# Inequality Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Inequality**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

In this question, a relationship between different elements is shown in the statements. The statements are followed by two conclusions.

Q 1 - Statements: P≤Q≤M = J, Q = R

Conclusions:

I. M >R

II. P = R

Give answer if:

A - If only conclusion I is valid.

B - If only conclusion II is valid.

C - If either conclusion I or II is valid.

### Answer : D

### Explanation

None of the given options are valid, hence option D is correct.

In this question, a relationship between different elements is shown in the statements. The statements are followed by two conclusions.

Q 2 - Statements: P≥R>M = N≥Z>Y

Conclusions:

I. P>N

II. R>Z

Give answer if:

A - If only conclusion I is valid.

B - If only conclusion II is valid.

C - If either conclusion I or II is valid.

### Answer : E

### Explanation

Both I and II are correct. Hence option E is the answer.

In this question, a relationship between different elements is shown in the statements. The statements are followed by two conclusions.

Q 3 - Statements: U≤A<M, P≥H<C = M

Conclusions:

I. A>H

II. C>U

Give answer if:

A - If only conclusion I is valid.

B - If only conclusion II is valid.

C - If either conclusion I or II is valid.

### Answer : B

### Explanation

Here only C is higher than U. Hence option B is correct.

In the following question some symbols are used with the letters having the following meanings as illustrated below:

A&B indicates that A is neither higher than nor equal to B

A%B indicates that A is not higher than B

A8B indicates that A is neither shorter than nor equal to B

A$B indicates that A is neither shorter nor higher than B

A@B indicates that A is not shorter than B

Now, in the following question, assuming the given statements to be valid, find out which of the two conclusions I and II given below them is /are definitely valid.

Q 4 - Statements: H$L, L8E, L&S, H@Q, P8N

Conclusions:

I. L@Q

II. H&S

Give answer if:

A - If only conclusion I is valid.

B - If only conclusion II is valid.

C - If either conclusion I or II is valid.

### Answer : E

### Explanation

Both the conclusions are valid. Hence option E is correct.

Q 5 - Statements: L≤W≤M = J, W = K

Conclusions:

I. M>K

II. L = K

Give answer if:

A - If only conclusion I is valid.

B - If only conclusion II is valid.

C - If either conclusion I or II is valid.

### Answer : D

### Explanation

None of the given options are valid, hence option D is correct.

Q 6 - Statements: Z<K<D<H, K>Y

Conclusions:

I. Z<Y

II. H>Y

Give answer if:

A - If only conclusion I is valid.

B - If only conclusion II is valid.

C - If either conclusion I or II is valid.

### Answer : B

### Explanation

Only conclusion II is correct because we can see that H is higher than Y. Hence option B is correct.

In the following question, some symbols are used with the letters having the following meanings as illustrated below:

M×N suggests that M is not higher than N

M∼N suggests that M is neither shorter than nor equal to N

M&N suggests that M is neither higher than nor equal to N

M()N suggests that M is neither shorter nor higher tha

M#N suggests that M is not shorter than N

In the following question, assuming the given statements to be valid, find out which of the two conclusions I and II given below them is /are definitely valid.

Q 7 - Statements: I#K, K∼C, I×D

Conclusions:

I. D()K

II. D∼K

Give answer:

A - If only conclusion I is valid.

B - If only conclusion II is valid.

C - If either conclusion I or II is valid.

### Answer : C

### Explanation

Here either D is higher than K or equal to K. Hence option C is chosen.

In the following question, some symbols are used with the letters having the following meanings as illustrated below:

M×N suggests that M is not higher than N

M∼N suggests that M is neither shorter than nor equal to N

M&N suggests that M is neither higher than nor equal to N

M()N suggests that M is neither shorter nor higher tha

M#N suggests that M is not shorter than N

In the following question, assuming the given statements to be valid, find out which of the two conclusions I and II given below them is /are definitely valid.

Q 8 - Statements: A()Z, Z∼P, P#I, I#O

Conclusions:

I. A∼P

II. P#O

Give answer:

A - If only conclusion I is valid.

B - If only conclusion II is valid.

C - If either conclusion I or II is valid.

### Answer : E

### Explanation

Both the conclusions are valid. Hence option E is correct.

In the following question, some symbols are used with the letters having the following meanings as illustrated below:

Y\Z suggests that Y is not higher than Z

Y+Z suggests that Y is neither shorter than nor equal to Z

Y-Z suggests that Y is neither higher than nor equal to Z

Y∗Z suggests that Y is neither shorter nor higher than Z

Y = Z suggests that Y is not shorter than Z

In the following question, assuming the given statements to be valid, find out which of the two conclusions I and II given below them is /are definitely valid.

Q 9 - Statements: J = Y, Y+R, P\K

Conclusions:

I. K∗Y

II. K+Y

Give answer:

A - If only conclusion I is valid.

B - If only conclusion II is valid.

C - If either conclusion I or II is valid.

### Answer : C

### Explanation

Here either N is higher than or equal to Y. Henceoption C is chosen.

Y\Z suggests that Y is not higher than Z

Y+Z suggests that Y is neither shorter than nor equal to Z

Y-Z suggests that Y is neither higher than nor equal to Z

Y∗Z suggests that Y is neither shorter nor higher than Z

Y = Z suggests that Y is not shorter than Z

Q 10 - Statements: D+Q, Q-G, G∗L

Conclusions:

I. L = D

II. L = Q

Give answer:

A - If only conclusion I is valid.

B - If only conclusion II is valid.

C - If either conclusion I or II is valid.

### Answer : D

### Explanation

Neither L is higher than or equal to D nor L is higher than or equal to Q. Hence option D is correct.