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The thickness of a hollow metallic cylinder is 2 cm. It is 70 cm long with outer radius of 14 cm. Find the volume of the metal used in making the cylinder, assuming that it is open at both the ends. Also find its weight if the metal weighs 8 g per
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Jan 17, 2022
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A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the amount of water in cubic metres that runs into the sea per
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The following expressions are the areas of rectangles. Find the possible lengths and breadths of these rectangles. `x^2 – 6x +
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The following expressions are the areas of rectangles. Find the possible lengths and breadths of these rectangles. `x^2 + 9x +
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The following expressions are the areas of rectangles. Find the possible lengths and breadths of these rectangles. `51x^3y^2z -:
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The following expressions are the areas of rectangles. Find the possible lengths and breadths of these rectangles. `17ab^2c^3 -:
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Factorise the expressions and divide them as directed: `(3x^4 – 1875) -: (3x^2 –
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The radius of a circle is 7ab – 7bc – 14ac. Find the circumference of the circle.
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Verify the following: `(a + b + c) (a^2 + b^2 + c^2 – ab – bc – ca) = a^3 + b^3+ c^3 –
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Find the value of a, if `8a = 35^2 –
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Find the value of a, if `pqa = (3p + q)^2 – (3p –
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Find the value of (i) `(6.25 6.25 –1.75 1.75)/4.5` (ii) `(198 198 –102
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In `2^n`, n is known
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The value of `3^5 -: 3^(–6)`
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The reciprocal of `(2/5)^-1`
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The multiplicative inverse of `(-5/9)^-99`
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If x be any non-zero integer and m, n be negative integers, then `xm xx xn` is equal
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Which of the following is equal to `(-3/4)^(-3)`
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`(-5/7)^(-5)` is equal
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For a non-zero integer x, `x^7 -: x^12` is equal
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