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In almost all Govt Job exams, bank IBPS PO/ Clerk/ Specialist Officer exams , teaching TET SET exams, basic inequality questions are common type of reasoning question which is asked very frequently. Being an aspirant to those exam you should always focus upon inequality question section as it is easy and good scoring section. Also this is a scoring section and you can expect 5-6 question in exam from here.
Below we have listed very important tips and tricks/ inequality question Questions for Entrance Exam,Bank- IBPS PO, clerk EXAM and also for various state Govt exams for like Cooperative banks,LIC, Railways etc.
Combination between two inequalities can be established if they have a common term or vice versa. Let us first learn what questions are covered under inequality reasoning section.
1. > ≥ =
For example-
If A>K≥M=O
Then, A> M and A>O
2. < ≤ =
For ex- If P<X≤V=Y
Then, P<Y and P<V
3. > < (No relation)
For ex- If A>K<B
Then there will be no relation between A and B.
4. > ≤ (No relation)
For ex- If A>J≤B
Then there will be no relation between A and B.
5. < > (No relation)
For ex- If F<E>Q
Then there will be no relation between F and Q.
6. < ≥ (No relation)
For ex- If D<S≥B
Then there will be no relation between D and B.
Example :
Statement: P=Q≥R≥S=T
Conclusion I: (a)P>T (b)P=T
From the above statement it is clear that P is either equals to T or P is greater than T ,So individually both the conclusions are wrong but by combining them we will get that P is either greater than or equals to T (P≥T).
Statement: L≥K<E≥A>F≥B
Conclusions: I.L<B II.B≤L
This is another example showing that no direct relation is found between B and L and all the three possible conditions as L>B, L<B or L=B can be there. So the answer will be either conclusion I or II follow.
Tip :
Change the sign into similar opposite / corresponding/alternative direction .
If A > B > F > C < D < E
than F < A → True [ ∵ A > B > F = F < B < A ] Example:Statements : A>B>F>C; D>E>CConclusions:
I. C < A → True
II. C > A → False
coded Inequalities
Encoded in qualities reasoning question symbol or use instead of>, < etc.The symbols @, &, %, $ and # are used with the following meaning as illustrated below:
‘P @ Q’ means ‘P is not smaller than Q’
‘P &Q’ means ‘P is neither greater than nor equal to Q’
‘P# Q’ means ‘P is neither greater than nor smaller than Q’
‘P $ Q’ means ‘P is not greater than Q’
‘P % Q’ means ‘P is neither smaller than nor equal to Q’.
Question 1 :
Statements: R @ V, V $ J, J &K
Conclusions I. K % R II. J @ R III. K % V
(a) Only I is true
(b) Only II is true
(c) Only I and II are true
(d) Only III is true
(e) None of these
Question 2:
Statements: M $ T, T& J, J #N
Conclusions: I. N % M II. J % M III. M $ N
(a) Only I is true
(b) Only II is true
(c) Only I and II are true
(d) All are true
(e) None of these
Question 3:
Statements: R > I = N > P Y ≥ R > K N ≤ E < Z
Conclusions: K > I, I < Z
A) Only conclusion II follows.
B) Only conclusion I follows.
C) Both conclusion I and II follow.
D) Neither conclusion I nor conclusion II follows.
E) Either conclusion I or conclusion II follows.
Question 3:
Statements: C < H = J , X ≤ Y < J , N > X ≥ Z
Conclusions: Y > Z , Y = Z
A ) Both conclusions I and II follow
B) Either conclusion I or II follow
C) Only conclusion I follows
D) Only conclusion II follows
E)Neither conclusion I nor II follows
Question 4:
Statements: F < G < D , D < H > C , F = C < A
Conclusions: G < C , H = A
A)Both conclusions I and II follow
B)Either conclusion I or II follows
C) Only conclusion I follows
D) Only conclusion II follows
E) Neither conclusion I nor II follows
Question 5:
Statements: T > K > Y , J ≤ K = G , I > C ≥ G , M ≤ I < N
Conclusions: N > K , C ≤ T, M < J
A) Both conclusions II and III follow
B) Either conclusion I or III follows
C) Only conclusion I follows
D) Only conclusion I follows
E) None of the conclusions follows
Direction (1-6): Relationship between different elements is shown in the statements. Find if the conclusions also follow or not.