Directions (Qs. 11-15): In these questions, a relationship between different elements is shown in the statements. The statements are followed by two conclusions. Give answer
Statements: M = K, D ≤ K, R < K
Conclusions: I. D = M
II. M > D
Answer: Option [C]
M = K ........(i); D ≤ K .....(ii); R < K .......(iii)
From (i) and (ii), we get
M = K ≥ D
=> M ≥ D
Hence, either M > D (conclusion II) or M = D (conclusion I) is true.
Statements: F ≤ M, M > R, E ≥ F
Conclusions: I. M > E
II. R ≥ E
Answer: Option [D]
F ≤ M.....(i); M > R......(ii); E ≥ F ............(iii)
From (i) and (iii), no specific relation can be obtained between M and E. Similarly, no specific relation can be obtained between R and E.
Statements: H = K, T < H, W ≤ T
Conclusions: I. K > W
II. T < K
Answer: Option [E]
H = K ......(i); T < H .....(ii); W ≤ T ....(iii)
From (i), (ii) and (iii), we get
K = H > T ≥ W
=> K > W (conclusion I) and T < K (conclusion II).
Statements: N > A, A < L, F = N
Conclusions: I. L > F
II. F > A
Answer: Option [B]
N > A .... (i); A < L ...... (ii) F = N ....(iii)
From (i) and (iii), we get
F = N > A
=> F > A (conclusion II). But no specific relation can be obtained between L and F. Hence conclusion I is not necessarily true.
Statements: B ≤ D, D = M, F > M
Conclusions: I. B < M
II. F > B
Answer: Option [B]
B ≤ D ...(i); D = M .....(ii); F > M ..... (iii)
From (i), (ii) and (iii), we get
F > M = D ≥ B
=> B ≤ M and F > B (conclusion II). Since, B ≤ M, therefore, conclusion I is not necessarily true.