MISSION IBPS EXAM: Reasoning -Inequality Concepts

Inequalities concepts and its application:

(i) A > B ≥ C 

     > is common               

     A > C  

(ii) A ≥ B > C

     A > C

Table:

Answer Options:

(1) Only 1 is true

(2) If only 2 is true

(3) Either 1 or 2 true

(4) Neither 1 nor 2 is true

(5) Both 1 and 2 are true

Examples:

1) P > Q > R < S ≥ T

 

A) (i) P > R (T)

    (ii) R < P (T) - (5)

B) (i) P > S (F) 

    (ii) R > P (F) - (4)

C) (i) R = T (F) 

    (ii) R > T (F) - (4)

2) P < Q ≤ R < S > T > U≠Z

A) (i) P < S 

    (ii) Q ≤ S

B) (i) R > T 

    (ii) S > U

C) (i) S > Z 

    (ii) R > P

D) (i) P ≤R

     (ii) Q ≤ S

E) (i) P > T 

    (ii) P ≤ S

F) (i) P = Z 

    (ii) U ≤ R

Answers:

A) (i) T 

    (ii) F  (1)

B) (i) F

    (ii) T  (2)

C) (i) F

    (ii) T  (2)

D) (i) F

    (ii) F  (4)

E) (i) F

    (ii) F  (4)

F) (i) F

    (ii) F  (4)

3) M≤ N≤ O< P; K = L≥ O > C

A) (i) M < O 

     (ii) M ≤ P

B) (i) K ≥ N

    (ii) M ≤ O

C) (i) P ≥ K 

    (ii) P ≤ M

D)  (i) M = C 

      (ii) N > C

E) (i) C > P 

    (ii) P = C

F) (i) D = O 

    (ii) D ≤ M

Answers:

A) (i) F

    (ii) F-(4)

B) (i) T

    (ii) T-(5)

C) (i) F 

    (ii) F-(4)

D) (i) F 

    (ii) F-(4)

E) (i) F 

    (ii) F-(4)

F) (i) F 

    (ii) F-(4)

4)T < P≤ U ;  L> U≤K ; P≥ R

A) (i) K≥ R

     (ii) L> R

B) (i) L > U ≥ P 

    (ii) R ≤ U

C) (i) T < K 

    (ii) L > T

D) (i) R > L 

   (ii) R ≤ L

E) (i) U ≤ R 

   (ii) T < R

Answers:

A) (i) T

    (ii) T (5)

B) (i) T 

    (ii) T (5)

C) (i) T

    (ii) T (5)

D) (i) F

    (ii) F (4)

E) (i) F

    (ii) F (4)

5) A≥B≠ C≥ F ;  Z < C ≤ D < E 

A) (i) A ≥ B > C

    (ii) D ≥ C ≥ F

B)  (i) A > E 

     (ii) D < B

C) (i) B > C 

    (ii) B < D

4) (i) F > E 

   (ii) F < E

5) (i) B < C ≥ F

   (ii) E ≥ C > B

Answers:

A) (i) F

    (ii) F (4)

B) (i) F

    (ii) F (4)

C) (i) F

    (ii) F (4)

D) (i) F

    (ii) T (2)

E) (i) F 

    (ii) F (4)

Either or condition

1)Subject and predicate of the 2 conclusions should be same (may not be in the same order) 

2)Individually both conclusions should be false 

3)Both conclusions should cover maximum solutions according to the given statement. 

5)A ≥ B≥ C

A) (i) A > C 

    (ii) A = C

B) (i) C < A 

    (ii) C = A

C) (i) C ≠ A 

    (ii) A = C

D) (i) A > C 

    (ii) A < C

E) (i) A > C 

    (ii) A ≤ C

Answers:

A) (i) F 

    (ii) F (3)

2) (i) F 

    (ii) F (3)

3) (i) F 

    (ii) F (4)

4) (i) F 

   (ii) F (4)

5) (i) F 

    (ii) F (4)

Exceptions to Either Or

6) P > Q > R < S

 A) (i) P≤ S 

     (ii) P≥ S

B) (i) P ≠ S 

    (ii) S = P

C) (i) U ≤ V

    (ii) U ≥ V

D) (i) S>P

    (ii) S≤P

E) (i) P≠ T (> ,<) 

    (ii) P = T

F) (i) U≤ V

    (ii) V ≥ U

G) (i) P ≤ T

    (ii) P ≥ R

H) (i) P ≤ T

    (ii) P > R

Note: Even though T is not there in the statement, but if there is no definite relation between the ‘2’ letters and covers 3 maximum relations, then it is not false.

Answers:

A) (i) F 

    (ii) F (3)

B) (i) F 

    (ii) F (3)

C) (i) F 

    (ii) F (3)

D) (i) F 

  v (ii) F (3)

E) (i) F 

    (ii) F (3)

F) (i) F 

    (ii) F (4)

G) (i) F 

    (ii) F (4)

H) (i) F 

    (ii) T (2)