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  • Question
  • In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, the remainder would have been


  • Options
  • A. 24
  • B. 144
  • C. 292
  • D. 584

  • Correct Answer
  • 584 

    Explanation
     5 | x                z = 13 x 1 + 12  = 25
     --------------
     9 | y - 4            y = 9 x z + 8  = 9 x 25 + 8  = 233
     --------------
     13| z - 8            x = 5 x y + 4  = 5 x 233 + 4  = 1169
     --------------
       | 1 -12
      
      585) 1169 (1
           585
           ---
           584
           ---
           
      Therefore, on dividing the number by 585, remainder = 584.     
    

  • Numbers problems


    Search Results


    • 1. The difference of the squares of two consecutive odd integers is divisible by which of the following integers?

    • Options
    • A. 3
    • B. 6
    • C. 7
    • D. 8
    • Discuss
    • 2. 72519 x 9999 =?

    • Options
    • A. 725117481
    • B. 674217481
    • C. 685126481
    • D. 696217481
    • E. None of these
    • Discuss
    • 3. What value should come in place of the question mark(?) in the following question? (?) + 3699 + 1985 - 2047 = 31111

    • Options
    • A. 34748
    • B. 27474
    • C. 30154
    • D. 27574
    • E. None of these
    • Discuss
    • 4. 4500 x? = 3375

    • Options
    • A. 25
    • B. 34
    • C. 14
    • D. 35
    • E. None of these
    • Discuss
    • 5. The smallest 5 digit number exactly divisible by 41 is:

    • Options
    • A. 1004
    • B. 10004
    • C. 10045
    • D. 10025
    • E. None of these
    • Discuss
    • 6. The sum of all two digit numbers divisible by 5 is:

    • Options
    • A. 1035
    • B. 1245
    • C. 1230
    • D. 945
    • E. None of these
    • Discuss
    • 7. (35423 + 7164 + 41720) - (317 x 89) =?

    • Options
    • A. 28213
    • B. 84307
    • C. 50694
    • D. 56094
    • E. None of these
    • Discuss
    • 8. How many terms are there in the G.P. 3, 6, 12, 24, ... , 384?

    • Options
    • A. 8
    • B. 9
    • C. 10
    • D. 11
    • E. 7
    • Discuss
    • 9. 
      (963 + 476)2 + (963 - 476)2 =?
      (963 x 963 + 476 x 476)

    • Options
    • A. 1449
    • B. 497
    • C. 2
    • D. 4
    • E. None of these
    • Discuss
    • 10. Which of the following number is divisible by 24?

    • Options
    • A. 35718
    • B. 63810
    • C. 537804
    • D. 3125736
    • Discuss


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