# Reasoning Questions (Inequality) for IBPS Clerk Mains

Reasoning Questions (Inequality) for IBPS Clerk Mains:
Dear Readers, Important Practice Reasoning Questions for Upcoming IBPS Clerk V Mains Exam was given here with Explanations. Aspirants those who are preparing for the examination can use this.

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Directions (1-5): In the following questions, the symbols>,<, =,ย >ย andย <ย  are used with the following meanings:
ย
A> B means A is neither greater than nor smaller than B.
A< B means A is not smaller than B.
Aย >ย B means A is not greater than B.
Aย <ย B means A is neither smaller than nor equal to B.
A = B means A is neither greater than nor equal to B.
Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II given them is/are definitely true. Give answer
ย
1). if only conclusion I is true.
2). If only conclusion II is true.
3). If either conclusion I or II is true.
4). If neither conclusion I nor II is true.
5). If both conclusions I and II are true.
[Note:ย In each question coded symbols have been used.]
1).ย Statements:ย ย ย ย ย ย ย ย  P = E, Qย >ย P, V< Q
Conclusions:ย ย ย ย ย ย ย ย ย ย ย ย ย I.ย Eย <ย Pย ย ย ย ย II.ย E> P
2).ย Statements:ย ย ย ย ย ย ย ย  A> B, Bย >ย C, C< D
Conclusions:ย ย ย ย ย ย ย ย ย ย ย ย ย I.ย A> Cย ย ย ย II.ย A = C
3).ย Statements:ย ย ย ย ย ย ย ย  Mย <ย A,ย V> M,ย Sย >ย V
Conclusions:ย ย ย ย ย ย ย ย ย ย ย ย ย I.ย Aย <ย Sย ย ย ย II.ย Sย <ย A
4).ย Statements:ย ย ย ย ย ย ย ย  Pย <ย Q,ย ย Qย >ย R,ย R = S
Conclusions:ย ย ย ย ย ย ย ย ย ย ย ย ย I.ย Q = Pย ย ย II.ย Qย >ย P
5).ย Statements:ย ย ย ย ย ย ย ย  Oย <ย T,ย ย P< O,ย ย T> Y
Conclusions:ย ย ย ย ย ย ย ย ย ย ย ย ย I.ย Pย <ย Tย ย ย II.ย Y = P
ย
6).ย Which of the following expressions will be true if the expression Aย >ย B> C = Dย >ย E> F is definitely true?
a)ย ย ย ย Aย >ย D
b)ย ย ย ย Bย >ย D
c)ย ย ย ย F> A
d)ย ย ย ย C> F
e)ย ย ย ย Aย >ย E
7).ย Which of the symbols should be placed in the blank spaces from left to right respectively to complete the expression in such a manner that A> B, C> A and D> F are definitely true?
Dย <ย A _ X, D _ B, C = X, F _ B
a)ย ย ย ย <,>,<
b)ย ย ย ย >,>,<
c)ย ย ย ย =,<,>
d)ย ย ย ย =,<,<
e)ย ย ย ย >,=,<
8).ย Which of the following symbols should replace the question mark (?) in the given expression to make the expression J> N and Kย >ย N definitely true?
J ? Kย >ย L ? M ? N< O
a)ย ย ย ย <,>,=
b)ย ย ย ย >,>ย ,=
c)ย ย ย ย >,<,ย >
d)ย ย ย ย >,=,<
e)ย ย ย ย None of these
9).ย Which of the following symbols should be placed in the blank spaces respectively from left to complete the given expression in such a manner that the expression T>W is definitely false and the expressions Zย >ย T and Yย >ย V are definitely true?
Z _ Y _ Xย >ย W = V _ T
a)ย ย ย ย >,>,ย >,
b)ย ย ย ย <,<,<
c)ย ย ย ย >,>ย ,>
d)ย ย ย ย >,=,<
e)ย ย ย ย None of these
10).ย In which of the following expression is โP> Q โ is not definitely true?

a)ย ย ย ย Q>C<R

b)ย ย ย ย Q<R<

P

c)ย ย ย ย Q<

S

d)ย ย ย ย P>S=T>Q
e)ย ย ย ย None of these
1). a) 2). c) 3). d) 4). a) 5). e) 6). d) 7). a) 8). b) 9). a) 10). a)
ย
EXPLANATIONS:
ย
1.ย Here, P< Eโฆโฆ.(i)
Qย <ย Pโฆโฆโฆโฆโฆโฆ(ii)
Vย >ย Qโฆโฆโฆโฆโฆ…(iii)
From (i), we get E> P(conclusion I). Hence, conclusion I is true, but E = P(conclusion II) is not true.
ย
2.ย Here,
A = Bโฆโฆโฆโฆโฆ.(i)
Bย <ย Cโฆโฆโฆโฆโฆ(ii)
Cย >ย Dโฆโฆโฆโฆโฆ.(iii)
Combining (i) and (ii), we get
Aย <ย C โ A< C (Conclusion II) or
A = C (Conclusion I)
ย
3.ย Here M> Aโฆ…(i)
V = Mโฆโฆโฆโฆโฆ.(ii)
Sย <ย Vโฆโฆโฆโฆโฆ.(iii)
Combining (ii) and (iii), we get
Sย <ย V = M.
Using (i), we get neither of conclusions I and II is true.
ย
4.ย Here, P> Qโฆโฆโฆโฆ.(i)
Qย <ย Rโฆโฆโฆโฆโฆโฆโฆ….(ii)
R< Sโฆโฆโฆโฆโฆโฆโฆโฆ.(iii)
From (i) we get Q< P (conclusion I). Hence, only conclusion I is true. Obviously, conclusion II (Qย <ย P) is not true.
ย
5.ย Here, O>Tโฆโฆโฆโฆ.(i)
Pย >ย Oโฆโฆโฆโฆโฆโฆโฆ…(ii)
T = Yโฆโฆโฆโฆโฆโฆโฆ….(iii)
Combining (ii) and (iii), we get
Pย >ย O> T = Y
โ P> T and P> Y. Hence, both conclusions I (P> T) and II (Y< P) are true.
ย
6.ย Given expression,
Aย >ย B> C = Dย >ย E> F
Thus, A> D is true. But option a) (Aย >ย D) does not follow.
Again, B> D is true and A> F is true. Hence, option b) (Bย >ย D) and option c) (F> A) do not follow. But C> F is true. Hence, option d) follows.
A> E is true. Hence, option e) does not follow.
ย
7.ย Dย <ย A_ Xย ย ย ย ย ย ย ย ย ย ย ย ย ย ย  โฆ.(i)
D _ Bย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย  ….(ii)
C = Xย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย  .โฆ(iii)
F _ Bย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย  ….(iv)
Using option (a),
Dย <ย A< X, D> B, C = X, F< B
Combing all these, we have
F< B< Dย <ย A< = C
Clearly A> B, C> A and D> F are definitely true.
ย
8.ย Check options one by one.
From option a)ย we have,
J< Kย >ย L> M = N< O
We canโt compare J and N. Hence does not follow.
From option b)ย we have,
J> Kย >ย Lย >, M = N< O
Clearly J> N and Kย >ย N are definitely true. Hence follows.
From options c)ย we have,
J> Kย >ย Lย <ย Mย >ย N< O. We canโt compare J and N and K or N. Hence does not follow.
From option d)ย we have,
J> Kย >ย L = Mย <ย Nย <ย O
We canโt compare J and N or K and N. Hence does not follow.
ย
9.ย From option a)ย we have
Zย >ย Yย >ย Xย >ย W = Vย >ย T
Clearly Wย >ย T. Hence, T>W is definitely false.
Zย >ย T and Yย >ย V are definitely true.
ย
10.ย Option a)ย Q> Cย <ย R< P
Canโt compare
From option b)ย Q> Cย <ย R< Sย <ย P
P> Q is true. Does not follow.
From option c)ย Q< R< Pย <ย S.
P> Q is true. Does not follow.
From option d)ย P> S = Tย >ย Q.
P> Q is true. Does not follow.