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  • Question
  • 476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively:


  • Options
  • A. 7 and 4
  • B. 7 and 5
  • C. 8 and 5
  • D. None of these

  • Correct Answer
  • 8 and 5 

    Explanation
    Let the given number be 476 xy 0.

    Then (4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3.

    And, (0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11.

    x - y - 3 = 0   ⟹ y = x - 3

    (17 + x + y) = (17 + x + x - 3) = (2x + 14)

    x= 2 or x = 8.

    x = 8 and y = 5.


  • More questions

    • 1. 
      Five coins are tossed at a time. Then, the probability of obtaining at least one tail is

    • Options
    • A. 31/32
    • B. 1/32
    • C. 1/5
    • D. 5/32
    • Discuss
    • 2. 
      Find the maximum number of tree which can plant 20 m apart on the two side of straight road 1760 m long

    • Options
    • A. 174
    • B. 176
    • C. 180
    • D. 178
    • Discuss
    • 3. 
      1307 x 1307 =?

    • Options
    • A. 1601249
    • B. 1607249
    • C. 1701249
    • D. 1708249
    • Discuss
    • 4. 
      The circumferences of two concentric are 176 m and 132 m respectively. what is the difference between their radii?

    • Options
    • A. 5 meter
    • B. 7 meter
    • C. 8 meter
    • D. 44 meter
    • Discuss
    • 5. 
      (1/2 ÷ 4 + 20) / (1/2 x 4 + 20) =?

    • Options
    • A. 81 / 88
    • B. 23/11
    • C. 161 / 176
    • D. 1
    • Discuss
    • 6. 
      Find the cardinal number of the following set {x: x = 2n, n ? N, 4 ? x ? 11}

    • Options
    • A. 8
    • B. 6
    • C. 12
    • D. 4
    • Discuss
    • 7. 
      If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/ 27. Find the fraction.

    • Options
    • A. 8/27
    • B. 11/3
    • C. 22/3
    • D. 32/3
    • Discuss
    • 8. 
      (0.04) 3 =?

    • Options
    • A. 0.064
    • B. 0.0064
    • C. 0.00064
    • D. 0.000064
    • Discuss
    • 9. 
      If a + b + c = 8, then the value of (a ? 4)3 + (b ? 3)3 + (c ? 1)3 ? 3 (a ? 4) (b ? 3) (c ? 1) is

    • Options
    • A. 2
    • B. 4
    • C. 1
    • D. 0
    • Discuss
    • 10. 
      3571 +? - 6086 = 155

    • Options
    • A. 2400
    • B. 2630
    • C. 2515
    • D. None of these
    • Discuss


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