Categories: Reasoning

Inequality

Inequality

Inequality for bank exam, IBPS, RBI, RRB; inequality questions, concepts

Examples:

Instructions
In these questions, relationship between different elements is shown in the statements which are followed by conclusions. Study the conclusions based on the given statements and select the appropriate answer.

Question 1:

Statement:
D < T = Y ; N > T ≥ X ; D ≥ A = B

Conclusions:
I: B < Y
II: X < Y

A) Only Conclusion I follows
B) Only Conclusion II follows
C) Either Conclusion I or Conclusion II follows
D) Both Conclusion I and Conclusion II follow
E) Neither Conclusion I nor Conclusion II follows

Answer: A

Explanation: The relationship between B and Y can be written as B = A ≤ D < T = Y Here, B is definitely less than Y. The relationship between X and Y can be written as X ≤ T = Y Here, X can be either less than Y or equal to Y. Hence, Conclusion II cannot be concluded. Therefore, Only Conclusion I follows.

Question 2:

Statement:
P < T > R ; S ≥ X = M ; X ≥ T ≤ N

Conclusions:
I: N < X
II: M ≤ N

A) Only Conclusion I follows
B) Only Conclusion II follows
C) Either Conclusion I or Conclusion II follows
D) Both Conclusion I and Conclusion II follow
E) Neither Conclusion I nor Conclusion II follows

Answer: C

Explanation: The relationship between N and X can be written as X ≥ T ≤ N Here, The relation cannot be established. Since X = M, replacing X by M in the above expression, M ≥ T ≤ N. Here, M can be either greater than or equal to or less than N. If we replace X by M in Conclusion I, we get both the conclusions as N < M (or) M > N M ≤ N. Therefore, Either Conclusion I or Conclusion II follows.

Instructions
The following statements and conclusions have been given.Based on the statements choose the correct option as per the data provided

Question 3:

Statement:
9>11>12>17; 12≥10≤8

Conclusions:
I: 11≥8
II: 9>8

A) Only Conclusion I follows
B) Only Conclusion II follows
C) Either Conclusion I or Conclusion II follows
D) Both Conclusion I and Conclusion II follow
E) Neither Conclusion I nor Conclusion II follows

Answer: E

Explanation:
from the statements we have ;
9>11>12≥10≤8 We don’t have the exact relation between 9 and 8 and 11 and 8 so both the statements will be false

Question 4:

Statement:
F>D<A=E>B≤G≤C

Conclusions:
I: A≥C
II: E<C

A) Only Conclusion I follows
B) Only Conclusion II follows
C) Either Conclusion I or Conclusion II follows
D) Both Conclusion I and Conclusion II follow
E) Neither Conclusion I nor Conclusion II follows

Answer: C

Explanation:
from the statements we have ;
F>D<A=E>B≤G≤C As A=E and we don’t have the exact sign between E and C so either of the statements can be true.

Question 5:

Statement:
A=B>C<D; C<E<F

Conclusions:
I: A<E
II: D<F

A) Only Conclusion I follows
B) Only Conclusion II follows
C) Either Conclusion I or Conclusion II follows
D) Both Conclusion I and Conclusion II follow
E) Neither Conclusion I nor Conclusion II follows

Answer: E

Explanation:
from the statements we have ;
A=B>C<E<F and D>C<E<F
We don’t have the exact equality sign between A and E and D and F so both the conclusions will be false.

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Tags: Inequality

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