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DIRECTIONS for the question: Read the information given below and answer the question that follows.
Six classes, one each of the six subjects - Physics, Chemistry, Biology, Maths, Statistics and English - are held in a school one after the other (not necessarily in the same order) abiding the following conditions.
(i) Two classes are held between Chemistry and English.
(ii) Neither Biology nor Physics is the first or the last class.
(iii) The number of classes between Chemistry and Statistics is one more than that between Maths and Physics.
(iv) The Chemistry class is held immediately after the Biology  class  and immediately before the Maths class.
Q. If English is not the last class, then which of the following gives the correct  arrangement of classes?
  • a)
    Statistics, Biology, Chemistry, Maths, Physics, English
  • b)
    English, Physics, Biology, Chemistry, Maths, Statistics
  • c)
    Statistics, English, Physics, Biology, Chemistry, Maths
  • d)
    None of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
DIRECTIONSfor the question:Read the information given below and answer...
Let each subject be denoted by the first letter of its name.
►Physics → P, Chemistry → C,
►Biology → B, Maths → M
►Statistics → S, English → E
Now, the following represent the given conditions.

Hence, only case I and III will hold.
For the given condition, case III holds good.
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Most Upvoted Answer
DIRECTIONSfor the question:Read the information given below and answer...
Given Conditions:
- Six classes - Physics, Chemistry, Biology, Maths, Statistics, and English
- Two classes between Chemistry and English
- Neither Biology nor Physics is the first or last class
- Number of classes between Chemistry and Statistics is one more than that between Maths and Physics
- Chemistry class is immediately after Biology class and immediately before Maths class

Solution:
Based on the given conditions, we can arrange the classes as follows:

1. Neither Biology nor Physics is the first or last class.
- So, Biology and Physics cannot be the first or last class. This means that the first and last classes are either Maths, Statistics, or English.

2. Two classes between Chemistry and English.
- There are only three positions where Chemistry and English can be placed with two classes in between. These positions are:
a) ___ Chemistry ___ English ___
b) ___ English ___ Chemistry ___
c) ___ Chemistry ___ ___ English

3. Number of classes between Chemistry and Statistics is one more than that between Maths and Physics.
- From condition (iii), we can deduce that the positions of Chemistry and Statistics are determined by the positions of Maths and Physics. Let's consider two cases:
Case 1: If Maths is before Physics
- In this case, the positions of Maths and Physics are as follows:
a) ___ Maths ___ Physics ___
b) ___ Maths ___ Physics ___
c) ___ Physics ___ Maths ___
- From condition (iii), the positions of Chemistry and Statistics are as follows:
a) ___ Maths ___ Physics ___ Chemistry ___ Statistics ___
b) ___ Chemistry ___ Maths ___ Physics ___ Statistics ___
c) ___ Physics ___ Maths ___ Chemistry ___ Statistics ___
- However, in all these cases, Chemistry is not immediately after Biology and immediately before Maths, violating condition (iv). Hence, this case is not valid.

Case 2: If Maths is after Physics
- In this case, the positions of Maths and Physics are as follows:
a) ___ Physics ___ Maths ___
b) ___ Physics ___ Maths ___
c) ___ Maths ___ Physics ___
- From condition (iii), the positions of Chemistry and Statistics are as follows:
a) ___ Physics ___ Maths ___ Chemistry ___ Statistics ___
b) ___ Physics ___ Chemistry ___ Maths ___ Statistics ___
c) ___ Chemistry ___ Physics ___ Maths ___ Statistics ___
- In all these cases, Chemistry is immediately after Biology and immediately before Maths, satisfying condition (iv).

4. The Chemistry class is held immediately after the Biology class and immediately before the Maths class.
- From condition (iv), we can deduce that the valid arrangement is:
c) Statistics, English, Physics, Biology, Chemistry, Maths

Hence, option 'C' - Statistics, English, Physics, Biology, Chemistry, Maths - gives the correct arrangement of classes if English is not the last class.
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