Long Type Inequalities MBA CET 2022 Actual Questions

Q1. Statement:  M ≥ O ≥ L ≥ T = E ≥ D

Conclusions:

I.  D ≤ O               

II. M ≥ E

(A) Both conclusion I and II are true.

(B) Neither conclusion I nor II is true.

(C) Only conclusion II is true.

(D) Either conclusion I or II is true.

(E) Only conclusion I is true.

EXPLANATION

Correct Option: A

Given statement:   M  ≥  O  ≥  L  ≥  T  =  E  ≥  D

Hence, both conclusion I and II are true. 

Q2. Statement:  B  <  C  =  D  ≤  X  ≤  Y  <  Z

Conclusions:

I.  B < X                    

II.  Z ≤ C

(A) Both conclusion I and II are true.

(B) Neither conclusion I nor II is true.

(C) Only conclusion II is true.

(D) Either conclusion I or II is true.

(E) Only conclusion I is true.

EXPLANATION

Answer: (E)

Hence, only conclusion I is true.

Q3. Statements:   B > A ≥ T > F = Y ≤ S < D

Conclusions: 

I. F < D

II. A > S 

(A) Only conclusion I follows

(B) Either conclusion I or conclusion II follows

(C) Only conclusion II follows

(D) Both conclusions follow

(E) Neither conclusion I nor conclusion II follows

EXPLANATION

Correct Option: A

Statements:   B > A ≥ T > F = Y ≤ S < D

Conclusions:  F < D ,  A > S 

For conclusion I: F < D

Here, the common sign between F and D is ‘<‘, hence F < D.

Thus conclusion I follows.

For conclusion II: A > S

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

Thus conclusion II does not follow.

Therefore only conclusion I follows.

Hence option A is correct.

Q4. Statements:   Y < O ≤ G ≤ K = U > L > P

Conclusions: 

I. O = U

II. U > O 

(A) Only conclusion I follows

(B) Either conclusion I or conclusion II follows

(C) Only conclusion II follows

(D) Both conclusions follow

(E) Neither conclusion I nor conclusion II follows

EXPLANATION

Correct Option: B

Statements:   Y < O ≤ G ≤ K = U > L > P

Conclusions:  O = U ,  U > O 

Here, the common sign between O and U is ‘≤’, hence O ≤ U.

Thus, either O < U or O = U.

Therefore either conclusion I or II follows.

Hence option B is correct.

Q5. Statements:   M < T < G ≤ J = U > Y > R

Conclusions: 

I. G < U

II. J > R

(A) Only conclusion I follows

(B) Either conclusion I or conclusion II follows

(C) Only conclusion II follows

(D) Both conclusions follow

(E) Neither conclusion I nor conclusion II follows

EXPLANATION

Correct Option: C

Statements:   M < T < G ≤ J = U > Y > R

Conclusions:  G < U ,  J > R 

Here, the common sign between G and U is ‘≤’, hence G < U does not follow.

Therefore conslusion I does not follow.

And, the common sign between J and R is ‘>’, thus J > R follows.

Therefore conclusion II follows.

Hence option C is correct.