Directions (Q 1–4): In the questions given below, certain symbols are used with the following meanings:

P $ Q means P is neither equal to nor smaller than Q.

P © Q means P is not smaller than Q.

P « Q means P is neither greater nor smaller than Q.

P # Q means P is neither greater than nor equal to Q.

P @ Q means P is not greater than Q.

Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Give answer

1) if only conclusion I is true.

2) if only conclusion II is true.

3) if either conclusion I or II is true.

4) if neither conclusion I nor II is true.

5) if both conclusions I and II are true.

1. Statements: M # K, K « D, D @ P

Conclusions: I. M @ P II. M «P

2. Statements: I. W © T, T $ M, B # M

Conclusions: I. W $ B II. M # W

3. Statements: H « D, D # R, R © N

Conclusions: I. N « H II. N $ H

4. Statements: Z @ R, R © D, D # T

Conclusions: I. D # Z II. Z # T

Answers

1. 4; M < K ... (i); K = D... (ii); D ? P... (iii) Combining all the equations, we get P ? D = K > M ? P > M. Hence, conclusion I (M ? P) and conclusion II (M = P) are not true.

2. 5; W ? T ... (i); T > M ... (ii); B < M ... (iii) Combining all, we get W ? T > M > B ? W > B and W > M. Hence, both conclusions

(W > B, M < W) are true.

3. 4; H = D ... (i); D < R ... (ii) R ? N .... (iii) Combining (i) and (ii), we get R > H = D ... (iv)

From (iii) and (iv), we cann’t get any specific relation between N and H. Therefore, conclusion I (N = H) and conclusion II (N > H) are not true.

4. 4; Z ? R ... (i); R ??D ... (ii); D < T... (iii) With these equations no relation can be established between D and Z, and Z and T.