# Reasoning Questions (Inequality) for AAO and upcoming Exams 2016

Reasoning Questions (Inequality) for AAO and upcoming Exams 2016 Set-53:
Dear Readers, Important Practice Reasoning Questions for Upcoming AAO Exams was given here with Explanations. Aspirants those who are preparing for the examination can use this.

Directions (Q.1-5): In the following questions, the symbols =,>,>,< and< are used with the following meanings:

P< Q means P is neither smaller than nor equal to Q
P=Q means P is not smaller than Q
P>Q means P is neither greater nor smaller than Q
P> Q means P is neither greater than nor equal to Q
P
Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true.

1).Statements: P = R, Y> T, U> V
Conclusions: I.V> U                 II.Y = R
a)  if only conclusion I is true
b)  If only conclusion II is true
c)  If either conclusion I or II is true
d)  If either conclusion I nor II is true
e)  if both conclusions I and  II are true

2).Statements: P< D, D> Z, D< X
Conclusion: I.D> P                   II.P< Z
a)  if only conclusion I is true
b)  If only conclusion II is true
c)  If either conclusion I or II is true
d)  If either conclusion I nor II is true
e)  if both conclusions I and  II are true

3).Statements: L> M, N = O, N> A
Conclusions: N> M         II. O> M
a)  if only conclusion I is true
b)  If only conclusion II is true
c)  If either conclusion I or II is true
d)  If either conclusion I nor II is true
e)  if both conclusions I and  II are true

4).Statements: P> H, Z< J ,  H> J
Conclusions: I. J< P       II. Z< H
a)  if only conclusion I is true
b)  If only conclusion II is true
c)  If either conclusion I or II is true
d)  If either conclusion I nor II is true
e)  if both conclusions I and  II are true

5).Statements: A> B, P> L, L = S
Conclusions: I.B> L        II.L< B
a)  if only conclusion I is true
b)  If only conclusion II is true
c)  If either conclusion I or II is true
d)  If either conclusion I nor II is true
e)  if both conclusions I and  II are true

Directions (6-10): In the following questions, the symbols โก, !, #, \$ and @ are used with the following meanings as illustrated below

โRโกSโ means โR is not greater than Sโ
โR!S โ means โR is neither greater than nor equal to Sโ
โR#Sโ means โR is not smaller than Sโ
โR\$Sโ means โR is neither smaller nor greater than Sโ
โR@Sโ means R is neither smaller than nor equal to S
Now, in each of the following questions, assuming the given statements to be true, find out which of the two conclusions I and II given below them is /are definitely true.

6).Statements: P # S, S @ R, P โก N
Conclusions: I. N \$ R
II. P @ R
a)  If only conclusion I is true
b)  If only conclusion II is true
c)  If either conclusion I or II is true
d)  If neither conclusion I nor II is true
e)  If both conclusions I and II are true.

7).Statements: N \$ S, S @ R, R # Q, Q # T
Conclusions: I. N @ R
II. R # T
a)  If only conclusion I is true
b)  If only conclusion II is true
c)  If either conclusion I or II is true
d)  If neither conclusion I nor II is true
e)  If both conclusions I and II are true.

8).Statements: P ! S ,S # N, N @ R, P ! Q
Conclusions: I. Q @ S
II. S @ R
a)  If only conclusion I is true
b)  If only conclusion II is true
c)  If either conclusion I or II is true
d)  If neither conclusion I nor II is true
e)  If both conclusions I and II are true.

9).Statements: C \$ D, D @ E, D ! G, C # P, P @ N
Conclusions: I. D#P
II. C ! G
a)  If only conclusion I is true
b)  If only conclusion II is true
c)  If either conclusion I or II is true
d)  If neither conclusion I nor II is true
e)  If both conclusions I and II are true.

10).Statements: Z \$ R, R โก Q, Q # P, P ! K
Conclusions: I. Z # Q
II. P ! Z
a)  If only conclusion I is true
b)  If only conclusion II is true
c)  If either conclusion I or II is true
d)  If neither conclusion I nor II is true
e)  If both conclusions I and II are true.

1). d)  2). e)  3). d)  4). e)  5). c)  6). b)  7). e)  8). b)  9). e)  10). d)

EXPLANATIONS:

1.P> R __________(i)
Y< T_____________(ii)
U< V_____________(iii)
From (iii), conclusion I is not true. There is no information regarding the relation between Y and R. Hence II can not be concluded.

2.P> D_______________(i)
D = Z_________________(ii)
D> X_________________(iii)
From (i), D
P> D = Z => P> Z. Hence II is also true.

3.L> M________(i)
N> O _________(ii)
N< A__________(iii)
There is no information regarding the relation either between N and M or between O and M. Hence both conclusions I and II are not necessarily true.

4.P< H____________(i)
Z> J_____________(ii)
H< J______________(iii)
Combining (i) and (iii), we get
P< H< J โ J> P. Hence conclusion I is true.
Combining (ii) and (iii), we get
Z> J> H โ Z> H.
Hence conclusion II is also true.

5.A = B__________(i)
P< L___________(ii)
L> S___________(iii)
There is no specific relation between B and L but both conclusions I and II make a complementary pair. Hence either I or II will be true.

Questions (6-10):

โก โ< ! โ<, # โ>, \$ โ = and @ โ>

6.From the given statement, we get
P # S โ P> S_____________(i)
S @ R โ S> R____________(ii)
P โก N โ P< N_____________(iii)
Combining (i), (ii), (iii) we get
N> P> S> T
Thus N> R. Hence Conclusion I (N = R) does not follow.
Check for II. P> R. Hence conclusion II (P @ R) is true.

7.From the given statement, we get
N \$ S โ P = S______________(i)
S @ R โ S> R_____________(ii)
R # Q โ R> Q_____________(iii)
Q # T โ Q> T______________(iv)
Combining (i), (ii)  (iii) and (iv),we get
N = S> R> Q> T
Now, check for I. N>R is true. Hence, conclusion I (N @ R) follows. Again, R> T. Hence, conclusion II (R # T) is true. Thus, both conclusions I and II follow.

8.From the given statement, we get
P ! S โ P< S_________(i)
S # N โ S> N_________(ii)
N @ R> N> R_________(iii)
P ! Q โ P< Q__________(iv)
Combining (i), (ii), (iii) and (iv),we get
Q> P< S> N> R
Thus, we canโt compare Q and S. Hence, conclusion I (Q @ S) is not true.
Again, S> R. Hence, conclusion II (S @ R) is true.

9.From the given statement, we get
C \$ D โ C = D___________(i)
D @ E โ D> E___________(ii)
D ! G โ D< G_____________(iii)
C # P โ C> P_____________(iv)
P @ N โ P> N_____________(v)
Combining all these statements, we get
N< P< C = D> E and N< P< C = D> G
Thus, P< D or D> E and N< P< C = D> G
Thus, P< D or D> P is true. Hence, conclusion I (D # P) is true. Again, C< G is true. Hence conclusion II (C ! G) is true.