers travelling in a bus out of which 26 are males and the rest are females. At the next stop, 12 males and 8 females get down and 7 males and 6 females enter the bus. What is the ratio of males and females in the bus now?

A

2 : 5

B

2 : 3

C

3 : 4

D

3 : 5

Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement. Statement I. All males are humans. II. Some humans are females. Conclusion I. All males are females. II. Some females are males. III. Some females are humans. IV. All humans are males.

A

Only Conclusion I follows

B

Conclusions I, II and III follows

C

Only conclusion III follows

D

Conclusion II and IV follows

In the given Venn diagram, ‘Group A’ represents those who can speak ‘English’, ‘Group B’ represents those who can speak ‘Hindi’, and ‘Group C’ represents those who can speak ‘Marathi’. The numbers given in the diagram represent the number of persons in that particular category. How many persons can speak exactly two languages?

A

21

B

12

C

18

D

3

E

None

Find the total population of town A. Statement I: Number of males in town B is 11520 which is 80% of the number of females in town A. There are 4880 more males in town A as compared to town B. Statement II: The ratio of number of males and females in town A is 41 : 36 and difference of number of males and females is 2000.

A

Both Statements I and II together are not sufficient to answer the question.

B

Statement II alone is sufficient to answer the question.

C

Statements I and II together are required to answer the question.

D

Either statement I or statement II alone is sufficient to answer the question.

E

Statement I alone is sufficient to answer the question.

The following table shows the percentage distribution of the population of five states, A, B, C, D and E on the basis of the poverty line and also on the basis of sex. State Percentage of population below the poverty line Proportion of Males and Females Below poverty line Above poverty line Males: Females Males : Females A 15 5: 3 4: 3 B 25 1: 2 2: 3 C 19 3: 2 4: 5 D 35 1: 2 2: 3 E 24 3: 5 6: 7 If the population of males below the poverty line State C is 3 million, then what is the total population of State C?

A

24.486 million

B

23.361 million

C

25.617 million

D

26.316 million

In a society A the ratio of males and females is 8 ∶ 5 and in another society B the ratio of males and females is 7 ∶ 9. If the sum of the males in both the society is 52 and the number of females in society B is 21 more than the number of female in society A. Find the number of men in both societies is what percentage of number of females in both the societies(approximate value).

A

105%

B

98%

C

99%

D

102%

E

110%

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. How many males are there in society A? I. Number of females in society B is 56 more than the number of males in society C. Society C has a total population(male and female combined) of 180. II. Society C has 20% more males than society A who makes 60% of the total population of society A and females in society A is equal to males in society B.

A

1) 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

2) 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

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

D

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

E

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

Study the accompanying Venn diagram that represents groups of persons speaking five different languages as follows. Oblong circle = Marathi ; Rectangle = Kannada, Circle = English, Triangle = Gujarati, Equilateral quadrangle = Hindi Using above information select the false statement/s from following list. (a) Area c represent persons speaking 5 languages but area d represents persons speaking 4 languages only. (b) Areas b and d represent persons speaking same number of languages. (c) Areas f, b and e represent persons speaking same languages. (d) Areas g and h represent persons who speak two languages only.

A

Both (a) and (b)

B

None

C

All but (c)

D

None but (c)

The ratio of the number of males and females in a group is 6 : 7. 15 females leave the group. As a result, this ratio becomes 12 : 11. Now, if 6 males join the group, then what will be the ratio of the number males and females in the group?

A

3 : 2

B

6 : 5

C

4 : 3

D

5 : 4

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