This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Recruitment of employees from within the organisation is known asA. foreign source of recruitmentB. external source of recrruitmentC. internal source of recruitmentD. national source of recruitment |
| Answer» (c) Internal source of recruitment | |
| 2. |
Explain any three effective methods of handling complaints in hotels |
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Answer» Listen- Listen to what the customer has to say. Even if we can’t solve the problem, we still need to listen to them. Body Language-The way a person stand and look at a customer can speak more than words. Maintain eye contact Avoid the urge to roll our eyes, if we are feeling exasperated. Instead, nod and smile, no matter how irritated we feel. This shows we value customers’ opinion. Freebies- If a customer has problem that could have been prevented, then the best route to take is to apologize and offer them some sort of compensation. Some quick freebies like free round of drinks, free dessert, gift vouchers or a special food discount can be offered to the customer. |
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| 3. |
Explain the linkage between transportation and tourism. |
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Answer» Transport is the key element in the tourism industry. The demand in international and even national transport infrastructures implies a very large number of people who wants to move in an efficient, fast and inexpensive manner. A well-organized terminals and intelligently planned schedules are essential in promoting effective transportation facilities for tourists, notably since the industry is growing at a fast rate. Transport is the cause and the effect of the growth of tourism. The improved facilities have stimulated tourism, and the expansion of tourism has stimulated transport. Accessibility is the main function behind the basics of tourism transport. |
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| 4. |
Write the full form of any two of the following Professional Bodies. 1) UFTAA 2) ASTA 3) IATO 4) FIYTO |
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Answer» 1) The United Federation of Travel Agents’ Associations 2) American Society of Travel Agents 3) The Indian Association of Tour Operators 4) The Federation of International Youth Travel Organisation |
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| 5. |
Differentiate between Travel Agencies and Tour Operators. |
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| 6. |
Which of the following is popularly known as handling agencies whose main function is to organize tour arrangements for incoming tourists on behalf of overseas operators.a) Domestic tour operators b) Inbound travel operators c) Outbound travel operators d) Destination management companies |
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Answer» Correct option: d) destination management companies |
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| 7. |
After sale services such as handling of complaints maintenance services, etc are popularly known asA. promotionB. storage and warehousingC. brandingD. customer support services |
| Answer» (d) Customer support services | |
| 8. |
What are the functions of finance commission of India. |
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Answer» 1. The distribution between the Union and the States of the net proceeds of taxes, which may be divided between them and the allocation among the states of the respective shares of such proceeds; 2. To determine the quantum of grantsin- aid to be given by the Centre to states [Article 275 (1)] and to volve the principles governing the eligibility of the state for such grant-in-aid; 3. Any other matter referred to the Commission by the President of India in the interest of sound finance. Several issues like debt relief, financing of calamity relief of states, additional excise duties, etc. have been referred to the Commission invoking this clause. |
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| 9. |
Explain any two importance of statistics. |
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Answer» The importance of statistics can be defined in different parts i.e. statistics in planning in economics, in business etc because statistical methods are used in every economic related areas. 1. Statistics in planning : Modern age is the age of planning every objective plan depends upon the correct and sound statistical data. Planning is the pre-determined sets of program and policies, which is formulated in order to meet the targeted objectives,. To formulate the plan and details study of the existing situation is needed which is possible only thorough the statistical tools. 2. Statistics in Economics : Statistics is very essential to develop and prove the principles and laws of economics. It has great importance to understand the economics problems like production, consumption, distribution etc. as they can be solved by using statistical data. |
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| 10. |
Explain the limitations of statistics. |
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Answer» 1. Statistics is not suitable to the study of qualitative phenomenon: Since statistics is basically a science and deals with a set of numerical data. It is applicable to the study of quantitative measurements. As a matter of fact, qualitative aspects like empowerment, leadership, honesty, poverty, intelligence etc., cannot be expressed numerically and statistical analysis cannot be directly applied on these qualitative phenomena. 2. Statistical laws are not exact: It is well known that mathematical and physical sciences are exact. But statistical laws are not exact and statistical laws are only approximations. Statistical conclusions are not universally true. They are true only on an average. 3. Statistics table may be misused: Statistics must be used only by experts; otherwise, statistical methods are the most dangerous tools on the hands of the inexpert. The use of statistical tools by the inexperienced and untrained persons might lead to wrong conclusions. 4. Statistics is only one of the methods of studying a problem: Statistical method does not provide complete solution of the problems because problems are to be studied taking the background of the countries culture, philosophy, religion etc., into consideration. Thus the statistical study should be supplemented by other evidences. |
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| 11. |
Briefly explain the kinds of measures of dispersion. |
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Answer» There are two kinds of measures of dispersion, namely 1. Absolute measure of dispersion 2. Relative measure of dispersion 1. Absolute measure of dispersion indicates the amount of variation in a set of values in terms of units of observations. 2. Relative measures of dispersion are free from the units of measurements of the observations. They are pure numbers. They are used to compare the variation in two or more sets, which are having different units of measurements of observations. 3. Standard Deviation is one of the methods of Absolute measure of dispersion. Karl Pearson introduced the concept of standard deviation in 1893. Standard deviation is also called Root- Mean Square Deviation. The reason is that it is the square-root of the mean of the squared deviation from the arithmetic mean. It provides accurate result. Square of standard deviation is called Variance. |
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| 12. |
Explain various routine and miscellaneous duties which a PS of a multi- national company is usually required to perform. |
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Answer» Routine Office Duties: i) Take dictation and transcribe the same on computer. ii) To tabulate data and prepare charts, make simple calculations etc. iii) Correspondence with other organizations on the instructions of the boss or take initiative for briefing the information to the executive. iv) Handling inward and outward mail both physical mail and e mail. v) Locating information from various sources on internet vi) Maintaining both incoming and outgoing; whether physically files or by doing e filing vii) Operation of office machines and their maintenance. viii) Maintaining appointment diary, memory aids, etc. ix) Locating information from various sources including internet such as rail time table, dictionary, tourist guide, ready reckoner, etc. Miscellaneous duties: Private Secretary has to do some miscellaneous duties like to- i) prepare Power Point Presentations on various topics. ii) work as Data Entry Operator. iii) present the concise information when the officer has to sit for an interview. iv) draft the reports and speeches for meetings and workshops, etc. v) supervise the junior employees and their training, etc. vi) act as a liaison officer between the employer and the employees. vii) advise the executive on personnel and other matters in relation to office machine, equipment and stationery, etc. |
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| 13. |
The record act as a memory unit of an organization True/False |
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Answer» The record act as a memory unit of an organization is True. |
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| 14. |
What do you mean by ECS? State the advantages of ECS to Customers and Banks |
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Answer» Electronic Clearing Services (ECS) ECS is an electronic mode of payment / receipt for transactions that are repetitive and periodic in nature. Customers: The advantages of ECS to customers are as follows:
Benefits to Banks:
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| 15. |
What is meant by fire insurance policy? State its benefits. |
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Answer» Fire insurance is a contract under which the insurer in return for a consideration (premium) agrees to indemnify the insured/assured for the financial loss which the Insured may suffer due to destruction of or damage to property or goods, caused by fire, during a specified period. Assets, Building, property are protected. Loss caused due to fire is indemnifies. |
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| 16. |
What is meant by Nomination? Who can nominate? State its importance. |
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Answer» Nomination means nominating a person to receive the benefit of Life Insurance policy. It is done only by a policyholder who is a major &holding Policy Bond in his own name. Through nomination facility, the policyholder will appoint a nominee or nominees to receive the death benefit while processing a death claim. The sum assured plus the applicable bonuses will be paid along with the death claim. |
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| 17. |
The Bank which initiates ECS credit is known as __ Bank a) Sponsor Bank b) Destination Bank c) Beneficiary Bank d) Reserve Bank |
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Answer» Correct answer is a) Sponsor Bank |
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| 18. |
Which of the following is not a feature of Negotiable instruments ? a) Instrument in writing b) Unconditional order / promise c) A Negotiable Instrument is necessarily drawn on a specific banker d) The promise or acceptance to pay is for payment of money and money only. |
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Answer» c) A Negotiable Instrument is necessarily drawn on a specific banker |
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| 19. |
What does NEFT stands for? a) National Economic Fund Transfer b) National Electron Fund Tenor c) National Electronic Fund Transfer d) National electric fund transport |
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Answer» Correct answer is c) National Electronic Fund Transfer |
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| 20. |
Increased interest rates, as is existing in the economy at present willA. Lead to higher GDP growthB. Lead to lower GDP growthC. Mean higher cost of raw materialsD. Mean lower cost of raw materials |
| Answer» Correct Answer - A | |
| 21. |
An ECS transaction gets bounced and you are unable to recover your money from your customer. Pnder which Act criminal action can be initiated?A. Indian Penal CodeB. Negotiable Instruments ActC. Criminal Procedure CodeD. Payment and Settlements Act |
| Answer» Correct Answer - D | |
| 22. |
Let `x` be chosen at random from the interval `(0,1)`.The probability that `[log_(10)4x]=[log_(10)x]` is `k//12` ([.] denotes G.I.F), then `k` is |
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Answer» Correct Answer - 2 Let `[log_(10)4x]=k=[log_(10)x]` then `xepsilon[10^(x)(10^(k+1))/4], `for `kgt0` & `k=0 (10^(k), (10^(k+1))/4)` is beyond `(0,1)` but for `klt0` the whole interval is in `(0,1)`. So, favouable `x` is obtained for `k=-1, -2, -3`……….. for `k=-1, xepsilon [1/10, 1/4)` for `k=-2, xepsilon[1/100,1/40)`.......... sum of length of these intervals `=(1/4-1/10)+(1/40-1/100)+.......` `=3/20(1+ 1/10+1/100+...)=1/6` Required probability `=(1/6)/(1-0)=1/6` |
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| 23. |
If `P(x)=x^(6)-x^(5)-x^(3)-x^(2)-x` & `alpha, beta, gamma, delta` are the roots of the equation `Q(x)=x^(4)-x^(3)-x^(2)-1=0` Then `P(alpha)+P(beta)+P(gamma)+P(delta)=` |
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Answer» Correct Answer - 6 `Q(x)=(x^(3)-2x^(2)+x-1)(x+1)=0impliesdelta=-1` `alpha+ beta+gamma=2, alpha beta+beta gamma +gamma alpha=1` `p(x)=(x^(2)+1)Q(x)+x^(2)-x+1` `p(alpha)+p(beta)+p(gamma)+p(-1)=alpha^(2)+beta^(2)+gamma^(2)+1-(alpha+beta+gamma-1)+4` |
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| 24. |
Which of the following gases was not present in the atmosphere at the time of origin of life?1. O22. CO3. NH34. CH4 |
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Answer» Correct Answer - Option 1 : O2 The correct answer is O2.
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| 25. |
The product of `13xx5` matrix & `5xx13` matrix contains a variable entry `x` in exactly 2 places. If `D(x)` is the determinant of the matrix product such that `D(0)=1, D(-1)=1`& `D(2)=7` which of the following is/are correct?A. `D(-2)=3`B. `D(1)=3`C. `D(-3)=7`D. `D(1)=2` |
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Answer» Correct Answer - A::B::C `D(x)` can at most be polymial of degree 2 `D(x)=ax^(2)+bx+c` `D(x)=x^(2)+x+1` `D(1)=3` `D(-2)=4-2+1=3` `D(-3)=9-3+1=7` |
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| 26. |
Straight line `3x-4y=4/(pi)sin^(-1)(a^(8)+1)+2cos^(-1)(a^(12)+1)-sec^(-1)(a^(2)+1),aepsilonR` & `6x-8y=7` are tangents to a circle then the length of arc of this circle which makes on angle of `40/3` at its centre is |
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Answer» Correct Answer - 2 For `4/(pi)sin^(-1)(a^(8)+1)+2cos^(-1)(a^(12)+1)-sec^(-1)(a^(2)+1)` to be defined `a=0` `:. 3x-4y=4/(pi).(pi)/2+2.0-0=2` `3x-4y=2` `6x-5y=7` `d=|(7/2-2)/5|=3/10` `r=3/20` `I=rtheta=3/20xxtheta=2` |
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| 27. |
If `alpha(theta) epsilon R` & `beta(theta),theta epsilon R-{2n pi-(pi)/2, n epsilin I}` are functions satistying `(1+x)sin^(2)theta-(1+x^(2))sintheta +(x-x^(2))=0` then which of the following is/are correct?A. `lim_(theta to 0^(+)){(alpha(theta))^(1/(sintheta))+(beta(theta))^(1/(sintheta))}=1/(e^(2))`B. `In (beta(theta))` is a odd `fn`C. `lim_(theta to 0) (sum_(r=1)^(n) r^(1/(alpha^(2)(theta))))^(alpha^(2)(theta))=n, n epsilon N, h ge2`D. `lim_(theta to pi//2)(alpha(theta)-(alpha(theta))^(alpha(theta)))/(1-alpha(theta)+In(alpha(theta)))=2` |
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Answer» Correct Answer - A::B::C::D `x^(2)-((1+sin^(2)theta)/(1+sintheta))+((sintheta-sin^(2)theta)/(1+sintheta))=0` `x^(2)-x(sintheta+(1-sintheta)/(1+sintheta))+sintheta((1-sintheta)/(1+sintheta))=0` `impliesx=sintheta , (1-sintheta)/(1+sintheta)` `impliesalpha(theta)=sintheta, beta(theta)=(1-sintheta)/(1+sintheta)` Hence the results follows. |
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| 28. |
‘It is a truth universally acknowledged that a single man in possession of a good fortune, must be in want of a wife.’ is the opening line of the book ______.1. Sense and Sensibility2. Pride and Prejudice3. Persuasion4. Emma |
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Answer» Correct Answer - Option 2 : Pride and Prejudice The correct answer is Pride and Prejudice. Some important Books and Authors:-
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| 29. |
If the sides `a, b` & `c` `/_ABC` is such that `a/(1+alpha^(2)beta^(2))=b/(alpha^(2)+beta^(2))=c/((1-alpha^(2))(1+beta^(2)))` thenA. `A=2tan^(-1)(alpha//beta)`B. `beta=2tan^(1-)(alpha beta)`C. area of `/_ABC=(alpha beta ab)/(alpha^(2)+beta^(2))`D. area of `/_ABC=(alpha beta bc)/(alpha^(2)+beta^(2))` |
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Answer» Correct Answer - A::B::D `a/(1+alpha^(2)beta^(2))=b/(alpha^(2)+beta^(2))=c/((1-alpha^(2))(1+beta^(2)))=(2s)/(2+2beta^(2))` `implies s/(1+beta^(2))=a/(1+alpha^(2)beta^(2))implies(s-a)/(beta^(2)(1-alpha^(2)))=a/(1+alpha^(2)beta^(2))` `implies s=a=(a(1-alpha^(2))beta^(2))/(1+alpha^(2)beta^(2))` Similarly `s-b=(b(1-alpha^(2)))/(alpha^(2)+beta^(2))` `s-c=(calpha^(2))/(1-alpha^(2))` & `s=(b(1+beta^(2)))/(alpha^(2)+beta^(2))` `:. tan^(2)(A//2)=((s-b)(s-c))/(s(s-a))=((b(1-alpha^(2)))/(alpha^(2)+beta^(2)).(calpha^(2))/(1-alpha^(2)))/(b(1+beta^(2))/(alpha^(2)+beta^(2)) (a(1-alpha^(2))beta^(2))/(1+alpha^(2)beta^(2)))` `[Qa=(c(1+alpha^(2)beta^(2)))/((1-alpha^(2))(1+beta^(2)))]` `implies (alpha^(2))/(beta^(2))` `A=2tan^(-1)(alpha//beta)` `B=2tan^(-1)(alphabeta)` `:.` Reqd area `=1/2 bc sin A = 1/2 bc. (2tan (A//2))/(1+tan^(2)(A//2))=(bcalphabeta)/(alpha^(2)+beta^(2))` |
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| 30. |
If `f(x)=sum_(r=1)^(x) 1/r` and `sum_(r=1)^(2017)f(r)=af(b)+c` thenA. `b=c`B. `a-b=1`C. `b+c=0`D. `a+c=0` |
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Answer» Correct Answer - B::C `f(k)=1+1/2+1/3+….+1/k` `f(1)=1` `f(2)=1+1/2` `f(2017)=1+1/2+1/3+………...1/2017` on adding `=1xx2017+1/2xx2016+1/3xx2015+…….+1/2017xx1` `=1xx2017+1/2(2017-1)+1/3(2017-2)+…………….+1/2017(2017-2016)` `=1xX2017(1+1/2+1/3+……+1/2017)-(1/2+2/3+.....+2016/2017)` `=2017f(2017)-{1- 1/2+1- 1/3++1-1/4+....+1-1/2017}` `=2017f(2017)-1xx2016+(1+1/2+............+1/2017)` `=2017f(2017)-2016+f(2017)` `=2018f(2017)-2017` `a=2018, b=2017, c=-2017` |
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| 31. |
Identity and explain the elements of directing mentioned below.A. Astha, a manager, has the ability to influence others to bring about a change in their behaviour.B. Neeraj, a managing director, declares share in the profits to the manager for their contribution to increase profits of the company. |
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Answer» (a). Leadership- Leadership is the process of influencing the behaviour of people by making them strive voluntarily towards achievement of organisational goals. Leadership indicates the ability of an individual to maintain good interpersonal relations with followers and motivate them to contribute for achieving organisational objectives. (b). Motivation- Motivation means incitement or inducement to act or move. In the context of an organisation. It means the process of making subordinates to act in a desired manner to achieve certain organisational goals. |
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| 32. |
If `z_(1),z_(2),z_(3)` are three complex numbers, such that `|z_(1)|=|z_(2)|=|z_(3)|=1` & `z_(1)^(2)+z_(2)^(2)+z_(3)^(2)=0` then `|z_(1)^(3)+z_(2)^(3)+z_(3)^(3)|` is equal to _______. (not equal to 1) |
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Answer» Correct Answer - 3 `:. z_(1)=zimpliesz_(2)^(2)=z^(2)omega^(2),z_(3)=z_(2)^(2)omega^(2)` `:. (z_(2))/(z_(1))=+omega` or `-omega` `(z_(3))/(z_(1))=+omega^(2)` or `-omega^(2)` |
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| 33. |
`bara` & `barb` be two vectors such that `|a|=1,|b|=4`& `bara.barb=2`. If `barc=(2baraxxbarb)-3barb`, then which of the following is/are correct?A. `barb.barc=48`B. `barb.barc=-48`C. Angle between `barb` & `barc` is`(5pi)/6`D. Angle between `barb` & `barc` is `(pi)/6`. |
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Answer» Correct Answer - B::C `|bara|=1, |barb|=4, bara.barb=2` & `barc+3barb=2baraxxbarb` `Q bara.barb=2` `impliescostheta=2/(|bara||barb|)=1/2 impliestheta =(pi)/3` Agai `|barc+3barb|^(2)=|2baraxxbarb|^(2)` `implies |barc|^(2)+9|barb|^(2)+2barc.3barb=4|bara|^(2)|barb|^(2)sin^(2)theta` `implies|barc|^(2)+144+6barb.barc=48` Also, `barc=2baraxxbarb-3barb` `impliesbarc.barc=barb(2baraxxbarb)-3|barb|^(2)` `impliesbarc.barc=0-3xx16=-48` `:.|barc|^(2)+96-6xx48=0` `=|barc|^(2)=192` `implies|barc|=8sqrt(3)` `barb.barc=|barb||barc|=cos alphaimplies -48=4xx8sqrt(3) cos alpha` `impliescos alpha=-6/(4sqrt(3))=-(sqrt(3))/2` `impliesalpha=(5pi)/6` |
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| 34. |
If `[(bara, barb, barc)]=2` and `(veca.vecb)=2, (vecc.veca)=5` then, `veca` is equal to `xbarb+ybarc+z(barbxxbarc)` (where `barb` & `barc` are two non -coplanar orthogonal unit vectors then`(x+y-z)=?` |
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Answer» Correct Answer - 5 Let `bara=xbarb+ybarc+z(barbxxbarc)` `impliesbara.barb=x(barb.bar)+y(barb.barc)=2` `x+y(barb.barc)=2`…….(1) `bara.barc=0+yxx1=5` `y=5` `bara.(barbxxbarc)=0+0+z|barbxxbarc|^(2)` `z=2` |
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| 35. |
If `f(x)=(3x^(2)+1)/(sqrt(x^(4)+x^(2))) AA 0gtxlesqrt(2)`, then `f(x)` has minimum value `M` at `x=m`. Then `(m^(2) +1/(M^(2)))` is equal to |
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Answer» Correct Answer - `00001.12` `00001.12` `:. (2x)/(sqrt(x^(2)+1))+(sqrt(x^(2)+1))/x ge 2 sqrt((2x)/(sqrt(x^(2)+1))xx (sqrt(x^(2)+1))/x)=2sqrt(2)` `:. M=2sqrt(2)` & `m=+-1`, i.e. `m=1` |
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| 36. |
If `x=int_(0)^(oo)(dt)/((1+t^(2))(1+t^(2017)))`, then `(3x)/(pi)` is equal to |
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Answer» Correct Answer - `00000.75` `00000.75` Put `t=tantheta` `implies int_(0)^(pi//2) (sec^(2)theta d theta)/(sec^(2) theta (1+tan^(2017)theta))=(pi)/4` `implies(3x)/(pi)=3/4=0.75` |
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| 37. |
If `log_((3x+4))(4x^(2)+4x+1)+log_((2x+1))(6x^(2)+11x+4)=4` then `x` is __________. |
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Answer» Correct Answer - `00000.75` `00000.75` Let `t=log_((3x+4))(2x+1)` `implies2t+1/t=3impliest=1` or `1/2` `log_((3x+4))(2x+1)=1/2 implies x=-1` or `3/4` `:.` only solutions is `x= 3/4` |
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| 38. |
Why are debentures known as borrowed funds? |
| Answer» Because debentures are an important debt- instrument for raising long-term finance. They carry a fixed rate of interest. | |
| 39. |
Let `S_(n)=sum_(r=1)^(n)((r^(4)_r^(3)n+r^(2)n^(2)+2n^(4))/(n^(5)))` and `T_(n)=sum_(r=0)^(n-1)((r^(4)+r^(3)n^(2)+2n^(4))/(n^(5))),n=1,2,3,`……….thenA. `T_(n)gt167/60`B. `T_(n)lt167/60`C. `S_(n)gt167/60`D. `S_(n)lt167/60` |
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Answer» Correct Answer - B::C `T_(n)=1/n sum_(r=0)^(n-1) (r/n)` where `f(x)=x^(4)+x^(3)+x^(2)+2, f(x)` is an increasing function for `AA x gt 0`. `T_(n)=1/n[f(0)+f(1/n)…+f((n-1)/n)]` `T_(n)lt int_(0)^(1)(x^(4)+x^(3)+x^(2)+2)dx=167/60` `S_(n)=1/n sum_(r=1)^(n)(f (r/n)gt 1/n[f(1/n)+...+f(r/n)]=167/60` |
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| 40. |
Distinguish between Bill of Exchange and Promissory Note? |
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Answer» The following are the differences between a PN and a BE,
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| 41. |
Briefly explain any three strategies of overcoming barriers to communication? |
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Answer» Strategies for overcoming barriers to communication are: 1. Environmental factors that affect communication include noise and physical obstacles like distance and lack of proper instruments for communicationChecking the instrument before using it for communication is useful in avoiding unpleasant situation. 2. Attitudinal factors that affect communication include fear of upsetting others, fear of rejection or ridicule and low self image. Training of employees in organization and solving their problems 3. System design (i) Time: Some functions are time sensitive and cannot be delayed. Time pressures affect the ability to communicate. Manage your time and pace of communication to ensure effectiveness. (ii) Information overload: Too much information may result in confusion, misinterpretation and loss of information. |
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| 42. |
Which of the following option(s) is/are incorrect?A. `int_(0)^(pi//8)|(sin(8nx)+cos(8nx))/x| dx lt(2sqrt(2))/(pi)(1+1/2+1/3+………+1/n)`B. `2/(In3) lt int_(0)^(1)3^(x^(1//3)) dx lt int_(0)^(1) 4^(x^(1//3))dx`C. `int_(0)^(pi//6) sqrt(sinx)(8-3sqrt(sinx))dx gt (8pi)/9`D. `1/4 lt int_(pi//4)^(pi//3)(tanx)/x dx lt 1/(sqrt(3))` |
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Answer» Correct Answer - A::C (A) Let `int_(0)^(npi)|(sint+cost)/t|dt=A_(n)` `A_(n)gt 1/(pi) [int_(0)^(pi)"sinnt+cost|dt+int_(pi)^(2pi)(|sinnt+cost|dt)/2+..]` `gt1/(pi)(1+1/2+1/3+…..+1/n)(int_(0)^(pi)|sint+cost|dt)` `gt(2sqrt(2))/(pi)(1+1/2+1/3+….31/n)` (C) `(3sqrt(sinx)+8-3sqrt(sinx))/2gesqrt(3sqrt(sinx)(8-3sqrt(sinx)))` (D) `1le tan x le sqrt(3)` and `3/(pi) le 1/x le 4/(pi)` So, `3/(pi)le (tanx)/x le (4sqrt(3))/(pi)` |
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| 43. |
The most general solution of the differential equation `(x+y(dy)/(dx))/(x-y(dx)/(dy))=(2y^(3))/(x^(5))sin^(2)(x^(2)+y^(2))` isA. `-1/2 cot (x^(2)+y^(2))-(2(y//x)^(4))/4+c=0`B. `-1/2cot(x^(2)+y^(2))-(2(y//x)^(4))/4+e^(c)=0`C. `1/2cot(x^(2)+y^(2))-(2(y//x)^(4))/4+tanc=0`D. `1/4 tan (x^(2)+y^(4))-(2y^(3))/x+c=0` |
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Answer» Correct Answer - A::C `1/2 cosec^(2)(x^(2)+y^(2))d(x^(2)+y^(2))=(y/x)^(2)d(y/x)` `implies-1/2cot(x^(2)+y^(2))-(2(y//x)^(4))/4+c=0` |
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| 44. |
`f(x)=2x^3-3x^2-x+3/2` then which of the following is/are incorrect? `int_(1/8)^(7/8)f(f(x))dx=3/4`A. `int(1//8)^(7//8) f(c(x))dx=3/4`B. `y=(f(x))^(3//5)` is not differentiabble at exactly 1 pointC. `y=[f(x)+lamda], (lamda in` prime number) is discontinuous at 3 point if `x in [0,1]`D. `f(f(x))=0` has minimum 6 real roots |
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Answer» Correct Answer - A::B::C `I=int_(1//8)^(7//8)f(f(x))dx`……(1) `I=int_(1//8)^(7//8)f(f(1-x))dx=int_(1//8)^(7//8)f(1-f(x))dx`…..(2) So `2I=3/4` |
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| 45. |
The rain soon worked its way ________ the roof of the old cottage. A) over B) in C) by D) through E) round |
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Answer» Correct option is D) through |
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| 46. |
Column 1: real valued function, Column-2: domain of the function, Column 3: range of the function. Match the following Column(s) (where [.] denotes the greatest integer function and {.} denotes fractional part function) Which of the following combination is correct?A. (I)(iv)(P)B. (I)(iv)`(R)`C. (II)(ii)`(R)`D. (III)(i)(S) |
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Answer» Correct Answer - B::C (I) `((3-1)^(3))/3le |x-1|^(3)+|x-3|^(3)ltoo` (II) `u=sin(In((sqrt(4-x^(2)))/(1-x)))+cos(In((sqrt(4-x^(2)))/(1-x)))` `:.0le (sqrt(4-x^(2)))/(1-x) lt oo` `-oo lt In ((sqrt(4-x^(2)))/(1-x))lt oo` So, `-sqrt(2) le u le sqrt(2)` (III) Let `|x+5|=t,g(t) in (0, 1/2]-{1/4}` `g(t)=((t-2))/((t-2)(t+2))` (IV) `thetalecos^(-1)xlepi` `-oo lt In (cos^(-1)x)le In pi lt 2` |
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| 47. |
The Managing Director has asked to see the sales ________ resulting from our recent advertising campaign. A) numbers B) calculations C) amounts D) quantities E) figures |
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Answer» Correct option is E) figures |
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| 48. |
Reply the following questions in one complete sentence each:1. ‘Time is one but its expressions many’. From which source this quotation has been extracted?2. What are the twin paradoxical demands of Indian art?3. Is Indian figurative art portraiture of the specific?4. Say whether the following statements are True or False:(i) Indian painting is personal in essence.(ii) Impersonality and intensity are the twin paradoxical demands of Indian art which is life bound and beyond it. |
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Answer» 1. The quotation ‘Time is one but its expressions many’ has been extracted from the Rig Veda. 2. Impersonality and intensity are the twin paradoxical demands of Indian art. 3. No, Indian figurative art is not a portraiture of the specific. 4 (i) False (ii) True |
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| 49. |
Describe the agency functions of commercial banks? |
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Answer» Banks act as agents of customers and provide certain services: 1. Transfer of Funds: Banks issue demand drafts, bankers’ cheques, travelers’ cheques, etc. and help in transfer of funds from one place to another. 2. Periodic Payment of Premiums, Rent, etc: After instruction from the customers, banks undertake the monthly payment of insurance premium, rent, telephone bills, etc., from the accounts of customers. 3. Collection and Payment of Cheques: On behalf of customers, bank collect the cheques deposited into the accounts of customers from other banks and deposit cash in the customers’ accounts. 4. Acting as Executors, Trustees and Attorneys: Banks act as executors of will of the customers and implement their will after their death. 5. Conduct Share Market transactions: A Demat account should be opened with Depository Participant and that demat account should be linked with savings bank account by the customer. 6. Preparation of Income Tax Return: Banks prepare the annual income tax return on behalf of the customers and provide income tax related advice to them. . 7. Dealing in Foreign Exchange: Banks buy and sell foreign currencies on behalf of customers. 8. Acting as Correspondent: Banks act as correspondent of customers and receive travel, ticket, passport, etc. |
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| 50. |
What is meant by consumers co-operative store? Explain its merits in brief? |
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Answer» A consumers co-operative store is a retail organisation owned, managed and controlled by the consumers themselves to obtain products of daily use at reasonable low prices. Its objective is to eliminate profits to middlemen by establishing a direct contact with the manufacturers. People belonging to middle and low income groups, at least 25 persons have to come together to form a voluntary association and get it registered under the Cooperative Societies Act. The capital of a co-operative store is raised by issuing shares to members. The management of the store is democratic and entrusted to an elected managing committee, where “one man one vote” is the rule. The co – operative stores are very famous in Tamil Nadu. For example, Kamadhenu and Chinthamani co-operative supermarkets in Chennai, Karpagam in Vellore, etc. |
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