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• Hi, Please give solution to the following prob-- A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of  the
Message 1 of 13 , May 17, 2009
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Hi,

Please give solution to the following prob--

A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of  the number from the
number. Raju performed the subtraction but accidently erased one of the digits in the result. The remaining digits were 1, 2, 3, 3, 6,
6, 8, 8, 9( not necessarily in that order) which digit did Raju erase?

1)    9        2)    8
3)    4        4)     Cannot be determined

Rajendra

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• A number subtracted by sum of its digits will always be a multiple of 9. For example take 3 digits - x, y, z. The number is 100x + 10y + z Number subtracted
Message 1 of 13 , Jun 14, 2009
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A number subtracted by sum of its digits will always be a multiple of 9. For example take 3 digits - x, y, z.
The number is 100x + 10y + z
Number subtracted by sum of digits = (100x + 10y + z) - (x+y+z) = 99x+9y (always a multiple of 9)

The sum of digits available is 46. For the number to be divisble by 9, the sum of digits has to be divisble by 9. Hence 8 is the missing digit.

Rahil Sahu
Naval Architect
VEDAM Design & Techinal Consultancy Pvt. Ltd.

Ph - 91-22-6670 9192

From: rajendra sahu <r_s_124@...>
To: ascent4cat@yahoogroups.com
Sent: Sunday, 17 May, 2009 1:04:27 PM
Subject: [2IIM CAT Prep] Quant Question

Hi,

Please give solution to the following prob--

A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of  the number from the
number. Raju performed the subtraction but accidently erased one of the digits in the result. The remaining digits were 1, 2, 3, 3, 6,
6, 8, 8, 9( not necessarily in that order) which digit did Raju erase?

1)    9        2)    8
3)    4        4)     Cannot be determined

Rajendra

Explore and discover exciting holidays and getaways with Yahoo! India Travel Click here!

Explore and discover exciting holidays and getaways with Yahoo! India Travel Click here!
• The answer is 8. Any number subtracted by the sum of its digits will be a multiple of 9. The total of the remaining digits is 46 and hence the closest
Message 1 of 13 , Jun 15, 2009
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The answer is 8. Any number subtracted by the sum of its digits will be a multiple of 9.  The total of the remaining digits is 46 and hence the closest multiple of 9 greater than 46 is 54. So ,54-46 is 8.

From: rajendra sahu <r_s_124@...>
To: ascent4cat@yahoogroups.com
Sent: Sunday, May 17, 2009 1:04:27 PM
Subject: [2IIM CAT Prep] Quant Question

Hi,

Please give solution to the following prob--

A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of  the number from the
number. Raju performed the subtraction but accidently erased one of the digits in the result. The remaining digits were 1, 2, 3, 3, 6,
6, 8, 8, 9( not necessarily in that order) which digit did Raju erase?

1)    9        2)    8
3)    4        4)     Cannot be determined

Rajendra

Explore and discover exciting holidays and getaways with Yahoo! India Travel Click here!

• Message 1 of 13 , Jun 15, 2009
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--- In ascent4cat@yahoogroups.com, rajendra sahu <r_s_124@...> wrote:
>
> Hi,
>
> Please give solution to the following prob--
>
> A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of  the number from the
> number. Raju performed the subtraction but accidently erased one of the digits in the result. The remaining digits were 1, 2, 3, 3, 6,
> 6, 8, 8, 9( not necessarily in that order) which digit did Raju erase?
>
> 1)    9        2)    8
> 3)    4        4)     Cannot be determined
>
> Rajendra
>
> ans-4
> Explore and discover exciting holidays and getaways with Yahoo! India Travel http://in.travel.yahoo.com/
>
• I think the answer is 8 because the because any number subtracted with its sum of its digits will be divisible by 9. correct me if i am wrong. thank u ...
Message 1 of 13 , Jun 23, 2009
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 I think the answer is 8 because the because any number subtracted with its sum of its digits will be divisible by 9. correct me if i am wrong. thank u --- On Sun, 17/5/09, rajendra sahu wrote:From: rajendra sahu Subject: [2IIM CAT Prep] Quant QuestionTo: ascent4cat@yahoogroups.comDate: Sunday, 17 May, 2009, 1:04 PM Hi,   Please give solution to the following prob--   A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of  the number from the number. Raju performed the subtraction but accidently erased one of the digits in the result. The remaining digits were 1, 2, 3, 3, 6, 6, 8, 8, 9( not necessarily in that order) which digit did Raju erase?   1)    9        2)    8 3)    4        4)     Cannot be determined   Rajendra Explore and discover exciting holidays and getaways with Yahoo! India Travel Click here!

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• A: THE NO. WUD BE LIKE THIS 1233668898 (ANY ARRNGEMENT DOESN’T MATTER) BCOZ AS WE KNOW THAT IF U SUBTRACT THE SUM OF NO. FROM THE NO IT WILL BE DIVISIBLE BY
Message 1 of 13 , Aug 11, 2009
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A: THE NO. WUD BE LIKE THIS 1233668898 (ANY ARRNGEMENT DOESN’T MATTER) BCOZ AS WE KNOW THAT IF U SUBTRACT THE SUM OF NO. FROM THE NO IT WILL BE DIVISIBLE BY 9. SO, ANS WUD BE  = OPTION(2)

From: n suresh <suresh_baabuin@...>
To: ascent4cat@yahoogroups.com
Sent: Monday, June 15, 2009 3:14:32 AM
Subject: Re: [2IIM CAT Prep] Quant Question

The answer is 8. Any number subtracted by the sum of its digits will be a multiple of 9.  The total of the remaining digits is 46 and hence the closest multiple of 9 greater than 46 is 54. So ,54-46 is 8.

From: rajendra sahu <r_s_124@yahoo. co.in>
To: ascent4cat@yahoogro ups.com
Sent: Sunday, May 17, 2009 1:04:27 PM
Subject: [2IIM CAT Prep] Quant Question

Hi,

Please give solution to the following prob--

A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of  the number from the
number. Raju performed the subtraction but accidently erased one of the digits in the result. The remaining digits were 1, 2, 3, 3, 6,
6, 8, 8, 9( not necessarily in that order) which digit did Raju erase?

1)    9        2)    8
3)    4        4)     Cannot be determined

Rajendra

Explore and discover exciting holidays and getaways with Yahoo! India Travel Click here!

• Message 1 of 13 , Sep 14, 2009
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--- In ascent4cat@yahoogroups.com, n suresh <suresh_baabuin@...> wrote:
>
> The answer is 8. Any number subtracted by the sum of its digits will be a multiple of 9. The total of the remaining digits is 46 and hence the closest multiple of 9 greater than 46 is 54. So ,54-46 is 8.
>
>
>
>
> ________________________________
> From: rajendra sahu <r_s_124@...>
> To: ascent4cat@yahoogroups.com
> Sent: Sunday, May 17, 2009 1:04:27 PM
> Subject: [2IIM CAT Prep] Quant Question
>
>
>
>
>
> Hi,
>
> Please give solution to the following prob--
>
> A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of the number from the
> number. Raju performed the subtraction but accidently erased one of the digits in the result. The remaining digits were 1, 2, 3, 3, 6,
> 6, 8, 8, 9( not necessarily in that order) which digit did Raju erase?
>
> 1) 9 2) 8
> 3) 4 4) Cannot be determined
>
> Rajendra
> ________________________________
> Explore and discover exciting holidays and getaways with Yahoo! India Travel Click here!
>
Message 1 of 13 , Sep 17, 2009
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1             1                  1                            1

-------  +   ---------     + ---------+. . . . . . . + ----------

(5)(8)      (8)(11)          (11)(14)                 (242)(245)

Regards,

Sriram Kothandaraman

On Tue, Aug 11, 2009 at 11:00 PM, Pooja Bhavsar wrote:

A: THE NO. WUD BE LIKE THIS 1233668898 (ANY ARRNGEMENT DOESN’T MATTER) BCOZ AS WE KNOW THAT IF U SUBTRACT THE SUM OF NO. FROM THE NO IT WILL BE DIVISIBLE BY 9. SO, ANS WUD BE  = OPTION(2)

From: n suresh <suresh_baabuin@...>
To: ascent4cat@yahoogroups.com
Sent: Monday, June 15, 2009 3:14:32 AM
Subject: Re: [2IIM CAT Prep] Quant Question

The answer is 8. Any number subtracted by the sum of its digits will be a multiple of 9.  The total of the remaining digits is 46 and hence the closest multiple of 9 greater than 46 is 54. So ,54-46 is 8.

From: rajendra sahu <r_s_124@yahoo. co.in>
To: ascent4cat@yahoogro ups.com
Sent: Sunday, May 17, 2009 1:04:27 PM
Subject: [2IIM CAT Prep] Quant Question

Hi,

Please give solution to the following prob--

A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of  the number from the
number. Raju performed the subtraction but accidently erased one of the digits in the result. The remaining digits were 1, 2, 3, 3, 6,
6, 8, 8, 9( not necessarily in that order) which digit did Raju erase?

1)    9        2)    8
3)    4        4)     Cannot be determined

Rajendra

Explore and discover exciting holidays and getaways with Yahoo! India Travel Click here!

--
SRIRAM|
SURAT | MOBILE :- 9909902378
• It is of the format: (1/3) [ {(1/5 - 1/8)} + {(1/8) - (1/11)} + ....... + {(1/242) - (1/245)}] = 1/3 * [1/5 - 1/245] = 1/3 * [(240)/(5*245)] = 16/245 --- Ans.
Message 1 of 13 , Sep 19, 2009
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It is of the format:

(1/3) [ {(1/5 - 1/8)} + {(1/8) - (1/11)} + ....... + {(1/242) - (1/245)}]

= 1/3 * [1/5 - 1/245]

= 1/3 * [(240)/(5*245)]

= 16/245 ---> Ans.

On Fri, Sep 18, 2009 at 8:19 AM, sri ram wrote:

1             1                  1                            1

-------  +   ---------     + ---------+. . . . . . . + ----------

(5)(8)      (8)(11)          (11)(14)                 (242)(245)

Regards,

Sriram Kothandaraman

On Tue, Aug 11, 2009 at 11:00 PM, Pooja Bhavsar wrote:

A: THE NO. WUD BE LIKE THIS 1233668898 (ANY ARRNGEMENT DOESN’T MATTER) BCOZ AS WE KNOW THAT IF U SUBTRACT THE SUM OF NO. FROM THE NO IT WILL BE DIVISIBLE BY 9. SO, ANS WUD BE  = OPTION(2)

From: n suresh <suresh_baabuin@...>
To: ascent4cat@yahoogroups.com
Sent: Monday, June 15, 2009 3:14:32 AM
Subject: Re: [2IIM CAT Prep] Quant Question

The answer is 8. Any number subtracted by the sum of its digits will be a multiple of 9.  The total of the remaining digits is 46 and hence the closest multiple of 9 greater than 46 is 54. So ,54-46 is 8.

From: rajendra sahu <r_s_124@yahoo. co.in>
To: ascent4cat@yahoogro ups.com
Sent: Sunday, May 17, 2009 1:04:27 PM
Subject: [2IIM CAT Prep] Quant Question

Hi,

Please give solution to the following prob--

A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of  the number from the
number. Raju performed the subtraction but accidently erased one of the digits in the result. The remaining digits were 1, 2, 3, 3, 6,
6, 8, 8, 9( not necessarily in that order) which digit did Raju erase?

1)    9        2)    8
3)    4        4)     Cannot be determined

Rajendra

Explore and discover exciting holidays and getaways with Yahoo! India Travel Click here!

--
SRIRAM|
SURAT | MOBILE :- 9909902378

--
------------------------------
RAHUL JAIN
rahul_jain@...
Ph.no.: 9328067371

• Dividing the series into partial fractions,=1/3[1/5-1/8+1/8-1/11+....................+1/242-1/245]=1/3[1/5-1/242]=16/245 regards,Siddhesh. ... From: sri ram
Message 1 of 13 , Sep 20, 2009
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 Dividing the series into partial fractions,=1/3[1/5-1/8+1/8-1/11+...................+1/242-1/245]=1/3[1/5-1/242]=16/245regards,Siddhesh. --- On Fri, 18/9/09, sri ram wrote:From: sri ram Subject: Re: [2IIM CAT Prep] Quant QuestionTo: ascent4cat@yahoogroups.comDate: Friday, 18 September, 2009, 8:19 AM   Can anyone please help me out, what would be the answer for the below question(series)… ..       1             1                  1                            1 -------  +   ---------     + ---------+. . . . . . . + ---------- (5)(8)      (8)(11)          (11)(14)                 (242)(245)     Regards, Sriram Kothandaraman On Tue, Aug 11, 2009 at 11:00 PM, Pooja Bhavsar wrote:   A: THE NO. WUD BE LIKE THIS 1233668898 (ANY ARRNGEMENT DOESN’T MATTER) BCOZ AS WE KNOW THAT IF U SUBTRACT THE SUM OF NO. FROM THE NO IT WILL BE DIVISIBLE BY 9. SO, ANS WUD BE  = OPTION(2) From: n suresh To: ascent4cat@yahoogro ups.com Sent: Monday, June 15, 2009 3:14:32 AMSubject: Re: [2IIM CAT Prep] Quant Question  The answer is 8. Any number subtracted by the sum of its digits will be a multiple of 9.  The total of the remaining digits is 46 and hence the closest multiple of 9 greater than 46 is 54. So ,54-46 is 8. From: rajendra sahu To: ascent4cat@yahoogro ups.com Sent: Sunday, May 17, 2009 1:04:27 PMSubject: [2IIM CAT Prep] Quant Question Hi,   Please give solution to the following prob--   A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of  the number from the number. Raju performed the subtraction but accidently erased one of the digits in the result. The remaining digits were 1, 2, 3, 3, 6, 6, 8, 8, 9( not necessarily in that order) which digit did Raju erase?   1)    9        2)    8 3)    4        4)     Cannot be determined   Rajendra Explore and discover exciting holidays and getaways with Yahoo! India Travel Click here! -- SRIRAM|SURAT | MOBILE :- 9909902378

• @siddhesh Can you jus explain hw tat 1/3 comes.. u mean by splittin 1/2.8 into partial ftracctrion ? m not gettin tat properly yar.... ... From: siddhesh surya
Message 1 of 13 , Sep 21, 2009
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@siddhesh
Can you jus explain hw tat 1/3 comes.. u mean by splittin 1/2.8 into partial ftracctrion ? m not gettin tat properly yar....

--- On Mon, 21/9/09, siddhesh surya <surya_siddhesh@...> wrote:

From: siddhesh surya <surya_siddhesh@...>
Subject: Re: [2IIM CAT Prep] Quant Question
To: ascent4cat@yahoogroups.com
Date: Monday, 21 September, 2009, 9:00 AM

 Dividing the series into partial fractions,=1/3[1/5-1/8+ 1/8-1/11+ ......... ......... .+1/242-1/ 245]=1/3[1/5-1/242]=16/245regards,Siddhesh.--- On Fri, 18/9/09, sri ram wrote:From: sri ram Subject: Re: [2IIM CAT Prep] Quant QuestionTo: ascent4cat@yahoogro ups.comDate: Friday, 18 September, 2009, 8:19 AM   Can anyone please help me out, what would be the answer for the below question(series)… ..       1             1                  1                            1 -------  +   ---------     + ---------+. . . . . . . + ---------- (5)(8)      (8)(11)          (11)(14)                 (242)(245)     Regards, Sriram Kothandaraman On Tue, Aug 11, 2009 at 11:00 PM, Pooja Bhavsar wrote:   A: THE NO. WUD BE LIKE THIS 1233668898 (ANY ARRNGEMENT DOESN’T MATTER) BCOZ AS WE KNOW THAT IF U SUBTRACT THE SUM OF NO. FROM THE NO IT WILL BE DIVISIBLE BY 9. SO, ANS WUD BE  = OPTION(2) From: n suresh To: ascent4cat@yahoogro ups.com Sent: Monday, June 15, 2009 3:14:32 AMSubject: Re: [2IIM CAT Prep] Quant Question  The answer is 8. Any number subtracted by the sum of its digits will be a multiple of 9.  The total of the remaining digits is 46 and hence the closest multiple of 9 greater than 46 is 54. So ,54-46 is 8. From: rajendra sahu To: ascent4cat@yahoogro ups.com Sent: Sunday, May 17, 2009 1:04:27 PMSubject: [2IIM CAT Prep] Quant Question Hi,   Please give solution to the following prob--   A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of  the number from the number. Raju performed the subtraction but accidently erased one of the digits in the result. The remaining digits were 1, 2, 3, 3, 6, 6, 8, 8, 9( not necessarily in that order) which digit did Raju erase?   1)    9        2)    8 3)    4        4)     Cannot be determined   Rajendra Explore and discover exciting holidays and getaways with Yahoo! India Travel Click here! -- SRIRAM|SURAT | MOBILE :- 9909902378

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• when u subtract 1/8 from 1/5, u get, 3/(5*8).but the term in the series is 1/(5*8).So, we have to divide the entire series by3.Hope its clear now. ... From:
Message 1 of 13 , Sep 22, 2009
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when u subtract 1/8 from 1/5, u get, 3/(5*8).
but the term in the series is 1/(5*8).
So, we have to divide the entire series by3.
Hope its clear now.

--- On Tue, 22/9/09, vivek vicky <malsam_v2@...> wrote:

From: vivek vicky <malsam_v2@...>
Subject: Re: [2IIM CAT Prep] Quant Question
To: ascent4cat@yahoogroups.com
Date: Tuesday, 22 September, 2009, 11:34 AM

@siddhesh
Can you jus explain hw tat 1/3 comes.. u mean by splittin 1/2.8 into partial ftracctrion ? m not gettin tat properly yar....

--- On Mon, 21/9/09, siddhesh surya <surya_siddhesh@ yahoo.co. in> wrote:

From: siddhesh surya <surya_siddhesh@ yahoo.co. in>
Subject: Re: [2IIM CAT Prep] Quant Question
To: ascent4cat@yahoogro ups.com
Date: Monday, 21 September, 2009, 9:00 AM

 Dividing the series into partial fractions,=1/3[1/5-1/8+ 1/8-1/11+ ......... ......... .+1/242-1/ 245]=1/3[1/5-1/242]=16/245regards,Siddhesh.--- On Fri, 18/9/09, sri ram wrote:From: sri ram Subject: Re: [2IIM CAT Prep] Quant QuestionTo: ascent4cat@yahoogro ups.comDate: Friday, 18 September, 2009, 8:19 AM   Can anyone please help me out, what would be the answer for the below question(series)… ..       1             1                  1                            1 -------  +   ---------     + ---------+. . . . . . . + ---------- (5)(8)      (8)(11)          (11)(14)                 (242)(245)     Regards, Sriram Kothandaraman On Tue, Aug 11, 2009 at 11:00 PM, Pooja Bhavsar wrote:   A: THE NO. WUD BE LIKE THIS 1233668898 (ANY ARRNGEMENT DOESN’T MATTER) BCOZ AS WE KNOW THAT IF U SUBTRACT THE SUM OF NO. FROM THE NO IT WILL BE DIVISIBLE BY 9. SO, ANS WUD BE  = OPTION(2) From: n suresh To: ascent4cat@yahoogro ups.com Sent: Monday, June 15, 2009 3:14:32 AMSubject: Re: [2IIM CAT Prep] Quant Question  The answer is 8. Any number subtracted by the sum of its digits will be a multiple of 9.  The total of the remaining digits is 46 and hence the closest multiple of 9 greater than 46 is 54. So ,54-46 is 8. From: rajendra sahu To: ascent4cat@yahoogro ups.com Sent: Sunday, May 17, 2009 1:04:27 PMSubject: [2IIM CAT Prep] Quant Question Hi,   Please give solution to the following prob--   A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of  the number from the number. Raju performed the subtraction but accidently erased one of the digits in the result. The remaining digits were 1, 2, 3, 3, 6, 6, 8, 8, 9( not necessarily in that order) which digit did Raju erase?   1)    9        2)    8 3)    4        4)     Cannot be determined   Rajendra Explore and discover exciting holidays and getaways with Yahoo! India Travel Click here! -- SRIRAM|SURAT | MOBILE :- 9909902378

See the Web's breaking stories, chosen by people like you. Check out Yahoo! Buzz.

Keep up with people you care about with Yahoo! India Mail. Learn how.
• Can anyone please help me out, what would be the answer for the below question….. Consider three line of equations Y=3X, X+Y=40 and Y=0 , find the number of
Message 1 of 13 , Sep 24, 2009
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Consider three line of equations Y=3X, X+Y=40 and Y=0 , find the number of integer co-ordinaes in and on the area (TRIANGLE) bounded by these three lines...

I didnt remember the friend who helped me in the last problem i had ad asked for help but my deep regards and thanks to him and the team ASCENT4CAT for helping me out to solve the same...

Thanks and regards,
SRIRAM KOTHANDARAMAN...

On Tue, Aug 11, 2009 at 11:00 PM, Pooja Bhavsar wrote:

A: THE NO. WUD BE LIKE THIS 1233668898 (ANY ARRNGEMENT DOESN’T MATTER) BCOZ AS WE KNOW THAT IF U SUBTRACT THE SUM OF NO. FROM THE NO IT WILL BE DIVISIBLE BY 9. SO, ANS WUD BE  = OPTION(2)

From: n suresh <suresh_baabuin@...>
To: ascent4cat@yahoogroups.com
Sent: Monday, June 15, 2009 3:14:32 AM
Subject: Re: [2IIM CAT Prep] Quant Question

The answer is 8. Any number subtracted by the sum of its digits will be a multiple of 9.  The total of the remaining digits is 46 and hence the closest multiple of 9 greater than 46 is 54. So ,54-46 is 8.

From: rajendra sahu <r_s_124@yahoo. co.in>
To: ascent4cat@yahoogro ups.com
Sent: Sunday, May 17, 2009 1:04:27 PM
Subject: [2IIM CAT Prep] Quant Question

Hi,

Please give solution to the following prob--

A teacher wrote a 10 digit number on the board and asked her students to subtract the sum of digits of  the number from the
number. Raju performed the subtraction but accidently erased one of the digits in the result. The remaining digits were 1, 2, 3, 3, 6,
6, 8, 8, 9( not necessarily in that order) which digit did Raju erase?

1)    9        2)    8
3)    4        4)     Cannot be determined

Rajendra

Explore and discover exciting holidays and getaways with Yahoo! India Travel Click here!

--
SRIRAM|
SURAT | MOBILE :- 9909902378
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