The symbols O$, *, \Delta$, and $\square$ are to be filled, one in each box, as shown below.

The rules for filling in the four symbols are as follows.

1) Every row and every column must contain each of the four symbols.

2) Every 2 × 2 square delineated by bold lines must contain each of the four symbols.

Which symbol will occupy the box marked with ‘?’ in the partially filled figure?

In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all of Ravi’s friends at school were hardworking and kind too. But the teachers drew attention to Ravi’s complete lack of interest in sports. The teachers believed that, along with some of his friends who showed similar disinterest in sports, Ravi needed to engage in some sports for his overall development.

Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

Consider the following inequalities

𝑝² − 4𝑞 < 4

3𝑝 + 2𝑞 < 6

where 𝑝 and 𝑞 are positive integers.

The value of (𝑝 + 𝑞) is _______. 

Which one of the sentence sequences in the given options creates a coherent narrative?

(i) I could not bring myself to knock.

(ii) There was a murmur of unfamiliar voices coming from the big drawing room and the door was firmly shut.

(iii) The passage was dark for a bit, but then it suddenly opened into a bright kitchen.

(iv) I decided I would rather wander down the passage.