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Home Aptitude Number System See What Others Are Saying!
  • Question
  • In a three-digit number, the digit in the unit's place is four times the digit in the hundred's place. If the digit in the unit's place and the ten's places are interchanged, the new number so formed is 18 more than the original number. If the digit in the hundred's place is one third of the digit in the ten's place, then what is 25% of the original number?


  • Options
  • A. 67
  • B. 84
  • C. 137
  • D. Couldn't not be determined

  • Correct Answer
  • 67 

    Explanation

    Let hundred's place digit = p
    Then according to question,
    unit's digit = 4 x hundred's place digit = 4p
    and Ten's place digit = 3 x hundred's place digit = 3p
    So Number = 100 x p + 10 x 3p + 1 x 4p= 134p

    If the digit in the unit's place and the ten's places are interchanged according to question,
    unit's digit = 3p
    and Ten's place digit = 4p
    Now Number = 100 x p + 10 x 4p + 1 x 3p = 143p
    According to the question, after interchanging,
    143p - 134p = 18
    ? 9p = 18
    ? p = 2
    Original number = 134p = 134 x 2 = 268
    25% of original number = 268 x 25/100 = 67


  • More questions

    • 1. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 2. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
    • Discuss
    • 3. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 4. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 5. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 6. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 7. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 9. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss
    • 10. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
    • B. 85
    • C. -45
    • D. 60
    • Discuss


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