1. Let $$f(x)\neq0$$ for any 'x' be a function satisfying $$f(x)f(y) = f(xy)$$ for all real x, y. If $$f(2) = 4$$, then what is the value of $$f(\frac{1}{2})$$?






Write Comment

Type in
(Press Ctrl+g to toggle between English and the chosen language)

Comments

Tags
Show Similar Question And Answers
QA->Any industry located in a rural area which produces any goods or renders any service with or without the use of power and in which the fixed capital investment per head of a worker does not exceed one lakh rupees is known as:....
QA->Real Madrid midfielder who has been named 2014 Sportsman of the Year by the AIPS (International Association of Latin American Sports Journalists) for his performances with Colombia in the 2014 World Cup and with Real Madrid?....
QA->Which function is used to find the highest value in MS.Excel?....
QA->A cyclist goes 40 km towards East and then turning to right he goes 40 km. Again he turn to his left and goes 20 km. After this he turns to his left and goes 40 km, then again turns right and goes 10km. How far is he from his starting point?....
QA->Jose travels 7 km to the north.Then again he turns to the right and walks 3 km.Then again he turns to his right and moves 7 km forward.How many kilometers away is he from the starting point?....
MCQ->Let $$f(x)\neq0$$ for any 'x' be a function satisfying $$f(x)f(y) = f(xy)$$ for all real x, y. If $$f(2) = 4$$, then what is the value of $$f(\frac{1}{2})$$?....
MCQ-> The English alphabet is divided into five groups. Each group starts with the vowel and the consonants immediately following that vowel and the consonants immediately following that vowel are included in that group. Thus, the letters A, B, C, D will be in the first group, the letters E, F, G, H will be in the second group and so on. The value of the first group is fixed as 10, the second group as 20 and so on. The value of the last group is fixed as 50. In a group, the value of each letter will be the value of that group. To calculate the value of a word, you should give the same value of each of the letters as the value of the group to which a particular letter belongs and then add all the letters of the word: If all the letters in the word belong to one group only, then the value of that word will be equal to the product of the number of letters in the word and the value of the group to which the letters belong. However, if the letters of the words belong to different groups, then first write the value of all the letters. The value of the word would be equal to the sum of the value of the first letter and double the sum of the values of the remaining letters.For Example : The value of word ‘CAB’ will be equal to 10 + 10 + 10 = 30, because all the three letters (the first letter and the remaining two) belong to the first group and so the value of each letter is 10. The value of letter BUT = $$10 + 2 \times 40 + 2 \times 50 = 190$$ because the value of first letter B is 10, the value of T = 2 $$\times$$ 40 (T belongs to the fourth group) and the value of U = 2 $$\times$$ 50 (U belongs to the fifth group). Now calculate the value of each word given in questions 161 to 165 :AGE
 ....
MCQ-> Analyse the following transcript (from the movie Matrix) and provide an appropriate answer for the questions that follow: Neo: Morpheus, what's happened to me? What is this place? Morpheus: More important than what is when. Neo: When? Morpheus: You believe it's the year 1999 when in fact it's closer to 2199. I can't tell you exactly what year it is because we honestly don't know.There's nothing I can say that will explain it for you, Neo. Come with me. See for yourself. This is my ship, the Nebuchadnezzar. It's a hovercraft. This is the main deck. This is the core where we broadcast our pirate signal and hack into the Matrix. Most of my crew you already know. (Next Scene: Construct) Morpheus: This is the construct. It's our loading programme. We can load anything from clothing, to equipment, weapons, training simulations, anything we need. Neo: Right now we're inside a computer programme? Morpheus: Is it really so hard to believe? Your clothes are different. The plugs in your arms and head are gone. Your hair is changed. Your appearance now is what we call residual self image. It is the mental projection of your digital self. Neo: This...this isn't real? Morpheus: What is real? How do you define real? If you're talking about what you can feel, what you can smell, what you can taste and see, then real is simply electrical signals interpreted by your brain. ...This is the world that you know. The world as it was at the end of the twentieth century. It exists now only as part of a neural-interactive simulation that we call the Matrix. You've been living in a dream world, Neo. .. .This is the world as it exists today. Welcome to the Desert of the Real. We have only bits and pieces of information but what we know for certain is that at some point in the early twenty-first century all of mankind was united in celebration. We marvelled at our own magnificence as we gave birth to AI. Neo: AI? You mean artificial intelligence? Morpheus: A singular consciousness that spawned an entire race of machines. We don't know who struck first, us or them. But we know that it was us that scorched the sky. At the time they were dependent on solar power and it was believed that they would be unable to survive without an energy source as abundant as the sun. Throughout human history, we have been dependent on machines to survive. Fate it seems is not without a sense of irony. The human body generates more bio-electricity than a 120-volt battery and over 25,000 BTU's of body heat. Combined with a form of fusion the machines have found all the energy they would ever need. There are fields, endless fields, where human beings are no longer born, we are grown. For the longest time I wouldn't believe it, and then I saw the fields with my own eyes. Watch them liquefy the dead so they could be fed intravenously to the living. And standing there, facing the pure horrifying precision, I came to realize the obviousness of the truth. What is the Matrix? Control. The Matrix is a computer generated dream world built to keep us under control in order to change a human being into this. Neo: No. I don't believe it. It's not possible. Morpheus: I didn't say it would be easy, Neo. I just said it would be the truth. Neo: Stop. Let me out. Let me out. I want out.The innate factor responsible for the status of human beings in later part of 22nd century is
 ....
MCQ-> Read the following passage carefully and answer the questions given below it. Certain words/phrases have been printed in bold to help you locate them while answering some of the questions. Once upon a time there was a King of Benaras who was very rich. He had many servants and a beautiful palace with wonderful gardens; he had chariots and a stable full of horses. But his most prized possession was a magnificent elephant called Mahaghiri. She was as tall as two men, and her skin was of the colour of thunder clouds. She had large flapping ears and small, bright eyes and she was very clever. Mahaghiri lived in her own special elephant house and had her own keeper, Rajinder. The King would often visit Mahaghiri to take her some special tit-bit to eat and check that Rajinder was looking after her properly. But Rajinder needed no reminding, for he also loved the elephant dearly, and trusted her completely. Every morning, he would take her down to the river for her bath. Then he would bring her freshly cut grass, leaves and the finest fruits he could find in the market for her breakfast. During the day, he would talk to her and, in the evening, he would play his flute to send her to sleep. One morning, Rajinder arrived as usual with fruit for Mahaghiri’s breakfast. Suddenly, before he knew what was happening, she picked him up with her trunk and threw him out of the stall, breaking his arm. She began to stamp on the ground and trumpet so loudly that it took several strong men all morning to bind her with ropes and chains, When the king heard about what had happened, he was very upset and sent for the doctor to help Rajinder. Then he called for his chief minister. “You must go and see Mahaghiri at once,” he said. “She used to be so kind and gentle, but this morning she threw her keeper out of her stall. I can’t understand it. She must be ill or in pain. Spare no expense in finding a cure.” So the chief minister went to see Mahaghiri. who was still bound firmly with ropes. First he looked at her eyes – they were as clear and bright as usual. Then he felt behind her ears – her temperature was normal. Next he listened to her heart that was fine too – and checked all over for cuts or sores. He could find nothing wrong with her. “Strange,” he thought. “I can find no explanation for her bad behaviour.”But then his eye was caught by something gleaming in the straw. It was a sharp, curved knife, like the ones used by robbers. Could there be a connection? That night, when everyone else had gone to bed, the chief minister returned to the elephant house. There, in the stall next to Mahaghiri’s, sat a band of robbers. “Tonight we’ll burgle the palace,” said the chief. “First, we’ll make a hole in the wall, then we’ll steal the treasure. “But what about the guards?” someone asked. “Don’t tell me you’re still afraid to kill! When will you learn to be a real robber?” From the shadows, the minister could see the elephant, her ears pinned back, listening to every hateful and violent word.”Just as I suspected,” thought the minister. Then he slipped out, bolted the door on the outside so the robbers could not escape, and went immediately to the king.”Your majesty,” he said, “I think I have found the cause of your elephant’s bad behaviour.” As soon as the king heard what the minister had to say, he sent for his guards and had the robbers arrested. “But what about the elephant? How can she be cured?’ he asked. “Well, your majesty, if Mahaghiri became dangerous through being.in the company of those wicked robbers, perhaps she could be cured by being in the company of good people.” “What a brilliant idea!” exclaimed the king. “Let us invite the friendliest, happiest and kindest people in the city to meet in the stall next to the elephant.” “Mahaghiri, the king’s most prized elephant, has been in bad company and has become violent and dangerous,” the minister told his friends. “Will you help her to become her old self again?””Of course,” they replied. “What do you want us to do?” “Just meet in the elephant house every day for the next week. Let her hear how kindly and thoughtfully you speak to each other, and how helpful you are.” So the minister’s friends met in the elephant house as planned. They talked together and enjoyed each other’s company. Sometimes they brought cakes and sweets to share; sometimes their children came and played happily in the straw. All the while, Mahaghiri watched and listened. Gradually, she became calmer. “I think it’s working,” said the minister. “Soon we’ll be able to remove the ropes.” Everyone felt a bit nervous when the day came for Mahaghiri to be untied. The king ordered everyone to wait outside as, very carefully, brave Rajinder began to undo the ropes around her ears and trunk. Next he removed the ropes holding her head. Finally, he loosened the thick chains holding her great feet. Everyone held their breath. What if she was still wild?Mahaghiri looked round shuffling her feet to stretch them. Then she slowly curled her trunk around her keeper’s waist and lifted him high into the air before placing him gently on her back. A great cheer went up. The king was delighted. “Let’s have a picnic to celebrate,” he announced. “Mahaghiri can come too.” What a great afternoon they all had! Mahaghiri bathed in the lake and gave the children rides. It seemed as though she had now become kinder, gentler and even more trustworthy than ever. But Rajinder never forgot what had happened and was always careful to set Mahaghiri a good example by being kind and friendly himself.As per the context of passage, what was the most prized possession of the king of Benaras ?
 ....
MCQ-> Read the following passage carefully and answer the given questions. Certain words/phrases have been given in bold to help you locate them while answering some of the questions. Virtual currencies are growing in popularity. While the collective value of virtual currencies is still a fraction of the total U.S. Dollars in circulation, the use of virtual currencies as a payment mechanism of transfer of value is gaining momentum. Additionally, the number of entities (issuers, exchangers and intermediaries, to name just a few) that engage in virtual currency transactions is increasing and these entities often need access to traditional banking services.Virtual currencies are digital representations of value that function as a medium of exchange, a unit of account and a store of value (buy now redeem later policy). In many cases, virtual currencies are “convertible” currencies; they are not legal lenders, but they have an equivalent value in real currency. Despite what seems to be a tremendous interest in virtual currencies their overall value is still extremely small relative to other payment mechanisms, such as cash, cheques and credit and debit cards. The virtual currency landscape includes many participants from the merchant that accepts the virtual currency, to the intermediary that exchanges the virtual currency on behalf of the merchant, to the exchange that actually converts the virtual currency to the real currency to the electronic wallet provider that holds the virtual currency on behalf of its owner. Accordingly, opportunities abound for community banks to provide services to entities engaged in virtual currency activities. Eventually, it is also possible that community banks may find themselves holding virtual currency on their own balance sheets.Launched in 2009, Silicon is currently the largest and most popular virtual currency. However, many other virtual currencies have emerged over the past few years, such as Litecoin, Dogecoin, Peercoin and these provide even more anonymity to its users than that provided by Bitcoin.As the virtual currency landscape is fraught with dangers, what important risks should community bankers consider?The most significant is compliance risk- a subset of legal risk. Specifically, virtual currency administrators or legal exchangers may present risks similar to other money transmitters, as well in presenting their own unique risks. Quite simply, many users of virtual currencies do so because of the perceptions that transactions conaucted using virtual currencies are anonymous. The less-than transparent nature of the transactions, :nay make it more difficult for a inancial institution to truly know and understand the activities of its customer and whether the customer’s activities are legal. Therefore, these transactions may present a higher risk for banks and require additional due diligence and monitoring.Another important risk for community banks to consider is credit risk. How should a community bank respond if a borrower wants to specifically post Bitcoin or another virtual currency as collateral for a loan? For many, virtual currencies are simply another form of cash, so it is not hard to analyse that bankers will face such a scenario at some point. In this case, caution is appropriate. Bankers should carefully weigh the pros and cons of extending any loan secured by Bitcoin or other virtual currencies (in whole or in part), or where the source of loan repayment is in some way dependent on the virtual currency. For one, the value of Bitcoin in particular has been volatile. Then, the collateral value could fluctuate widely from day-to-day. Bankers also need to think about control over the account. ‘How does the banker control access to a virtual wallet, and how can it control the borrower’s access to the virtual wallet? In the event of a loan default, the bank would need to take control of the virtual currency. This would require access to the borrower’s virtual wallet and private key. All of this suggests that the loan agreement needs to be carefully crafted and that additional steps need to be taken to ensure the bank has a perfected lift on the virtual currency.Virtual currencies bring with them, both opportunities and challenges, and they are likely here to stay. Although, it is too early to determine just how prevalent they will be in the coming years, we too expect that the virtual participants in the virtual currency ecosystem will increasingly intersect with the banking industry.Which of the following is the meaning of the phrase ‘fraught with dangers’ as mentioned in the passage?
 ....
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use
DMCA.com Protection Status Powered By:Omega Web Solutions
© 2002-2017 Omega Education PVT LTD...Privacy | Terms And Conditions