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Question Number 45166 by peter frank last updated on 09/Oct/18

	Answered by MrW3 last updated on 10/Oct/18

	$N = n u m b e r o f s t u d e n t s$ $w h e n t h e s t u d e n t s a r e d i v i d e d i n t o$ $12 g r o u p s, t h e l a s t g r o u p h a s 5 s t u d e n t s,$ $i . e . t h e o t h e r 11 g r o u p s h a v e x s t u d e n t s$ $w i t h x \neq 5 .$ $N = 11 x + 5 w i t h x \neq 5$ $s i m i l a r l y$ $N = 8 y + 5 w i t h y \neq 5$ $s i n c e t h e L C M o f 11 a n d 8 i s 88,$ $\Rightarrow N = 88 k + 5 w i t h k \in N$ $i . e . t h e c l a s s h a s 93 s t u d e n t s . a n d$ $t h e c l a s s r o o m i s v e r y l a r g e .$ $T h e q u e s t i o n m a y m e a n s o m e t h i n g$ $d i f f e r e n t, b u t t h e l a n g u a g e g i v e s$ $t h i s r e s u l t .$
	Commented by peter frank last updated on 10/Oct/18

	$thank you sir$
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