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  • Question
  • A thief steals half the total number of loaves of bread plus 1/2 loaf from a bakery. A second thief steals half the remaining number of loaves plus 1/2 loaf and so on. After the 5th thief has stolen there are no more loaves left in the bakery. What was the total number of loaves did the bakery have at the beginning ?


  • Options
  • A. 21
  • B. 11
  • C. 17
  • D. 31

  • Correct Answer
  • 31 

    Explanation

    Let y be the total number of loaves
    a be the remaining loaves after 1st thief
    b be the remaining loaves after 2nd thief
    and c, d..so on after 3 and 4 th
    e = 0 be the remaining loaves after 5th thief

    a = y - (y/2 + 1/2)
    = y/2 - 1/2

    b = a - (a/2 + 1/2)
    = a/2 - 1/2

    c = b - (b/2 + 1/2)
    = b/2 - 1/2

    d = c - (c/2 + 1/2)
    = c/2 - 1/2

    e = d - (d/2 + 1/2)
    = d/2 - 1/2
    we know that, e = 0,
    thus by substitution, we get
    d = 1
    c = 3
    b = 7
    a = 15
    y = 31
    Therefore total number of bread loaves in bakery was 31.

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

    Numbers problems


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    • 1. Arun has certain number of books. It is not less than 15 and not more than 30. If he wants to give these books equally to 2 of his friends, then 1 book will remain. If he wants to give these books equally to 3 of his friends, then 2 books will remain. If he wants to give these books equally to 4 of his friends, then 3 books will remain. What is the number of books he had ?

    • Options
    • A. 19
    • B. 23
    • C. 17
    • D. 15
    • Discuss
    • 2. Find the remainder when 629 is divided by 5 ?

    • Options
    • A. 0
    • B. 1
    • C. 3
    • D. 5
    • Discuss
    • 3. There are two numbers such that the sum of twice the first number and thrice the second number is 100 and sum of thrice the first number and twice the second number is 120. Which is the larger number ?

    • Options
    • A. 32
    • B. 24
    • C. 26
    • D. 38
    • Discuss
    • 4. If in the following set of numbers, the first and the third digits are interchanged in each number, which number will be second from the end if arranged in ascending order after interchanging the digits ? 585 546 514 404 206 369

    • Options
    • A. 404
    • B. 585
    • C. 415
    • D. 602
    • Discuss
    • 5. When a number is divided by 138 the remainder is 26. What will be the remainder if the same number is divided by 23 ?

    • Options
    • A. 4
    • B. 6
    • C. 3
    • D. 1
    • Discuss
    • 6. Maheshwari wants to buy 7 floors in an 68 storied building whose numbering stars from 1 upto 68. But she has to follow certain rules which are as follows : 1) None of the floor should be a prime number 2) None of the digit of the floor should be a prime number 3) Maheshwari cannot buy the 1st floor as it is being assigned to the architect. So how many options are left with Maheshwari to buy the floors ?

    • Options
    • A. 11
    • B. 17
    • C. 13
    • D. 19
    • Discuss
    • 7. 25 divided by 7

    • Options
    • A. 3.571
    • B. 35.71
    • C. 0.351
    • D. 0.0357
    • Discuss
    • 8. The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is

    • Options
    • A. 17
    • B. 29
    • C. 43
    • D. none
    • Discuss
    • 9. A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following could be the length of the fence in feet? (12 inches = 1 foot).

    • Options
    • A. 17
    • B. 18
    • C. `19
    • D. 20
    • Discuss
    • 10. What is the simplified result of following the steps below in order? 1.Add 5y to 2x 2.Multiply the sum by 3 3.Substract x+y from the product

    • Options
    • A. 5x + 14y
    • B. 5x + 16y
    • C. 5x + 5y
    • D. None
    • Discuss


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