Question

How many numbers between 450 and 460 will leave a remainder when divided by 6?

Answer 1

8 Numbers will leave reminder.....

Answer 2

$Numbers \: between \: 450 \:to \:460 \\= \{ 451,452,453,454,455,456,457,458,459 \}$

$\begin {tabular} { | c | c | }</p><p>\cline {1-2} number & Remainder when divided by 6 \\</p><p>\cline {1-2} 451 & 1 \\</p><p>\cline {1-2} 452 & 2 \\</p><p>\cline {1-2} 453 & 3 \\</p><p>\cline {1-2} 454 & 4 \\</p><p>\cline {1-2} 455 & 5 \\</p><p>\cline {1-2} 456 & 0 \\</p><p>\cline {1-2} 457 & 1 \\</p><p>\cline {1-2} 458 & 2 \\</p><p>\cline {1-2} 459 & 3\\</p><p>\cline {1-2}</p><p>\end {tabular}$

Therefore.,

$\red {Numbers \:between \:450 \:and\: 460}\\\red{ will \:leave\: a\: remainder \:when\: divided}\\\red{ by\: 6}\green {= 0 }$

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