Inequalities Quiz Set 014 | Reasoning quiz on Mathematical Inequalities Set 14 | 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
ω means X ≯ (not more than) Y
« means X ≥ Y
∏ means X < Y
Δ means X > Y

Statements: G Δ H; H ∀ I; I « J;

Conclusions:

H Δ J
H ∀ J

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 G > H = I ≥ J. Conclusion I translates to H > J. Conclusion II translates to H = J. 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 2

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

∀ means X = Y
@ means X ≯ (not more than) Y
Θ means X ≥ Y
§ means X < Y
η means X > Y

Statements: M @ N; N η O; O @ P;

Conclusions:

M § P
N § O

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 M ≤ N > O ≤ P. Conclusion I translates to M < P. Conclusion II translates to N < O. 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.

η means X = Y
≅ means X ≤ Y
∅ means X ≥ Y
Θ means X < Y
ω means X > Y

Statements: O η P; P η Q; Q Θ R; R Θ S;

Conclusions:

P Θ R
S ω P
S ω Q

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 O = P = Q < R < S.

The conclusions translate to:

P < R(True)
S > P(True)
S > Q(True)

Solution | Discuss! | Chapters»

Question 4

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

§ means X = Y
ω means X ≤ Y
% means X ≮ (not less than) Y
∏ means X < Y
® means X > Y

Statements: B § C; C § D; D ω E;

Conclusions:

B ® E
D ® B

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 B = C = D ≤ E. Conclusion I translates to B > E. Conclusion II translates to D > B. 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 5

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
≅ means X > Y

Statements: O @ P; P ∇ Q; Q ¥ R;

Conclusions:

O ≅ Q
P @ R

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 O ≥ P = Q < R. Conclusion I translates to O > Q. Conclusion II translates to P ≥ R. 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»