Explore topic-wise InterviewSolutions in Current Affairs.

Correct option is (A) 1/4 (2ⁿ) = 2^n-2

(A) \(\frac{1}{4}(2^n)=\frac{2^n}{2^2}=2^{n-2}\) (Correct)

(B) \(4^{n-1}=4^n\times4^{-1}=\frac{4^n}4\) (Incorrect)

(C) \(4^m\times4^{-m}=4^{m+(-m)}=4^{m-m}=4^0=1\neq4^{-2m}\) (Incorrect)

(D) \(25\,(5^n)=5^2\times5^n=5^{2+n}\neq5^{n-1}\) (Incorrect)

A) 1/4(2ⁿ) = 2^{n - 2}

Correct option is (D) \(\frac{-1}{216}\)

\(\frac{-1}{6}\times\frac{-1}{6}\times\frac{-1}{6}\) \(=\frac{(-1)^3}{6^3}=\frac{-1}{216}\)

Correct option is   D) \(\frac{-1}{216}\)

Correct option is (C) 1024

\(2^{10}=(2^5)^2=(32)^2=32\times32=1024\)

Correct option is  C) 1024

Correct option is (B) 30

\((6^{-1}-8^{-1})^{-1}+(2^{-1}-3^{-1})^{-1}\) \(=(\frac16-\frac18)^{-1}+(\frac12-\frac13)^{-1}\)

\(=(\frac{4-3}{24})^{-1}+(\frac{3-2}6)^{-1}\) \(=(\frac{1}{24})^{-1}+(\frac{1}6)^{-1}\)

\(=(24^{-1})^{-1}+(6^{-1})^{-1}\) = 24+6 = 30

Correct option is  B) 15

Correct option is (C) 29

\((\frac{1}{2})^{-2}+(\frac{1}{3})^{-2}+(\frac{1}{4})^{-2}\) \(=(2^{-1})^{-2}+(3^{-1})^{-2}+(4^{-1})^{-2}\)

\(=2^2+3^2+4^2\)

= 4+9+16 = 29

Correct option is  C) 29

Correct option is (D) None

\(\cfrac{5^m\times5^3\times5^{-2}}{5^{-5}}=5^{12}\)

\(\Rightarrow\) \(5^{m+3+(-2)-(-5)}=5^{12}\)

\(\Rightarrow\) \(5^{m+3-2+5}=5^{12}\)

\(\Rightarrow\) \(5^{m+6}=5^{12}\)

\(\Rightarrow\) m+6 = 12

\(\Rightarrow\) m = 12 - 6 = 6

Correct option is  D) None

Correct option is (B) 1

\(\frac{6^{-2}}{6^n}=6^{-3}\)

\(\Rightarrow6^{-2-n}=6^{-3}\)

\(\Rightarrow\) -2 - n = -3

\(\Rightarrow\) n = -2 - (-3) = -2+3 = 1

Correct option is B) 1

Interest on debentures is usually paid half-yearly. Interest on debentures is recorded in the statement of profit or loss. This interest is expense against profit. Interest on debentures has to be paid regularly even if the company suffers a loss or does not earn the profit.

• The rate of interest payable on debentures is prefixed.
• As per Income Tax Act, a company is required to deduct income tax at the prescribed rate from the gross amount of debenture interest before any amount is paid to the debenture holders. This tax amount is to be deposited with the income tax department on behalf of the debenture holders. It is known as Tax deducted at Source(TDS). While preparing the final accounts for an accounting period provision or effects must be made for any accrued interest on debentures due to variations of the dates.
• If a company pays interest on debentures on a half-yearly period and interest remains unpaid it will be called ‘Interest accrued and due’.

Correct option is (C) 100

When a company takes a loan from a bank or from some other party, the company may have to issue debentures as a subsidiary or secondary security in addition to the principal security. The debentures so issued are known as debentures issued as collateral securities. If the company repays its dues to the bank in right time, the bank will return the debentures to the company and the debentures received this way are cancelled by the company.

If the company fails to repay the amount of loan or interest on this in proper time then the lender will first realize its debt from the principal security and still anything is remained lender can recover balance amount from the sale of debenture.

Entry for issue of debentures as collateral security will be recorded as follows:

Debenture suspense A/c Dr.

To Debenture A/c

(Being issue of debentures as collateral security against loan)
As and when the loan amount is fully paid up by the company, bank will return all the debentures to the company and entry passed above will be reversed in that case.

Correct option is (B) interest

Correct option is (C) liability

Correct option is (B) 25

The procedure for issue of debenture is as follows :

• A resolution is passed at the meeting of Board of Directors of the company in which number of debentures, amount per debenture, total amount of debenture issued, rate of interest there on etc. are mentioned.
• At the time of issue of debentures, Companies Act and provisions of SEBI should be consider. A company should issue a prospectus or a statement in Lien of the prospectus with proper information imiting the public to subscribe for debentures.
• Allotment of debentures should be equal the number of issued debentures against the number of debenture application received. For this, company has to open separate bank account in any scheduled bank .
• As per rule of the Companies Act 2013, minimum subscription should be 90% of the issued amount.
• Full amount of debentures may be called by the company on application or may be called in installments.
• After subscription or issue is close, allotment letter is sent to the applicants to whom debentures were allotted and debenture application money is refunded to those applicants to whom debentures were not allotted.
• Debentures may be issued either at par at a premium or at a discount.
• Debentures can be issued at discount. The rate of premium or discount is to be decided by the directors.

When the debentures are issued at less than their face value, they are said to be have been issued at discount, e.g. A debenture of ₹ 100 face value is issued at ₹ 80 then ₹ 20 would be discount. As per Companies Act, there is no restriction regarding maximum discount to be given on the issue of debentures. If there is no restriction in the Articles of Association of the company, debenture can be issued at discount.
Amount of discount on debentures is debited to ‘Discount on Debenture A/c’.

Amount of debenture discount or loss on issue of debenture is shown in the balance sheet as per Accounting Standard-26. Debenture discount amount is shown under different heads which depends on terms of debentures.

Correct option is (B) Debenture application and allotment A/c

Correct option is (D) capital profit

When the debentures are issued at more than their face value they are said to be have been issued at premium, e.g. If a debenture of ₹ 100 is issued at ₹ 120 then it is called that this debenture is issued at premium of ₹ 20.
As per Companies Act 2013, premium amount on debentures is transferred to ‘Securities Premium Reserve Account.

Debenture premium is a capital profit and can be used to write off capital loss.
Debenture premium cannot be used for distribution of dividend.
Securities Premium Reserve Account is shown on the equity and liabilities side of the balance sheet under the heading of ‘Reserve and Surplus’.

Correct option is (C) Securities premium reserve A/c

Correct option is (A) Non-current liabilities

True

10^-2 = 1/10² = 1/100

Man has more responsibilities than other species because he is the crown of creation and he must protect the other species.

(a) plants and trees

(a) 16

Explanation: 1/(4)^-2 

= 1/(1/4²) 

= 4² 

= 16

(a) One-tenth of the previous number

Explanation: Suppose for 10⁶, when the exponent is decreased by 1, it becomes 10⁵. Hence, 10⁵/10⁶ = 1/10.

(c) saying no to something

The author points out the importance of the Green Movement by comparing it to the revolutionary ideas of Copernicus. He had taught mankind in the 16th century that the earth and the other planets revolved round the sun.

Over-population is one of the strongest factors responsible for a nation’s poverty and unemployment. It disturbs the earth’s principal biological systems leading to degradation of environment. The author highlights the problem of over-population by pointing out the mental setup of the poor who feel more children means more workers to earn money. They do not realise that more children only means more unemployed people.

He argues that development is the best contraceptive, which includes spread of education, improvement of health and rise in income. Spread of education leads to awareness among people, which in turn results in a fall in the ‘fertility’ rate. The author makes a comment which emphasises the never ending circle of population and poverty by asserting that “The choice is really between control of population and the perpetuation of poverty.”

We have shifted our perceptions from chanistic view to a holistic and ecological view, v we regard the earth as a living organism, is an enormous being and we are its parts. It has its own metabolic needs and vital processes. We must respect and preserve them.

The earth has four principal biological systems. These are : fisheries, forests, grasslands and croplands. They form the basis of the world’s economic system. They supply us food and raw materials for industry.

The signs of the earth which are connected with life show that the earth is a patient in declining health. We must realize our moral obligations to be good stewards of the planet. We must act as responsible trustees of the legacy of future generations.

Man is the most dangerous animal of the world. He has learnt a new awareness. He has acted wisely. He has shifted from the system of domination to one based on partnership.

1. D. Both ‘A’ and ‘B’

2. B. Four principal biological systems of the earth

3. A. grasslands are converted into barren wastelands.

4. B. The tropical forest

Sustainable development has been defined as the development that meets the needs of the present without putting in danger the ability of future generations to meet their needs. In other words, the present generation would not deprive the natural world of the resources the future generations would need.

1. C. development to meet the needs of the present without compromising the ability of future generations.

2. D. Both ‘A’ and ‘B’

3. C. Man himself

4. B. Shift from a system based on demination to the one based on partnership.

Don Anselmo wore the long, old, faded coat. He wore tom gloves and carried a woman out Umbrella’s skeleton as a stick. A dark young hoy always followed him Though he was an old man, he bowed to all and removed his hat and gloves slowly and carefully.” The manner of removing is also similar to that of Charlie Chaplin. By all these factors we could say his appearance and manners were quite unusual.

e) 

a) 

h) 

g) 

f) 

b) 

i) 

d) 

c)

The old man thought a while and he felt insulted and refused the offer. He was the man of principles, so according to him it was not fair to accept more money than agreed before.

According to land Surveyor, the land was doubled so the storyteller offered the old man almost the double amount because it is fair and just as usual.

One of his kin had eyes like a gazelle .

The old man bowed to all the people who had been waiting for him.

1. When the train was crossing the tunnels

2. 58 tunnels

3. It was the air-conditioned tourist compartment with wide windows and LCD TV.

4. After Chimidipalli station, just after a tunnel

5. It was an unforgettable experience.

(a) zero

(b) μ₀/2π i/R perpendicular to AO towards left.

(c) μ₀/π i/R perpendicular to AO towards left.

रेवती ने मुरझाए पौधे को हवा, पानी और रोशनी प्राप्त करने के लिए बरामदे में रखा।

पुष्प प्रदर्शनी में रेवती ने सिद्ध कर दिया कि पौधा उसी का है। उसने धीमी गति में ‘मोहनम’ राग बजाया, जिसे सुनकर पौधा वायलिन की तरफ झुक गया। लोगों ने अचंभे से तालियाँ बजाईं।

पौधा वायलिन सुनना पसन्द करता था; क्योंकि वह अत्यन्त संवेदनशील था।

सही विकल्प है (ख) गुजरात

भारत में सन् 1952 में भारतीय वन जैवमण्डल (Indian Board for Wild Life-IBW) की स्थापना की गई। भारतीय संविधान में वन्य-जीवों के शिकार करने पर प्रतिबन्ध है।