Reasoning Equality And InequalityPage 3
Section-3
Direction: In the following questions, the symbols @, $, #, * and % are used with the following meaning as illustrated below.
‘P $ Q’ means ‘P is not smaller than Q’.
‘P * Q’ means ‘P is neither greater than nor equal to Q’.
‘P # Q’ means ‘P is neither smaller than nor equal to Q’.
‘P % Q’ means ‘P is not greater than Q’.
‘P @ Q’ means ‘ P is neither greater than nor smaller than Q’.
Now, in each of the following questions, assuming the given statements to be true, find which of the four conclusions 1, 2, 3 and 4 given below them is/are definitely true and give your answer accordingly.
1. | Statements:
R # J; J $ D; D @ K; K % T;
Conclusions:
1. T # D
2. T @ D
3. R # K
4. J $ T | | (a)Only either 1 or 2 is true | | (b)Only 3 and 4 are true | | (c)Only either 1 or 2 and 3 are true | | (d)Only 3 is true |
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Answer is: C# → >; $ → ≥ ; * → <; % → ≤; @ → =
R > J ≥ D = K ≤ T
Hence, T ≥ D. Which means either 1 (T > D) or 2 (T = D) is true.
Again, R > K. Hence, 3 is true.
But J and T can't be compared. Hence 4 is not true
2. | Statements:
T % R; R $ M; M @ D; D * H
Conclusions:
1. D % R
2. H # R
3. T * M
4. T % D | | (a)Only either 1 or 2 is true | | (b)Only 1 is true | | (c)Only 3 and 4 are true | | (d)Only either 1 or 2 and 3 are true |
|
Answer is: B# → >; $ → ≥ ; * → <; % → ≤; @ → =
T ≤ R ≤ M = D < H
Hence 1 (D ≤ R) is true.
But the elements in 2, 3 and 4 can't be compared.
3. | Statements:
M @ B; B # N; N $ R; R * K
Conclusions:
1. K # B
2. R * B
3. M $ R
4. N * M | | (a)Only either 1 or 2 is true | | (b)Only 1 and 2 is true | | (c)Only either 1 or 2 and 3 are true | | (d)Only 2 and 4 are true |
|
Answer is: D# → >, $ → ≥ , * → <, % → ≤, @ → =
M = B > N ≤ R < K
K and B can't compared. Hence 1 is not definitely true.
R < B. Hence 2 is true.
M ≤ R. Hence 3 is not true.
N < M. Hence 4 is true.
4. | Statements:
F # H, H @ M, M * E, E $ J
Conclusions:
1. J * M
2. E # H
3. M * F
4. F # E | | (a)Only either 1 or 2 is true | | (b)Only 3 or 4 is true | | (c)Only 2 and 3 are true | | (d)Only either 1 or 2 and 3 are true |
|
Answer is: C# → >, $ → ≥ , * → <, % → ≤, @ → =
F > H = M < E ≤ J
J and M can't compared. Hence 1 is not definitely true.
E > H. Hence 2 is true.
M < F. Hence 3 is true.
But F and E can't be compared. Hence 4 is not definitely true.
5. | Statements:
D % A, A @ B, B * K, K % M
Conclusions:
1. B $ D
2. K # A
3. M # B
4. A * M | | (a)Only either 1 or 2 is true | | (b)Only either 1 and 2 are true | | (c)Only 3 and 4 are true | | (d)All 1, 2, 3 and 4 are true |
|
Answer is: D# → >, $ → ≥ , * → <, % → ≤, @ → =
D ≤ A = B < K ≤ M
Hence 1 (B ≤ D) is true. 2 (K > A) is also true.
So are 3 (M > B) and 4 (A < M).
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