Reasoning Equality And InequalityPage 1
Section-1
Direction:In these questions relationship between different elements is shown in statements. The statements are followed by conclusions. Study the conclusions based on the given statement and select the appropriate answer.
1. | Statements:
A ≥ B = C
B < D ≤ E
Conclusions:
D > A
E > C | | (a)Only conclusion 1 is true | | (b)Only conclusion 2 is true | | (c)Neither conclusion 1 nor 2 is true | | (d)Either conclusion 1 or 2 is true |
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Answer is: BGiven statements-
A ≥ B = C …………(1)
B < D ≤ E …………(2)
Combining both statements, we get A ≥ B < D ≤ E
Thus, we can’t compare A and D. Hence Conclusion 1 (D > A) is not true.
Again, B = C < D ≤ E. Thus C < E or E > C is true. Hence, conclusions 2 is true.
2. | Statements:
L > U ≥ K
Z < U < R
Conclusions:
L > Z
K < R | | (a)Neither conclusion 1 nor 2 is true | | (b)Only conclusion 1 is true | | (c)Both conclusions 1 and 2 are true | | (d)Only conclusion 2 is true |
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Answer is: DL > U ≥ K …..(1)
Z < U < R ……(2)
Combining both statements, we get L > U > Z. Thus, L > Z is true. Hence conclusion 1 is true.
Again, K ≤ U < R. Thus K < R is true. Hence, conclusion 2 is true.
3. | Statements:
Y < J = P ≥ R > I
Conclusions:
J > I
Y < R | | (a)Neither conclusion 1 nor 2 is true | | (b)Either conclusion 1 or 2 is true | | (c)Only conclusion 1 is true | | (d)Only conclusion 2 is true |
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Answer is: CGiven statements-
Y < J = P ≥ R > I
Thus, J > I is true, Hence conclusion 1 is true.
Again, we can't compare Y and R. Hence, 2 is not true.
4. | Statements:
V ≥ K > M = N
M > S
T < K
Conclusions:
T < N
V = S | | (a)Neither conclusion 1 nor 2 is true | | (b)Either conclusion 1 or 2 is true | | (c)Only conclusion 1 is true | | (d)Only conclusion 2 is true |
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Answer is: AGiven statements-
V ≥ K > M = N ………….(1)
M > S ……………………..(2)
T < k …………………….(3)
Combining (1) and (3), we get
T < K > M = N
We can't compare T and N.
Hence conclusion 1 (T < N) is not true.
Again, combining (1) and (2),
V ≥ K > M > S
Thus, Conclusion (2) (V = S) is not true.
5. | Statements:
P < L ≤ A > M = K ≥ E
Conclusions:
K ≤ L
P < E | | (a)Neither conclusion 1 nor 2 is true | | (b)Either conclusion 1 or 2 is true | | (c)Only conclusion 1 is true | | (d)Only conclusion 2 is true |
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Answer is: AGiven statements-
P < L ≤ A > M = K ≥ E
Thus, we can't compare L and K. Hence 1 is not true,
Again, we can't compare P and E. Hence 2 is not true.
Hence, neither 1 nor 2 is true.
6. | Statements:
P > R = A < Y
D < A
Conclusions:
1. P > D
2. D < Y | | (a)Neither conclusion 1 nor 2 is true | | (b)Either conclusion 1 or 2 is true | | (c)Both conclusions 1 and 2 are true | | (d)Only conclusion 1 is true |
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Answer is: CGiven statements -
P > R = A < Y ………(1)
D < A ……….(2)
Combining (1) and (2), we get
P > R = A > D
Thus, P > D is true. Hence 1 is true.
Again, D < A < Y
So, D < Y is true. Hence 2 is true.
7. | Statements:
P > R = A < Y
D < A
Conclusions:
P < Y
R ≤ D | | (a)Neither conclusion 1 nor 2 is true | | (b)Either conclusion 1 or 2 is true | | (c)Only conclusion 1 is true | | (d)Both conclusions 1 and 2 are true |
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Answer is: AGiven statements -
P > R = A < Y ………(1)
D < A ……….(2)
Now, from (1), P > R = A < Y
We can't compare P and Y. Hence 1 is not true.
From (1) and (2), we get
P > R = A > D. Hence R > D is true. Hence (2) ( R ≤ D ) is not true.
8. | Statements:
C ≥ R > A = S ≤ H
R < P < Q
Conclusions:
C > S
P < C | | (a)Neither conclusion 1 nor 2 is true | | (b)Either conclusion 1 or 2 is true | | (c)Only conclusion 1 is true | | (d)Only conclusion 2 is true |
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Answer is: CGiven statement –
C ≥ R > A = S ≤ H ……..(1)
R < P < Q …………(2)
Now, from equation 1
C ≥ R > A = S ≤ H
Thus, C > S is true. Hence 1 is true.
Again combining equation1 and 2, we get
C ≥ R < R < Q
So, we can't compare P and C. Hence, equation 2 is not true.
9. | Statements:
C ≥ R > A = S ≤ H
R < P < Q
Conclusions:
H ≥ R
R < Q | | (a)Only conclusion 1 is true | | (b)Only conclusion 2 is true | | (c)Neither conclusion 1 nor 2 is true | | (d)Either conclusion 1 or 2 is true |
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Answer is: BGiven statement –
C ≥ R > A = S ≤ H ……..(1)
R < P < Q …………(2)
From equation (2)
R < P < Q
Hence, R < Q is true. Hence 2 is true.
Again, R > A = S ≤ H
We can't compare H and R. Hence, statement 1 is not true.
10. | Statements:
S > M ≥ D > H ≤ R ≤ T < W
Conclusions:
S > H
W > H
R < W
M > T | | (a)Only 1 , 2 and 3 are true | | (b)Only 1 and 2 are true | | (c)Only 1 and Either 2 or 4 are true | | (d)All 1, 2 3 and 4 are true |
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Answer is: AS > M ≥ D > H ≤ R ≤ T < W
Thus, S > H is true. Hence 1 is true. Again,
H < W or W > H is true. Hence 2 is true.
R < W is true. Hence 3 is also true. But we can't compare M and T.
Hence 4 is not true. Hence only 1, 2 and 3 are true.
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