PQ and RS are chords on a circle centred at O. Suppose A is the point of intersection of PQ and RS. Which of the following statements is/are correct?

1. If A and O coincide, then the four parts of the circle produced by the chords shall always have equal areas.

2. If A and O do not coincide, then two of the four parts of the circle produced by the chords shall always have equal areas.

Select the correct answer using the code given below.

Which of the following symbols should replace (1) and (2), respectively in the given expression in order to make the expression X < H definitely true?

Statement: A < Z > I < B > S = O ≤ N

Conclusions:

I. S= N

II. B > O

Statement: B > C = J; B > S > E; B < N

Conclusion: I. E < C           II. J ≤ E

Statements: K ≥ N = I ≥ H ≤ U; B = S ≤ I

Conclusion: I. B < K II. B = K

Statements: A ≥ B > C < D, E ≥ F ≥ G, D = H ≥ E

Conclusion:

I. B > F

II. D ≥ G

III. C < G

Statements: P @ Q, Q # R, R % S

Conclusions: a) P # R       b) P @ S

Statements: O< V ≤ N = P < S, R = Z ≥ Y = X > O

Conclusions:

I. R > N

II. X > P

III. R > O

Statements: E > G < H > F = I ≥ J > K ≥ D

Conclusion

I: J < H

II: I > D

Which of the following does not make J @ K and R # K definitely not true?

Statement: V > R; C > U > Q; C < R

Conclusion:

I.V > Q

II. V > U