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Home Aptitude Linear Equation See What Others Are Saying!
  • Question
  • If the digits of a two-digit number are interchanged , the number formed is greater than the the original number by 45. If the difference between the digits is 5, then what is the original number?


  • Options
  • A. 16
  • B. 27
  • C. 38
  • D. can not be determined

  • Correct Answer
  • can not be determined 

    Explanation

    Let us assume the two digits number of the number is a and b.
    According to given question,
    The original number is 10a + b.
    After interchanging the digits , the Number is 10b + a.
    The number formed is greater than the the original number by 45,
    We will get,
    New number = Original number + 45
    ? 10b + a = 10a + b + 45
    ? 10b + a - 10a - b = 45
    ? 9b - 9a = 45
    ? b - a = 5
    According the question the difference between the digits is 5 which will not help us to solve this question because both condition given in question are same. So can't be determined the answer.

    Now try Hit and Trail method
    Try one by one all option. All 3 Options are true.
    But we cannot choose all 3 option, but as per question we cannot find the answer.


  • 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
    • B. 2 km/hr
    • 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
    • B. 15 years
    • C. 16 years
    • D. Cannot be determined
    • Discuss
    • 5. 
      What is 786 time of 964?

    • Options
    • A. 759276
    • B. 749844
    • C. 75416
    • D. 757704
    • 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
    • B. Rs. 51
    • 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
    • A. 45
    • B. 35
    • C. 25
    • D. 55
    • Discuss
    • 8. 
      Find the value of log 8 + log 1/8?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. log (64)
    • 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
    • A. 6
    • B. 7
    • C. 8
    • D. 9
    • Discuss
    • 10. 
      Find the product of place value and face value of 5 in 65231

    • Options
    • A. 28000
    • B. 25000
    • C. 27000
    • D. 26000
    • Discuss


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