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(i) The time taken by a train to cover a fixed distance and the speed of the train. (ii) The distance travelled by CNG bus and the amount of CNG used. (iii) The number of people working and the time to complete a given work. (iv) Income tax and the income. (v) Distance travelled by an auto-rickshaw and time
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A packet of sweets was distributed among 10 children and each of them received 4 sweets. If it is distributed among 8 children, how many sweets will each child
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Here is a key board of a harmonium: (a) Find the ratio of white keys to black keys on the keyboard. (b) What is the ratio of black keys to all keys on the given keyboard. (c) This pattern of keys is repeated on larger keyboard. How many black keys would you expect to find on a keyboard with 14 such
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Below are the drawings of cross sections of two different pipes used to fill swimming pools. Figure A is a combination of 2 pipes each having a radius of 8 cm. Figure B is a pipe having a radius of 15 cm. If the force of the flow of water coming out of the pipes is the same in both the cases, which will fill the swimming pool faster?
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The ratio of the radius and height of a cylinder is 2:3. If its volume is 12,936 `cm^3`, find the total surface area of the
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Perform the following divisions: `(ax^3 – bx^2 + cx) -: (–
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The area of a square is given by `4x^2 + 12xy + 9y^2`. Find the side of the
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The curved surface area of a cylinder is `2pi (y^2 – 7y + 12)` and its radius is (y – 3). Find the height of the cylinder (C.S.A. of cylinder
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Very small numbers can be expressed in standard form using positive
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`3^5 -: 3^–6` can be simplified as
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To add the numbers given in standard form, we first convert them into numbers with __
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The standard form for 0.000000008 is
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Large numbers can be expressed in the standard form by using positive
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Solve the following:(i) `100^(–10)` (ii) `2^(–2) xx 2^(–3)` (iii) `(1/2)^(-2) -:
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By what number should `((-3)/2)^(-3)` be divided so that the quotient may be `(4/27)^(-2)`
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An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop. So, she will be at `1/2` after one hop, `3/4` after two hops, and so on. (a) Make a table showing the insect’s location for the first 10
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Fill in the blanks
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A particular star is at a distance of about `8.1 xx 10^13` km from the Earth. Assuring that light travels at `3 xx 10^8` m per second, find how long does light takes from that star to reach the
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Arnav buys a book costing Rs 600. If the rate of sales tax is 7%, then the total amount payable by him is Rs
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Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction he has
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