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Question

In a pile of 10 books, there are 3 of Geography, 3 of Hindi, 2 of Mathematics and 2 of Economics. Starting from above, there is an Economics book between a Geography and a Mathematics book, a Geography book between a Mathematics and an Economics book, a Hindi book between an Economics and a Mathematics book, a Mathematics book between two Hindi books and two Hindi books between a Mathematics and a Geography book. Which subject's book is at the sixth position from the top ?

The correct answer is

Hindi

To solve this problem, we must determine the order of the 10 books, adhering to the given conditions. We have:

  • 3 Geography books (G)
  • 3 Hindi books (H)
  • 2 Mathematics books (M)
  • 2 Economics books (E)

Here are the constraints provided:

  1. There is an Economics book between a Geography and a Mathematics book. (G, E, M)
  2. There is a Geography book between a Mathematics and an Economics book. (M, G, E)
  3. There is a Hindi book between an Economics and a Mathematics book. (E, H, M)
  4. There is a Mathematics book between two Hindi books. (H, M, H)
  5. There are two Hindi books between a Mathematics and a Geography book. (M, H, H, G)

Let's arrange the books step-by-step:

  • From constraint 4: H, M, H.
  • From constraint 5: M, H, H, G.
  • To satisfy both, place them as: M, H, M, H, G.
  • Now, integrate the remaining constraints into this setup:

Working with the rest of the constraints:

  • From constraint 1: Choose (M, G) from existing and place E between them: M, G, E. One possible arrangement already supporting constraint 2 and 1 is: E, G, M.
  • Add in Hindi and Economics, starting from the remaining Geography: M, H, M, H, G, E, G, E.
  • The chronological sequence of books becomes:
    1. E
    2. G
    3. M
    4. H
    5. M
    6. H
    7. E
    8. G
    9. ......(two remaining Hindi and Economics)
PositionBook
1Economics (E)
2Geography (G)
3Mathematics (M)
4Hindi (H)
5Mathematics (M)
6Hindi (H)
7Economics (E)
8Geography (G)
9Hindi (H)
10Mathematics (M)

According to the arrangement, the sixth book is "Hindi." Hence, the correct answer is Hindi.

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Important Questions from Ordering and Ranking

  1. Three persons A, Band Care standing in a queue not necessarily in the same order. There are 4 persons between Aand B, and 7 persons between Band C. If there are 11 persons ahead of Cand 13 behind A, what could be the minimum number of persons in the queue?

  2. In a class of 60 students, where the number of girls is twice that of boys, Kamal, a boy, ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is:

  3. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled on Monday?

  4. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled between Statistics and English?

  5. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is the last one in the week?

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