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Home Aptitude Permutation and Combination See What Others Are Saying!
  • Question
  • How many arrangements can be made out of the letters of the word DRAUGHT, the vowels never beings separated?


  • Options
  • A. 1440
  • B. 720
  • C. 360
  • D. 640

  • Correct Answer
  • 1440 

    Explanation

    There are 7 letters in the word DRAUGHT, the two vowels are A and U. Since, the vowels are not to be separated, AU can be considered as one entity. Therefore, the number of letters will be 6 instead of 7. The permutations will be P(6,6) = 6! ways.

     

    But the two vowels A and U can be arranged in two ways, i.e. AU and UA. The required number of arrangements = 2!.6! = 1440 ways.


  • More questions

    • 1. 
      A, B and C are employed to do a piece of work for $575. A and C are supposed to finish 19 / 23 of the work together. Amount shall be paid to B is:

    • Options
    • A. $210
    • B. $100
    • C. $200
    • D. $475
    • Discuss
    • 2. Which one of the following can't be the square of natural number?

    • Options
    • A. 32761
    • B. 81225
    • C. 42437
    • D. 20164
    • E. None of these
    • Discuss
    • 3. 
      A number gets reduced to its one-third, when 48 is subtracted from it. What is two-third of that number?

    • Options
    • A. 24
    • B. 72
    • C. 36
    • D. None of these
    • Discuss
    • 4. 100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

    • Options
    • A. 14 27% gain
    • B. 15% gain
    • C. 14 27% loss
    • D. 15 % loss
    • Discuss
    • 5. 
      E being always in the middle.

    • Options
    • A. 18 ways
    • B. 24 ways
    • C. 48 ways
    • D. 20 ways
    • Discuss
    • 6. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

    • Options
    • A. 65 sec
    • B. 89 sec
    • C. 100 sec
    • D. 150 sec
    • Discuss
    • 7. 
      X can completed a job in 12 days. If X and Y work together, they can complete the job in 6 2/ 3 days, Y alone can complete the job in

    • Options
    • A. 10 days
    • B. 12 days
    • C. 15 days
    • D. 18 days
    • Discuss
    • 8. Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

    • Options
    • A. 3.6
    • B. 6
    • C. 18
    • D. Cannot be determined
    • E. None of these
    • Discuss
    • 9. Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?

    • Options
    • A. 23 m
    • B. 23 29 m
    • C. 27 79 m
    • D. 29 m
    • Discuss
    • 10. 
      Find the number of ways, in which 12 different beads can be arranged to form a necklace .

    • Options
    • A. 11 !/2
    • B. 10 !/2
    • C. 12 !/2
    • D. Couldn't be determined
    • Discuss


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