# High Level Inequality Questions For SBI PO

Download SBI PO High Level Inequality Questions & Answers PDF for SBI Clerk Prelims and Mains exam. Very Important SBI PO High Level Inequality questions on with solutions.

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**Instructions**

In the following question, the relationship between different elements is given along with two conclusions. Find out the conclusion which definitely follows from the given relationship and choose the option accordingly.

**Question 1:Â **$ Z\geq Y\geq X=W ; W= P ; B>Z>A\geq C$

Conclusion I : $Z\geq P $

Conclusion II: $ A=Y $

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Question 2:Â **$X=Y=Z ; S>R\geq Z ; P>Q\geq R$

Conclusion I : $ P\geq Z$

Conclusion II: $ S>X $

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Question 3:Â **$A>B\geq C\geq D ; H = K = N ; G = C \geq F = H$

Conclusion I : $A>H$

Conclusion II: $B\geq N$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Instructions**

In the following question, the relationship between different elements is given along with two conclusions. Find out the conclusion which definitely follows from the given relationship and choose the option accordingly.

**Question 4:Â **$P < A \leq N = I < C; J \geq O > Y; P \geq J;$

Conclusion I : $I \geq Y$

Conclusion II: $O \leq N$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Question 5:Â **$T \leq A \leq L; E < N \leq D = Z \leq F < R; T \geq R;$

Conclusion I : $L > R$

Conclusion II: $E < T$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

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**Question 6:Â **$B \leq O < K \leq E < Y; V > R = C \geq D; V \leq B$

Conclusion I : $K > C$

Conclusion II: $D < E$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Instructions**

In the following question, the relationship between different elements is given along with two conclusions. Find out the conclusion which definitely follows from the given relationship and choose the option accordingly.

**Question 7:Â **$R = E \geq M > O; B \leq I = T \leq S = H; R \leq B$

Conclusion I : $E \leq S$

Conclusion II: $H > M$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Question 8:Â **$H \leq A \leq R = S < T; K \geq E > Y; K \leq H;$

Conclusion I : $S > E$

Conclusion II: $Y \leq R$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Question 9:Â **$M \leq F \leq G; T < R \leq I = C \leq H < Y; T \geq G;$

Conclusion I : $M \leq H$

Conclusion II: $Y > G$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Question 10:Â **$Q \leq U < A \leq N < T; D > I = L \geq R; T \leq R$

Conclusion I : $I \geq T$

Conclusion II: $Q < D$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

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**Instructions**

**Question 11:Â **$B \leq O = T \leq L = E; M > S \geq U > Q; E \leq Q$

Conclusion I : $M > O$

Conclusion II: $B < Q$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Question 12:Â **$N \leq O \leq V = A; S \geq B > T; A \leq T;$

Conclusion I : $T > N$

Conclusion II: $O \leq S$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Question 13:Â **$ W < A \leq T = C \leq H; L \leq E = G \leq O; W \geq O;$

Conclusion I : $W > L$

Conclusion II: $H > O$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Question 14:Â **$P \leq G < H \leq R; J > E = S \geq I > C = A; R \leq A$

Conclusion I : $E > P$

Conclusion II: $J > H$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Instructions**

**Question 15:Â **$D \leq O < N \leq A; H \geq B > S; A \leq S;$

Conclusion I : $H \geq D$

Conclusion II: $O \leq S$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

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**Question 16:Â **$L \leq O = C \leq T; K < E \leq Y; Y \leq L;$

Conclusion I : $T > Y$

Conclusion II: $O \geq E$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Question 17:Â **$M \leq I < K \leq Y; H > A = R \geq V > E = Y; M \geq D$

Conclusion I : $I < R$

Conclusion II: $D \leq I$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Instructions**

**Question 18:Â **$X < Y \leq Z< W; M > N \geq W; X > K$

Conclusion I : $N > X$

Conclusion II: $Y < M$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Question 19:Â **$F \geq K > Z \geq P; W > V \geq D; P = W$

Conclusion I : $Z \geq D$

Conclusion II: $F\leq V$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

**Question 20:Â **$E = F \geq T \geq R; Q > J = O; Q < Z < R$

Conclusion I : $Z < F$

Conclusion II: $T >O$

a)Â Only conclusion I follows

b)Â Only conclusion II follows

c)Â Both the conclusions follow

d)Â Either conclusion I or conclusion II follows

e)Â None of the conclusions follows

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**Answers & Solutions:**

**1)Â AnswerÂ (A)**

$Z\geq Y\geq X=W= P$ i.e. $ Z\geq P $. Therefore, conclusion 1 follows.

No relation between A and Y can be established. Therefore, conclusion 2 does not follow

Hence, option A is the correct answer.

**2)Â AnswerÂ (B)**

$ P>Q\geq R\geq Z $ i.e. $ P> Z $. Hence, conclusion 1 does not follow

$ S>R\geq Z=X $ i.e. $ S>X $. Hence, conclusion 2 follows

Hence, option B is the correct answer.

**3)Â AnswerÂ (C)**

$A>B\geq C \geq F = H$. Hence, $ A>H $. Therefore, conclusion 1 follows.

$ B \geq C \geq F = H =K = N $ i.e. $B\geq N$.Therefore, conclusion 2 follows.

Hence, option C is the correct answer.

**4)Â AnswerÂ (E)**

From $J \geq O > Y$ and $P \geq J$; we can say that $P \geq J \geq O > Y$.

From $P \geq J \geq O > Y$ and $P < A \leq N = I < C$ we can say that $C > I = N \geq A > P \geq J \geq O > Y$.

In conclusion I, it should be $I > Y$, hence conclusion I is incorrect.

In conclusion II, it should be $O < N$, hence conclusion II is incorrect.

We can see that both the conclusions are false. Therefore, option E is the correct answer.

**5)Â AnswerÂ (B)**

From $T \leq A \leq L$; and $T \geq R$; we can say that $L \geq A \geq T \geq R$.

From $L \geq A \geq T \geq R$ and $E < N \leq D = Z \leq F < R$ we can say that $L \geq A \geq T \geq R > F \geq Z = D \geq N > E$

In conclusion I, it should be $L \geq R$, hence conclusion I is incorrect.

We can see that only conclusion II is true. Therefore, option B is the correct answer.

**6)Â AnswerÂ (C)**

From $V > R = C \geq D$; and $V \leq B$; we can say that $B \geq V > R = C \geq D$.

From $B \geq V > R = C \geq D$ and $B \leq O < K \leq E < Y$ we can say that $Y > E \geq K > O \geq B \geq V > R = C \geq D$.

We can see that both the conclusions are true. Therefore, option C is the correct answer.

**7)Â AnswerÂ (A)**

From $R = E \geq M > O$ and $R \leq B$ we can say that $B \geq R = E \geq M > O$.

From $B \geq R = E \geq M > O$ and $B \leq I = T \leq S = H$ we can say that $H = S \geq T = I \geq B \geq R = E \geq M > O$.

In conclusion II, it should be $H \geq M$, hence, conclusion II is incorrect.

We can see that the conclusion I is true. Therefore, option A is the correct answer.

**8)Â AnswerÂ (E)**

From $K \geq E > Y$ and $K \leq H$; we can say that $H \geq K \geq E > Y$.

From $H \geq K \geq E > Y$ and $H \leq A \leq R = S < T$ we can say that $T > S = R \geq A \geq H \geq K \geq E > Y$.

In conclusion I, it should be $S \geq E$, hence conclusion I is incorrect.

In conclusion II, it should be $Y < R$, hence conclusion II is incorrect.

We can see that both the conclusions are false. Therefore, option E is the correct answer.

**9)Â AnswerÂ (B)**

From $T < R \leq I = C \leq H < Y$; and $T \geq G$; we can say that $Y > H \geq C = I \geq R > T \geq G$.

From $Y > H \geq C = I \geq R > T \geq G$ and $M \leq F \leq G$ we can say that $Y > H \geq C = I \geq R > T \geq G \geq F \geq M$

In conclusion I, it should be $M < H$, hence conclusion I is incorrect.

We can see that only conclusion II is true. Therefore, option B is the correct answer.

**10)Â AnswerÂ (C)**

From $D > I = L \geq R$; and $T \leq R$; we can say that $D > I = L \geq R \geq T$.

From $D > I = L \geq R \geq T$ and $Q \leq U < A \leq N < T$ we can say that $D > I = L \geq R \geq T > N \geq A > U \geq Q$.

We can see that both the conclusions are true. Therefore, option C is the correct answer.

**11)Â AnswerÂ (A)**

From $E \leq Q$ and $M > S \geq U > Q$; we can say that $M > S \geq U > Q \geq E$.

From $M > S \geq U > Q \geq E$ and $B \leq O = T \leq L = E$ we can say that $M > S \geq U > Q \geq E = L \geq T = O \geq B$.

In conclusion II, it should be $B \leq Q$ hence, conclusion II is incorrect.

We can see that the conclusion I is true. Therefore, option A is the correct answer.

**12)Â AnswerÂ (E)**

From $S \geq B > T$ and $A \leq T$; we can say that $S \geq B > T \geq A$.

From $S \geq B > T \geq A$ and $N \leq O \leq V = A$ we can say that $S \geq B > T \geq A = V \geq O \geq N$.

In conclusion I, it should be $T \geq N$, hence conclusion I is incorrect.

In conclusion II, it should be $O < S$, hence conclusion II is incorrect.

We can see that both the conclusions are false. Therefore, option E is the correct answer.

**13)Â AnswerÂ (B)**

From $W < A \leq T = C \leq H$; and $W \geq O$; we can say that $H \geq C = T \geq A > W \geq O$.

From $H \geq C = T \geq A > W \geq O$ and $L \leq E = G \leq O$ we can say that $H \geq C = T \geq A > W \geq O \geq G = E \geq L$.

In conclusion I, it should be $W \geq L$, hence conclusion I is incorrect.

We can see that only conclusion II is true. Therefore, option B is the correct answer.

**14)Â AnswerÂ (C)**

From $J > E = S \geq I > C = A$; and $R \leq A$; we can say that $J > E = S \geq I > C = A \geq R$.

From $J > E = S \geq I > C = A \geq R$ and $P \leq G < H \leq R$ we can say that $J > E = S \geq I > C = A \geq R \geq H > G \geq P$.

We can see that both the conclusions are true. Therefore, option C is the correct answer.

**15)Â AnswerÂ (E)**

From $H \geq B > S$ and $A \leq S$; we can say that $H \geq B > S \geq A$.

From $H \geq B > S \geq A$ and $D \leq O < N \leq A$ we can say that $H \geq B > S \geq A \geq N > O \geq D$.

In conclusion I, it should be $H > D$, hence conclusion I is incorrect.

In conclusion II, it should be $O < S$, hence conclusion II is incorrect.

We can see that both the conclusions are false. Therefore, option E is the correct answer.

**16)Â AnswerÂ (B)**

From $K < E \leq Y$; and $Y \leq L$; we can say that $L \geq Y \geq E > K$.

From $L \geq Y \geq E > K$ and $L \leq O = C \leq T$ we can say that $T \geq C = O \geq L \geq Y \geq E > K$.

In conclusion I, it should be $T \geq Y$, hence conclusion I is incorrect.

We can see that only conclusion II is true. Therefore, option B is the correct answer.

**17)Â AnswerÂ (C)**

From $M \leq I < K \leq Y$; and $H > A = R \geq V > E = Y$; we can say that $H > A = R \geq V > E = Y \geq K > I \geq M$.

From $H > A = R \geq V > E = Y \geq K > I \geq M$ and $M \geq D$ we can say that $H > A = R \geq V > E = Y \geq K > I \geq M \geq D$.

We can see that both the conclusions are true. Therefore, option C is the correct answer.

**18)Â AnswerÂ (C)**

$N\geq W>Z\geq Y>X$. Thus, $N>X$. Hence, conclusion 1 follows.

$M>N\geq W>Z\geq Y$. Thus, $M>Y$. Hence, conclusion 2 follows.

Thus, both the conclusions follows.

Hence, option C is the correct answer.

**19)Â AnswerÂ (E)**

$Z\geq P=W>V\geq D$. Thus, $Z>D$. Hence, conclusion 1 does not follow

$F\geq K > Z\geq P=W>V$. Thus, $F>V$. Hence, conclusion 2 does not follow.

Thus, none of the conclusion follows.

Hence, option E is the correct answer.

**20)Â AnswerÂ (C)**

$ F\geq T\geq R>Z $. Thus, $ Z>F $. Hence, conclusion 1 follows.

$ T\geq R>Z>Q>J=O$. Thus, $T>O$. Hence, conclusion 2 follows.

Thus, both the conclusion follows.

Hence, option C is the correct answer.