Question

Which of the following is the correct sequence of books from top to bottom based on the given statements? Consider the following statements:
• [A.] There are seven books, one each on Psychology, Hindi, English, Sociology, Economics, Education and Accountancy lying on a table one above the other.
• [B.] Sociology is on top of all books.
• [C.] Accountancy is immediately below education which is immediately below Sociology.
• [D.] Economics is immediately above Psychology but not in the middle.
• [E.] Hindi is immediately below Psychology.

• A. Hindi, Psychology, Sociology, English, Education, Accountancy, Economics
• B. Sociology, Education, Accountancy, English, Economics, Psychology, Hindi
• C. English, Economics, Education, Hindi, Psychology, Sociology, Accountancy
• D. Sociology, English, Accountancy, Education, Economics, Psychology, Hindi

Hint:

In arrangement problems, always start with fixed positions (like top/bottom) and then place consecutive conditions step-by-step.

Answer 1

The Correct Option is B

Concept: This is a linear arrangement (ordering) problem. We must carefully place books according to the given conditions step-by-step.

Step 1: Start with fixed position. From statement (B): \[ \text{Sociology is on top} \] So position 1: \[ 1^{st} \rightarrow \text{Sociology} \]

Step 2: Use statement (C). \[ \text{Accountancy is immediately below Education, and Education is immediately below Sociology} \] So arrangement becomes: \[ 1^{st} \rightarrow \text{Sociology} \] \[ 2^{nd} \rightarrow \text{Education} \] \[ 3^{rd} \rightarrow \text{Accountancy} \]

Step 3: Use statement (D). \[ \text{Economics is immediately above Psychology and not in the middle} \] Total books = 7 → middle position = 4 So Economics cannot be in position 4. Thus possible pairs: \[ (4,5), (5,6), (6,7) \] But since Economics is above Psychology, valid placement avoiding middle: \[ 5^{th} \rightarrow \text{Economics} \] \[ 6^{th} \rightarrow \text{Psychology} \]

Step 4: Use statement (E). \[ \text{Hindi is immediately below Psychology} \] So: \[ 7^{th} \rightarrow \text{Hindi} \]

Step 5: Fill remaining position. Remaining book: English Thus: \[ 4^{th} \rightarrow \text{English} \]

Step 6: Final arrangement. \[ \text{Sociology},\ \text{Education},\ \text{Accountancy},\ \text{English},\ \text{Economics},\ \text{Psychology},\ \text{Hindi} \] \[ \boxed{(2)} \]