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Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression `3^(–t)`. (a) What fraction of substance remains after 7 half-lives? (b) After how many half-lives will the fraction be `1/243` of the
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Stretching Machine Suppose you have a stretching machine which could stretch almost anything. For example, if you put a 5 metre stick into a `(xx 4)` stretching machine (as shown below), you get a 20 metre stick. Now if you put 10 cm carrot into a `(xx 4)` machine, how long will it be when it comes out?
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Sanchay put a 1cm stick of gum through a `(1 xx 3^(–2))` machine. How long was the stick when it came
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Find a single repeater machine that will do the same work as each hook-up. (a) (b) (c) (d) (e) (f)
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Supply the missing information for each diagram. (a) (b) (c) (d)
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By what number should `(–15)^(–1)` be divided so that the quotient may be equal to
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If a = – 1, b = 2, then find the value of the following: (1) `a^b + b^a` (2) `a^b – b^a` (3) `a^b xx b^2` (4) `a^b ¸
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Express each of the following in exponential form: (1) `(-1296)/14641` (2) `(-125/343)` (3) `400/3969` (4)
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By selling 50 pens, a shopkeeper lost the amount equal to the selling price of 10 pens. His loss per cent is
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After allowing a discount of 15% on the marked price of an article, it is sold for Rs 680. The marked price of the article is Rs
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If marked price of an article is Rs 1,200 and the discount is 12% then the selling price of the article
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A bought a tape recorder for Rs 8,000 and sold it to B. B in turn sold it to C, each earning a profit of 20%. Which of the following is
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Increase of a number from 150 to 162 is equal to increase of _________ per
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Discount = _________ –
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Percentages are _________ to fractions with _________ equal to
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The compound interest on Rs 8,000 for one year at 16% p.a. compounded half yearly is _________, given that `(1.08)^2 =
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The cost of a tape-recorder is Rs 10,800 inclusive of sales tax charged at 8%. The price of the tape-recorder before sales tax was charged is
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2500 is greater than 500 by
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Compound interest is the interest calculated on the previous year’s
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Three times a number is 200% increase in the number, then one-third of the same number is 200% decrease in the
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