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Coded Inequalities MCQ - 1 - Bank Exams MCQ


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25 Questions MCQ Test Reasoning Aptitude for Competitive Examinations - Coded Inequalities MCQ - 1

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Coded Inequalities MCQ - 1 - Question 1

Statements:

A ≥ B; C > G; A ≥ H;

B ≥ C; I = B

Conclusions:

I. C > H
II. H > B
III. B > G
IV. I > A

Detailed Solution for Coded Inequalities MCQ - 1 - Question 1

Explanation:
To understand the answer, let's analyze each conclusion separately:
Conclusion I: C > H
- We have A ≥ H and B ≥ C.
- Since A ≥ B, we can deduce that B ≥ H.
- Therefore, we cannot conclude that C > H.
Conclusion II: H > B
- We have A ≥ B and A ≥ H.
- However, we cannot determine the relationship between H and B based on the given information.
Conclusion III: B > G
- We have C > G and B ≥ C.
- Since B ≥ C and C > G, we can conclude that B > G.
Conclusion IV: I > A
- We have I = B and A ≥ B.
- Therefore, we cannot conclude that I > A.
Based on the analysis, only Conclusion III (B > G) is true. Therefore, the correct answer is E.

Coded Inequalities MCQ - 1 - Question 2

Statements: 

A=B; C≤F; G>C; B<F

Conclusions:

I. F < B
II. F > G
III. A > G
IV. A > C

Detailed Solution for Coded Inequalities MCQ - 1 - Question 2

Explanation:
Let's analyze each conclusion one by one:
Conclusion I: F < B
- We have A = B, and B < F. Therefore, F > A, and since A = B, F > B. So, conclusion I is not true.
Conclusion II: F > G
- We have G > C, and C ≤ F. We cannot definitely conclude F > G because there might be a case where G = F. So, conclusion II is not true.
Conclusion III: A > G
- We have A = B, and G > C, and C ≤ F, and B < F. We cannot definitely conclude A > G because there might be a case where A = G. So, conclusion III is not true.
Conclusion IV: A > C
- We have A = B, and C ≤ F, and B < F. We cannot definitely conclude A > C because there might be a case where A = C. So, conclusion IV is not true.
Since none of the conclusions are true, the correct answer is:
E: None is true

Coded Inequalities MCQ - 1 - Question 3

Statement:- A ≥ B > C = D > E; F > B; Z < D; M > A
Conclusions
a.      M > Z
b.      M = Z
c.      Z > C
d.      B = D

Detailed Solution for Coded Inequalities MCQ - 1 - Question 3

Given statements: - A ≥B>C = D>E; F>B; Z<D; M>A

M > Z- True (As Per M>A ≥B>C=D>Z)

M = Z- False (because when we moving from M to Z we see > Sign as M>A so we give priority to > Sign)

Z > C- False (Because we can see that Z<D and D = C. Therefore, Z>D holds Definitely False)

B = D- False (Because B > C = D. So B=D holds definitely False)

Hence, the correct answer is M>Z.

Coded Inequalities MCQ - 1 - Question 4

Statement :

P ≥ Q > R < S ≤ T

Conclusion:

I. T > R
II. T > Q
III. R < P
IV. Q > P

Detailed Solution for Coded Inequalities MCQ - 1 - Question 4

Explanation:
Let's analyze each conclusion one by one:
Conclusion I: T > R**
- Given: R < S ≤ T
- Since R < S and S ≤ T, we can conclude that T > R.
- So, Conclusion I is true.
Conclusion II: T > Q
- Given: P ≥ Q > R < S ≤ T
- We cannot directly conclude that T > Q from the given information. There is no specific relationship given between T and Q that allows us to determine their order.
- So, Conclusion II is not true.
Conclusion III: R < P
- Given: P ≥ Q > R < S ≤ T
- Since P ≥ Q and Q > R, we can conclude that P > R.
- So, Conclusion III is true.
Conclusion IV: Q > P
- Given: P ≥ Q > R < S ≤ T
- The given information states that P ≥ Q, which means P can be greater than or equal to Q, but not necessarily less than Q.
- So, Conclusion IV is not true.
Based on the analysis, only Conclusions I and III are true. Therefore, the correct answer is:
C: Only I and III are true.Only I and III are true

Coded Inequalities MCQ - 1 - Question 5

Statement :

P < Q ≥ R > S ≤ T

Conclusion:

I. T ≥ R
II. P < R
III. Q > S
IV. S < P

Detailed Solution for Coded Inequalities MCQ - 1 - Question 5

The correct answer is E.

Given:

P < Q ≥ R > S ≤ T

Conclusions:

I. T ≥ R

This is true. Since R > S ≤ T, then T ≥ R.

II. P < R

This is true. Since P < Q ≥ R, then P < R.

III. Q > S

This is not necessarily true. We know that Q ≥ R > S, but we do not know the relationship between Q and S.

IV. S < P

This is not necessarily true. We know that P < Q ≥ R > S, but we do not know the relationship between P and S.

Therefore, only conclusions I and II are true.

Coded Inequalities MCQ - 1 - Question 6

Statements:

M<N<O=P; N = Q

Conclusions:

i. P>M, ii. Q<O

Detailed Solution for Coded Inequalities MCQ - 1 - Question 6

The correct answer is E.

Given:

  • M<N<O=P
  • N = Q

Conclusions:

I. P>M

This is true. Since M<N<O=P, then P>M.

II. Q<O

This is true. Since N = Q and N<O, then Q<O.

Therefore, both conclusions I and II are true.

Coded Inequalities MCQ - 1 - Question 7

Statements:

A>N=I>W<O<P;

O>S; T<N

Conclusions:

i. P>S,
ii. A<W

Detailed Solution for Coded Inequalities MCQ - 1 - Question 7

Explanation of the answer:
Given Statements:

- A > N = I > W < O < P
- O > S
- T < N
We need to find the validity of the given conclusions:
1. P > S
2. A < W
Conclusion 1: P > S
- From the first statement, we have O < P
- From the second statement, we have O > S
- Combining these two, we get: S < O < P, which implies P > S
- Therefore, Conclusion 1 is true.
Conclusion 2: A < W
- From the first statement, we have A > N = I > W
- This implies A > W, which is opposite to the given conclusion (A < W)
- Therefore, Conclusion 2 is false.
Based on the above analysis, the correct answer is **A: Only I is true**.Only I is true

Coded Inequalities MCQ - 1 - Question 8

Statements:

M≥N≥O>P≤Q≤R

Conclusions:

i. M>Q, ii. N≤R

Detailed Solution for Coded Inequalities MCQ - 1 - Question 8

Explanation:
Given statements:
- M≥N≥O
- P≤Q≤R
We need to analyze the given conclusions:
i. M>Q
ii. N≤R
Let's analyze each conclusion:
Conclusion i. M>Q

- We know M≥N≥O, but we have no information about the relationship between O and Q. Hence, we cannot conclude anything about the relationship between M and Q. So, conclusion i is not necessarily true.
Conclusion ii. N≤R
- We know N≥O and P≤Q≤R, but we have no information about the relationship between O and P. Hence, we cannot conclude anything about the relationship between N and R. So, conclusion ii is not necessarily true.
Since neither conclusion i nor conclusion ii is necessarily true, the answer is:
D: Neither I nor II is true

Coded Inequalities MCQ - 1 - Question 9

Statements:

M<P≤G = F≥B; H≥F<I; J≥P

Conclusions:

P≤B, M<H

Detailed Solution for Coded Inequalities MCQ - 1 - Question 9

Explanation:
Given Statements:
- M- H≥F- J≥P
Let's analyze the given conclusions:
Conclusion I: P≤B

- From the first statement, we have P≤G = F≥B.
- We can infer that P≤G and G=F≥B.
- However, we cannot directly conclude that P≤B from the given information.
Conclusion II: M- From the first statement, we have M- From the second statement, we have H≥F.
- From the third statement, we have J≥P.
- Since M- We are also given H≥F- Since H≥F and G=F, we can infer that H≥G.
- Since M
Answer: B (Only II is true)

Coded Inequalities MCQ - 1 - Question 10

Statements:

M<P≤G = F≥B;

H≥F<I; J≥P

Conclusions:

H≥J, B<I

Coded Inequalities MCQ - 1 - Question 11

Direction(11-15): 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

Coded Inequalities MCQ - 1 - Question 12

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

Q. Statements:

A * E, E $ F, F # O, O 
@ L

Conclusions:

I. L # F
II. E @ O
III. A # O
IV. E @ L

Coded Inequalities MCQ - 1 - Question 13

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

Q. Statements:

B @ Q, Q # A, A & L, 
L * N

Conclusions:

I. N $ A
II. L @ Q
III. B @ N
IV. Q # N

Detailed Solution for Coded Inequalities MCQ - 1 - Question 13

I, II and IV are true

Coded Inequalities MCQ - 1 - Question 14

In the question symbols $, #, % are used for different meanings as follows. 
$ means ‘neither greater nor equal to’. 
# means ‘neither greater nor smaller than’. 
% means ‘neither smaller nor equal to’. 
In each of the following questions, assuming the given statements to be true, find out which of the two conclusions I and II given below them is/are definitely true.
Statements: T % I, I # L, L % U 
Conclusions: I. T $ L 
II. U $ T

Detailed Solution for Coded Inequalities MCQ - 1 - Question 14

$ → < 
# → = 
% → > 
Statements: T%I, I#L, L%U 
T> I=L>U 
Conclusions:
 I. T$L → T < L(False) 
II. U$T → U < T(True)

Coded Inequalities MCQ - 1 - Question 15

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

Q. Statements:

A $ E, E @ F, F * G, 
G # H

Conclusions:

I. H @ E
II. A $ G
III. E @ H
IV. A @ F

Detailed Solution for Coded Inequalities MCQ - 1 - Question 15

Only IV is true

Coded Inequalities MCQ - 1 - Question 16

Directions (Q.No – 16-20) In these questions, relationships between different elements is shown in the statements. These statements are followed by two conclusions.

Q. 

Statement:

B≥E<N<Q<R=S

Conclusions:

I. S>E

II.Q<B

Detailed Solution for Coded Inequalities MCQ - 1 - Question 16

If only Conclusion I follows

Coded Inequalities MCQ - 1 - Question 17

Statement:

P≥Q>R<E=G>N

Conclusions:

I. P>G

II. R>N

Detailed Solution for Coded Inequalities MCQ - 1 - Question 17

If neither Conclusion I nor II follows

Coded Inequalities MCQ - 1 - Question 18

Statement:

A>S>P>O=E

Conclusions:

I. P≥E

II. S>E

Detailed Solution for Coded Inequalities MCQ - 1 - Question 18

If only Conclusion II follow

Coded Inequalities MCQ - 1 - Question 19

Statement:

A=B≥C, D<C

Conclusions:

I. A≥D

II. B>D

Detailed Solution for Coded Inequalities MCQ - 1 - Question 19

If only Conclusion II follows

Coded Inequalities MCQ - 1 - Question 20

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: R ≤ P ≤ Q; R ≥ S > T ≤ M = U

Conclusions:

I. Q > T
II. R ≥ M

Detailed Solution for Coded Inequalities MCQ - 1 - Question 20

Option 2 : Only I is True

Coded Inequalities MCQ - 1 - Question 21

In which of these expressions „U > W‟ be definitely false?

Detailed Solution for Coded Inequalities MCQ - 1 - Question 21

P<A≤U≤T;W≥O>T

Coded Inequalities MCQ - 1 - Question 22

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

Detailed Solution for Coded Inequalities MCQ - 1 - Question 22

≥, =, ≥,<

Coded Inequalities MCQ - 1 - Question 23

In Which of the following expressions does the expression „D=V‟ to definitely hold true?

Detailed Solution for Coded Inequalities MCQ - 1 - Question 23

V ≥ E = G ≥ W = Y ≥ D

Coded Inequalities MCQ - 1 - Question 24

Which of the following expressions is true if the expression P<T<=B>S>M>=A is definitely true?

Detailed Solution for Coded Inequalities MCQ - 1 - Question 24

A < B

Coded Inequalities MCQ - 1 - Question 25

In which of these expressions „S > V‟ and „V > B‟ be definitely false?

Detailed Solution for Coded Inequalities MCQ - 1 - Question 25

P<A≤S≤T;V≥O>T<B

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