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The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor,if the cost per `m^2` is Rs
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Jan 17, 2022
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There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to
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Jan 17, 2022
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Simplify and express the result in power notation with positive exponent. `(3^(– 7) ÷ 3^(– 10)) xx 3^(– 5)`
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Factorise the following using the identity `a^2 – b^2 = (a + b) (a – b)`. `(a – b)^2 – (b –
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If `a^2 + b^2 = 74` and ab = 35, then find a +
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Long back in ancient times, a farmer saved the life of a king’s daughter. The king decided to reward the farmer with whatever he wished. The farmer, who was a chess champion, made an unusal request: “I would like you to place 1 rupee on the first square of my chessboard, 2 rupees on the second square, 4 on the third square, 8 on the fourth square, and so on, until you have covered all 64 squares. Each square should have twice as many rupees as the previous square.” The king thought this to be too less and asked the
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When a die is thrown, list the outcomes of an event of getting(i) (a) a prime number (b) not a prime number. (c) a number greater than 5 (d) a number not greater than
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Without adding, find the sum. 1 + 3 + 5 + 7 + 9 + I1 + 13 + 15 + 17
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Three consecutive integers add up to 51. What are these
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The sum of three consecutive multiples of 8 is 888. Find the
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Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present
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The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present
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Find the number of sides of a regular polygon whose each exterior angle has a measure of
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Express the following numbers in usual form. `3 xx 10^(–
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Express the following numbers in usual form. `4.5 xx
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One Fermi is equal to `10^(–15)` metre. The radius of a proton is 1.3 Fermis. Write the radius of a proton in metres in standard
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The value of a car, bought for Rs 4,40,000 depreciates each year by 10% of its value at the beginning of that year. So its value becomes Rs 3,08,000 after three
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The per cent of pure gold in 14 carat gold is about 58.3%. A 14 carat gold ring weighs 7.6 grams. How many grams of pure gold are in the
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If xy = 10, then x and y vary ______ with each
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chapter13
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The mass of an aluminium rod varies directly with its length. If a 16 cm long rod has a mass of 192 g, find the length of the rod whose mass is 105
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