find all 6 digit numbers which are not only palindrome but also divisible by 495.


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Question Number 83910 by redmiiuser last updated on 07/Mar/20

$find all 6 digit numbers which are not$ $only palindrome but also divisible by 495 .$
Commented by redmiiuser last updated on 08/Mar/20

$CAN ANYONE$ $ANSWER THIS$ $QUESTION .$
	Answered by Kunal12588 last updated on 08/Mar/20

	$t h e r e a r e 11 s u c h n u m b e r s$ $504405, 513315, 522225, 531135, 540045,$ $549945, 558855, 567765, 576675, 585585,$ $594495$
	Commented by redmiiuser last updated on 08/Mar/20

	$G R E A T$
	Commented by naka3546 last updated on 08/Mar/20

	$S h o w y o u r w o r k i n g s, p l e a s e .$
	Commented by Kunal12588 last updated on 08/Mar/20

	$i {d o n}^{'} t t h i n k i c a n f i n d i t w i t h a n y m e t h o d .$ $I j u s t u s e d t h e b r u t e f o r c e m e t h o d .$
	Answered by redmiiuser last updated on 08/Mar/20

	$t h e r e i s a n e a s y w a y$ $w e k n o w$ $495 = 9 \times 5 \times 11$ $a s t h e n u m b e r m u s t$ $b e d i v i s i b l e b y 495 h e n c e$ $s o b y 9 a n d 5 a n d 11 .$ $t o b e d i v i s i b l e b y 5$ $t h e l a s t d i g h t m u s t b e$ $5 a n d n o t 0 .$ $a g a i n f o r 9 t h e s u m o f$ $t h e d i g h t s m u s t b e d i v i s i 6 l e$ $b y 9 .$ $n o w f o r 11 l e t s t a k e$ $a n e x a m p l e .$ $594495$ $h e r e t h e n u m b e r i s$ $d i v i s i b l e b y 5 a n d 9 .$ $b u t t h e n u m b e r i s d i v i s i b l e$ $b y 11 o n a p p l y i n g t h e$ $d i v i s i b l i t y t r i c k i g e t t h i s .$ $a g a i n i n 495594$ $t h e n u m b e r i s d i v i s i b l e b y$ $11 a n d 5 a n d 9 .$ $b u t t h e c h a n g e i s$ $t h e t e r m i n a l n u m b e r s$ $a r e d e c r e a s e d b y 1$ $w h i l e m i d d l e o n e s$ $a r e i n c r e a s e d b y 1 .$ $h e n c e b y a p p l y i n g$ $t h i s c o n c e p t w e c a n s o l v e$
	Commented by redmiiuser last updated on 08/Mar/20

	$i a m s o r r y i t m u s t b e$ $549945 n o t 495594$
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