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  • 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. 
      If the Price of 6 toys is Rs. 264.37, What will be the approximate price (Rs) of 5 toys?

    • Options
    • A. 230
    • B. 120
    • C. 320
    • D. 220
    • Discuss
    • 2. 
      A runs 1 2/ 3 times as fast as B. If A gives B a start of 40 m, how far must the winning post be, so that A and B might reach it at the same time?

    • Options
    • A. 75 m
    • B. 200 m
    • C. 100 m
    • D. 125 m
    • Discuss
    • 3. 
      A person rows a kilometre down the stream in 10 minute and upstream in 30 minutes. Find the velocity of the stream?

    • Options
    • A. 1 km/hr
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    • C. 3 km/hr
    • D. 4 km/hr
    • Discuss
    • 4. 
      One year ago the ratio between Samir and Ashok's age was 4 : 3. One years Later the sum of their ages will be 5 : 4. What is the sum of their present ages in years?

    • Options
    • A. 12 years
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    • C. 16 years
    • D. Cannot be determined
    • Discuss
    • 5. 
      What is 786 time of 964?

    • Options
    • A. 759276
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    • C. 75416
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    • Discuss
    • 6. 
      The percent profit when an article is sold for Rs. 78 is twice as when it is sold for Rs. 69. The C.P. of the article is?

    • Options
    • A. Rs. 49
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    • C. Rs. 57
    • D. Rs. 60
    • Discuss
    • 7. 
      In a game of 100 points, A scores 100 points while B scores only 65 points. In this game, how much points can A give to B?

    • Options
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    • C. 25
    • D. 55
    • Discuss
    • 8. 
      Find the value of log 8 + log 1/8?

    • Options
    • A. 0
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    • Discuss
    • 9. 
      Given log 10 2 = 0.30103, log 10 3 = 0.47712. Find the number of digit, in 3 12 x 2 8?

    • Options
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    • B. 7
    • C. 8
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    • Discuss
    • 10. 
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    • Options
    • A. 28000
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    • C. 27000
    • D. 26000
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