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  • Question
  • 36 identical books must be arranged in rows with the same number of books in each row. Each row must contain at least three books and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible ?


  • Options
  • A. 5
  • B. 6
  • C. 7
  • D. 8

  • Correct Answer


  • Explanation

    The following arrangements satisfy all 3 conditions.

    Arrangement 1: 3 books in a row; 12 rows.

    Arrangement 2: 4 books in a row; 9 rows.
    Arrangement 3: 6 books in a row; 6 rows.
    Arrangement 4: 9 books in a row; 4 rows.
    Arrangement 5: 12 books in a row; 3 rows.

     

    Therefore, the possible arrangements are 5.

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

    Permutation and Combination problems


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    • 1. A class has 8 football players. A 5-member team and a captain will be selected out of these 8 players. How many different selections can be made ?

    • Options
    • A. 210
    • B. 168
    • C. 1260
    • D. 10!/6!
    • Discuss
    • 2. Out of seven consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?

    • Options
    • A. 25200
    • B. 25000
    • C. 25225
    • D. 24752
    • Discuss
    • 3. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated ?

    • Options
    • A. 15
    • B. 20
    • C. 5
    • D. 10
    • Discuss
    • 4. A box contains 5 green, 4 yellow and 5 white pearls. Four pearls are drawn at random. What is the probability that they are not of the same colour ? A) 11/91 B) 4/11 C) 1/11 D) 90/91

    • Options
    • A. Option A
    • B. Option B
    • C. Option C
    • D. Option D
    • Discuss
    • 5. How many more words can be formed by using the letters of the given word 'CREATIVITY'?

    • Options
    • A. 851250
    • B. 751210
    • C. 362880
    • D. 907200
    • Discuss
    • 6. How many numbers of five digits can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits?

    • Options
    • A. 120
    • B. 240
    • C. 256
    • D. 360
    • Discuss
    • 7. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

    • Options
    • A. 209
    • B. 290
    • C. 200
    • D. 208
    • Discuss
    • 8. 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
    • Discuss
    • 9. A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?

    • Options
    • A. 126
    • B. 120
    • C. 146
    • D. 156
    • Discuss
    • 10. From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not willing to join the committee in which Mr. Y is a member, whereas Mr.Y is willing to join the committee only if Mrs Z is included, how many such committee are possible?

    • Options
    • A. 91
    • B. 104
    • C. 109
    • D. 98
    • Discuss


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