The entropy increase due to internal irreversibility is also called entropy production or entropy generation.

One bacterium splits into eight bacteria of the next generation. But due to environment, only 50% of one generation can produced the next generation. If the seventh generation number is 4096 million, what is the number in first generation?

A

1 million

B

2 million

C

4 million

D

8 million

E

None of these

Generation Xers are those people born roughly between 1965 and 1981. As employees, Generation Xers tend to be more challenged when they can carry out tasks independently. This makes Generation Xers the most entrepreneurial generation in history.
This paragraph best supports the statement that Generation Xers

A

work harder than people from other generations.

B

have a tendency to be self-directed workers.

C

have an interest in making history.

D

tend to work in jobs that require risk-taking behavior.

E

like to challenge their bosses work attitudes.

Which of the following statements pertaining to entropy are correct? 1. The entropy of a system reaches its minimum value when it is in a state of equilibrium with its surroundings 2. Entropy is conserved in all reversible processes 3. Entropy of a substance is least in solid phase 4. Entropy of a solid solution is not zero at absolute zero temperature

A

1, 2 and 3 only

B

2, 3 and 4 only

C

3 and 4 only

D

1, 2, 3 and 4

Study the given bar chart and answer the question that follows. The bar chart shows the production of medicines by a company (in 1000 tonnes) over six years 2010 to 2015. If in each of the following years, the percentage increase in production as compared to the previous year is taken, then the ratio for increase production of the year 2011 to increase production of year 2015 is:

A

2 ∶ 1

B

1 ∶ 2

C

2 ∶ 3

D

3 ∶ 2

Which one of the following sets is incorrect to show the inter-relationships among price elasticity coefficient, change in price and change in total revenue ? Price elasticity coefficient Change in price Change in Total Revenue 1) Zero Increase Decrease Increase Decrease (2) Less than 1 Increase Decrease Decrease Increase (3) Equal to 1 Increase Decrease No change No change (4) More than 1 Increase Decrease Decrease Increase

A

(1)

B

(2)

C

(3)

D

(4)

Generation X refers to people born roughly between 1965 and 1981 Employees of Generation X tend to be successful when they can carry out task independndy. This makes Generation X the most entrepreneurial generation in history. Which of the following statements is best supported by the paragraph?

A

Employees of Generation X like to challenge the work attitudes of their bosses.

B

Employees of Generation X tend to work in jobs that require risk-taking behavior.

C

Employees of Generation X have a tendency to be self directed workers

D

Employees of Generation X work harder than people form other generations

A man has 'n' magical eggs whose average weight is 'k' gm. Each of the 'n' eggs produces 'n' eggs next day such that the average weight of 'n' eggs produced is same as that of the parental egg for each 'n' groups individually i.e. each egg produces 'n' eggs of next generation and average weight of all the 'n' eggs of next generation is same as the weight of the mother egg. This process is continued without any change in pattern. What is the total weight of all the eggs of rth generation, where the initial number of eggs with man are considered as the eggs of first generation.

A

rnk

B

rnk

C

nkr

D

nrk

E

None of these

A man has 'n' magical eggs whose average weight is 'k' gm. Each of the 'n' eggs produces 'n' eggs next day such that the average weight of 'n' eggs produced is same as that of the parental egg for each 'n' groups individually i.e. each egg produces 'n' eggs of next generation and average weight of all the 'n' eggs of next generation is same as the weight of the mother egg. This process is continued without any change in pattern. What is the total weight of all the eggs of r^th generation, where the initial number of eggs with man are considered as the eggs of first generation.

A

rnk

B

rⁿk

C

nk^r

D

n^rk

E

None of these

The given bar graph represents data of the production of paper (in ten lakh tonnes) by three different companies X, Y and Z during the years 2008 to 2012. The x-axis shows the 'years' and the y-axis represents the 'production of paper (ten lakh tonnes)'. (Note: The data shown is only for mathematical exercise. They do not represent actual figures.) The total production of Company Y during 2008 and 2009 and Company X for 2011 and 2012 taken together is p% (p is correct to the nearest integer) more than the total production of Company Z during 2010, 2011 and 2012. The total production of Company Z during 2008 and 2009 taken together is q% (q is correct to the nearest integer) less than the total production of Company X during 2008, 2009 and 2012 and Company Y during 2010 and 2011 all together. What is the positive difference between p and q ?

A

19

B

29

C

21

D

31

There are five crude oil refining companies in India namely, A, B, C, D, and E. Statements: I. The production of Company B is more than that of Company A but not more than that of Company E. II The production of Company C is more than the production of Company B but NOT as much as that of Company D. III. The production of E is NOT as much as the production of Company D. Which of these statements is/are sufficient to answer the question that the production of which of the following companies is the highest?

A

Statement (I) and Statement (II) together are sufficient

B

Either statement (I) and statement (II) together or statement (III) are statement

C

Any two statements together are sufficient

D

All the statement (I), statement (II) and statement (III) together are sufficient

The entropy increase due to internal irreversibility is also called entropy production or entropy generation.

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