Important Inequality Questions For Delhi Police Constable
1. In the following question assuming the given statements to be true, find which of the given conclusions is/are definitely true and then give your answer accordingly.
Statement: Z = Y ≥ T > D < C = A ≤ H = G ≤ J
Conclusions:
I. Y < C
II. Z ≥ C
III. A ≤ J
IV. J = Y
1. either I or II follow.
2. conclusion III follows.
3. none follow.
4. either III or II follow and conclusion Iv follows.
5. either I or II follow and conclusion III follow
2. In the following question assuming the given statements to be true, find which of the given conclusions is/are definitely true and then give your answer accordingly.
Statements: O ≤ P < Q, A > B ≤ C, X = O > C
Conclusions:
I. A > X
II.C ≤ A
III.Q > B
IV. A ≤ O
V. A < C
1. conclusion III follow.
2. either conclusion I or IV and conclusion III follow.
3. either Conclusion II or V and conclusion III follow.
4. either conclusion I or IV and either conclusion II or V and conclusion III follow.
5. either conclusion I or Iv and conclusion II or V follow.
3. In the following question assuming the given statements to be true, find which of the given conclusions is/are definitely true and then give your answer accordingly.
Statements: L = M, N < O, M ≥ N, P = O
Conclusions:
I. L > N
II. P > N
III. L = N
1. Only I follows
2. Both I and II follows
3. Only II and either I and III follows
4. Both I and III follows
5. None of the above
4. In the following question assuming the given statements to be true, find which of the given conclusions is /are definitely true and then give your answers accordingly.
Statements: M > A ≥ B = Q ≤ P < J ≤ Y; Z ≥ A > X
Conclusions:
I. B < Y
II. X ≥ J
III. Z = Q
IV. Z > Q
1. None is true.
2. Only II and III are true.
3. Only I is true.
4. Only I and either conclusion III or IV are true.
5. Either III or IV is true.
5. In the following question assuming the given statements to be true, find which of the given conclusions is /are definitely true and then give your answers accordingly.
Statement: C < D < E; D > F = G
Conclusions:
I. C = G
II. F > E
III. G < D
1. Only I and II are true
2. Only I and III are true
3. Only III is true
4. All of them are true
5. None of them are true
6. In the following question assuming the given statements to be true, find which of the given conclusions is /are definitely true and then give your answers accordingly.
Statements: F ≥ B = C; C > D ≤ E; F < A ≤ E
Conclusions:
I. D < A
II. E > F
III. C > A
IV. E ≥ A
1. Only I and II are true
2. Only II, III and IV are true
3. Only I, II and IV are true
4. Only III and IV are true
5. All are true
7. In the following question assuming the given statements to be true, find which of the given conclusions is /are definitely true and then give your answers accordingly.
Statements: X = Y > Z ≤ A; A = Q; Q > R ≥ S < W
Conclusions:
I. W > R
II. A ≥ Y
III. Q ≥ Z
IV. Q ≥ X
1. None is true
2. Only I and II are true
3. Only II is true
4. Only III is true
5. Only II and IV are true
8. In the following question assuming the given statements to be true, find which of the given conclusions is /are definitely true and then give your answers accordingly.
Statements: A ≤ B = D ≤ E; F < L = K; E ≥ F
Conclusion:
I. F ≥ B
II. E ≥ A
1. Only I is true.
2. Only II is true.
3. Both I and II are true.
4. Either I or II is true.
5. Neither I nor II is true.
9. In the following question assuming the given statements to be true, find which of the given conclusions is /are definitely true and then give your answers accordingly.
Statements: P ≥ U; Q ≥ S; S ≤ P; R ≥ U
Conclusions:
I. P ≥ R
II. Q ≤ U
III. S ≥ R
1. None is true
2. Only I is true
3. Only I and II is true
4. Only II and III is true
5. Only III is true
10. In the following question assuming the given statements to be true, find which of the given conclusions is /are definitely true and then give your answers accordingly.
Statements: W < X; X ≥ Y; Y = Z; Z ≥ A
Conclusions:
I. X ≥ A
II. A < Z
III.A > X
1. Only I is true
2. Only I and II is true
3. Only II and III is true
4. Only III is true
5. All are true
11. Relationship between different elements is shown in the statements. Find if the conclusions also follow or not.
Statements: A > L ≥ H > M = D < G ≤ F; U ≤ K = P > M; N= K < S
Conclusions:
I. A > S
II. A = S
1. only I follows
2. only II follows
3. either I or II follows
4. neither I nor II follow
5. both I and II follow
12. Relationship between different elements is shown in the statements. Find if the conclusions also follow or not.
Statements: B < G ≤ V = F > H; K = L > F ≤ N = P; D > N = S
Conclusions:
I. H < S
II. B < P
1. only I follows
2. only II follows
3. either I or II follows
4. neither I nor II follow
5. both I and II follow
13. Relationship between different elements is shown in the statements. Find if the conclusions also follow or not.
Statements: V < L = D < K ≥ H > S; P ≤ K = D > E; K = F ≤ Z
Conclusions:
I. Z > L
II. E < V
1. only I follows
2. only II follows
3. either I or II follows
4. neither I nor II follow
5. both I and II follow
14. Relationship between different elements is shown in the statements. Find if the conclusions also follow or not.
Statements: K = L < D ≤ G = P; U > E = D ≥ X ≤ B; P > O ≥ V < S
Conclusions:
I. V < X
II. P ≥ X
1. only I follows
2. only II follows
3. either I or II follows
4. neither I nor II follow
5. both I and II follow
15. Relationship between different elements is shown in the statements. Find if the conclusions also follow or not.
Statements: K = L < D ≤ G = P; U > E = D ≥ X ≤ B; P > O ≥ V < S
Conclusions:
I. U > K
II. P > B
1. only I follows
2. only II follows
3. either I or II follows
4. neither I nor II follow
5. both I and II follow
16. Relationship between different elements is shown in the statements. Find if the conclusions also follow or not.
Statements: B < G ≤ V = F > H; K = L > F ≤ N = P; D > N = S
Conclusions:
I. L > G
II. D > K
1.only I follows
2. only II follows
3. either I or II follows
4. neither I nor II follow
5. both I and II follow
17. Study the following information to answer the given questions
A$B means A is not smaller than B
A@B means A is neither smaller than nor equal to B
A#B means A is neither greater than nor equal to B
A&B means A is neither greater than nor smaller than B
A*B means A is not greater than B
Statements: O & A, A $ R, R # S, S * Q
Conclusions:
I. Q @ R
II. S @ O
III. R & O
IV. R # O
1. Only I is true
2. Only III is true
3. Only IV is true
4. Either III or IV is true
5. Either III or IV and I are true
18. Study the following information to answer the given questions
A$B means A is not smaller than B
A@B means A is neither smaller than nor equal to B
A#B means A is neither greater than nor equal to B
A&B means A is neither greater than nor smaller than B
A*B means A is not greater than B
Statements: A * E, E $ F, F # O, O @ L
Conclusions:
I. L # F
II. E @ O
III. A # O
IV. E @ L
1. None is true
2. Only I is true
3. Only II is true
4. Only III is true
5. Only IV is true
19. Study the following information to answer the given questions
A$B means A is not smaller than B
A@B means A is neither smaller than nor equal to B
A#B means A is neither greater than nor equal to B
A&B means A is neither greater than nor smaller than B
A*B means A is not greater than B
Statements: B @ Q, Q # A, A & L, L * N
Conclusions:
I. N $ A
II. L @ Q
III. B @ N
IV. Q # N
1. I, II and III are true
2. I, II and IV are true
3. I, III and IV are true
4. I, III and IV are true
5. All are true
20. Study the following information to answer the given questions
A$B means A is not smaller than B
A@B means A is neither smaller than nor equal to B
A#B means A is neither greater than nor equal to B
A&B means A is neither greater than nor smaller than B
A*B means A is not greater than B
Statements: E # M, M * N, N @ O, O $ P
Conclusions:
I. P # M
II. P # N
III. M # O
IV. N @ E
1. II and III are true
2. II and IV are true
3. III and IV are true
4. I, and IV are true
5. All are true
21. In these questions, relationships between different elements is shown in the
statements. These statements are followed by two conclusions.
Statement: B≥E<N<Q<R=S
Conclusions:
I. S>E
II.Q<B
1. If only Conclusion I follows
2. If only Conclusion II follows
3. If either Conclusion I or II follows
4. If neither Conclusion I nor II follows
5. If both Conclusions I or II follow
22. In these questions, relationships between different elements is shown in the
statements. These statements are followed by two conclusions.
Statement: P≥Q>R<E=G>N
Conclusions:
I. P>G
II. R>N
1. If only Conclusion I follows
2. If only Conclusion II follows
3. If either Conclusion I or II follows
4. If neither Conclusion I nor II follows
5. If both Conclusions I or II follow
23. In these questions, relationships between different elements is shown in the
statements. These statements are followed by two conclusions.
Statement: A>S>P>O=E
Conclusions:
I. P≥E
II. S>E
1. If only Conclusion I follows
2. If only Conclusion II follows
3. If either Conclusion I or II follows
4. If neither Conclusion I nor II follows
5. If both Conclusions I or II follow
24. Which of the following symbols should be placed in the blank spaces respectively(in the same order from left to right) in order to complete the given expression in such a manner that both ‘N≥Q’ as well as ‘Q≤M’ definitely holds true? M _ N _ P _ Q _ R
1. >, ≥, <, =
2. >, >, ≥, <
3. ≥, ≥, ≤,≤
4. ≥, =, ≥,<
5. Other than those given as options
25. In Which of the following expressions does the expression ‘I≥D’ to definitely hold true?
1. K ≥ I ≤ R = P < S ≤ D
2. U ≥ D ≥ M = F ≤ A ≥ I
3. I ≥ C ≥ Q ≥ B = N ≥ D
4. G ≥ I = A < B ≤ S ≤ D
5. D ≥ E = G ≥ W = Y ≥ I
