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Home Verbal Reasoning Arithmetic Reasoning See What Others Are Saying!
  • Question
  • Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 is


  • Options
  • A. 18
  • B. 22
  • C. 42
  • D. 43

  • Correct Answer
  • 43 

    Explanation
    Numbers from 1 to 60, which are divisible by 6 are : 6,12,18, 24, 30, 36,42, 48, 54, 60.

    There are 10 such numbers.

    Numbers from 1 to 60, the sum of whose digits is 6 are : 6, 15, 24, 33, 42, 51, 60.

    There are 7 such numbers of which 4 are common to the above ones. So, there are 3such uncommon numbers.

    Numbers from 1 to 60, which have 6 as one of the digits are 6, 16, 26, 36, 46, 56, 60.

    Clearly, there are 4 such uncommon numbers.

    So, numbers 'not connected with 6' = 60 - (10 + 3 + 4) = 43.


    More questions

    • 1. Find the odd one out:

    • Options
    • A. Mars
    • B. Sun
    • C. Saturn
    • D. Mercury
    • Discuss
    • 2. 
      Which one is true?
      I. All players are not tall.
      II. All basketball players are tall.
      III. All tall people are players.
      IV. Some players are tall.

    • Options
    • A. IV
    • B. III.
    • C. II.
    • D. I.
    • Discuss
    • 3. 
      'Crawl' is related to which of the following in the same way as 'Fly' is related to 'Parrot'?

    • Options
    • A. Rabbit
    • B. Fish
    • C. Frog
    • D. Crocodile
    • Discuss
    • 4. 
      NA

    • Options
    • A. Mattress
    • B. Pillow
    • C. Bed sheet
    • D. Curtain
    • Discuss
    • 5. 
      Smoke : Pollution :: War :?

    • Options
    • A. Peace
    • B. Victory
    • C. Treaty
    • D. Destruction
    • Discuss
    • 6.  Statements: All the locks are keys. All the keys are bats. Some watches are bats.

      Conclusions:

      1. Some bats are locks.
      2. Some watches are keys.
      3. All the keys are locks.


    • Options
    • A. Only (1) and (2)
    • B. Only (1)
    • C. Only (2)
    • D. Only (1) and (3)
    • Discuss
    • 7. 
      NA

    • Options
    • A. Tomato
    • B. Potato
    • C. Carrot
    • D. Onion
    • Discuss
    • 8. 120, 99, 80, 63, 48,?

    • Options
    • A. 35
    • B. 38
    • C. 39
    • D. 40
    • Discuss
    • 9. 
      1, 1, 2, 6, 24,?, 720

    • Options
    • A. 100
    • B. 104
    • C. 108
    • D. 120
    • Discuss
    • 10. 
      Lion : Cow : Land

    • Options
    • A. Water : Land : Air
    • B. Whale : Hippopotamus : Water
    • C. Chair : Table : Stool
    • D. England : Germany : USA
    • Discuss


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