10th Real Numbers test paper 1. 2. 2011 Show that any positive odd integer is of the form 6q + 1‚ or 6q + 3‚ or 6q + 5‚ where q is some integer. An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march? Sol. Hints: Find the HCF of 616 and 32 3. Use Euclid’s division lemma to show that the square of any positive integer is either
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In our country and culture a teacher is still held in great honor and respect. He is considered as a foundation of all knowledge and source of great ideals. He is the torch bearer to the society. Students look up to him with faith and hope to seek his guidance. Teacher can guide the whole generation through his versatile personality. Dr. Radhakrishnan and Ravindranath Tagore are modern examples of great teachers who influenced this country with their philosophy. If good ideas and values are to be
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“Management of any business will be ineffective without the preparation and use of budgets.” All types of budgets are good planning tools and can also serve a very valuable control function. It is necessary to plan and to manage it’s financial performance once the business starts to operate. The term budget is probably well understood by layman. For example‚ people ‘budget’ for their own household expenses even if it is only making a rough comparison between this month’s salary and this month’s
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LUNCH AT THE DRAKE LIBRARY WITH ADAM LAISON‚MICHEAL MENDOZA‚SONGUNIN SHIN‚KHALI SARIKEY AND THE STRINGS ON MARCH 6TH 2013.[Filmaginares‚Tango en skai‚little fugue‚Granada‚Evening at Granada and Homenaje] On the 6th of March 2013‚ the Eastman Quitar Quartet of the Eastman School of Music(University of Rochester)performed at the lobby of the Drake Library at the college at Brockport(Music at Noon). The programme lasted for an hour and a half .It started with the introduction of
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Proposal Tittle: Use of waste water; opportunities and threats Problems: Growing water scarcity threatens economic development‚ sustainable human livelihoods and environment quality. Urban population growth‚ particularly in developing countries‚ places immense pressure on water and land resources. Wastewater is water that has been adversely affected in quality by any anthropogenic influence. It includes liquid waste discharged from domestic houses‚ industrial‚ agricultural or commercial
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The challenges and opportunities of an I.M.F. deal on the Jamaican Productive Sector. “Fragile‚” is how the International Monetary Fund (I.M.F.) has described Jamaica’s current economic situation. It is evident that Jamaica’s economy is severely damaged and faces greater risk of further downturn with the already high unemployment rate‚ low tax revenue‚ high government spending and a ballooning debt of a high 140% (percentage) of Gross Domestic Product (GDP). As such Jamaica’s economy is in dire
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Nala: It is beautiful. But I don’t understand something. You’ve been alive all this time. Why didn’t you come back to Pride Rock? Simba: Well‚ I just needed to... get out on my own. Live my own life. And I did. And it’s great. Nala: We’ve really needed you at home. Simba:No one needs me. Nala: Yes‚ we do! You’re the king. Simba: Nala‚ we’ve been through this. I’m not the king. Scar is. Nala: Simba‚ he let the hyenas take over the Pride Lands. Simba: What? Nala: Everything’s
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Independence Day. Malaysia was born in August 31‚ 1957. It has been 56 years since then. That day was a day that everyone should remember and never forget till they die. Because this day was the day that Malaysia was free from the British. It is to commemorate the independence of the Federation of Malaya from British colonial rule on 31 August 1957. In a wider context‚ it also celebrates the formation of Malaysia. On the 30th of August‚ Malaysia’s then Prime Minister‚ Tunku Abdul Rahman took to
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Introduction A manager needs a specific set of skills to effectively and efficiently accomplish their organization’s objectives and perform the roles expected of them in their organization. One of the skills that a manager will need is the skill of decision making. Decision making can be considered as a cognitive process which results to choosing something from two or more alternatives. A final choice or verdict is produced after every decision making process. The result can be an action or an opinion
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One fine sunny Sunday afternoon‚ Mr and Mrs Lee took their sons‚ Jacky and Dawn‚ to a picturesque seaside to have a picnic. As the seaside was far away from their home‚ Mr Lee drove them there. When they arrived at their destination‚ Jacky and Dawn were too impatient to wait‚ so they took their swimsuits and rushed into the changing room to change. After that‚ they hopped into the sea. In the meantime‚ their parents laid the mat with fried rice‚ two bottles of Sprite‚ a chocolate cake and some
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