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MCQ Test: Coded Inequalities - Bank Exams MCQ


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15 Questions MCQ Test Reasoning Aptitude for Competitive Examinations - MCQ Test: Coded Inequalities

MCQ Test: Coded Inequalities for Bank Exams 2024 is part of Reasoning Aptitude for Competitive Examinations preparation. The MCQ Test: Coded Inequalities questions and answers have been prepared according to the Bank Exams exam syllabus.The MCQ Test: Coded Inequalities MCQs are made for Bank Exams 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ Test: Coded Inequalities below.
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MCQ Test: Coded Inequalities - Question 1
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The symbols a, f, #, ⋆ and ∞ are used with the following meanings :
R a S implies that R is greater than S.
R f S implies that R is lesser than S.
R # S implies that R is equal to S.
R ⋆ S implies that R is either greater than or equal to S.
R ∞ S implies that R is either lesser than or equal to S.
Based on the above statements, answer the following :
Statements :
M a N, O f M, M ∞ P
Conclusions :
I. M ⋆ P
II. O f P

Detailed Solution for MCQ Test: Coded Inequalities - Question 1

Statements :
M a N means M > N
O f M means O < M
M ∞ P means M ≤ P
Conclusions :
I. M ⋆ P → means M ≥ P . This conclusion cannot be drawn from the above statements. Hence conclusion I is false.
II. O f P  → means O < P. Since it is given that O < M and M ≤ P, we can conclude that O < P. Hence conclusion II is true.
Hence option 2 :Conclusion II is true but I is false is correct.

MCQ Test: Coded Inequalities - Question 2
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Direction: In the following question assuming the given statement to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.
‘A & B’ means ‘A is either smaller than or equal to B.’
‘A @ B’ means ‘A is neither smaller than nor equal to B.’
‘A % B’ means ‘A is either greater than or 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.’
Statements: A % D @ G + H # C; B & F @ C + E
Conclusions:
I. A @ E
II. G # F

Detailed Solution for MCQ Test: Coded Inequalities - Question 2

As per the information given,

Given Statement: A % D @ G + H # C; B & F @ C + E
On converting: A ≥ D > G = H < C; B ≤ F > C = E
On combining: A ≥ D > G = H < C = E < F ≥ B
Conclusions:
I. A @ E → A > E → False (as A ≥ D > G = H < C = E).
II. G # F → G < F → True (as G = H < C = E < F).
Hence, only II follow.

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MCQ Test: Coded Inequalities - Question 3
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The simple interest accrued on a sum of certain principal is Rs. 1200 in 4 years at the rate of 8% per annum. What would be the simple interest accrued on thrice of that principle at the rate of 6% per annum in 3 years?

Detailed Solution for MCQ Test: Coded Inequalities - Question 3

Given
S.I = 1200
Rate = 8%
Time = 4 yr
Formula
SI = PRT/100
Solution
⇒ 1200 = (P × 8 × 4)/100
⇒ P = 3750
Now the simple interest accrued on thrice of that principle at the rate of 6% per annum in 3 years:
⇒ 3 × P = 112500
⇒ SI = (11250 × 6 × 3)/100
⇒ SI = 2025

MCQ Test: Coded Inequalities - Question 4
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Comprehension:
Direction: Study the information given carefully and answer the question given below.
‘A # B’ means ‘A is either smaller than or equal to B.’
‘A $ B’ means ‘A is neither smaller than nor equal to B.’
‘A + B’ means ‘A is either greater than or 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.’
Statement: S @ T $ Q + R; Q * P @ W
Conclusion:
I) R # W
II) W $ R
Detailed Solution for MCQ Test: Coded Inequalities - Question 4

As per the information given,

Given Statement: S @ T $ Q + R; Q * P @ W
On converting: S < T > Q ≥ R; Q = P < W
On combining: S < T > Q = P ≥ R, S < T > Q = P < W, R ≤ Q = P < W
Conclusions:
I. R # W → R ≤ W → False (as R ≤ Q = P < W, therefore R < W)
II. W $ R → W > R → True (as R ≤ Q = P < W, therefore R < W).
Hence, only conclusions II follows.

MCQ Test: Coded Inequalities - Question 5
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Comprehension:
Direction: Study the information given carefully and answer the question given below.
‘A # B’ means ‘A is either smaller than or equal to B.’
‘A $ B’ means ‘A is neither smaller than nor equal to B.’
‘A + B’ means ‘A is either greater than or 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.’
Statement: S @ T $ Q + R; Q * P @ W
Conclusion:
I) R # W
II) W $ R
III) R @ T
Detailed Solution for MCQ Test: Coded Inequalities - Question 5

As per the information given,

Given Statement: S @ T $ Q + R; Q * P @ W
On converting: S < T > Q ≥ R; Q = P < W
On combining: S < T > Q = P ≥ R, S < T > Q = P < W, R ≤ Q = P < W
Conclusions:
I. R # W → R ≤ W → False (as R ≤ Q = P < W, therefore R < W)
II. W $ R → W > R → True (as R ≤ Q = P < W, therefore R < W).
III. R @ T → R < T → True (as T > Q = P ≥ R, therefore R < T)
Hence, only conclusions II and III follows.

MCQ Test: Coded Inequalities - Question 6
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Comprehension:
Direction: In the following questions, the symbols *, #, %, & and $ are used with the following meaning as illustrated below:
‘X * Y’ means ‘X is neither less than nor greater than Y’.
‘X # Y’ means ‘X is either greater than or equal to Y’.
‘X % Y’ means ‘X is less than Y’.
‘X & Y’ means ‘X is neither less than nor equal to Y’.
‘X $ Y’ means ‘X is not greater than Y’.
Now in each of the following questions assuming the given statements to be True, find which of the conclusion/s given below them is/are definitely True?
Statements: 
A % B, C & D, F * E # C, D % A
Conclusions:
I. D % B
II. E & A
III. F & D
Detailed Solution for MCQ Test: Coded Inequalities - Question 6

According to the given information,

Given Statements: A % B, C & D, F * E # C, D % A
On converting: A < B, C > D, F = E ≥ C, D < A
On combining: F = E ≥ C > D < A < B
Conclusions:
I. D % B → D < B → True (as D < A < B→ D < B)
II. E & A → E > A → False (as E ≥ C > D < A → E > D < A → thus clear relation between E and A can’t be determined)
III. F & D → F > D → True (as F = E ≥ C > D → F ≥ C > D → F > D)
Hence, both conclusions I and III are true.

MCQ Test: Coded Inequalities - Question 7
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Comprehension:
Direction: In the following questions, the symbols *, #, %, & and $ are used with the following meaning as illustrated below:
‘X * Y’ means ‘X is neither less than nor greater than Y’.
‘X # Y’ means ‘X is either greater than or equal to Y’.
‘X % Y’ means ‘X is less than Y’.
‘X & Y’ means ‘X is neither less than nor equal to Y’.
‘X $ Y’ means ‘X is not greater than Y’.
Now in each of the following questions assuming the given statements to be True, find which of the conclusion/s given below them is/are definitely True?
Statements
Q & P, Y * U, D % P, Y # D
Conclusions:
I. U * D
II. D $ U
III. D & U
Detailed Solution for MCQ Test: Coded Inequalities - Question 7

According to the given information,

Statement: Q & P, Y * U, D % P, Y # D
On converting: Q > P, Y = U, D < P, Y ≥ D
On combining: Q > P > D ≤ Y = U
Conclusions:
I. U * D → U = D → False (as D ≤ Y = U → D ≤ U)
II. D $ U → D ≤ U → True (as D ≤ Y = U → D ≤ U)
III. D & U → D > U → False (as D ≤ Y = U → D ≤ U)
Hence, Only conclusion II is true.

MCQ Test: Coded Inequalities - Question 8
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In the following questions, the symbols $, #, @, % and * illustrate the following meanings.

  • P $ Q - P is not smaller than Q
  • P # Q - P is neither greater than nor equal to Q.
  • P @ Q - P is neither smaller than nor equal to Q.
  • P % Q - P not greater than Q
  • P * Q - P is neither greater than nor smaller than Q

Statements:
K # L, L % M, M * N, N # O
Conclusions:
I. K # M
II. K * M
III. L % O
Detailed Solution for MCQ Test: Coded Inequalities - Question 8


K # L → K < L
L % M → L ≤ M
M * N → M = N
N # O → N < O
Combining all the statements together, we get:
K < L ≤ M = N < O
I. K # M → K < M → True (As, K < L ≤ M → K < M)
II. K * M → K = M → False (As, K < L ≤ M → K < M)
III. L % O → L ≤ O → False (As, L ≤ M = N < O → L < O)
Hence, ‘I only’ is the correct answer.

MCQ Test: Coded Inequalities - Question 9
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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: H > F ≤ O ≤ L; F ≥ V < D
Conclusions:
I. L ≥ V
II. O > D
Detailed Solution for MCQ Test: Coded Inequalities - Question 9

Given statements: H > F ≤ O ≤ L; F ≥ V < D
Combined Statement: H > F, L ≥ O ≥ F ≥ V < D
Conclusions:
I. L ≥ V → True ( as L ≥ O ≥ F ≥ V → L ≥ V )
II. O > D → False ( as O ≥ F ≥ V < D → thus clear relation between O and D cannot be determined)
Hence, only I is true.

MCQ Test: Coded Inequalities - Question 10
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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: E > R < T, V > Z ≥ K = T
Conclusions:
I. V < E
II. R < Z
Detailed Solution for MCQ Test: Coded Inequalities - Question 10

Given statements: E > R < T, V > Z ≥ K = T
Combined Statement: V > Z ≥ K = T > R < E
Conclusions:
I. V < E → False ( as V > Z ≥ K = T > R < E → thus clear relation between V and E cannot be determined)
II. R < Z → True ( as Z ≥ K = T > R → R < T = K ≤ Z → R < Z)
Hence, only II is true.

MCQ Test: Coded Inequalities - Question 11
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Directions: In these types of questions the symbols $, *, @, ©, # are used with the following meanings as illustrated below:
‘P$Q’ means ‘P is smaller than Q’
‘P©Q’ means P is greater than Q’
‘P#Q’ means P is equal to Q’
‘P@Q’ means P is either equal to or greater than Q
‘P*Q’ means P is either equal to or less than Q
Now in each of the following questions assuming the given statements to be True, find which of the conclusion/s given below them is/are definitely True?
Statements:
B © C # D @ X; E * X; D @ Z
Conclusions:
I. B © E
II. Z @ B
Detailed Solution for MCQ Test: Coded Inequalities - Question 11


Statements: B © C # D @ X; E * X; D @ Z
On converting: B > C = D ≥ X ≥ E; B > C = D ≥ Z
Conclusion:
I. B > E → TRUE (B > C = D ≥ X ≥ E)
II. Z ≥ B → False (B > C = D ≥ Z)
Hence Only Conclusion I is true.

MCQ Test: Coded Inequalities - Question 12
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Read the given statement and conclusions carefully. Decide which of the given conclusions is/are true based on the given statement.
Statement:
Z > H ≥ Y > R < D ≥ F > X
Conclusions:
I. Z ≥ X
II. F > H
Detailed Solution for MCQ Test: Coded Inequalities - Question 12

Given: Z > H ≥ Y > R < D ≥ F > X
The logic followed here is:
There is no relationship between Z and X, F and H. This is obtained from given inequality.
Conclusion I: Z ≥ X → False  (as Z > H ≥ Y > R < D ≥ F > X, no clear relation between Z and X can be formed)
Conclusion II: F > H → False ( as H ≥ Y > R < D ≥ F, no clear relation between F and H can be formed)
Hence, Neither conclusion I nor II is true is the correct answer.

MCQ Test: Coded Inequalities - Question 13
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Directions: In the following question, the symbols δ, @, ©, % and ⋆ are used with the following meaning as illustrated below.
‘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 δ B’ means ‘A is not greater than B’.‘A @ B’ means ‘A is neither greater than nor smaller than B’.
Now in each of the following questions assuming the given statements to be true, find which of the four conclusions I, II, II and IV given below them is / are definitely true and give your answer accordingly.
Statements:
A © B, C © B, D % C
Conclusions:
I. B % D
II. C @ A
III. D @ A
IV. B ⋆ D
Detailed Solution for MCQ Test: Coded Inequalities - Question 13

Decode the information as:

After decoding the statements using the above table:
A ≥ B, C ≥ B, D > C
Combined decoded statement is:
D > C ≥ B ≤ A
Conclusions:
I. B > D → False (as D > C ≥ B → D > B)
II. C = A → False (as C ≥ B ≤ A → No direct relation found between A and C)
III. D = A → False (as C ≥ B ≤ A → No direct relation found between A and D)
IV. B < D → True (as D > C ≥ B → D > B)
Therefore, only IV is true.

MCQ Test: Coded Inequalities - Question 14
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In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statements:
P = U < M < K ≤ I > N
Conclusions:
I. N ≥ K
II. I > P
Detailed Solution for MCQ Test: Coded Inequalities - Question 14

Given statement is,
P = U < M < K ≤ I > N
Conclusions:
I. N ≥ K, this is false as there is no relation between N and K
II: I > P, this is true.
Hence, “only conclusion II” is true.

MCQ Test: Coded Inequalities - Question 15
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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: G < R = T ≤ P, V > R > S
Conclusions:
I. V > P
II. P > S
Detailed Solution for MCQ Test: Coded Inequalities - Question 15

Given statements: G < R = T ≤ P, V > R > S
Combined Statement: G < R = T ≤ P, V > R = T ≤ P, V > R > S, P ≥ T = R > S
Conclusions:
I. V > P → False ( as V > R = T ≤ P → thus clear relation between V and P cannot be determined)
II. P > S → True ( as P ≥ T = R > S → P > S)
Hence, only II is true.

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