Inequalities Quiz Set 044 | Reasoning quiz on Mathematical Inequalities Set 44 | reasoning sample questions for Bank PO, SSB/SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

In a certain language different symbols represent different operators as follows.

√ means X = Y
¢ means X ≯ (not more than) Y
£ means X ≥ Y
∧ means X < Y
∀ means X > Y

Statements: N √ O; O √ P; P ∧ Q;

Conclusions:

N ∧ Q
O ∀ Q

both I and II are true.

only conclusion II is true.

only conclusion I is true.

either I or II can be true.

Soln.
Ans: c

The statements can be translated to N = O = P < Q. Conclusion I translates to N < Q. Conclusion II translates to O > Q. So we can see that only conclusion I is true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.

Solution | Discuss! | Chapters»

Question 2

In a certain language different symbols represent different operators as follows.

ρ means X = Y
∂ means X ≯ (not more than) Y
≅ means X ≮ (not less than) Y
∇ means X < Y
√ means X > Y

Statements: R ∂ S; S ρ T; T ρ U;

Conclusions:

S ρ U
R ∇ T

both I and II are true.

only conclusion II is true.

only conclusion I is true.

either I or II can be true.

Soln.
Ans: a

The statements can be translated to R ≤ S = T = U. Conclusion I translates to S = U. Conclusion II translates to R < T. So we can see that both I and II are true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.

Solution | Discuss! | Chapters»

Question 3

In a certain language different symbols represent different operators as follows.

© means X = Y
ω means X ≤ Y
√ means X ≥ Y
⊗ means X < Y
¥ means X > Y

Statements: A ¥ B; B © C; C © D; D ¥ E;

Conclusions:

A ¥ E
A ¥ D
A ¥ C

Which of the above conclusions is/are true?

All.

both I and II.

II only.

both II and III.

Soln.
Ans: a

The statements can be translated to A > B = C = D > E.

The conclusions translate to:

A > E(True)
A > D(True)
A > C(True)

Solution | Discuss! | Chapters»

Question 4

In a certain language different symbols represent different operators as follows.

λ means X = Y
« means X ≤ Y
∀ means X ≥ Y
$ means X < Y
Ξ means X > Y

Statements: T Ξ U; U Ξ V; V λ W;

Conclusions:

T Ξ W
T Ξ V

both I and II are true.

only conclusion II is true.

only conclusion I is true.

either I or II can be true.

Soln.
Ans: a

The statements can be translated to T > U > V = W. Conclusion I translates to T > W. Conclusion II translates to T > V. So we can see that both I and II are true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.

Solution | Discuss! | Chapters»

Question 5

In a certain language different symbols represent different operators as follows.

Δ means X = Y
√ means X ≯ (not more than) Y
ρ means X ≮ (not less than) Y
® means X < Y
∏ means X > Y

Statements: Q ∏ R; R Δ S; S ∏ T;

Conclusions:

Q Δ T
R ∏ T

both I and II are true.

only conclusion II is true.

only conclusion I is true.

either I or II can be true.

Soln.
Ans: b

The statements can be translated to Q > R = S > T. Conclusion I translates to Q = T. Conclusion II translates to R > T. So we can see that only conclusion II is true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.

Solution | Discuss! | Chapters»