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  • Question
  • On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder?


  • Options
  • A. 0
  • B. 3
  • C. 5
  • D. 11

  • Correct Answer


  • Explanation
    Let x be the number and y be the quotient. Then,

    x = 357 x y + 39

      = (17 x 21 x y) + (17 x 2) + 5

      = 17 x (21y + 2) + 5)

    ∴Required remainder = 5.


  • Numbers problems


    Search Results


    • 1. In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient?

    • Options
    • A. 0
    • B. 12
    • C. 13
    • D. 20
    • Discuss
    • 2. Which one of the following is a prime number?

    • Options
    • A. 161
    • B. 221
    • C. 373
    • D. 437
    • E. None of these
    • Discuss
    • 3. The largest 4 digit number exactly divisible by 88 is:

    • Options
    • A. 9944
    • B. 9768
    • C. 9988
    • D. 8888
    • E. None of these
    • Discuss
    • 4. The smallest 6 digit number exactly divisible by 111 is:

    • Options
    • A. 111111
    • B. 110011
    • C. 100011
    • D. 110101
    • E. None of these
    • Discuss
    • 5. How many 3 digit numbers are divisible by 6 in all?

    • Options
    • A. 149
    • B. 150
    • C. 151
    • D. 166
    • Discuss
    • 6. In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend?

    • Options
    • A. 4236
    • B. 4306
    • C. 4336
    • D. 5336
    • E. None of these
    • Discuss
    • 7. What is the unit digit in 7105?

    • Options
    • A. 1
    • B. 5
    • C. 7
    • D. 9
    • Discuss
    • 8. (1000)9? 1024 =?

    • Options
    • A. 10000
    • B. 1000
    • C. 100
    • D. 10
    • E. None of these
    • Discuss
    • 9. 106 x 106 - 94 x 94 =?

    • Options
    • A. 2400
    • B. 2000
    • C. 1904
    • D. 1906
    • E. None of these
    • Discuss
    • 10. (112 x 54) =?

    • Options
    • A. 67000
    • B. 70000
    • C. 76500
    • D. 77200
    • Discuss


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