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All questions of Inequalities for Class 10 Exam
Read the given statement and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions is true based on the given statement.Statement:S = Q > R ≤ U = M > BConclusions:I. Q > UII. R < S- a)Only I is true
- b)Neither I nor II is true
- c)Both I and II are true
- d)Only II is true
Correct answer is option 'D'. Can you explain this answer?
Read the given statement and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions is true based on the given statement.
Statement:
S = Q > R ≤ U = M > B
Conclusions:
I. Q > U
II. R < S
a)
Only I is true
b)
Neither I nor II is true
c)
Both I and II are true
d)
Only II is true
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Orion Classes answered |
Given statement: S = Q > R ≤ U = M > B
According to the given information:
S is equal to Q, Q is greater than R, R is less than or equal to U, U is equal to M, and M is greater than B.
Conclusions:
I. Q > U → False( Q > R ≤ U; A definite relation cannot be established between Q and U)
II. R < S → True ( S = Q > R; S > R → R < S)
Hence, the correct answer is "Only II is true".
In the following question, a statement is being followed by two conclusions. Find which of the two conclusion is/are true according to the given statement.Statement:J = K ≥ L > X ≥ Y ; J ≥ P ; P ≥ Z Conclusions:I: J < LII: P ≤ Y- a)Only I is true.
- b)Both I and II are true.
- c)Neither I nor II is true.
- d)Only II is true.
Correct answer is option 'C'. Can you explain this answer?
In the following question, a statement is being followed by two conclusions. Find which of the two conclusion is/are true according to the given statement.
Statement:
J = K ≥ L > X ≥ Y ; J ≥ P ; P ≥ Z
Conclusions:
I: J < L
II: P ≤ Y
a)
Only I is true.
b)
Both I and II are true.
c)
Neither I nor II is true.
d)
Only II is true.
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Ayesha Joshi answered |
The given statement is: J = K ≥ L > X ≥ Y ; J ≥ P ; P ≥ Z
Combining the statement: Z < P < J = K ≥ L > X ≥ Y
Here, Z is smaller than or equal to P which is Smaller than or equal to J which is equal to K which is greater than or equal to L which is greater than X and X is greater than or equal to Y.
Conclusions:
I: J < L → False (as J = K ≥ L gives as J = K and K ≥ L which implies that J ≥ L and J cannot be less than L . Thus, Conclusion I is false.).
II: P ≤ Y → False (as Z < P < J = K ≥ L > X ≥ Y → clear relationship between P and Y cannot be determined. Thus, Conclusion II is false.)
Hence, the "Option c" is the correct answer.
A statement is given followed by two conclusions. Find which conclusion is true based on the given statement.Statement:C < A ≤ T = D ≥ O; G ≥ D < S; T ≥ AConclusions:I: A ≤ OII: C < G- a)Either I or II
- b)Only I
- c)Only II
- d)Neither I nor II
Correct answer is option 'C'. Can you explain this answer?
A statement is given followed by two conclusions. Find which conclusion is true based on the given statement.
Statement:
C < A ≤ T = D ≥ O; G ≥ D < S; T ≥ A
Conclusions:
I: A ≤ O
II: C < G
a)
Either I or II
b)
Only I
c)
Only II
d)
Neither I nor II
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Isabella Brooks answered |
Explanation:
Given Statement:
C < a="" ≤="" t="D" ≥="" o;="" g="" ≥="" d="">< s;="" t="" ≥="">
Conclusion I: A ≤ O
From the given statement, we know that A is less than or equal to T, which is equal to D, and D is greater than or equal to O. Therefore, conclusion I is true as A is indeed less than or equal to O.
Conclusion II: C <>
There is no direct relationship between C and G in the given statement. Even though C is less than A and G is greater than D, we cannot infer that C is less than G. Therefore, conclusion II is false.
Therefore, based on the given statement, only conclusion I is true. So, the correct answer is Option C: Only II.
Given Statement:
C < a="" ≤="" t="D" ≥="" o;="" g="" ≥="" d="">< s;="" t="" ≥="">
Conclusion I: A ≤ O
From the given statement, we know that A is less than or equal to T, which is equal to D, and D is greater than or equal to O. Therefore, conclusion I is true as A is indeed less than or equal to O.
Conclusion II: C <>
There is no direct relationship between C and G in the given statement. Even though C is less than A and G is greater than D, we cannot infer that C is less than G. Therefore, conclusion II is false.
Therefore, based on the given statement, only conclusion I is true. So, the correct answer is Option C: Only II.
In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answer accordingly.Statements:
L > F = S < T ≤ Q < PConclusions:I. F < QII. L > SIII. T < P
- a)Only conclusion III follows
- b)Both conclusions II and III follow
- c)Either conclusion I or III is follows
- d)All follow
Correct answer is option 'D'. Can you explain this answer?
In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answer accordingly.
Statements:
L > F = S < T ≤ Q < P
L > F = S < T ≤ Q < P
Conclusions:
I. F < Q
II. L > S
III. T < P
a)
Only conclusion III follows
b)
Both conclusions II and III follow
c)
Either conclusion I or III is follows
d)
All follow
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Ayesha Joshi answered |
Given statements: L > F = S < T ≤ Q < P
I. F < Q → True (as F = S < T ≤ Q)
II. L > S → True (as L > F = S)
III. T < P → True (as T ≤ Q < P)
Hence, all of the given conclusions follow.
If W > X, X > Y and Y > Z, then which of the following conclusions is definitely wrong?- a)X > Z
- b)W > Z
- c)Z > W
- d)W > Y
Correct answer is option 'C'. Can you explain this answer?
If W > X, X > Y and Y > Z, then which of the following conclusions is definitely wrong?
a)
X > Z
b)
W > Z
c)
Z > W
d)
W > Y
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|
Orion Classes answered |
Given: W > X, X > Y and Y > Z
On combining: W > X > Y > Z
I) X > Z → True
II) W > Z → True
III) Z > W → False (as W > Z)
IV) W > Y → True
Hence, Z > W is definitely wrong.
Given below is an inequality, which of the following condition is TRUE?If A > B > C > D = F ≥ G < H- a)G > C
- b)B > F
- c)G > F
- d)D < G
Correct answer is option 'B'. Can you explain this answer?
Given below is an inequality, which of the following condition is TRUE?
If A > B > C > D = F ≥ G < H
a)
G > C
b)
B > F
c)
G > F
d)
D < G
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Orion Classes answered |
From the given conditions, A > B > C > D = F ≥ G < H.
1. G > C → C > D = F ≥ G, C > G → False.
2. B > F → B > C > D = F, B > F → True.
3. G > F → D = F ≥ G < H, F ≥ G → False.
4. D < G → D = F ≥ G, D ≥ G → False.
So, B > F is the correct inequality.
In the following question, Few statements are given which are followed by some conclusions. According to the given statements, which conclusion is/are definitely true?
Statements:
S = R ≥ Q ≤ P ; N ≤ P ; M < N
Conclusions:
I. M < S
II. M ≥ S
- a)Either I or II follows.
- b)Only II follows.
- c)Both I and II follows.
- d)Only I follows.
Correct answer is option 'D'. Can you explain this answer?
In the following question, Few statements are given which are followed by some conclusions. According to the given statements, which conclusion is/are definitely true?
Statements:
S = R ≥ Q ≤ P ; N ≤ P ; M < N
Conclusions:
I. M < S
II. M ≥ S
a)
Either I or II follows.
b)
Only II follows.
c)
Both I and II follows.
d)
Only I follows.
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|
Orion Classes answered |
According to given information:
Statements: S = R ≥ Q ≤ P ; N ≤ P ; M < N
Combine the statement: S = R ≥ Q ≤ P ≥ N > M
Here, S is equal to R which is greater than or equal to Q which is less than or equal to P which is greater than or equal to N which is greater than M.
Conclusions:
I. M < S → False (As S = R ≥ Q ≤ P ; N ≤ P ; M < N → there is no direct relation between M and S. So, conclusion I is false)
II. M ≥ S → False (As S = R ≥ Q ≤ P ; N ≤ P ; M < N → there is no direct relation between M and S. So, conclusion II is false)
Here, both conclusions I and II form a complementary pair as both have the same element i.e. M and S and all the three symbols (<, =, >) are present between M and S.
Hence, Either I or II follows.
Hence, "Option d" is the correct answer.
In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.Statements:
Q > J ≥ M > L = K < SConclusions:I. Q > LII. J > KIII. L < S- a)Only conclusion III is true
- b)Both conclusions II and III are true
- c)Only conclusion II follows
- d)All follow
Correct answer is option 'D'. Can you explain this answer?
In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.
Statements:
Q > J ≥ M > L = K < S
Q > J ≥ M > L = K < S
Conclusions:
I. Q > L
II. J > K
III. L < S
a)
Only conclusion III is true
b)
Both conclusions II and III are true
c)
Only conclusion II follows
d)
All follow
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|
Orion Classes answered |
Given statements: Q > J ≥ M > L = K < S
I. Q > L → True (as Q > J ≥ M > L)
II. J > K → True (as J ≥ M > L = K)
III. L < S → True (as L = K < S)
Hence, the answer is ‘All follow’.
In the following question, assuming the given statements to be true, find which of the following among the given conclusions is/are definitely true and then give your answers accordingly.Statement:
S = U > K > L ≥ Y < R ≤ BConclusion:I. K < YII. L > YIII. L = Y- a)Only conclusion III follows
- b)Either conclusion II or III follows
- c)Only conclusion I follows
- d)None follows
Correct answer is option 'B'. Can you explain this answer?
In the following question, assuming the given statements to be true, find which of the following among the given conclusions is/are definitely true and then give your answers accordingly.
Statement:
S = U > K > L ≥ Y < R ≤ B
S = U > K > L ≥ Y < R ≤ B
Conclusion:
I. K < Y
II. L > Y
III. L = Y
a)
Only conclusion III follows
b)
Either conclusion II or III follows
c)
Only conclusion I follows
d)
None follows
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Orion Classes answered |
Statement: S = U > K > L ≥ Y < R ≤ B
Conclusion:
I. K < Y → False (As, S = U > K > L ≥ Y)
II. L > Y → False (As, S = U > K > L ≥ Y)
III. L = Y → False (As, S = U > K > L ≥ Y)
But conclusion II and III forms a complementary pair.
Hence, either conclusion II or III follows.
Assuming the given statements to be true in the following question , find which of the given conclusion is/are definitely true and then give your answers accordingly.Statements:
V < Z ≥ Y ≥ X = A < B < C < DConclusions:I. X < BII. Y > AIII. V < Y- a)Conclusions I and II are true
- b)Conclusion I and III are true
- c)Conclusion II and III are true
- d)All conclusions are true
Correct answer is option 'A'. Can you explain this answer?
Assuming the given statements to be true in the following question , find which of the given conclusion is/are definitely true and then give your answers accordingly.
Statements:
V < Z ≥ Y ≥ X = A < B < C < D
V < Z ≥ Y ≥ X = A < B < C < D
Conclusions:
I. X < B
II. Y > A
III. V < Y
a)
Conclusions I and II are true
b)
Conclusion I and III are true
c)
Conclusion II and III are true
d)
All conclusions are true
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Orion Classes answered |
Given statements: V < Z ≥ Y ≥ X = A < B < C < D
Conclusions:
I. X < B → True (As X = A < B which implies X < B . So, Conclusion I is true.)
II. Y > A → True (As Y ≥ X = A which implies Y > A . So, Conclusion II is true.)
III. V < Y → False (As V < Z ≥ Y there is no direct relation between V and Y. So, Conclusion II is false)
Thus, Conclusions I or II are true.
Hence, "Option a" is the correct answer.
Given below is an inequality, which of the following condition is TRUE?If P ≤ Q ≥ R; E ≥ Q; L < Q = D- a)L < P
- b)E ≥ R
- c)E < D
- d)Q < R
Correct answer is option 'B'. Can you explain this answer?
Given below is an inequality, which of the following condition is TRUE?
If P ≤ Q ≥ R; E ≥ Q; L < Q = D
a)
L < P
b)
E ≥ R
c)
E < D
d)
Q < R
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Orion Classes answered |
Given inequality is: P ≤ Q ≥ R; E ≥ Q; L < Q = D
1. L < P → P ≤ Q, L < Q, data is not sufficient to determine the relation → False
2. E ≥ R → E ≥ Q ≥ R, E ≥ R → True.
3. E < D → E ≥ Q, L < Q = D, E ≥ D → False.
4. Q < R → Q ≥ R → False.
Hence, E ≥ R, is the correct inequality.
Below is a statement followed by some conclusions. Find which of the given conclusions logically follow(s) from the given statement.Statement:
P > Q ≤ C ≤ B = M > DConclusions:I. M > QII. D ≤ QIII. M = QIV. C < D- a)Only either I or III is true.
- b)Only I is true.
- c)None is true.
- d)Only either II or IV is true.
Correct answer is option 'A'. Can you explain this answer?
Below is a statement followed by some conclusions. Find which of the given conclusions logically follow(s) from the given statement.
Statement:
P > Q ≤ C ≤ B = M > D
P > Q ≤ C ≤ B = M > D
Conclusions:
I. M > Q
II. D ≤ Q
III. M = Q
IV. C < D
a)
Only either I or III is true.
b)
Only I is true.
c)
None is true.
d)
Only either II or IV is true.
|
Nicholas Graves answered |
Understanding the Statement
The statement provided is:
P > Q ≤ C ≤ B = M > D
This can be broken down into relationships:
- P is greater than Q (P > Q)
- Q is less than or equal to C (Q ≤ C)
- C is less than or equal to B (C ≤ B)
- B is equal to M (B = M)
- M is greater than D (M > D)
Analyzing the Conclusions
Let's evaluate each conclusion based on the relationships established in the statement.
Conclusion I: M > Q
- Since M = B and B is greater than or equal to C, and C is greater than or equal to Q, we can conclude M > Q.
- **This conclusion is true.**
Conclusion II: D ≤ Q
- M > D does not provide any direct information about the relationship between D and Q. M could be significantly greater than D while Q might still be less than M.
- **This conclusion does not necessarily follow.**
Conclusion III: M = Q
- Since M > D and Q ≤ C, there is no basis for concluding M = Q.
- **This conclusion does not follow.**
Conclusion IV: C <>
- From the statement, we know that M > D, but there is no basis for concluding that C < d="" since="" c="" could="" be="" equal="" to="" or="" greater="" than="" d.="">
- **This conclusion does not follow.**
Final Evaluation
Based on the analysis, only Conclusion I is true. The answer choices indicate that "only either I or III is true" is correct as it includes Conclusion I, which is valid.
Thus, the correct choice is:
Answer: a) Only either I or III is true.
The statement provided is:
P > Q ≤ C ≤ B = M > D
This can be broken down into relationships:
- P is greater than Q (P > Q)
- Q is less than or equal to C (Q ≤ C)
- C is less than or equal to B (C ≤ B)
- B is equal to M (B = M)
- M is greater than D (M > D)
Analyzing the Conclusions
Let's evaluate each conclusion based on the relationships established in the statement.
Conclusion I: M > Q
- Since M = B and B is greater than or equal to C, and C is greater than or equal to Q, we can conclude M > Q.
- **This conclusion is true.**
Conclusion II: D ≤ Q
- M > D does not provide any direct information about the relationship between D and Q. M could be significantly greater than D while Q might still be less than M.
- **This conclusion does not necessarily follow.**
Conclusion III: M = Q
- Since M > D and Q ≤ C, there is no basis for concluding M = Q.
- **This conclusion does not follow.**
Conclusion IV: C <>
- From the statement, we know that M > D, but there is no basis for concluding that C < d="" since="" c="" could="" be="" equal="" to="" or="" greater="" than="" d.="">
- **This conclusion does not follow.**
Final Evaluation
Based on the analysis, only Conclusion I is true. The answer choices indicate that "only either I or III is true" is correct as it includes Conclusion I, which is valid.
Thus, the correct choice is:
Answer: a) Only either I or III is true.
Directions: In the following question assuming the given statements to be true, find out which of the following two conclusions definitely true.Statements:A ≤ P = B; C = P; F < BConclusions:I. B < AII. F = P- a)Only conclusions I is true.
- b)Only conclusions II is true.
- c)Either conclusions I or II is true.
- d)Neither conclusions I nor II is true.
Correct answer is option 'D'. Can you explain this answer?
Directions: In the following question assuming the given statements to be true, find out which of the following two conclusions definitely true.
Statements:
A ≤ P = B; C = P; F < B
Conclusions:
I. B < A
II. F = P
a)
Only conclusions I is true.
b)
Only conclusions II is true.
c)
Either conclusions I or II is true.
d)
Neither conclusions I nor II is true.
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|
Nora Barnes answered |
Given Statements:
- A ≤ P = B
- C = P
- F < B
Conclusions:
I. B < A
II. F = P
Explanation:
- From the statements given, we know that A is less than or equal to P, which is equal to B. This implies that B is greater than or equal to A, so conclusion I (B < a)="" is="" not="" definitely="">
- We are also given that F is less than B and C is equal to P. However, there is no direct relationship given between F and P, so we cannot definitively conclude that F equals P. Therefore, conclusion II (F = P) is not definitely true.
Therefore, neither conclusion I nor II is definitely true based on the given statements. Hence, the correct answer is option 'D'.
- A ≤ P = B
- C = P
- F < B
Conclusions:
I. B < A
II. F = P
Explanation:
- From the statements given, we know that A is less than or equal to P, which is equal to B. This implies that B is greater than or equal to A, so conclusion I (B < a)="" is="" not="" definitely="">
- We are also given that F is less than B and C is equal to P. However, there is no direct relationship given between F and P, so we cannot definitively conclude that F equals P. Therefore, conclusion II (F = P) is not definitely true.
Therefore, neither conclusion I nor II is definitely true based on the given statements. Hence, the correct answer is option 'D'.
In the following question, Few statements are given which are followed by some conclusions. According to the given statements, which conclusion is/are definitely true?Statements:M ≤ N = O ; M ≤ P ; O < QConclusions:I. Q > NII. M ≥ O- a)Only conclusion II is true.
- b)Only conclusion I is true.
- c)Both conclusions I and II are true.
- d)None of the conclusions are true.
Correct answer is option 'B'. Can you explain this answer?
In the following question, Few statements are given which are followed by some conclusions. According to the given statements, which conclusion is/are definitely true?
Statements:
M ≤ N = O ; M ≤ P ; O < Q
Conclusions:
I. Q > N
II. M ≥ O
a)
Only conclusion II is true.
b)
Only conclusion I is true.
c)
Both conclusions I and II are true.
d)
None of the conclusions are true.
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Orion Classes answered |
According to given information:
Statements: M ≤ N = O ; M ≤ P ; O < Q
Combining the statement: P > M ≤ N = O < Q
Here, P is greater than or equal to M which is less than or equal to N equal to O which is less than Q.
Conclusions:
I. Q > N → True (In the given statement, P > M ≤ N = O < Q ,It clearly mentioned Q is greater than O which is equal to N .So, Q is greater than N too. Thus, the conclusion I is true).
II. M ≥ O → False (In the given statement, M ≤ N = O, It is clearly mentioned that M is less than or equal to N which is equal to O. So, M can never be greater than O. Thus, conclusion II is a false).
Hence, "Option b" is the correct answer.
Given below is an inequality, which of the following condition is TRUE?If P > Q ≤ R = S ≥ T- a)Q > S
- b)Q = T
- c)R < T
- d)None
Correct answer is option 'D'. Can you explain this answer?
Given below is an inequality, which of the following condition is TRUE?
If P > Q ≤ R = S ≥ T
a)
Q > S
b)
Q = T
c)
R < T
d)
None
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Ayesha Joshi answered |
Given inequality is, P > Q ≤ R = S ≥ T
1. Q > S → Q ≤ R = S, Q < S → False.
2. Q = T → Q ≤ R = S ≥ T, data is not sufficient to determine the relation → False.
3. R < T → R = S ≥ T, R ≥ T → False.
So, none of the options are correct.
In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and give your answers accordingly.Statements:P > Q; Q > R; R > S; S > TConclusions:I. T < QII. R < P- a)Only I is true
- b)Only II is true
- c)Neither I nor II is true
- d)Both I and II are true
Correct answer is option 'D'. Can you explain this answer?
In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and give your answers accordingly.
Statements:
P > Q; Q > R; R > S; S > T
Conclusions:
I. T < Q
II. R < P
a)
Only I is true
b)
Only II is true
c)
Neither I nor II is true
d)
Both I and II are true
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Orion Classes answered |
Given statements: P > Q; Q > R; R > S; S > T.
On combining: P > Q > R > S > T
Conclusions
I. T < Q → True (as Q > R > S > T → Q > T)
II. R < P → True (as P > Q > R → P > R)
Hence, both of the conclusions are true.
If A + B = C + D and A + D > B + C, then which one of the following is definitely wrong?- a)A > B
- b)A > C
- c)C < D
- d)B > D
Correct answer is option 'D'. Can you explain this answer?
If A + B = C + D and A + D > B + C, then which one of the following is definitely wrong?
a)
A > B
b)
A > C
c)
C < D
d)
B > D
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Ayesha Joshi answered |
Given : A + B = C + D
⇒ A - D = C - B ----- (i)
Also, it is given that A + D > B + C ----- (ii)
Subtracting (i) from (ii), we get :
D > B
Therefore, B > D is definitely wrong.
Hence, option 4 is the correct answer.
Directions: In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.Statements:
A > B, B > C, C = D, D < EConclusions:I. B = DII. B > D- a)Only I is True
- b)Only II is true
- c)Both I and II are True
- d)Either I or II are True
Correct answer is option 'B'. Can you explain this answer?
Directions: In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.
Statements:
A > B, B > C, C = D, D < E
A > B, B > C, C = D, D < E
Conclusions:
I. B = D
II. B > D
a)
Only I is True
b)
Only II is true
c)
Both I and II are True
d)
Either I or II are True
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Orion Classes answered |
Given statements: A > B, B > C, C = D, D < E
On combining: A > B > C = D < E
Conclusions:
I. B = D → False (as B > C = D → B > D thus clear relation between B and D)
II. B > D→ True (as B > C = D → B > D)
Therefore, only conclusion II is True.
In the given question, relationship between different elements is shown in the statement. The statement is followed by two conclusions. Study the conclusions based on the given statements and select the correct answer.Statements:U > H = G ≥ N; E < N > W ≥ OConclusion:I. G > EII. H > N- a)Either conclusion I or II is true
- b)Only conclusion I is true
- c)Neither conclusion I nor conclusion II is true
- d)Only conclusion II is true
Correct answer is option 'B'. Can you explain this answer?
In the given question, relationship between different elements is shown in the statement. The statement is followed by two conclusions. Study the conclusions based on the given statements and select the correct answer.
Statements:
U > H = G ≥ N; E < N > W ≥ O
Conclusion:
I. G > E
II. H > N
a)
Either conclusion I or II is true
b)
Only conclusion I is true
c)
Neither conclusion I nor conclusion II is true
d)
Only conclusion II is true
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Orion Classes answered |
Statements:
U > H = G ≥ N; E < N > W ≥ O
Conclusion:
I. G > E → True → According to the statement G ≥ N > E
II. H > N → False → According to the statement U > H = G ≥ N
Hence, Option (b) is correct.
Mistake Points:
As from the equation H = G ≥ N.
There is a difference in (≥, >) both the sign.
Mistake Points:
As from the equation H = G ≥ N.
There is a difference in (≥, >) both the sign.
When H ≥ N means H is greater or equal to N.
When H > N means H is greater than N.
As in conclusion 2, it is said H = G ≥ N from this we cannot say H is greater than N.
Thus conclusion 2 is false.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, decide which of the conclusions logically follows from the statements.Statements:P ≥ R, R > T, T ≤ AConclusions:I. P > AII. T < P- a)Either conclusion I or II follows.
- b)Only conclusion I follows.
- c)Only conclusion II follows.
- d)Neither conclusion I nor II follows.
Correct answer is option 'C'. Can you explain this answer?
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, decide which of the conclusions logically follows from the statements.
Statements:
P ≥ R, R > T, T ≤ A
Conclusions:
I. P > A
II. T < P
a)
Either conclusion I or II follows.
b)
Only conclusion I follows.
c)
Only conclusion II follows.
d)
Neither conclusion I nor II follows.
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Ayesha Joshi answered |
Statements: P ≥ R, R > T, T ≤ A
Conclusions:
I. P > A → False (As P ≥ R > T ≤ A → Thus, there is no clear relationship given between P and A)
II. T < P → True (As P ≥ R > T → T < P)
Hence, Only conclusion II follows.
Solve problems using substitution (Mathematical Operations): If A > B, B > C and C > D, then which of the following conclusions is definitely wrong?- a)A > D
- b)A > C
- c)D > A
- d)B > D
Correct answer is option 'C'. Can you explain this answer?
Solve problems using substitution (Mathematical Operations): If A > B, B > C and C > D, then which of the following conclusions is definitely wrong?
a)
A > D
b)
A > C
c)
D > A
d)
B > D
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Ayesha Joshi answered |
Given: A > B, B > C and C > D
After combining the operators,
we get: A > B > C > D
Now, checking the options:
Option A: A > D → True (As, A > B > C > D gives A > D)
Option B: A > C → True (As, A > B > C > D gives A > C)
Option C: D > A → False (As, A > B > C > D gives A > D)
Option D: B > D → True (As, A > B > C > D gives B > D)
So, Option C, D > A is definitely wrong.
Hence, the correct answer is "Option c".
Directions: In the following question assuming the given statements to be true, find which of the given conclusions is definitely true.Statement:C < O > K; Z < R < N = C- a)R < C
- b)Z > N
- c)O = R
- d)C < K
Correct answer is option 'A'. Can you explain this answer?
Directions: In the following question assuming the given statements to be true, find which of the given conclusions is definitely true.
Statement:
C < O > K; Z < R < N = C
a)
R < C
b)
Z > N
c)
O = R
d)
C < K
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Ayesha Joshi answered |
Given:
C < O > K; Z < R < N = C
On Combining:
Z < R < N = C < O > K
Conclusions:
1. R < C → True (as R < N = C)
2. Z > N → False (as Z < R < N; therefore Z < N)
3. O = R → False (as R < N = C < O; therefore R < O)
4. C < K → False (as C < O > K; thus, a clear relation between C and K cannot be established)
Hence, “R < C” is definitely true among the given options.
In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.Statements:
P < Q < R; R = S ≤ TConclusions:I. Q > TII. S > P- a)None is true
- b)Both I and II are true
- c)Only II is true
- d)Only I is true
Correct answer is option 'C'. Can you explain this answer?
In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.
Statements:
P < Q < R; R = S ≤ T
P < Q < R; R = S ≤ T
Conclusions:
I. Q > T
II. S > P
a)
None is true
b)
Both I and II are true
c)
Only II is true
d)
Only I is true
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Orion Classes answered |
Given statements: P < Q < R; R = S ≤ T
On combining: P < Q < R = S ≤ T
Conclusions:
I. Q > T → False (as Q < R and R = S ≤ T → Q < R = S ≤ T → Q ≤ T)
II. S > P → True (as P < Q < R; R = S → P < Q < R = S → P < S)
Hence, only conclusion II is true.
In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and give your answers accordingly.Statements:B > C; C < D; D > E; E > FConclusions:I. C < FII. B > D- a)Both I and II follow
- b)Only I follows
- c)Only II follows
- d)None follows
Correct answer is option 'D'. Can you explain this answer?
In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and give your answers accordingly.
Statements:
B > C; C < D; D > E; E > F
Conclusions:
I. C < F
II. B > D
a)
Both I and II follow
b)
Only I follows
c)
Only II follows
d)
None follows
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Ayesha Joshi answered |
Given statements: B > C; C E; E > F
On combining: B > C < D > E < F
Conclusions:
I. C < F → False (as C < D > E < F → clear relationship between F and D cannot be determined)
II. B > D → False (as B > C < D → clear relation between B and D cannot be determined)
Hence, none of the conclusions is true.
In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.Statement:
P > S ≥ M = L < J = NConclusions:I. L < NII. P > MIII. S = L - a)Only conclusion III is true
- b)Both conclusions I and II are true
- c)Either conclusion I or III is true
- d)All follow
Correct answer is option 'B'. Can you explain this answer?
In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.
Statement:
P > S ≥ M = L < J = N
P > S ≥ M = L < J = N
Conclusions:
I. L < N
II. P > M
III. S = L
a)
Only conclusion III is true
b)
Both conclusions I and II are true
c)
Either conclusion I or III is true
d)
All follow
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Orion Classes answered |
Given statement: P > S ≥ M = L < J = N
I. L < N → True (as L < J = N)
II. P > M → True (as P > S ≥ M)
III. S = L → False (as S ≥ M = L gives either S = L or S > L)
Hence, both conclusions I and II are true.
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