4 + Interview Questions in Mathematical Inequalities in Logical Reasoning Page 1 InterviewSolution

1.	Directions: In these questions, relationship between different elements is shown in the statements. These Statements are followed by 2 Conclusions. Marks answer as option given.Statements:P > Q = R≥ S, V≥ T≤ U = SConclusions:I. R≥ SII. P > U1. Only conclusion I follows.2. Only conclusion II follows.3. Neither I nor II follows.4. Both conclusion I and II follows.5. Either conclusion I or II follows.
Answer» Correct Answer - Option 4 : Both conclusion I and II follows. Given statements:P > Q = R≥ S, V≥ T≤ U = S On combining:P > Q = R≥ S = U≥ T ≤ V Conclusions: I. R≥ S - True (AsR≥ S) II. P > U - True (AsP > Q = R≥ S = U make P > U) Hence, both conclusion I and II follows.

1.

Directions: In these questions, relationship between different elements is shown in the statements. These Statements are followed by 2 Conclusions. Marks answer as option given.Statements:P > Q = R≥ S, V≥ T≤ U = SConclusions:I. R≥ SII. P > U1. Only conclusion I follows.2. Only conclusion II follows.3. Neither I nor II follows.4. Both conclusion I and II follows.5. Either conclusion I or II follows.

Answer» Correct Answer - Option 4 : Both conclusion I and II follows.

Given statements:P > Q = R≥ S, V≥ T≤ U = S

On combining:P > Q = R≥ S = U≥ T ≤ V

Conclusions:

I. R≥ S - True (AsR≥ S)

II. P > U - True (AsP > Q = R≥ S = U make P > U)

Hence, both conclusion I and II follows.

Discussion

2.	Directions: In the following question assuming the given statements to be true, find which of the conclusion(s) among given conclusions is/are definitely true and then give your answers accordingly.Statements:O ≥ Y > L = S; O = Q ≤ B < MConclusions:I. M > SII. L < Q1. Only I follows2. Only II follows3. Either I or II follow4. Neither I nor II follow5. Both I and II follow
Answer» Correct Answer - Option 5 : Both I and II follow Given statements, O ≥ Y > L = S; O = Q ≤ B < M On combining these we get M > B ≥ Q = O ≥ Y > L = S Conclusions: I. M > S → True (As we can see that M > B ≥ Q = O ≥ Y > L = S, so M > S is true) II. L < Q → True (As we can see that Q = O ≥ Y > L, so L < Q is true) Hence, both I and II follow.

2.

Directions: In the following question assuming the given statements to be true, find which of the conclusion(s) among given conclusions is/are definitely true and then give your answers accordingly.Statements:O ≥ Y > L = S; O = Q ≤ B < MConclusions:I. M > SII. L < Q1. Only I follows2. Only II follows3. Either I or II follow4. Neither I nor II follow5. Both I and II follow

Answer» Correct Answer - Option 5 : Both I and II follow

Given statements,

O ≥ Y > L = S; O = Q ≤ B < M

On combining these we get

M > B ≥ Q = O ≥ Y > L = S

Conclusions:

I. M > S → True (As we can see that M > B ≥ Q = O ≥ Y > L = S, so M > S is true)

II. L < Q → True (As we can see that Q = O ≥ Y > L, so L < Q is true)

Hence, both I and II follow.

Discussion

3.

ComprehensionDIRECTIONS: In the following questions choose the correct alternative if:(i) & means 'is greater than'(ii) % means 'is lesser than'(iii) > means 'is equal to'(iv) = means 'is not equal to'(v) @ means 'is a little more than'(vi) # means 'is a little less than'1. c & b2. b > a3. a % c4. Can't say

Answer» Correct Answer - Option 1 : c & b

According to the given information,

Symbol	&	%	>	=	@	#
Meaning	>	<	=	≠	>	<

Given:ac & bd and ab > cd

After decoding symbols:

ac >bd and ab =cd

ac >bd

\( {a \over d}\)>\({b\over c}\)......(1)

ab =cd

\( {a\over d}\)=\({c\over b}\) .......(2)

By equation (1) and (2)

\({c\over b}\)>\({b\over c}\)

c2 > b2

c > b

Hence, c & b is the correct answer.

Discussion

4.

ComprehensionDIRECTIONS: In the following questions choose the correct alternative if:(i) & means 'is greater than'(ii) % means 'is lesser than'(iii) > means 'is equal to'(iv) = means 'is not equal to'(v) @ means 'is a little more than'(vi) # means 'is a little less than'1. a % c2. c % a3. c > a4. Can't say

Answer» Correct Answer - Option 1 : a % c

According to the given information,

Symbol	&	%	>	=	@	#
Meaning	>	<	=	≠	>	<

Coded statement:a % b and b > c

Decoded statement: a < b and b = c

Combined statement: a < b = c

Thus, a < c is true.

Hence, a % c is correct.

Discussion

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