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Deveshi has a total of Rs 590 as currency notes in the denominations of Rs 50, Rs 20 and Rs 10. The ratio of the number of Rs 50 notes and Rs 20 notes is 3:5. If she has a total of 25 notes, how many notes of each denomination she
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If you subtract `1/2` from a number and multiply the result by `1/2`, you get `1/8`. What isthe
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The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class
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Solve `5x + 7/2 =
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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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The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)
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Construct a quadrilateral ABCD, where AB = 4 cm, BC = 5 cm, CD = 6.5 cm and ∠B = 105° and ∠C =
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Is it possible to construct a rhombus ABCD where AC = 6 cm and BD = 7 cm? Justify your
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Find the cube root of each of the following numbers by prime factorisation method.
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Classify the following polynomials as monomials, binomials, trinomials. Whichpolynomials do not fit in any of these three categories?`x + y, 1000, x + x^2 + x^3 + x^4, 7 + y + 5x, 2y – 3y^2, 2y – 3y^2 + 4y^3, 5x – 4y + 3xy, 4z – 15z^2, ab + bc + cd + da, pqr, p^2q + pq^2, 2p +
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Complete the table of products. First monomial → Second monomial ↓ `2x` `-5y` `3x^2` `-4xy` `7x^2 y` `–9x^2 y^2` `2x ` `4x^2` . . . . . . . . . . . . . . . `–5y` . . . . . . `–15x^2 y` . . . . . . . . . `3x^2` . . . . . . . . . . . . . . . `– 4xy` . . . . . . . . . . . . .
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Obtain the product of a, 2b, 3c, 6abc
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Multiply (x – y) and (3x +
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Simplify. `(x + y)(2x + y) + (x + 2y)(x – y)`
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Use the Identity `(x + a) (x + b) = x^2 + (a + b) x + ab` to find the following `501 xx 502`
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Simplify. `(ab + bc)^2 – 2ab^2c`
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Show that. `(3x + 7)^2 – 84x = (3x –
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Using identities, evaluate. `78 xx 82`
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Using `(x + a) (x + b) = x^2 + (a + b) x + ab`, find `103 xx 104`
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Following are the car parking charges near a railway station upto 4 hours Rs 60 8 hours Rs 100 12 hours Rs 140 24 hours Rs 180Check if the parking charges are in direct proportion to the parking
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