According to the given information, we get the following figure,

Hence, the distance between T and P is 2 km.

Hence, ‘2’ is the code for ‘and’.

All options except ‘Optics’ are different topics studied under Mathematics, while ‘Optics’ is a topic studied in Physics.

Hence, ‘Optics’ is the odd one out.

Important Point

Concept:

1) We have to check the conclusions are 100% match with the statement. If the conclusion is 100% match with the given statement then the conclusion is true. If there is a 1% chance of not following the statement then the conclusion is considered to be false.

2) The possibility case can be considered to be "false" in "definite case".

3) In Possibility case, either "can" or "possible" word must be present.

The least possible Venn diagram for the given statements is as follows,

Conclusion:

I. Some dry are pitch → False (No direct relation given hence, false)

II. Some pitch are not green → True (No green is pitch so some pitch are not green is true)

III. No pitch is dry → False (No direct relation given hence, false)

Conclusive I and III form complementary pair.

Thus, Either conclusion I or III and II follow.

Note: 

Conditions of Either-or case:

1. The elements should be the same in both the statements.

2. Individually both the conclusions should be false.

3. One conclusion should be positive and one conclusion should be negative (Complementary pair)

The two complementary pairs are:

1) All + Some not

2) No + Some

Additional Information

The image that resemble are:

So, Option 2 will resemble in the given paper.

Hence, the correct answer is "Option 2".

The statement "Ram and Shyam always get first and second ranks in class"

Conclusion I: "Ram always gets the first rank while Shyam gets the second rank." This conclusion does not necessarily follow from the statement. It is not clear who gets the first rank and who gets the second.

Conclusion II: "The competition between Ram and Sham is as tough as nails." This conclusion might be inferred indirectly from the statement, as the fact that Ram and Shyam always get first and second ranks could suggest that they are both high achievers and therefore likely to be competitive with each other. However, the intensity of the competition ("as tough as nails") is not directly mentioned in the statement, so it is not a definite conclusion.

So, Neither conclusion I nor II follows.

Hence, the correct answer is "Option 4".

1) HEALTH – WHITEWASH (Cannot be formed because L is missing)

2) HASTE – WHITEWASH (Can be formed)

3) WHEAT – WHITEWASH (Can be formed)

4) HEIST – WHITEWASH (Can be formed)

Hence, the correct answer is “HEALTH”.

The relation is:

A. Steel : Utensils → Utensils are made up of steel.

B. Bronze : Statue → Statues are made of bronze.

C. Duralumin : Aircraft → Aircrafts are made of duralumin.

D. Wood : Rails → Rails are made of iron and steel and not wood.

Hence, ‘Wood : Rails’ is the odd one out.

Given:

Statement: G > A ≥ B ≥ C > D ≤ E ≤ F

Here, G is greater than A which is greater than and equal to B which is greater than and equal to C which is further greater than D which is smaller than and equal to E which is smaller than and equal to F.

Conclusions:

I. A > E → False (According to the given relation, there is no direct relation between E and A, so we can not conclude the relation between them.)

II. B ≤ F → False (According to the given relation, there is no direct relation between B and F, so we can not conclude the relation between them.)

​Hence, "Neither conclusion I nor II is true".

The logic followed here is:

Six family members U, V, W, X, Y, and Z are sitting in a row facing south.

• W is sitting between U and Y.

So, Z, and V are sitting on the endpoints.

Hence, "Option (4)" is the correct answer.