 # Inequality Questions And Answers With Explanation for Upcoming SBI PO, IBPS Pre and LIC AAO 2020 Exams at Smartkeeda

Hi Aspirants,

In this article we will discuss Reasoning Inequality Questions with answers, by detailed explanation with the help of some tips and tricks to solve them quickly and with solved examples.

In the various Banking Examinations Reasoning section has its own importance among all sections because they have high weightage in banking exams and you should definitely score high marks if you have practiced well for them.
In this article we will cover all Inequality Questions with solution by detailed explanation which comes in the Reasoning Aptitude section as a result it helps you to crack your desired banking exam.

Now we will discuss about Inequality Questions and tricks to solve them quickly without any wastage of time. In Banking Exams probably there are 4 to 5 questions which can be asked from Inequality Reasoning and as a result Inequality Questions are the easiest part among reasoning section, but it can become difficult for you if you don’t practice them well.

Basically there are 3 to 4 types of Inequalities but we at Smartkeeda divided them into 5 to 6  topics because Smartkeeda never wants that aspirant left anything and to make each and everything easier and clear regarding Reasoning Inequality described as below:

• Direct Inequalities
• Reverse Inequalities
• Indirect Symbol Inequalities
• Coded Inequalities
• Multiple Relation Inequalities
• Filler Inequalities

### Direct Inequality Questions for SBI PO, LIC AAO 2020 at Smartkeeda

Direct Inequalities: In the Direct Inequality Questions you are given these signs <, >, ≤, ≥, = and directly. You have to arrange these signs in a correct order according to the question or you have to give a correct conclusion.

Directions: In these questions, a relationship between different elements is shown in the statements. The statements are followed by two conclusions. Give answer

1.  Statement :   Q ≥ P = R ≥ N < G ≥ E > S

Conclusions :  I. Q ≥ N     II. R > E

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.

Explanation :

Given statement :

Q ≥ P = R ≥ N < G ≥ E > S

Thus, Q ≥ N is true. Hence, conclusion I is true. Again, we can’t compare R and E.

Hence, conclusion II does not hold true.

Hence, option A is correct.

2.  Statement : Q ≥ P = R ≥ N < G ≥ E > S

Conclusions :  I. G > P     II. S < R

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.

Explanation :

Given statement :

Q ≥ P = R ≥ N < G ≥ E > S

Thus, we can’t compare G and P or S and R.

Hence, conclusion I and II both are not true.

Hence, option D is correct.

### Reverse Inequality Questions for IBPS PO, SBI Pre and IBPS Pre 2020

Reverse Inequalities: In the Reverse Inequality questions, You are given conclusions in questions and in answer you have to choose right statement as a result it is a opposite of other Inequality Questions.

1.  In which of the following expressions 'W > Z' as well as ' Y > Z' hold definitely true?

A.W > X > U = Z < H ≤ Y
B.W ≥ X = U > Z ≤ H < Y
C.W = X > U ≥ Z < H < Y
D.All of the above
E. None of the above

Explanation :

In order to ensure the statement that holds ' W > Z' and ' Y > Z' definitely true, we have to check all the options one by one.

For option A :

W > X > U = Z < H ≤ Y

Here, the common sign between W and Z is '>', thus it follows W > Z.

The common sign between Z and Y is also '<' , thus it follows Z < Y or Y > Z.

For option B :

W ≥ X = U > Z ≤ H < Y

Here also, the common sign between W and Z is '>', thus it follows W > Z.

The common sign between Z and Y is also '<' , thus it follows Z < Y or Y > Z.

For option C :

W = X > U ≥ Z < H < Y

Here again, the common sign between W and Z is '>', thus it follows W > Z.

The common sign between Z and Y is also '<' , thus it follows Z < Y or Y > Z.

Since all the three expressions hold the given conclusions true, option D "all of the above" is correct.

Hence option D is correct.

### Indirect Symbol Inequality Questions for Competitive Bank Exams at Smartkeeda

Indirect Symbol Inequalities: In the Indirect Symbol Inequality Questions, you are given a relation, here relation refers to smaller or greater relation among letters, numbers, symbols etc. And you have to choose the right conclusion for the statement given in the Inequality Question.

### Coded Inequality Questions for LIC AAO, IBPS Pre, SBI PO 2020 at Smartkeeda

Coded Inequalities: In the Coded Inequality Questions, signs <, >, ≤, ≥, = and are given in coded form. As a result to solve them you have to find out the correct code of signs.

Directions : Study the following information carefully and answer the question given below.

‘P % Q’ means ‘P is not smaller than Q.’

‘P * Q’ means ‘P is neither greater than nor equal to Q.’

‘P δ Q’ means ‘P is neither smaller than nor equal to Q.’

‘P \$ Q’ means ‘P is neither greater than nor smaller than Q.’

‘P © Q’ means ‘P is not greater than Q.’

1.   Statements :      D \$ T, T % M, M * J

Conclusions :      I. J δ D            II. M © D

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

Explanation :

As per the information given,
1. D \$ T means D = T
2. T % M means T ≥ M
3. M * J means M < J

So, the final equation will be,

D  =  T  ≥  M  <  J

Now,         the Conclusion I. J δ D means J > D
the Conclusion II. M © D means M ≤ D

Let's check the Conclusions now,

Conclusion I : Conclusion II : ?Hence, only Conclusion II is true.

2.  Statements :      8 * K, K \$ N, N % R

Conclusions :      I. R \$ K          II. R * K

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

Explanation :

As per the information given,
1. 8 * K means 8 < K
2. K \$ N means K = N
3. N % R means N ≥ R

So, the final equation will be,

8  <  K  =  N  ≥  R

Now,         the Conclusion I. R \$ K means R = K
the Conclusion II. R * K means R < K

Let's check the Conclusions now, It's clear from the above image that either Conclusion I or Conclusion II follows.

3.  Statements :
H % F, F * W,  W \$ E

Conclusions :      I. E δ F          II. H δ W

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

Explanation :

As per the information given,
1. H % F means H ≥ F
2. F * W means F < W
3. W \$ E means W = E

So, the final equation will be,

H  ≥  F  <  W  =  E

Now,         the Conclusion I. E δ F means E > F
the Conclusion II. H δ W means H > W

Let's check the Conclusions now,

Conclusion I : Conclusion II : Hence, Only Conclusion I is true.

4.   Statements :       Z δ D, D © K, K δ M

Conclusions :      I. M * D          II. Z δ K

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

Explanation :

As per the information given,
1. Z δ D means Z > D
2. D © K means D ≤ K
3. K δ M means K > M

So, the final equation will be,

Z  >  D  ≤  K  >  M

Now,         the Conclusion I. M * D means M < D
the Conclusion II. Z δ K means Z > K

Let's check the Conclusions now,

Conclusion I : Conclusion II : Hence, neither Conclusion I nor II is true.

5.  Statements :

Conclusions :      I. F δ B            II. W * N

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

Explanation:

As per the information given,
1. W © B means W ≤ B
2. N δ B means N > B
3. N © F means N ≤ F

So, the final equation will be,

W  ≤  B  <  N  ≤  F

Now,         the Conclusion I. F δ B means F > B
the Conclusion II. W * N means W < N

Let's check the Conclusions now,

Conclusion I : Conclusion II : Hence, both Conclusions I and II are true.

### Multiple Relation Inequality Questions for IBPS PO Pre, SBI PO Pre at Smartkeeda

Multiple Relation Inequalities: In Multiple Relation Inequality Questions, they are quite similar to Indirect Symbol Inequality but the difference among them is that greater or smaller relation is given for multiple numbers, letters, symbols etc. And you have to choose the right conclusion for the statement given in the Inequality Question.

Directions: In these questions, relationship between different elements is shown in the statement. The statements are followed by two conclusions. Choose the correct answer on the basis of information given below.

Statements :   U > M ≥ A = N < S ,      X = N ≥ Q = Y > R

Conclusions :  M > Y ,      M = Y

A. Both conclusions I and II follow
B.Either conclusion I or II follows
C.Only conclusion I follows
D. Only conclusion II follows
E. Neither conclusion I nor II follows

Explanation :

Statements :   U > M ≥ A = N < S ,         X = N ≥ Q = Y > R

Conclusions :  M > Y ,      M = Y

For Conclusion I : M > Y

From statements I and II, we get:

M ≥ A = N ≥ Q = Y

Here, the common sign between M and Y is ‘≥’. Hence M > Y is not true individually.

For Conclusion II : M = Y

From statements I and II, we get:

M ≥ A = N = X ≥ Q = Y

Here, the common sign between M and Y is ‘≥’. Hence M = Y is not true individually.

But if we combine both the conclusions, we will get to know that Either M > Y or M = Y .

Thus, either conclusion I or conclusion II follows.

Hence option B  is correct.

2.  Statements :   M ≥ P ≥ Q > R = S ,         B < T = H ≥ J > M

Conclusions:  J ≥ Q ,      P > T

A. Both conclusions I and II follow
B. Either conclusion I or II follows
C. Only conclusion I follows
D. Only conclusion II follows
E. Neither conclusion I nor II follows

Explanation :

Statements :   M ≥ P ≥ Q > R = S ,         B < T = H ≥ J > M

Conclusions :  J ≥ Q ,      P > T

For Conclusion I : J ≥ Q

From statements I and II, we get:

J > M ≥ P ≥ Q

Here, the common sign between J and Q is '>' . Thus J ≥ Q is false. Hence concluison I does not follow.

For Conclusion II : P > T

From statements I and II, we get:

T = H ≥ J > M ≥ P

Here, the common sign between T and P is '>'. Thus T > P or P < T. Hence conclusion II also does not follow.

Thus Neither conclusion I nor conclusion II follows.

Hence option E is correct.

### Filler Inequality Questions for Competitive Exams like LIC AAO, 2020, SBI PO, IBPS PO at Smartkeeda

Filler Inequalities: In Filler Inequality Questions, you are given a true direction with appropriate statement and in Conclusion you have to fill up the correct symbol, letter, number etc. as described in direction.

1.  Which of the following symbols must replace the question mark in the following equation so that A < S is definitely true and B > L is not definitely true?

D < A ≤ L = C ? T ≤ B < S

A. =
B. <
C. ≤
D. Either option A or C
E. Either option A or B

Explanation :

Let us check each of the options one by one.

Option A :

D < A ≤ L = C = T ≤ B < S

In this case A < S is definitely true and B > L is not definitely true. Thus option A is correct.

Option B :

D < A ≤ L = C < T ≤ B < S

In this case A < S is definitely true but B > L is also definitely true. Thus option B is incorrect.

Option C :

D < A ≤ L = C ≤ T ≤ B < S

In this case A < S is definitely true as well as we can see that B > L is not definitely true, B = L could also be a possible true statement.

Thus option C is also correct.

Therefore with the help of either option A or option C can derive the desired conclusions.

Hence option D is correct.

2.  Which of the following symbols must replace the question mark in the following equation so that R < L is definitely true and F > P is not definitely false?

M ≥ F > R = Q ? K ≤ L = P

A. >
B. =
C. ≤
D. <
E. Either option A or B

Explanation :

Let us check each of the options one by one.

Option A :

M ≥ F > R = Q > K ≤ L = P

In this case, we can see the opposite signs between R and L, so we can't say that R > L is definitely true.Thus option A is incorrect.

Option B :

M ≥ F > R = Q = K ≤ L = P

In this case R ≤ L, this means that either R < L or R = L . thus R < L is not definitely true. Thus option B is incorrect.

Option C :

M ≥ F > R = Q ≤ K ≤ L = P

In this case also R ≤ L, this means that either R < L or R = L . thus R < L is not definitely true. Thus option C is incorrect.

Option D :

M ≥ F > R = Q < K ≤ L = P

Here we can see that R < L is definitely true.

There are opposite signs between F and P, so following 3 ewlationships is posible between F and P - F > P, F = P  or F < P. Thus we can say that F > P is not definitely false.

Hence option D is correct.

NOTE:  Inequalities Questions  are one of the easiest and most important thing that it is the section which is a common section for all competitive exams. By our point of you we expect 4 to 5 Inequality Questions that should be asked in these exams.

Inequality Reasoning is an important topic for banking exams like IBPS PO, SBI PO, LIC AAO etc. In these exams Inequality carries value of 4 to 5 marks from this topic. if you prepared well at Testzone you can easily score these 5 marks with help of some tricks and explanation by Smartkeeda at Testzone.
Inequality Reasoning will become very easy among the students if they are well known about speed, accuracy and very important which is strategy.

As a Conclusion, these are the basic concepts of attempting Banking Exams's Inequalities Questions. The main challenge of the Inequalities Reasoning is to check the kind of question presented which allows you to productively approach and solve it. However, that can only come with practice, practice and practice because as we all heard the fact "Practice Makes Man Perfect", and hence, keep practicing Inequalities Questions regularly gives you intelligence among this topic.

### Inequality Quizzes:

Inequality for SBI PO
Inequality Questions for SBI PO
Inequality for LIC AAO 2020
Inequality Questions for LIC AAO
Inequality Questions for bank
Inequality for bank exam

We hope, this article will help you to crack your next big exam like SBI PO, IBPS Pre LIC AAO 2020, IBPS PO, SBI Clerk 2020, IBPS Pre. If you are looking for mock test regarding these exams you can visit Testzone.