# Inequality Logic NMAT 2023

In this question, relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusions based on the given statement and select the appropriate answer.

Q1. Statements: A<B<C=G, G≥K<L, K≥F
Conclusions: I. G>F
II. G=F
(a) Only conclusion I is true
(b) Only conclusion II is true
(c) Either conclusion I or II is true
(d) Both conclusions I and II are true
(e) Neither conclusion I nor II is true

Q2. Statements: A = P <W < V >K > Q; B < A; K = M
Conclusions: I. M>Q
II. A > V
(a) Only conclusion I is true
(b) Only conclusion II is true
(c) Either conclusion I or II is true
(d) Both conclusions I and II are true
(e) Neither conclusion I nor II is true

Q3. Statements: A = P <W < V >K > Q; B < A; K = M
Conclusions: I. B<V
II. V>Q
(a) Only conclusion I is true
(b) Only conclusion II is true
(c) Either conclusion I or II is true
(d) Both conclusions I and II are true
(e) Neither conclusion I nor II is true

Q4. Statements: H ≤ G = B < E; B ≤ W
Conclusions: I. H < E
II. H≤B
(a) Only conclusion I is true
(b) Only conclusion II is true
(c) Either conclusion I or II is true
(d) Both conclusions I and II are true
(e) Neither conclusion I nor II is true

Q5. Statements: M <U ≤ Q < L = V < W ≥ Y; B = V ≤ R
Conclusions: I. Y< B
II. R < Q
(a) Only conclusion I is true
(b) Only conclusion II is true
(c) Either conclusion I or II is true
(d) Both conclusions I and II are true
(e) Neither conclusion I nor II is true

Solutions

S1. Ans. (c)
Sol. I. G>F (false)
II. G=F (false)

S2. Ans. (a)
Sol. I. M>Q(true)
II. A > V(false)

S3. Ans. (d)
Sol. I. B<V(true)
II. V>Q(true)

S4. Ans. (d)
Sol. I. H<E(true)
II. H≤B(true)

S5. Ans. (e)
Sol. I. Y< B(false)
II. R < Q(false)

Direction (1-4): In the following questions assuming the given statement to be true, find which of the conclusion(s) among given conclusions is/are definitely true and then give your answers accordingly.

Q1. Statements: C > F, A < B ≤ E = G, F ≥ D = A
Conclusions: I. C ≥ A
II. G > F
(a) Only I is true
(b) Only II is true
(c) Either I or II is true
(d) Neither I nor II is true
(e) Both I and II are true

Q2. Statements: R ≤ S = T, P = Q < R, T > U ≥ V
Conclusions: I. P < T
II. S > V
(a) Only I is true
(b) Only II is true
(c) Either I or II is true
(d) Neither I nor II is true
(e) Both I and II are true

Q3. Statements: A = K ≥ L, J ≤ I < O, L > P = J
Conclusions: I. O ≥ L
II. A > J
(a) Only I is true
(b) Only II is true
(c) Either I or II is true
(d) Neither I nor II is true
(e) Both I and II are true

Q4. Statements: R ≥ F > K, D > Q = R, K ≤ M < S
Conclusions: I. Q > F
II. Q = F
(a) Only I is true
(b) Only II is true
(c) Either I or II is true
(d) Neither I nor II is true
(e) Both I and II are true

Direction (5-8): In the following questions assuming the given statement to be true, find which of the conclusion(s) among given conclusions is/are definitely true and then give your answers accordingly.

Q5. Statements: A = G > N ≥ W, V < B ≤ N, W > S = U
Conclusions: I. A > B
II. N ≥ U
(a) Only I is true
(b) Only II is true
(c) Either I or II is true
(d) Neither I nor II is true
(e) Both I and II are true

Q6. Statements: S ≥ P = H < G, P < Y ≤ J = X, Y ≥ F = Z
Conclusions: I. J > S
II. X > Z
(a) Only I is true
(b) Only II is true
(c) Either I or II is true
(d) Neither I nor II is true
(e) Both I and II are true

Q7. Statements: T > Y ≤ U = I > O, E = O > L = K, S = I > X ≤ C
Conclusions: I. U > K
II. T > S
(a) Only I is true
(b) Only II is true
(c) Either I or II is true
(d) Neither I nor II is true
(e) Both I and II are true

Q8. Statements: O > E ≥ X < B > L, F = W > E ≤ G, S = X > Q
Conclusions: I. F > O
II. O > Q
(a) Only I is true
(b) Only II is true
(c) Either I or II is true
(d) Neither I nor II is true
(e) Both I and II are true

Direction (9-10): In the following questions assuming the given statement to be true, find which of the conclusion(s) among given conclusions is/are definitely true and then give your answers accordingly.

Q9. Statements: J = E ≥ W = N, M < J ≤ H = Q, M > T = Y ≤ B
Conclusions: I. Q > Y
II. J = B
(a) Only I is true
(b) Only II is true
(c) Either I or II is true
(d) Neither I nor II is true
(e) Both I and II are true

Q10. Statements: W < F = H > T ≥ O, E = K ≤ O ≤ M, I = C > E
Conclusions: I. F > E
II. K < I
(a) Only I is true
(b) Only II is true
(c) Either I or II is true
(d) Neither I nor II is true
(e) Both I and II are true

Solution (1-4):
S1. Ans. (d)
Sol. I. C ≥ A – False
II. G > F –False

S2. Ans. (e)
Sol. I. P < T – True
II. S > V -True

S3. Ans. (b)
Sol. I. O ≥ L – False
II. A > J – True

S4. Ans. (c)
Sol. I. Q > F – False
II. Q = F– False

Solution (5-8):
S5. Ans. (a)
Sol. I. A > B – True
II. N ≥ U – False

S6. Ans. (d)
Sol. I. J > S – False
II. X > Z– False

S7. Ans. (a)
Sol. I. U > K – True
II. T > S – False

S8. Ans. (b)
Sol. I. F > O – False
II. O > Q – True

Solution (9-11):
S9. Ans. (a)
Sol. I. Q > Y – True
II. J = B – False

S10. Ans. (e)
Sol. I. F > E – True
II. K < I – True

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