Inequalities PDF- Concept, Examples, Tricks & Expected Questions

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RRB Clerk 2020 Prelims- Inequalities Examples

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

Inequalities- Example 1

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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Inequalities- Example 2

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:

Inequalities- Example 3

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.

Download PDF- Inequalities- Concept, Tricks, Examples & Questions for Practice

RRB Clerk 2020 Prelims- Questions for Practice

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

Download PDF- RRB Clerk 2020 Prelims- Inequalities- Concept, Tricks, Examples & Questions for Practice

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