Directions (Qs. 16-20): In the follojwing questions, the symbols @, #, $,* and & are used as illustrated below:
‘P # Q’ means ‘P is not smaller than Q’.
‘P $ Q’ means ‘ P is neither smaller than nor greater than Q’.
‘P @ Q’ means ‘P is neither greater than nor equal to Q’.
‘P * Q’ means ‘P is not greater than Q’.
‘P & Q’ means ‘P is neither smaller than nor equal to Q’.
Now, im 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
Statements: B $ K, K @ D, D # M
Conclusions: I. B $ M
II. B @ M
Answer: Option [D]
B = k.......(i); K < D ......(ii); D > M ..... (iii)
From (i) and (ii), we get
D > K = B .............. (iv)
From (iii) and (iv), no specific relation can be obtained between B and M. Therefore, B = M (conclusion I) and B < M (conclusion II) are not necessarily true.
Statements: H @ N, N & W, W # V
Conclusions: I. H @ V
II. V @ N
Answer: Option [B]
H < N ........(i); N > W ........ (ii); W ≥ V .......... (iii)
From (ii) and (iii), we get
N > W ≥ V ........ (vi)
From (i) and (iv), no specific relation can be obtained between H and V. Hence, H < V (Conclusion I) is not necessarily true. But V < N (Conclusion II) follows from equation (iv).
Statements: J * D, Q # D, Q @ M
Conclusions: I. Q & J
II. Q $ J
Answer: Option [C]
J ≤ D ........ (i); Q ≥ D ..... (ii); Q < M ....... (iii)
Combining (i) and (ii), we get
Q ≥ D ≥ J
=> Q > J (Conclusion I) or Q = J (Conclusion II)
Hence, either conclusion I or Conclusion II is true
Statements: F # G, N $ G, N $ T
Conclusions: I. T & R
II. N * F
Answer: Option [B]
F ≥ G ......... (i); N = G ............... (ii); N > T ............... (iii)
Combining all, we get
F ≥ G = N > T
=> N ≤ F (Conclusion II) and T < F
Hence, conclusion I (T > F) is not true but conclusion II is true.
Statements: M & R, R @ K, K $ T
Conclusions: I. T & R
II. T & M
Answer: Option [A]
M > R ..................(i); R < K .......... (ii); K = T ................. (iii)
Combining (ii) and (iii), we get
K = T > R
=> T > R (Conclusion I).
On the basis of the given information no specific relation can be obtained between T and M. Hence, T > M (Conclusion II) is not necessarily true.
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