MISSION IBPS EXAM: Reasoning -Inequality Concepts

Inequalities concepts and its application:

(i) A > B ≥ C (ii) A ≥ B > C
   > is common             A > C
   A > C

Table:

Answer Options:
(i) Only 1 is true
(ii) If only 2 is true
(iii) Either 1 or 2 true
(iv) Neither 1 nor 2 is true
(v) 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 ≤ V

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) T
    (ii) F (1)
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 (3)
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)

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