Inequality - Solved Examples

Answer - D

Explanation

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

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

R∗S suggests that R is not higher than S

R&commat;S suggests that R is neither shorter than nor equal to S

R!S suggests that R is neither higher than nor equal to S

R&dollar;S suggests that R is neither shorter nor higher than S

R#S suggests that R is not shorter than S

Now, in each of the following questions, 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 2 − Statements: A&commat;B, B!C, C&dollar;D

Conclusions:

I. D&commat;B

II. D∗A

Give answer −

Answer - A

Explanation

Here only D is higher than B. Hence option A is correct.

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

R∗S suggests that R is not higher than S

R&commat;S suggests that R is neither shorter than nor equal to S

R!S suggests that R is neither higher than nor equal to S

R&dollar;S suggests that R is neither shorter nor higher than S

R#S suggests that R is not shorter than S

Now, in each of the following questions, 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 3 − Statements: P#S, S&commat;R, P∗N

Conclusions:

I. N&dollar;R

II. P&commat;R

Give answer −

Answer - B

Explanation

Here only P is higher than R. Hence option b is correct.

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

R∗S suggests that R is not higher than S

R&commat;S suggests that R is neither shorter than nor equal to S

R!S suggests that R is neither higher than nor equal to S

R&dollar;S suggests that R is neither shorter nor higher than S

R#S suggests that R is not shorter than S

Now, in each of the following questions, 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: N&dollar;S, S&commat;R, R#Q, Q#T

Conclusions:

I. N&commat;R

II. R#T

Give answer −

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 −

R∗S suggests that R is not higher than S

R&commat;S suggests that R is neither shorter than nor equal to S

R!S suggests that R is neither higher than nor equal to S

R&dollar;S suggests that R is neither shorter nor higher than S

R#S suggests that R is not shorter than S

Now, in each of the following questions, 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 5 − Statements: P!S, S#N, N&commat;R, P!Q

Conclusions:

I. Q&commat;S

II. S&commat;R

Give answer −

Answer - B

Explanation

Only S is higher than R is correct.

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

R∗S suggests that R is not higher than S

R&commat;S suggests that R is neither shorter than nor equal to S

R!S suggests that R is neither higher than nor equal to S

R&dollar;S suggests that R is neither shorter nor higher than S

R#S suggests that R is not shorter than S

Now, in each of the following questions, 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 6 − Statements: C&dollar;D, D&commat;E, D!G, C#P, P&commat;N

Conclusions:

I. D#P

II. C!G

Give answer −

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 −

R∗S suggests that R is not higher than S

R&commat;S suggests that R is neither shorter than nor equal to S

R!S suggests that R is neither higher than nor equal to S

R&dollar;S suggests that R is neither shorter nor higher than S

R#S suggests that R is not shorter than S

Now, in each of the following questions, 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: Z&dollar;R, R∗Q, Q#P, P!K

Conclusions:

I. Z#Q

II. P!Z

Give answer −

Answer - D

Explanation

Neither I nor II is valid. Hence option D is correct.

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

R∗S suggests that R is not higher than S

R&commat;S suggests that R is neither shorter than nor equal to S

R!S suggests that R is neither higher than nor equal to S

R&dollar;S suggests that R is neither shorter nor higher than S

R#S suggests that R is not shorter than S

Now, in each of the following questions, 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: P#S, S&commat;R, P∗N

Conclusions:

I. N&dollar;S

II. N&commat;S

Give answer −

Answer - C

Explanation

Here either N is higher than or equal to S. Hence option C is chosen.

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

R∗S suggests that R is not higher than S

R&commat;S suggests that R is neither shorter than nor equal to S

R!S suggests that R is neither higher than nor equal to S

R&dollar;S suggests that R is neither shorter nor higher than S

R#S suggests that R is not shorter than S

Now, in each of the following questions, 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: M#Q, Q&dollar;Z, M∗N

Conclusions:

I. N&dollar;Z

II. M&commat;Z

Give answer −

Answer - B

Explanation

Here only M is higher than Z. Hence option B is correct.

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

R∗S suggests that R is not higher than S

R&commat;S suggests that R is neither shorter than nor equal to S

R!S suggests that R is neither higher than nor equal to S

R&dollar;S suggests that R is neither shorter nor higher than S

R#S suggests that R is not shorter than S

Now, in each of the following questions, 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 10 − Statements: A#B, B&commat;C, A∗D

Conclusions:

I. D&dollar;B

II. D&commat;B

Give answer −