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  • rajendra sahu
    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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    • Rahil Sahu
      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 2 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

        www.vedamindia.com




        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


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      • n suresh
        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 3 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


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        • abhishek.welcomesu
          Message 4 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/
            >
          • Raghav raghav
            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 5 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 <r_s_124@...> wrote:

              From: rajendra sahu <r_s_124@...>
              Subject: [2IIM CAT Prep] Quant Question
              To: ascent4cat@yahoogroups.com
              Date: 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


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            • Pooja Bhavsar
              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 6 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


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              • shivam_pradhan
                Message 7 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!
                  >
                • sri ram
                  Can anyone please help me out, what would be the answer for the below question(series)….. 1 1 1 1 ...
                  Message 8 of 13 , Sep 17, 2009
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                    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 <poojabh_238@...> 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


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                  • Rahul Jain
                    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 9 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 <sarkram@...> wrote:
                       

                      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 <poojabh_238@...> 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


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                      --
                      SRIRAM|
                      SURAT | MOBILE :- 9909902378



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



                    • siddhesh surya
                      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 10 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]
                        =16/245

                        regards,
                        Siddhesh.

                        --- On Fri, 18/9/09, sri ram <sarkram@...> wrote:

                        From: sri ram <sarkram@...>
                        Subject: Re: [2IIM CAT Prep] Quant Question
                        To: ascent4cat@yahoogroups.com
                        Date: 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 <poojabh_238@ yahoo.com> 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@ yahoo.com>
                        To: ascent4cat@yahoogro ups.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


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                        --
                        SRIRAM|
                        SURAT | MOBILE :- 9909902378


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                      • vivek vicky
                        @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 11 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]
                          =16/245

                          regards,
                          Siddhesh.

                          --- On Fri, 18/9/09, sri ram <sarkram@gmail. com> wrote:

                          From: sri ram <sarkram@gmail. com>
                          Subject: Re: [2IIM CAT Prep] Quant Question
                          To: ascent4cat@yahoogro ups.com
                          Date: 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 <poojabh_238@ yahoo.com> 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@ yahoo.com>
                          To: ascent4cat@yahoogro ups.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


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                          --
                          SRIRAM|
                          SURAT | MOBILE :- 9909902378


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                        • siddhesh surya
                          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 12 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]
                            =16/245

                            regards,
                            Siddhesh.

                            --- On Fri, 18/9/09, sri ram <sarkram@gmail. com> wrote:

                            From: sri ram <sarkram@gmail. com>
                            Subject: Re: [2IIM CAT Prep] Quant Question
                            To: ascent4cat@yahoogro ups.com
                            Date: 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 <poojabh_238@ yahoo.com> 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@ yahoo.com>
                            To: ascent4cat@yahoogro ups.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


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                            --
                            SRIRAM|
                            SURAT | MOBILE :- 9909902378


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                          • sri ram
                            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 13 of 13 , Sep 24, 2009
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                              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 integer co-ordinaes in and on the area (TRIANGLE) bounded by these three lines...
                               
                              Please Help....
                               
                              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 <poojabh_238@...> 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


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