13 -14-25 - 12-23 of 34 - 34 of 45 - -

13 +14[25 12]23 of 34 34 of 45=13+14[4 510]23*34 34*45=13 14012 35=37120 110= 3712 ...

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Byju's Answer

Standard VIII

Mathematics

Numbers in General Form

13 +14[25 - 1...

Question

$\frac{\frac{1}{3} + \frac{1}{4} [\frac{2}{5} - \frac{1}{2}]}{\frac{2}{3} o f \frac{3}{4} - \frac{3}{4} o f \frac{4}{5}}$ = ?

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Solution

$\frac{\frac{1}{3} + \frac{1}{4} [\frac{2}{5} - \frac{1}{2}]}{\frac{2}{3} o f \frac{3}{4} - \frac{3}{4} o f \frac{4}{5}} = \frac{\frac{1}{3} + \frac{1}{4} [\frac{4 - 5}{10}]}{\frac{2}{3} * \frac{3}{4} - \frac{3}{4} * \frac{4}{5}} = \frac{\frac{1}{3} - \frac{1}{40}}{\frac{1}{2} - \frac{3}{5}} = \frac{\frac{37}{120}}{\frac{- 1}{10}} = \frac{- 37}{12}$

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Q. Simplify:

\frac{\frac{1}{3} + \frac{3}{4} (\frac{2}{5} - \frac{1}{3})}{1 \frac{2}{3} o f \frac{3}{4} - \frac{1}{4} o f \frac{4}{5}}

Find the mode from the given data.

1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2 , 3, 4, 1, 2, 3, 4, 1 ,2 , 3, 4, 5, 5, 1, 5, 5, 5, 3, 5, 1, 2, 4, 5, 6, 1, 2, 4, 2, 1

(1) 4² + 2⁴− 3²

(2) 3³ − 2²+ 2⁰

(3) 5³ − 2² + 4⁰

(4) 6¹ + 5⁰ − 4¹

(5) (−2)² + 1² − 2²

Gopi spun the spinner 30 times and got the following results:

2, 1, 4, 2, 4, 5, 1, 4, 1, 5, 3, 1, 4, 2, 3, 1, 5, 4, 4, 2, 3, 3, 5, 4, 2, 2, 5, 3, 1, 4

What is the frequency of 4?

lim n \to \infty \frac{(1^{4} + 2^{4} + 3^{4} + . . . . + (2 n)^{4}) (1^{3 / 2} + 2^{3 / 2} + . . . . + n^{3 / 2})}{(1^{5} + 2^{5} + . . . . + n^{5}) (1^{1 / 2} + 2^{1 / 2} + . . . + n^{1 / 2})}

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13+14[25−12]23of34−34of45 = ?

13+14[25−12]23of34−34of45=13+14[4−510]23∗34−34∗45=13−14012−35=37120−110=−3712

$\frac{\frac{1}{3} + \frac{1}{4} [\frac{2}{5} - \frac{1}{2}]}{\frac{2}{3} o f \frac{3}{4} - \frac{3}{4} o f \frac{4}{5}}$ = ?