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Home Aptitude Problems on Numbers See What Others Are Saying!
  • Question
  • If a number 72k23l is divisible by 88. Then find value of k and l ?


  • Options
  • A. k=8 & l=2
  • B. k=7 & l=2
  • C. k=8 & l=3
  • D. k=7 & l=1

  • Correct Answer
  • k=7 & l=2 

    Explanation

    If a number to be divisile by 88, it should be divisible by both "8" and "11"

    Check for '8' :
    For a number to be divisible by "8", the last 3-digit should be divisible by "8"
    Here 72x23y --> last 3-digit is '23y'
    So y=2 [ (i.e) 232 is absolutely divisible by "8"]

    Chech for '11' :
    For a number to be divisible by "11" , sum of odd digits - sum of even digits should be divisible by "11"
    (7 + x + 3) - (2 + 2 + y)
    (7 + x + 3) - (2 + 2 + 2)
    (10 + x) - 6 should be divisible by "11"
    for x = 7
    => 17 - 6 = 11 [ which is absolutely divisible by "11"]

    So x = 7 , y= 2.

  • Tags: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO

    More questions

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      ?. x 4 ? 227 = 398
      ?. y 2 + 321 = 346

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 2. If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?

    • Options
    • A. Sunday
    • B. Saturday
    • C. Tuesday
    • D. Wednesday
    • Discuss
    • 3. 1, 4, 9, 16, 23, 25, 36

    • Options
    • A. 9
    • B. 23
    • C. 25
    • D. 36
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    • 4. 
      A sum of money is to be divided equally among P, Q and R in the respective ratio of 5 : 6 : 7 and another sum of money is to be divided between S and T equally. If S got ? 2100 less than P, then how much amount did Q receive?

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    • A. ? 2500
    • B. ? 2000
    • C. ? 1500
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    • 5. 
      If a : b = b : c, then ratio a 4 : b 4 is equal to

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    • 6. 
      A man covers half of his journey at 6 km/h and the remaining half at 3 km/h. Find his average speed.

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    • B. 4 km/h
    • C. 4.5 km/h
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    • 7. 
      A person can walk a certain distance and drive back in 6 h. He can also walk both ways in 10 h. How much time will he take to drive both ways?

    • Options
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    • 8. 
      Find the least number by which 175760 be devided to make it a perfect cube.

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    • 9. 
      The roots of the equation x2 + px + q = 0 are equal if :

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    • 10. 
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