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- Inequalities Quiz 1

Some friends were discussing about their savings.

M says that his savings are not more than that of W.

W says that his savings are neither less than nor equal to S.

S says that his savings are not less than O, who is not the least saver.

T says that his savings are less than M but not less than P.

P says that his savings are less than M.

Important for :

1

I. W's savings are neither less than nor equal to O.

II. P's savings are less than O.

III. S's savings are more than O.

C

From the following explanation it is clear that "S's savings are more than O" is the only statement which is false.

Because S's savings are either more than or equal to O.

Hence option C is correct.

**Common Explanation:**

Reference:

M says that his savings are not more than that of W.

P says that his savings are less than M.

**Inference:**

P < M ≤ W

**Reference:**

W says that his savings are neither less than nor equal to S.

S says that his savings are not less than O, who is not the least saver.

T says that his savings are less than M but not less than P.

**Inference:**

The following equation can be drawn from the given hints.

P ≤ T < M ≤ W > S ≥ O

Because S's savings are either more than or equal to O.

Hence option C is correct.

Reference:

M says that his savings are not more than that of W.

P says that his savings are less than M.

P < M ≤ W

W says that his savings are neither less than nor equal to S.

S says that his savings are not less than O, who is not the least saver.

T says that his savings are less than M but not less than P.

The following equation can be drawn from the given hints.

P ≤ T < M ≤ W > S ≥ O

2

E

From the following explanation it is clear that P's savings are less than 5 people.

Hence option E is correct.

**Common Explanation:**

Reference:

M says that his savings are not more than that of W.

P says that his savings are less than M.

**Inference:**

P < M ≤ W

**Reference:**

W says that his savings are neither less than nor equal to S.

S says that his savings are not less than O, who is not the least saver.

T says that his savings are less than M but not less than P.

**Inference:**

The following equation can be drawn from the given hints.

P ≤ T < M ≤ W > S ≥ O

Hence option E is correct.

Reference:

M says that his savings are not more than that of W.

P says that his savings are less than M.

P < M ≤ W

W says that his savings are neither less than nor equal to S.

S says that his savings are not less than O, who is not the least saver.

T says that his savings are less than M but not less than P.

The following equation can be drawn from the given hints.

P ≤ T < M ≤ W > S ≥ O

3

I. O's savings are not more than W.

II. M's savings are not more than W.

III. P's savings are not more than W.

B

From the following explanation it is clear that "M's savings are not more than W" is the only statement which is correct.

Not more than signifies '≤ ' and only M and W holds this relationship among the given ones.

Hence option B is correct.

**Common Explanation:**

Reference:

M says that his savings are not more than that of W.

P says that his savings are less than M.

**Inference:**

P < M ≤ W

**Reference:**

W says that his savings are neither less than nor equal to S.

S says that his savings are not less than O, who is not the least saver.

T says that his savings are less than M but not less than P.

**Inference:**

The following equation can be drawn from the given hints.

P ≤ T < M ≤ W > S ≥ O

Not more than signifies '≤ ' and only M and W holds this relationship among the given ones.

Hence option B is correct.

Reference:

M says that his savings are not more than that of W.

P says that his savings are less than M.

P < M ≤ W

W says that his savings are neither less than nor equal to S.

S says that his savings are not less than O, who is not the least saver.

T says that his savings are less than M but not less than P.

The following equation can be drawn from the given hints.

P ≤ T < M ≤ W > S ≥ O

4

C

From the following explanation it is clear that 'P' is the least saver.

P is the least saver because O is clearly mentioned as not the least saver and among all the given persons P saves the least.

Hence option C is correct.

**Common Explanation:**

Reference:

M says that his savings are not more than that of W.

P says that his savings are less than M.

**Inference:**

P < M ≤ W

**Reference:**

W says that his savings are neither less than nor equal to S.

S says that his savings are not less than O, who is not the least saver.

T says that his savings are less than M but not less than P.

**Inference:**

The following equation can be drawn from the given hints.

P ≤ T < M ≤ W > S ≥ O

P is the least saver because O is clearly mentioned as not the least saver and among all the given persons P saves the least.

Hence option C is correct.

Reference:

M says that his savings are not more than that of W.

P says that his savings are less than M.

P < M ≤ W

W says that his savings are neither less than nor equal to S.

S says that his savings are not less than O, who is not the least saver.

T says that his savings are less than M but not less than P.

The following equation can be drawn from the given hints.

P ≤ T < M ≤ W > S ≥ O

5

A

From the following explanation it is clear that 'W' is the highest saver.

Hence option A is correct.

**Common Explanation:**

Reference:

M says that his savings are not more than that of W.

P says that his savings are less than M.

**Inference:**

P < M ≤ W

**Reference:**

W says that his savings are neither less than nor equal to S.

S says that his savings are not less than O, who is not the least saver.

T says that his savings are less than M but not less than P.

**Inference:**

The following equation can be drawn from the given hints.

P ≤ T < M ≤ W > S ≥ O

Hence option A is correct.

Reference:

M says that his savings are not more than that of W.

P says that his savings are less than M.

P < M ≤ W

W says that his savings are neither less than nor equal to S.

S says that his savings are not less than O, who is not the least saver.

T says that his savings are less than M but not less than P.

The following equation can be drawn from the given hints.

P ≤ T < M ≤ W > S ≥ O

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