Inequalities Quiz Set 031 | Reasoning quiz on Mathematical Inequalities Set 31 | 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 ≤ Y
© means X ≥ Y
∏ means X < Y
µ means X > Y

Statements: T µ U; U $ V; V √ W;

Conclusions:

T ∏ W
V µ T

both I and II are true.

only conclusion II is true.

only conclusion I is true.

neither I nor II is true.

Soln.
Ans: d

The statements can be translated to T > U = V ≤ W. Conclusion I translates to T < W. Conclusion II translates to V > T. So we can see that neither I nor 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»

Question 2

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

∃ means X = Y
∇ means X ≤ Y
∩ means X ≥ Y
© means X < Y
% means X > Y

Statements: J © K; K ∃ L; L ∇ M;

Conclusions:

J % M
K % M

both I and II are true.

only conclusion II is true.

only conclusion I is true.

neither I nor II is true.

Soln.
Ans: d

The statements can be translated to J < K = L ≤ M. Conclusion I translates to J > M. Conclusion II translates to K > M. So we can see that neither I nor 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»

Question 3

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

@ means X = Y
$ means X ≯ (not more than) Y
≅ means X ≮ (not less than) Y
§ means X < Y
Θ means X > Y

Statements: Q Θ R; R @ S; S § T;

Conclusions:

Q Θ S
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: c

The statements can be translated to Q > R = S < T. Conclusion I translates to Q > S. Conclusion II translates to R ≥ T. 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 4

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

∧ means X = Y
Ω means X ≯ (not more than) Y
∏ means X ≮ (not less than) Y
∩ means X < Y
µ means X > Y

Statements: O ∏ P; P ∧ Q; Q ∏ R;

Conclusions:

O ∧ Q
O µ P

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: d

The statements can be translated to O ≥ P = Q ≥ R. Conclusion I translates to O = Q. Conclusion II translates to O > P. So we can see that either I or II can be 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.

∩ means X = Y
¥ means X ≤ Y
≅ means X ≮ (not less than) Y
∅ means X < Y
Ξ means X > Y

Statements: S ∩ T; T ∅ U; U ∩ V;

Conclusions:

S ∅ V
T ∅ U

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 S = T < U = V. Conclusion I translates to S < V. Conclusion II translates to T < U. 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»