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- Inequalities Quiz 1

Important for :

1

B

Combining statements I and II, we get:

Y ≥ P < R

Here, we get opposite signs between Y and R and the given conclusion is R > Y, thus we cannot define any relation between R and Y. Hence, conclusion I does not follow.

Combining statements I and II, we get:

O = P < R ≤ J

Here, the common sign between O and J is < and the given conclusion is J > O.

Therefore, conclusion II follows.

Hence option B is correct.

2

A

Combining statements I and II, we get:

T > D ≥ P = R

Here, we can see the common sign between P and R is ‘>’.

Hence, conclusion I follows.

Combining statements I and II, we get:

D ≥ P ≤ F

Here, we can see the opposite sign between D and F, thus no relationship can be established between them.

Therefore, conclusion II does not follow.

Hence option A is correct.

3

4

A

Here, if we move from V to W, we can observe the common sign of inequalities is '>' whereas the given conclusion I is V ≥ W. Hence, conclusion I doesn't follow.

Here, moving from T to U, the common sign of inequalities is of '≤' which confirms that T is either less than or equal to U and the same can be interpreted as

Option A is hence the correct answer.

5

D

From the given statement, we get:

S = T ≥ U ≥ W

Here, the common sign between S and W is ‘≥’ and the given conclusions are S > W and W = S.

Moreover, we are aware that 'S = T' which means we can replace T with S in conclusion 2.

Hence, either conclusion I or conclusion II follows.

Option D is hence the correct answer.

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