Equality And Inequality MCQs For Bank PO and Other Exams

Direction (Q1-5): 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.

Q1. 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

Correct Answer: B
Answer Explanation: Given 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.

Q2. Statements:
L > U ≥ K
Z 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

Correct Answer: D
Answer Explanation:
L > U ≥ K …..(1)
Z 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.

Q3. 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

Correct Answer: C
Answer Explanation: Given 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.

Q4. 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

Correct Answer: A
Answer Explanation: Given 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.

Q5. 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

Correct Answer: A
Answer Explanation: Given 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.

Q6. 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

Correct Answer: C
Answer Explanation: Given 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.

Q7. 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

Correct Answer: A
Answer Explanation: Given 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.

Q8. Statements:
C ≥ R > A = S ≤ H
R 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

Correct Answer: C
Answer Explanation: Given statement –
C ≥ R > A = S ≤ H ……..(1)
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.

Q9. 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

Correct Answer: B
Answer Explanation: Given statement –
C ≥ R > A = S ≤ H ……..(1)
R A = S ≤ H
We can’t compare H and R. Hence, statement 1 is not true.

Q10. 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

Correct Answer: A
Answer Explanation: S > 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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