## Number System ques

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• 1. find all the numbers of the form 517XY that are divisible by 89 [P27Q4] I am facing problem since 89 is a prime number and i can
Message 1 of 4 , Oct 23, 2009
1. find all the numbers of the form 517XY that are divisible by
89 [P27Q4]
I am facing problem since 89 is a prime number and i can factorize
89 to apply divisibility rules.

do mention if you have any other method to solve these ques.

2. The square of a number greater that 1000 that is not divisible by
three, when divided by three, leaves a remainder
of
[P39Q52]
a) 1 always b) 2 always c) 0 d) either 1 or 2
e) cannot be said
• u needn go by divisiblity rules . since number of the form 517xy just subs 00 for x&y and u get a reminder of 80 . so 51709 is div by 89 and 51709+89=51798
Message 2 of 4 , Oct 30, 2009
u needn go by divisiblity rules . since number of the form 517xy just subs 00 for x&y and u get a reminder of 80 . so 51709 is div by 89 and 51709+89=51798 also divi by 89. so ans s two forms 51709 and 51798

2q) since when divided by three ermin is always 1 or 2 even if its a sqr of tat num ans is either 1 or 2

--- In ascent4cat@yahoogroups.com, "vikramjeet_1986" <vikramjeet_1986@...> wrote:
>
>
> 1. find all the numbers of the form 517XY that are divisible by
> 89 [P27Q4]
> I am facing problem since 89 is a prime number and i can factorize
> 89 to apply divisibility rules.
>
> do mention if you have any other method to solve these ques.
>
> 2. The square of a number greater that 1000 that is not divisible by
> three, when divided by three, leaves a remainder
> of
> [P39Q52]
> a) 1 always b) 2 always c) 0 d) either 1 or 2
> e) cannot be said
>
• 1- The only possiblities for xy are 09 and 98 If u find out the remainder when 517 is divided by 9,its 72.The number would now take the form 72x .now the
Message 3 of 4 , Nov 1, 2009
 1-> The only possiblities for xy are 09 and 98 If u find out the remainder when 517 is divided by 9,its 72.The number would now take the form "72x" .now the closest multiple of 89 is 712. Lets take x to be 0 then y has to be 9 so that the number is perfectly divisible by 89.similarly if u try giving values to from 1 to 9,u would c that when x is 9,y has to be 8...for no other values of x the remaider would be 0so only two such number exist --- On Sat, 24/10/09, vikramjeet_1986 wrote:From: vikramjeet_1986 Subject: [2IIM CAT Prep] Number System quesTo: ascent4cat@yahoogroups.comDate: Saturday, 24 October, 2009, 12:11 PM 1. find all the numbers of the form 517XY that are divisible by 89 [P27Q4] I am facing problem since 89 is a prime number and i can factorize 89 to apply divisibility rules. do mention if you have any other method to solve these ques. 2. The square of a number greater that 1000 that is not divisible by three, when divided by three, leaves a remainder of [P39Q52] a) 1 always b) 2 always c) 0 d) either 1 or 2 e) cannot be said

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• Hi, 1) XY should be of the form ( 89k + 33 ); k =0,1,12,3,4,5....... 2) Remainder is always 1. Rgds, Bishweshwar ________________________________ From:
Message 4 of 4 , Nov 12, 2009
Hi,

1) XY should be of the form ( 89k + 33 ); k =0,1,12,3,4,5.......
2) Remainder is always 1.

Rgds,
Bishweshwar

From: vikramjeet_1986 <vikramjeet_1986@...>
To: ascent4cat@yahoogroups.com
Sent: Sat, October 24, 2009 12:11:57 PM
Subject: [2IIM CAT Prep] Number System ques

1. find all the numbers of the form 517XY that are divisible by
89 [P27Q4]
I am facing problem since 89 is a prime number and i can factorize
89 to apply divisibility rules.

do mention if you have any other method to solve these ques.

2. The square of a number greater that 1000 that is not divisible by
three, when divided by three, leaves a remainder
of
[P39Q52]
a) 1 always b) 2 always c) 0 d) either 1 or 2
e) cannot be said

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