- 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 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 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 0

so only two such number exist--- On

**Sat, 24/10/09, vikramjeet_1986**wrote:*<vikramjeet_1986@...>*

From: vikramjeet_1986 <vikramjeet_1986@...>

Subject: [2IIM CAT Prep] Number System ques

To: ascent4cat@yahoogroups.com

Date: 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

Keep up with people you care about with Yahoo! India Mail. Learn how.- 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