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1.  

Directions (Q 13–20): In each question some statements are followed by two conclusions. Assume the statements are true. Decide which conclusion(s) definitely follow and choose:
A) Only I follows B) Only II follows C) Either I or II follows D) Neither I nor II follows E) Both I and II follow

Statements: J > K ≥ L, L = M < N
Conclusions: I. J > M II. N > K

Correct Answer: A [Only I follows]

Explanation:

I: J > K ≥ L = M – true; II: N > M = L ≤ K – opposite signs, no definite relation

2.  
(Use the directions above – Inequality, Q 13–20)
Statements: R ≤ S < T, T ≥ U > V
Conclusions: I. S < U II. V < T

Correct Answer: B [Only II follows]

Explanation:

I: S < T ≥ U – opposite signs, no definite relation; II: V < U ≤ T – true

3.  
(Use the directions above – Inequality, Q 13–20)
Statements: A ≥ B = C, C ≤ D
Conclusions: I. A > C II. A = C

Correct Answer: C [Either I or II follows]

Explanation:

I: A ≥ B = C gives A ≥ C only – A > C not certain; II: A ≥ B = C gives A ≥ C only – A = C not certain; I and II are complementary and one must be true → Either

4.  
(Use the directions above – Inequality, Q 13–20)
Statements: E ≤ F < G, H > G, H ≤ I
Conclusions: I. I > E II. F < I

Correct Answer: E [Both I and II follow]

Explanation:

I: I ≥ H > G > F ≥ E – true; II: F < G < H ≤ I – true

5.  
(Use the directions above – Inequality, Q 13–20)
Statements: K ≤ L < M, N = M, O > N
Conclusions: I. L ≥ O II. K > N

Correct Answer: D [Neither I nor II follows]

Explanation:

I: L < M = N < O gives L < O, so L ≥ O is false; II: K ≤ L < M = N gives K < N, so K > N is false

6.  
(Use the directions above – Inequality, Q 13–20)
Statements: T ≥ U, U ≥ V, V = W, X ≤ W
Conclusions: I. T > X II. T = X

Correct Answer: C [Either I or II follows]

Explanation:

I: T ≥ U ≥ V = W ≥ X gives T ≥ X only – T > X not certain; II: T ≥ U ≥ V = W ≥ X gives T ≥ X only – T = X not certain; I and II are complementary and one must be true → Either

7.  
(Use the directions above – Inequality, Q 13–20)
Statements: P ≥ Q, R > Q, S ≤ R
Conclusions: I. P > S II. R ≥ S

Correct Answer: B [Only II follows]

Explanation:

I: P ≥ Q < R ≥ S – opposite signs, no definite relation; II: R ≥ S – true

8.  
(Use the directions above – Inequality, Q 13–20)
Statements: B > C, C ≥ D, E > D, F ≤ E
Conclusions: I. B > D II. F < C

Correct Answer: A [Only I follows]

Explanation:

I: B > C ≥ D – true; II: F ≤ E > D ≤ C – opposite signs, no definite relation

9.  

Directions (Q 21–27): In these questions the symbols mean:
'P % Q' – P is neither smaller than nor equal to Q · 'P @ Q' – P is not greater than Q · 'P & Q' – P is neither greater than nor smaller than Q · 'P # Q' – P is not smaller than Q · 'P $ Q' – P is neither greater than nor equal to Q.
Decode the statements, then choose: A) Only I B) Only II C) Either I or II D) Neither I nor II E) Both I and II.

Statements: A % B, B # C, C & D
Conclusions: I. A % D II. D @ B

Correct Answer: E [Both I and II follow]

Explanation:

Decoded: A > B, B ≥ C, C = D.

10.  
(Use the directions above – Inequality, Q 21–27)
Statements: F $ G, G @ H, H % I
Conclusions: I. F $ H II. I $ G

Correct Answer: A [Only I follows]

Explanation:

Decoded: F < G, G ≤ H, H > I.

11.  
(Use the directions above – Inequality, Q 21–27)
Statements: J # K, K & L, L $ M
Conclusions: I. J % M II. M % K

Correct Answer: B [Only II follows]

Explanation:

Decoded: J ≥ K, K = L, L < M.

12.  
(Use the directions above – Inequality, Q 21–27)
Statements: N @ O, O $ P, Q # P
Conclusions: I. N $ P II. Q % O

Correct Answer: E [Both I and II follow]

Explanation:

Decoded: N ≤ O, O < P, Q ≥ P.

13.  
(Use the directions above – Inequality, Q 21–27)
Statements: R # S, T # S, U $ T
Conclusions: I. R % U II. U $ S

Correct Answer: D [Neither I nor II follows]

Explanation:

Decoded: R ≥ S, T ≥ S, U < T.

14.  
(Use the directions above – Inequality, Q 21–27)
Statements: V & W, W # X, X # Y
Conclusions: I. V % Y II. V & Y

Correct Answer: C [Either I or II follows]

Explanation:

Decoded: V = W, W ≥ X, X ≥ Y.

15.  
(Use the directions above – Inequality, Q 21–27)
Statements: C $ D, E % D, E @ F
Conclusions: I. F % C II. D # F

Correct Answer: A [Only I follows]

Explanation:

Decoded: C < D, E > D, E ≤ F.

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