As per the IBPS Calendar, exams like IBPS PO, IBPS Clerk, RRB PO, RRB Clerk etc. will be held in the upcoming months. Since you now know the exam dates, you should get started with your preparation. The Free Mock Test of RRB Clerk 2021 Prelims & RRB PO 2021 Prelims are ready to be taken. Take it now and check your performance along with your All India Rank and your weak areas Further, Use the Mock Test’s insightful analysis to improve upon your weak areas. In this article, we will be covering the concept of Inequalities along with tips, examples and extra questions for your practice.
Daily Quantitative Aptitude | Reasoning Quizzes for Banking Exams
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In these questions, a relationship between different elements is shown in the statements. The statements are followed by two conclusions. Give answer
(a) If only conclusion I is true.
(b) If only conclusion II is true.
(c) If either conclusion I or II is true.
(d) If neither conclusion I nor II is true.
(e) If both conclusions I and II are true
Statements: L > I = N > P; I ≥ R > K; N ≤ E < Z
Conclusion I: E > P
Conclusion II: R < L
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Solution:
Let’s have a look at the statements. It is obvious that there are multiple statements with some common terms. Let’s start with the first statement.
L > I = N > P
The next statement is I ≥ R > K. The common term is I
So we can put the second statement beneath the first statement in this way:
L > I = N > P
I ≥ R > K
Going further, the third statement is N ≤ E < Z which has only N as the common term. This statement can also be written as Z > E ≥ N. So the three statements can be written as below:
Z > E ≥ N
L > I = N > P
I ≥ R > K
Once the three statements have been rearranged, let’s look at the first conclusion, E > P.
E is obviously greater than or equal to N which is greater than P. There are two scenarios here.
If E is greater than N and N is greater than P, E will obviously be greater than P.
If E equals to N and N is greater than P, E will again be greater than P.
In both the scenarios, E > P, so the conclusion I holds good.
Conclusion II is R < L which can also be written as L > R.
In the given statement, it is obvious that L > I and I ≥ R. Once again, there will be two scenarios:
If L > I and I > R, obviously L > R.
If L > I and I = R, once again L > R.
Both the conclusions are true and therefore option (e) is the answer.
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Conclusion I: K > N
Conclusion II: I < Z
Solution:
Referring to the diagram, we know that I ≥ R > K and since I = N, I can be replaced by N. So the statement becomes N ≥ R > K which implies N > K. So conclusion I is not true.
For conclusion II we know that Z > E ≥ N and since I = N, therefore Z > E ≥ I which implies that Z > I. So the second conclusion is true. Therefore option (b) is the answer.
Combining Statements
Check the option (c) in the above question. It says, If either conclusion I or II is true. This will only hold true if conclusion I and conclusion II have the same terms. For instance. in the above example, if there is are two conclusions given below:
Conclusion I: Z > L
Conclusion II: L ≥ Z
Solution:
By looking at the statements-diagram, we know that the common term between Z and L is N and both are greater than N but between Z and L which one is greater is indeterminable. Now, look at both the conclusions once again. One thing is for sure: either Z > L or Z ≤ L. So option (c) is the correct answer.
Question 1: In the question, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statements and give answer.
Statements: A ≤ B ≥ E > F; B ≤ G < J < K
Conclusions:
I. K > F
II. G ≥ A
a. Only conclusion I is true
b. Only conclusion II is true
c. Either conclusion I or II is true
d. Neither conclusion I nor II is true
e. Both conclusions I and II are true
Answer: For detailed explanations, download the Free PDF
Question 2: In the question, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statements and give answer.
Statements: C ≥ D ≤ H ≤ L; H < M ≤ P > Q
Conclusions:
I. P < C
II. D < Q
a. Only conclusion I is true
b. Only conclusion II is true
c. Either conclusion I or II is true
d. Neither conclusion I nor II is true
e. Both conclusions I and II are true
Answer: For detailed explanations, download the Free PDF
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Question 3: In the question, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statements and give answer.
Statements: L > M ≥ P = Q; P > S > T ≤ U
Conclusions:
I. Q > T
II. L < U
a. Only conclusion I is true
b. Only conclusion II is true
c. Either conclusion I or II is true
d. Neither conclusion I nor II is true
e. Both conclusions I and II are true
Answer: For detailed explanations, download the Free PDF
Question 4:In the question given below, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statements and give answer.
Statements: U ≥ Y > W = F; J > W ≥ D ≥ Q < E
Conclusions:
I. E > U
II. Y > Q
III. D ≤ U
a. Only conclusion II is true.
b. Both conclusions I and II are true.
c. All the conclusions are true.
d. Both conclusions I and III are true.
e. None is true.
Answer: For detailed explanations, download the Free PDF
Question 5:In the question given below, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statements and give answer.
Statements: K = D > B; F < D = X; T ≤ G ≤ B
Conclusions:
I. T < K
II. K = X
III. F > G
a. Only conclusion II is true.
b. Only conclusion I is true.
c. Both conclusions II and III are true.
d. Both conclusions I and II are true.
e. None is true.
Answer: For detailed explanations, download the Free PDF
Question 6:In the question given below, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statements and give answer.
Statements: J > F = R > Q; Q > H ≥ K < C
Conclusions:
I. K < R
II. J > C
III. H ≤ F
a. Only conclusion I is true.
b. Both conclusion I and II are true.
c. All the conclusions are true.
d. Both conclusion I and III are true.
e. None is true.
Answer: For detailed explanations, download the Free PDF
Question 7:In the question given below, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statements and give answer.
Statements: C > V > E; O ≥ D > X < J ≤ E
Conclusions:
I. E < O
II. V > D
III. X ≤ C
a. Only conclusion III is true.
b. Both conclusion I and II are true.
c. All the conclusions are true.
d. Both conclusion I and III are true.
e. None is true.
Answer: For detailed explanations, download the Free PDF
Question 8: In the question below, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statements and given answer.
Statements: A ≥ Q = O > T; R = Q > K ≤ B < M
Conclusions:
I. K ≤ A
II. T > R
Only conclusion I is true
Only conclusion II is true
Either conclusion I or II is true
Neither conclusion I nor II is true
Both conclusions I and II are true
Answer: For detailed explanations, download the Free PDF
Question 9: In the question, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statements and given answer.
Statements: A = C < E ≤ D < F; G ≥ T > F
Conclusions:
I. G > E
II. T ≥ C
a. Only conclusion I is true
b. Only conclusion II is true
c. Either conclusion I or II is true
d. Neither conclusion I nor II is true
e. Both conclusions I and II are true
Answer: For detailed explanations, download the Free PDF
Question 10: In the question, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statements and given answer.
Statements: G = K < I ≥ J; I < F < X; F < L ≤ M = Y
Conclusions:
I. X > G
II. Y > J
a. Only conclusion I is true
b. Only conclusion II is true
c. Either conclusion I or II is true
d. Neither conclusion I nor II is true
e. Both conclusions I and II are true
Answer: For detailed explanations, download the Free PDF
We hope that the attached PDF will be helpful in your preparation. Don’t forget to take the Free Mock Test of IBPS RRB PO 2021 Prelims & IBPS RRB Clerk 2021 Prelims. If you have any input/ feedback for us, please do not hesitate to write it in the comments section below.
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