INEQUALITIES SET 03
1. Statements : U ≥ X = Y, Y ≤ Z ≤ S, T = W > Z
Conclusions:
I. T ≤ U
II. S > U
a : if only conclusion I follows. b : if only conclusion II follows. c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
Conclusions:
I. T ≤ U
II. S > U
a : if only conclusion I follows. b : if only conclusion II follows. c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
2. Statements : A ≥ P = S > T, V < B = T ≥ X
Conclusions:
I. A > X
II. P < B
a: if only conclusion I follows. b : if only conclusion II follows. c: if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
Conclusions:
I. A > X
II. P < B
a: if only conclusion I follows. b : if only conclusion II follows. c: if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
3. Statements : S > U > V, Y < U < Z, Z < X > W
Conclusions:
I. S < Z II. X > Y
a : if only conclusion I follows. b: if only conclusion II follows. c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
Conclusions:
I. S < Z II. X > Y
a : if only conclusion I follows. b: if only conclusion II follows. c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
4. Statements : P < X ≤ Y < Q, S > Y < T, P = V > R
Conclusions:
I. V < S II. T > R
a : if only conclusion I follows. b : if only conclusion II follows. c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
Conclusions:
I. V < S II. T > R
a : if only conclusion I follows. b : if only conclusion II follows. c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
5. Statements : B ≥ C = D ≥ E ; A ≤ F ≤ P = D
Conclusions :
I. D ≥ A
II. B ≥ F
a : if only conclusion I follows. b : if only conclusion II follows.
c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
Conclusions :
I. D ≥ A
II. B ≥ F
a : if only conclusion I follows. b : if only conclusion II follows.
c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
6. Statements : P = S < T ≤ U ; Q ≤ U = A ≥ B
Conclusions :
I. Q = B
II. S ≤ A
a : if only conclusion I follows. b : if only conclusion II follows.
c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
Conclusions :
I. Q = B
II. S ≤ A
a : if only conclusion I follows. b : if only conclusion II follows.
c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
7. Statements : A ≥ C > B > D; P < F ≥ C > E
Conclusions :
I. A ≥ E
II. F > D
a: if only conclusion I follows. b : if only conclusion II follows.
c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
Conclusions :
I. A ≥ E
II. F > D
a: if only conclusion I follows. b : if only conclusion II follows.
c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
8. Statements : M = N ≤ O ≤ R; P < O ≤ S < T
Conclusions :
I. N = S
II. N < S
a : if only conclusion I follows. b : if only conclusion II follows.
c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
Conclusions :
I. N = S
II. N < S
a : if only conclusion I follows. b : if only conclusion II follows.
c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow.
9. Statements : J ≤ K = M, N ≥ P > K, Q > N = R
Conclusions :
I. R > J
II. Q ≥ M
a : if only conclusion I follows. b : if only conclusion II follows.
c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow
Conclusions :
I. R > J
II. Q ≥ M
a : if only conclusion I follows. b : if only conclusion II follows.
c : if either conclusion I or conclusion II follows. d : if neither conclusion I nor conclusion II follows. e : if both conclusions I and II follow
Answer Keys:
1. D
2. A
3. B
4. E
5. E
6. D
7. B
8. C
9. A
1. D
2. A
3. B
4. E
5. E
6. D
7. B
8. C
9. A
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