Inequality MCQ Quiz - Objective Question with Answer for Inequality - Download Free PDF

Given statements are N > H > Q = X and H = F = C < T

Combining the statements we get

N > H = F = C > Q = X

OR, T > H = F = C > Q = X (Because relation between N and T is not defined)

1) C < X (False, N > H = F = C > Q = X ⇒ C > X)

2) Q < C (True, N > H = F = C > Q = X)

3) H < T (True, T > H = F = C > Q = X)

4) N > X (True, N > H = F = C > Q = X)

Hence, C < X is the correct answer.

1) M > Q → False (as Q ≤ C ≤ B = M → M gives either M = Q or M > Q).

2) D ≤ Q → False (as Q ≤ C ≤ B = M > D)

3) M = Q → False (as Q ≤ C ≤ B = M → M gives either M = Q or M > Q).

4) C < D → False (as C ≤ B = M > D).

P > Q ≤ C ≤ B = M > D is given in statement. Therefore but Conclusion I and III forms a complementary pair for either.

Thus, the correct answer is option 1.

Statements: B < D, C = E, F > D, E < G, K = G, C < F

Conclusions:

1. G > C → True (C = E < G, it gives G > C)

2. G < C → False (C = E < G, it gives G > C)

Thus, only Conclusion 1 follows.

Hence, the correct answer is "Option 3".

Given Statement: A ≤ G < D ≥ M

Given Statement: R > H ≥ M

Now,

Conclusions:

Option 1: H ≤ G → False (H ≥ M and G > M No relation between H and G)

Option 2: D > A → True (A ≤ G < D It gives D > A)

Option 3: R ≥ A → False (R > H ≥ M and A ≤ G < D ≥ M No direct relation between R and A)

Option 4: R ≥ D → False (R > H ≥ M and D ≥ M No direct relation between R and D)

Hence, the correct answer is "Option 2".

Given Statement: R > G > A > B = D = F > S

Now,

Conclusions:

1. S > D → False (D = F > S. This clearly implies that S is smaller than D.)

2. F > R → False (R > G > A > B = D = F. This clearly implies that R is greater than F. )

3. A > F → True (A > B = D = F. From this, we see that A is definitely greater than F.)

4. A > R → False (R > G > A. This clearly states the opposite that is R is greater than A.)

Here, Conclusions 3 follows.

Hence, the correct answer is "Option 3".

The given statement is: C < L > I = E ≥ N > T

Conclusion i) I > T

From the statement, we can see that I = E, and E ≥ N > T. Therefore, I > T is logically correct. Hence, conclusion i) is logical.

Conclusion ii) T < C

From the statement, we can see that C < L > I. However, there is no direct relation between C and T. Therefore, we cannot conclude that T < C. Hence, conclusion ii) is not logical.

Therefore, the only conclusion that is logical is i), 

Hence, the correct answer is option A.

Given Statements:  C = U < F ≤ H > G = I > R

Conclusions:

I. H > R → True (as H > G = I > R → as H is greater than G,I and I is greater than R.)

II. H > C → True (as in  C = U < F ≤ H → as C is equal to U and less than F . F is less than H. hence, H is greater than C. )

Hence, 'Both conclusions I and II are true'.

Given:

J > K = L, M \( \ge \) N < K, O < J < P, N > Q > R

Conclusions:

I. P > M → False

We have P > J and J > K which means P > K

also M \( \ge \) N < K so relation between P and M cannot be determined.

II. N < P → True

We have P > J and J > K which means P > K also N < K (given)

when we combine both the relations we get, P > K > N so P > N.

So only conclusion II is true.

Hence, the correct answer is Option 4.

Given statement: S = Q > R ≤  U = M > B

According to the given information:

​S is equal to Q, Q is greater than R, R is less than or equal to U, U is equal to M, and M is greater than B.

Conclusions:

I. Q > U → False( Q > R ≤ U; A definite relation cannot be established between Q and U)

.II. R < S → True ( S = Q > R; S > R → R < S)

​Hence, the correct answer is "Only II is true".

Given Statement: C ≤ U < E; C = O > M ≥ T; M = A > L

Now,

Combined Statement: C ≤ U < E; C = O > M ≥ T; M = A > L

Conclusions:

i): E > M → True (From C ≤ U < E and C = O > M, it implies E > M)

ii): C ≥ T → False (From C = O > M ≥ T, it implies C > T or C = T)

iii): L > T → False (From M = A > L and M ≥ T, no direct relation can be established between L and T)

So, only conclusions (i) follow,

Hence the correct answer is 'Option (3)'.

Given inequality is: P ≤ Q ≥ R; E ≥ Q; L < Q = D

1. L < P → P ≤ Q, L < Q, data is not sufficient to determine the relation → False

2. E ≥ R → E ≥ Q ≥ R, E ≥ R → True.

3. E < D → E ≥ Q, L < Q = D, E ≥ D → False.

4. Q < R → Q ≥ R → False.

Given inequality is, P > Q ≤ R = S ≥ T

1. Q > S → Q ≤ R = S, Q < S → False.

2. Q = T → Q ≤ R = S ≥ T, data is not sufficient to determine the relation → False.

3. R < T → R = S ≥ T, R ≥ T → False.

Given statements: Q > J ≥ M > L = K < S

I. Q > L → True (as Q > J ≥ M > L)

II. J > K → True (as J ≥ M > L = K)

III. L < S → True (as L = K < S)

Given: 

D < Y > E ≥ A < O < C 

Conclusions:

I. D < O ⇒ False (D < Y > E ≥ A < O Relation can't be established between D and O).

II. E > C ⇒ False (E ≥ A < O < C Relation can't be established between E and C).

So, neither conclusion I nor II is true.

Hence, the correct answer is 'option 1'.

Given Statement: P ≤ T < K = Y ≥ S ≥ E < L

Now,

Conclusions:

1) K > E → False (K = Y ≥ S ≥ E, this gives K ≥ E).

2) E = K → False (K = Y ≥ S ≥ E, this gives K ≥ E).

Here, both the conclusions are false but it forms the complementary pair for Either Or.

So, Either conclusion 1 or 2 is true.

Hence, the correct answer is 'Option 2'.

Additional Information Conditions of Either-or case:

1. The elements should be the same in both the statements.

2. Both the conclusions should be false individually.

3. One conclusion should be positive and one conclusion should be negative (Complementary pair)

The two complementary pairs are:

1) All + Some not

2) No + Some

Note: Some + Some not is not considered under Either - or case.