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  • Question
  • Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there be three persons ahead of C and 21 persons behind A, what could be the minimum number of persons in the queue?


  • Options
  • A. 41
  • B. 40
  • C. 28
  • D. 27

  • Correct Answer
  • 28 

    Explanation

    Three persons A, B, C can be arranged in a queue in six different ways, ie ABC, CBA, BAC, CAB, BCA, ACB. But since there are only 3 persons ahead of C, so C should be in front of the queue. Thus, there are only two possible arrangements, ie CBA and CAB.

     

    We may consider the two cases as under:

    Case I:   ? 3 C ? 8 B ? 5 A ? 21

     

    Clearly, number of persons in the queue = (3+1+8+1+5+1+21=) 40

     

    Case II:   ? 3 C   A ? 5 B

     

    Number of persons between A and C                  

     

    = (8 - 6) = 2   

    ? [ C ? 8 B   A ? 21 B ]

     

    Clearly number of persons in the queue = (3+1+2+1+21) = 28

     

    Now, 28 < 40. So, 28 is the minimum number of persons in the queue.                                                     

     

     

  • Tags: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO

    Time Sequence problems


    Search Results


    • 1. A class of boys stands in a single line, One boy is 19th in order from both the ends, How many boys are there in the class ?

    • Options
    • A. 37
    • B. 39
    • C. 27
    • D. 38
    • Discuss
    • 2. Sam ranked 9th from the top and 38th from the bottom in a class. How many students are there in the class ?

    • Options
    • A. 45
    • B. 47
    • C. 46
    • D. 48
    • Discuss
    • 3. Nitin ranks 18th in a class of 49 students. What is rank from the last ?

    • Options
    • A. 31
    • B. 18
    • C. 32
    • D. 19
    • Discuss
    • 4. In a row of boys, If A who is 10th from the left and B who is 9th from the right interchange their positions, A becomes 15th from the left. How many boys are there in the row ?

    • Options
    • A. 23
    • B. 31
    • C. 27
    • D. 28
    • Discuss
    • 5. How many 4's are there preceded by 7 but not followed by 3? 5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3

    • Options
    • A. Four
    • B. Three
    • C. Six
    • D. Five
    • Discuss
    • 6. How many such digits are there in the number 7346285 which are as far away from the beginning of the number, as they will be when arranged in ascending order within the number?

    • Options
    • A. None
    • B. one
    • C. Two
    • D. Three
    • Discuss
    • 7. If the 30th january 2003 was thursday, what was the day day on 2nd march, 2003?

    • Options
    • A. sunday
    • B. thursday
    • C. tuesday
    • D. saturday
    • Discuss
    • 8. In a class of 180, where girls are twice the number of boys, Rupesh[a boy] ranked 34th from the top. If there are 18 girls ahead of Rupesh, how many boys are after him in rank?

    • Options
    • A. 45
    • B. 44
    • C. 60
    • D. can't be determined
    • Discuss
    • 9. In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there be 50 persons in the queue. What position does Mamta occupy from the front ?

    • Options
    • A. 14th
    • B. 16th
    • C. 18th
    • D. 20th
    • Discuss
    • 10. Rajan is sixth from the left end and vinay is tenth from the right end in a row of boys. If there are eight boys between Rajan and Vinay, how many boys are there in the row ?

    • Options
    • A. 24
    • B. 26
    • C. 23
    • D. 25
    • Discuss


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