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Coded Inequalities Quiz – Overview
Quiz Name | Coded Inequalities |
Category | Reasoning |
Quiz Mode | Online |
Exam Type | MCQ (Multiple Choice Questions) |
Coded Inequalities Online Quiz Test for Practice
1. In the question below relationship between different elements is shown in the statements. The statements are followed by two conclusions.
Statement: L ≥ M ≤ R = S; M > N ≥ P
Conclusions:
I. P ≤ M
II. L > N
A.If only conclusion I is true
B.if only conclusion II is true
C.if either conclusion I or conclusion II is true
D.if neither conclusion I nor conclusion II is true
E.if both conclusion I and conclusion II are true
Solution – B
Combining the two equations, L ≥ M > N ≥ P M > P thus, I is false L ≥ M > N ≥ P L > N. Thus, II is true
2. In the question below relationship between different elements is shown in the statements. The statements are followed by two conclusions.
Statement: A≤B ≤C>D ; EE
Conclusions:
I. D>A
II. ED>E No relationship can be established between A and D whereas clearly, E < C Thus, only II is true.
3. In the question below relationship between different elements is shown in the statements. The statements are followed by two conclusions.
Statement:X=Y ≥ Z > Q; Y < V ; W < Q
Conclusions: I. V > W
II. Q > V
a. if only conclusion I is true
b. if only conclusion II is true
c. if either conclusion I or conclusion II is true
d. if neither conclusion I nor conclusion II is true
e. if both conclusion I and conclusion II are true
Solution A
Combining the given equations; V>X=Y ≥Z>Q>W Clearly, I is true but II is false.
4. In each of the following questions assuming the given statements to be true, which of the three conclusions I, II & III given below them is/are definitely follow ? Give answer
Statements: G < H ≤ I, V ≥ W = G, R ≥ I = A
Conclusions : I. R > G
II. A ≥ H
III. H ≤ R
a. All follow
b. Only I follows
c. Only II follows
d. Only I and III follow
e. None of these
Solution A
Combined Inequality: V ≥ W = G < H ≤ I = A ≤ R V ≥ W = G < H ≤ I = A ≤ R∴ R > G. Hence, conclusion I follows. V ≥ W = G < H ≤ I = A ≤ R∴ A ≥ H Hence, conclusion II follows. V ≥ W = G < H ≤ I = A ≤ R∴ R≥ H Hence, conclusion III follows.
5. In these questions relations between different elements is shown in the statements. These statements are followed by two conclusions.
Given answer Statement: L > J ≥ U ≥ F; P < S < L
Conclusion: I. S < F II. P < U
a. Only Conclusion I follows
b. Only Conclusion II follows
c. Either Conclusion I or II follows
d. Neither Conclusion I nor II follows
e. Both Conclusion I and II follow
Solution D
Combined Inequality: P < S < L > J ≥ U ≥ F Conclusions: I. S < F, No relation can be established between S and F. Hence, Conclusion I is not true. II. P < U, No relation can be established between P and U. Hence, Conclusion II is not true.
6. In these questions relations between different elements is shown in the statements. These statements are followed by two conclusions. Given answer
Statement: D < M < P = V = E ≥ T > Z
Conclusion: I. P > Z II. D > E
a. Only Conclusion I follows
b. Only Conclusion II follows
c. Either Conclusion I or II follows
d. Neither Conclusion I nor II follows
e. Both Conclusion I and II follow
Solution A
Combined Inequality: D < M < P = V = E ≥ T > Z Conclusion: I. P > Z ∴ P > Z. Hence, Conclusion I is true. II. D > E ∴ D < E .Hence, Conclusion II is not true
7. In these questions relations between different elements is shown in the statements. These statements are followed by two conclusions. Given answer
Statement: K = B; D ≥ L ≥ T ≥ B
Conclusion: I. D > K II. D = K
a. Only Conclusion I follows
b. Only Conclusion II follows
c. Either Conclusion I or II follows
d. Neither Conclusion I nor II follows
e. Both Conclusion I and II follow
Solution C
Combined Inequality: D ≥ L ≥ T ≥ B = K Conclusion: I. D > K II. D = K Hence, D is either greater or equal to K.
8. In the question below relationship between different elements is shown in the statements. The statements are followed by two conclusions.
Statement: L ≥ M ≤ R = S; M > N ≥ P
Conclusions:
I. P ≤ M
II. L > N
a. if only conclusion I is true
b. if only conclusion II is true
c. if either conclusion I or conclusion II is true
d. if neither conclusion I nor conclusion II is true
e. if both conclusion I and conclusion II are true
Solution B
Combining the two equations, L ≥ M > N ≥ P M > P thus, I is false L ≥ M > N ≥ P L > N. Thus, II is true
9. In the question below relationship between different elements is shown in the statements. The statements are followed by two conclusions.
Statement: A≤B ≤C>D ; EE
Conclusions:
I. D>A
II. ED>E No relationship can be established between A and D whereas clearly, E < C Thus, only II is true
10. In the question below relationship between different elements is shown in the statements. The statements are followed by two conclusions.
Statement:X=Y ≥ Z > Q; Y < V ; W < Q
Conclusions: I. V > W
II. Q > V
a. if only conclusion I is true
b. if only conclusion II is true
c. if either conclusion I or conclusion II is true
d. if neither conclusion I nor conclusion II is true
e. if both conclusion I and conclusion II are true
Solution A
Combining the given equations; V>X=Y ≥Z>Q>W Clearly, I is true but II is false.
11. In each of the following questions relationship between different elements is shown in the statements. The statements are followed by two conclusions numbered I and II. Study the conclusions based on the given statements and select the appropriate answer.
Statements: B ≥ C > D ≤ E ≤ F ≤ G
Conclusions: I. D = G II. D < G
a. if only conclusion I is true
b. if only conclusion II is true
c. if both conclusion I and II are true
d. if either conclusion I or conclusion II is true
e. if neither conclusion I nor conclusion II is true
Solution D
Combined Inequalities: B ≥ C > D ≤ E ≤ F ≤ G B ≥ C > D ≤ E ≤ F ≤ G So D ≤ G. Hence, either conclusion I or conclusion II is true.
12. In each of the following questions relationship between different elements is shown in the statements. The statements are followed by two conclusions numbered I and II. Study the conclusions based on the given statements and select the appropriate answer.
Statements: R ≤ K ≤ H = O ≥ D > Q; K > P
Conclusions:I. K < Q II. D ≥ P
a. if only conclusion I is true
b. if only conclusion II is true
c. if both conclusion I and II are true
d. if either conclusion I or conclusion II is true
e. if neither conclusion I nor conclusion II is true
Solution E
Combined Inequalities: R ≤ K ≤ H = O ≥ D > Q and P < K ≤ H = O ≥ D > Q R ≤ K ≤ H = O ≥ D > Q, No relationship can be established between K and Q. Hence, conclusion I is not true. P < K ≤ H = O ≥ D > Q, No relationship can be established between D and P. Hence, conclusion II is not true.
13. In these questions relations between different elements is shown in the statements. These statements are followed by two conclusions. Given answer
Statement: L > J ≥ U ≥ F; P < S < L
Conclusion: I. S < F II. P < U
a. Only Conclusion I follows
b. Only Conclusion II follows
c. Either Conclusion I or II follows
d. Neither Conclusion I nor II follows
e. Both Conclusion I and II follow
Solution D
Combined Inequality: P < S < L > J ≥ U ≥ F Conclusions: I. S < F, No relation can be established between S and F. Hence, Conclusion I is not true. II. P < U, No relation can be established between P and U. Hence, Conclusion II is not true.
14. In these questions relations between different elements is shown in the statements. These statements are followed by two conclusions. Given answer
Statement: K = B; D ≥ L ≥ T ≥ B Conclusion: I. D > K II. D = K
a. Only Conclusion I follows
b. Only Conclusion II follows
c.Either Conclusion I or II follows
d. Neither Conclusion I nor II follows
e. Both Conclusion I and II follow
Solution C
Combined Inequality: D ≥ L ≥ T ≥ B = K Conclusion: I. D > K II. D = K Hence, D is either greater or equal to K.
15. In the question below relationship between different elements is shown in the statements. The statements are followed by two conclusions.
Statement: O ≤ Q, Q ≥ A, A > I, I = D
Conclusion: I. Q > D II. A > D
a. if only conclusion 1 is true
b. if only conclusion 2 is true
c. if either conclusion 1 or conclusion 2 is true
d. if neither conclusion 1 nor conclusion 2 is true
e. if both conclusion 1 and conclusion 2 are true
Solution E
Combined Inequality:O ≤ Q ≥ A > I = D O ≤ Q ≥ A > I = D∴ Q > D. Hence, conclusion I is true. O ≤ Q ≥ A > I = D∴ A > D. Hence, conclusion II is true.
16. In the question below relationship between different elements is shown in the statements. The statements are followed by two conclusions.
Statement:G≥ K, K ≤ S, S = M, M < N Conclusion: I. N > K II. G < S
a. if only conclusion 1 is true
b. if only conclusion 2 is true
c. if either conclusion 1 or conclusion 2 is true
d. if neither conclusion 1 nor conclusion 2 is true
e. if both conclusion 1 and conclusion 2 are true
Solution A
Combined Inequalities: G ≥ K ≤ S = M < N G≥ K ≤ S = M < N, K< N. Hence, conclusion I is true. G≥ K ≤ S = M < N, No relationship cannot be established between G and S. Hence, conclusion II is not true.
17. In the following question two statements are given followed by 3 conclusions 1,2 and 3. You have to study the statements and then decide which of the following conclusion is not true.
Statement-1 – P > Q ≥ R < S > T
2 – L ˃ R ≥ M ≥ N
Conclusions:
P > N
Q ≥ M
L < N
a. Only I is not true
b. Only II is not true
C. Only III is not true
d. None is true
e. None of these
Solution C
18. After combining- P > Q ≥ R ≥ M ≥ N Conclusions: 1 P>N Is true 2 Q≥M Is true 3 L 5*
2) 9# ˃ 6*
3) 7* ≤ 6#
a. II and III are not true
b. I and II are not true
c. Either I or III is not true
d. None is true
e. None of these
Solution E
After combining- 5* < 10# ≤ 5# 9# ≥ 10# ˃ 5* ≥ 6* 6# ≥ 9# ≥ 10# ≥ 7* Conclusions: 1)5#>5* is true 2)9# ˃ 6* is true 3)7* ≤ 6# is true All the three conclusion are true
19. In the question below relationship between different elements is shown in the statements. The statements are followed by two conclusions.
Statement: X≤W=Y<P; W≥Z; Z ≥X I. P>X
II. Y≥X
a. if only conclusion 1 is true
b. if only conclusion 2 is true
c. if either conclusion 1 or conclusion 2 is true
d. if neither conclusion 1 nor conclusion 2 is true
e. if both conclusion 1 and conclusion 2 are true
Solution E
Combining the inequalities, X≤Z≤W=Y
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