# Inequalities

Directions (Qs. 1 - 5): Study the following information carefully and answer the questions given below:

‘R @ S’ means ‘R is neither greater than nor smaller than S.’

‘R % S’ means ‘R is not greater than S.’

‘R # S’ means ‘R is neither smaller than nor equal to S.’

‘R   S’ means ‘R is not smaller than S.’

‘R δ S’ means ‘R is neither greater than nor equal to S.’

1. Statements: P # Q, K @ R, R δ S

Conclusions: I. P # S II. P δ S

A) if only conclusion I is true          B) if only conclusion II is true       C) if either conclusion I or II is true      D) if neither conclusion I nor II is true      E) if both conclusions I and II are true

Explanation: As per the information given,

1. P # Q means P > Q

2. Q @ R means Q = R

3. R δ S means R < S

So, the final equation will be,   P > Q = R < S

Now, the Conclusion I: P # S means P > S Conclusion II: P δ S means S > P

Ans: D

2. Statements: L δ M, N % O, M  N

Conclusions: I. L δ N     II. M % O

A) if only conclusion I is true      B) if only conclusion II is true     C) if either conclusion I or II is true       D) if neither conclusion I nor II is true      E) if both conclusions I and II are true

Explanation: As per the information given,

1. L δ M means L < M

2. N % O means N ≤ O

3. M  N means M ≥ N

So, the final equation will be, L < M ≥ N ≤ O

Now, the Conclusion I: L δ N means L < N Conclusion II: M % O means M ≤ O

Ans: D

3. Statements: A # B, B @ C, C  D

Conclusions: I. C δ A II. A # D

A) if only conclusion I is true         B) if only conclusion II is true     C) if either conclusion I or II is true     D) if neither conclusion I nor II is true     E) if both conclusions I and II are true

Explanation: As per the information given,

1. A # B means A > B

2. B @ C means B = C

3. C  D means C ≥ D

So, the final equation will be, A > B = C ≥ D

Now, the Conclusion I: C δ A means C < A Conclusion II: A # D means A > D

Ans: E

4. Statements: J @ K, K  A, M δ L

Conclusions: I. J  L   II. K # M

A) if only conclusion I is true     B) if only conclusion II is true     C) if either conclusion I or II is true     D) if neither conclusion I nor II is true     E) if both conclusions I and II are true

Explanation: As per the information given,

1. J @ K means J = K

2. K  L means K ≥ L

3. M δ L means M < L

So, the final equation will be, J = K ≥ L > M

Now, the Conclusion I: J   L means J ≥ L Conclusion II: K # M means K > M

Ans: E

5. Statements: U δ V, V @ W , W # X

Conclusions: I. U @ W II. X # U

A) if only conclusion I is true       B) if only conclusion II is true       C) if either conclusion I or II is true      D) if neither conclusion I nor II is true       E) if both conclusions I and II are true

Explanation: As per the information given,

1. U δ V means U < V

2. V @ W means V = W

3. W # X means W > X

So, the final equation will be, U < V = W > X

Now, the Conclusion I: U @ W means U = W Conclusion II: X # U means X > U

Ans: D

Directions (Qs. 6 - 10): Study the following information carefully and answer the questions given below:

‘X % Y’ means ‘X is not smaller than Y.’

‘X ∗ Y’ means ‘X is neither greater than nor equal to Y.’

‘X δ Y’ means ‘X is neither smaller than nor equal to Y.’

‘X \$ Y’ means ‘X is neither greater than nor smaller than Y. ‘

‘X  Y’ means ‘X is not greater than Y.’

6. Statements: G \$ H, H % I , I ∗ J

Conclusions: I. J δ G II. I  G

A) if only conclusion I is true        B) if only conclusion II is true      C) if either conclusion I or II is true      D) if neither conclusion I nor II is true       E) if both conclusions I and II are true

Explanation: As per the information given,

1. G \$ H means G = H

2. H % I means H ≥ I

3. I ∗ J means I < J

So, the final equation will be,  G = H ≥ I < J

Now, the Conclusion I: J δ G means J > G Conclusion II: I  G means I ≤ G

Ans: B

7. Statements: 6 ∗ L, L \$ M, M % N

Conclusions: I. N \$ L II. N ∗ L

A) if only conclusion I is true        B) if only conclusion II is true        C) if either conclusion I or II is true      D) if neither conclusion I nor II is true      E) if both conclusions I and II are true

Explanation: As per the information given,

1. 6 ∗ L means 6 < L

2. L \$ M means L = M

3. M % N means M ≥ N

So, the final equation will be,6 < L = M ≥ N

Now, the Conclusion I: N \$ L means N = L Conclusion II: N ∗ L means N < L

Ans: C

8. Statements: C % D, D ∗ E , E \$ F

Conclusions: I. F δ D II. C δ E

A) if only conclusion I is true        B) if only conclusion II is true      C) if either conclusion I or II is true       D) if neither conclusion I nor II is true      E) if both conclusions I and II are true

Explanation: As per the information given,

1. C % D means C ≥ D

2. D ∗ E means D < E

3. E \$ F means E = F

So, the final equation will be,  C ≥ D < E = F

Now, the Conclusion I: F δ D means F > D Conclusion II: C δ E means C > E

Ans: A

9. Statements: Z δ V, V  K, K δ M

Conclusions: I. M ∗ V II. Z δ K

A) if only conclusion I is true     B) if only conclusion II is true      C) if either conclusion I or II is true      D) if neither conclusion I nor II is true      E) if both conclusions I and II are true

Explanation: As per the information given,

1. Z δ V means Z > V

2. V   K means V ≤ K

3. K δ M means K > M

So, the final equation will be,Z > V ≤ K > M

Now, the Conclusion I: M ∗ V means M < V Conclusion II: Z δ K means Z > K

Ans: D

10. Statements: W   X, N δ X, N   F

Conclusions: I. F δ X II. W ∗ N

A) if only conclusion I is true      B) if only conclusion II is true     C) if either conclusion I or II is true     D) if neither conclusion I nor II is true      E) if both conclusions I and II are true

Explanation: As per the information given,

1. W   X means W ≤ X

2. N δ X means N > X

3. N   F means N ≤ F

So, the final equation will be, W ≤ X < N ≤ F

Now, the Conclusion I: F δ X means F > X Conclusion II: W ∗ N means W < N

Ans: E

Directions (Qs. 11 - 14): Study the following information carefully and answer the questions given below.

‘L  M’ means ‘L is either smaller than or equal to M.’

‘L % M’ means ‘L is neither smaller than nor equal to M.’

L @ M’ means ‘L is either greater than or equal to M.’

‘L \$ M’ means ‘L is neither greater than nor equal to M.’

L # M’ means ‘L is neither greater than nor smaller than M.’

11. Statements: U   V, V # W, W @ X

Conclusions: I. X   V II. W # U

A) if only conclusion I is true       B) if only conclusion II is true      C) if either conclusion I or II is true      D) if neither conclusion I nor II is true       E) if both conclusions I and II are true

Explanation: As per the information given,

1. U   V means U ≤ V

2. V # W means V = W

3. W @ X means W ≥ X

So, the final equation will be, U ≤ V = W ≥ X

Now, the Conclusion I: X  V means X ≤ V Conclusion II: W # U means W = U

Ans: A

12. Statements: M @ S, S % U, U # N

Conclusions: I. N \$ S II. U \$ M

A) if only conclusion I is true      B) if only conclusion II is true      C) if either conclusion I or II is true     D) if neither conclusion I nor II is true     E) if both conclusions I and II are true

Explanation: As per the information given,

1. M @ S means M ≥ S

2. S % U means S > U

3. U # N means U = N

So, the final equation will be, M ≥ S > U = N

Now, the Conclusion I: N \$ S means N < S Conclusion II: U \$ M means U < M

Ans: E

13. Statements: B % E, E @ F, F   L

Conclusions: I. L % E II. B @ F

A) if only conclusion I is true         B) if only conclusion II is true          C) if either conclusion I or II is true         D) if neither conclusion I nor II is true          E) if both conclusions I and II are true

Explanation: As per the information given,

1. B % E means B > E

2. E @ F means E ≥ F

3. F   L means F ≤ L

So, the final equation will be, B > E ≥ F ≤ L

Now, the Conclusion I: L % E means L > E Conclusion II: B @ F means B ≥ F

Ans: D

14. Statements: C \$ D, D   E, E @ F

Conclusions: I. F \$ D II. E % C

A) if only conclusion I is true        B) if only conclusion II is true       C) if either conclusion I or II is true       D) if neither conclusion I nor II is true       E) if both conclusions I and II are true

Explanation: As per the information given,

1. C \$ D means C < D

2. D   E means D ≤ E

3. E @ F means E ≥ F

So, the final equation will be, C < D ≤ E ≥ F

Now, the Conclusion I: F \$ D means F < D Conclusion II: E % C means E > C

Ans: B

Posted Date : 03-01-2023

గమనిక : ప్రతిభ.ఈనాడు.నెట్‌లో కనిపించే వ్యాపార ప్రకటనలు వివిధ దేశాల్లోని వ్యాపారులు, సంస్థల నుంచి వస్తాయి. మరి కొన్ని ప్రకటనలు పాఠకుల అభిరుచి మేరకు కృత్రిమ మేధస్సు సాంకేతికత సాయంతో ప్రదర్శితమవుతుంటాయి. ఆ ప్రకటనల్లోని ఉత్పత్తులను లేదా సేవలను పాఠకులు స్వయంగా విచారించుకొని, జాగ్రత్తగా పరిశీలించి కొనుక్కోవాలి లేదా వినియోగించుకోవాలి. వాటి నాణ్యత లేదా లోపాలతో ఈనాడు యాజమాన్యానికి ఎలాంటి సంబంధం లేదు. ఈ విషయంలో ఉత్తర ప్రత్యుత్తరాలకు, ఈ-మెయిల్స్ కి, ఇంకా ఇతర రూపాల్లో సమాచార మార్పిడికి తావు లేదు. ఫిర్యాదులు స్వీకరించడం కుదరదు. పాఠకులు గమనించి, సహకరించాలని మనవి.