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).

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.

In the following question, the 1st and the last part of the sentence/passage are numbered 1 and 6. The rest of the sentence/ the passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence/ passage and find out which of the four combinations is correct. 1. Women CEOs face more negative backlash over ethics violations compared to male leaders. P. Thus men are considered more culpable in business failings, and that women are more nurturing than men, which makes them more at fault in actions that harm or disappoint others. Q. The findings expose some of society’s most rigidly ingrained stereotypes — that men are more competent than women. R. By contrast, the study also found a reverse gender bias in the public’s perception of business leadership: women leaders faced less flack for failures of competence than men. S. The findings are part of a broader slew of recent research focused both on evaluating the performance of male versus female business leaders (women tend to come out on top), as well as the public perception of male leaders v/s female leaders. 6. Perhaps, slowly, we’re realizing men should be as responsible for ethical conduct as women — which means we may not be far off from considering women just as competent as men.

A

RPQS

B

PQRS

C

SPQR

D

QRSP

In a party there are male and female members. If 15 female quit then the number of females will become double the number of males. If 45 males quit no. of female becomes five times the number of males. Find the number of females ?

A

175

B

145

C

165

D

135

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 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

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

Two quantities I and II are given in the following questions. You have to find the values of both I and II by using your knowledge of mathematics and choose the most suitable relation between quantity I and II from the given options. Quantity I: Two persons A and B started a business with their certain initial capital. If A and B invested their capital in the business for 12 years and 8 years respectively and the ratio of their profit from the business is 21 : 16, then what is the initial capital invested by A if B invested Rs. 16000. (Consider only numerical value) Quantity II: Ratio of male to female who have a Visa card is 8 : 5 while the ratio of male to female who have a Master card is 4 : 7. The ratio of males who have a Visa card to those who have a Master card is 2 : 1. If the total number of males who have both cards is 15000 then find the total number of females who have both cards?

A

Quantity I > Quantity II

B

Quantity I < Quantity II

C

Quantity I = Quantity II or No relation can be established

D

Quantity I ≥ Quantity II

E

Quantity I ≤ Quantity II

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

There are 3 groups of persons - male, female and children. There are 20 males and the number of females and children taken together is 4 more than that of the males. The average weight of males is 54 kg, that of females is 49 kg and that of children is 30 kg. If the average weight of the whole group is 48.25 kg, then what is the difference between the number of females and the number of children?

A

10

B

17

C

7

D

14

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