__Mission IBPS PO 2016- Practice Reasoning Questions Set-11:__

**Directions (Q.1-5): In the following questions the symbols +,*,?,@ and $ are used with the following meanings:**

A
+ B means A is neither smaller nor greater than B.

A
× B means A is neither equal to nor smaller than B.

A
? B means A is neither greater than nor equal to B.

A
@ B means A is either greater than or equal to B.

A
$ B means A is not 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 below them is/are definitely true.

a)
If only conclusion I is true;

b)
If only conclusion II is true;

c)
If either I or II is true;

d)
If neither I nor II is true; and

e)
If both I and II are true.

**1). Statements :**S$T,T× U,S + U

**Conclusions :**I.T × S II. S ? U

**2). Statements:**P + Q, Q $ R,R ? P

**Conclusions**: I.R $ P II.Q+ R

**3).Statements :**U @ V,V × Q,Q $ P

**Conclusions:**I.U? Q II. U ? P

**4).Statements :**A × B,B@L,L + N

**Conclusions :**I.N + B II. A × L

**5).Statements :**H @ J, J ? K,K × M

**Conclusions :**I.H @ M II. M × J

**6).**Which of the following expressions is not necessarily true given the expression ‘E ≤ F = G> H ≥ I ’is definitely true?

a)
F
≥ E

b)
H < G

c)
E
≥ H

d)
G > I

e)
None of these

**7).**Which of the following should be placed in blank spaces respectively (in the same order from left to right) in order to complete the given expression in such a manner that makes the expression L < N definitely true--------- < ------- ≥ ----------- > ---------

a)
L,M,N,O

b)
N,M,O,L

c)
M,O,N,L

d)
L,O,N,M

e)
None of these

**8).**which of the following symbols should replace the question mark in the given expression in order to make the expressions ‘A > B’ and ‘C ≤ D’ definitely true?

A
> D =E? B ≥ C < F

a)
>

b)
<

c)
≤

d)
Either < or ≤

e)
=

**9).**In which of the following expressions will the expression ‘K > N ‘ can be true?

a)
K < L ≥ M=N

b)
K ≤ M ≤ N < L

c)
L = N > M ≥ K

d)
N > L ≥ M < K

e)
N < L ≤ M < K

**10).**If the expressions ‘A ≤ D > E > B’,’A > C ‘ and ‘B > F’ are true, which of the following conclusions will be definitely false?

a)
F < D

b)
D > C

c)
E < F

d)
B < E

e)
None of the above

**Answers:**

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

__Explanation:__**1).**S ! =T….(i), T> U …(ii),S= U….(iii) from (ii) and (iii),we get T > U = S. Hence T > S .Hence both I and II are true.

**Answer: e)**

**2).**P= Q….(i) Q is not equal to R….(ii),R < P…..(iii),conclusion I is true. II contradicts statement (ii),hence it is not true.

**Answer: a)**

**3).**U ≥ V…(i), V > Q….(ii), Q is not equal to P….(iii) from (i) and (ii),we get U ≥ V > Q. Hence, U > Q….(A) Hence I is not true. from (iii),two possible relationships between P and Q are;

Case
I : When P > Q

Now,
using(A),we get U>Q<P. Hence, no conclusion.

Case
II : When Q > P

Using
(A),we get U > Q > P. Hence,U>P.

Hence
II is not true.

**Answer: d)**

**4).**A > B….(i) B ≥ L….(ii), L = N…..(iii) from (ii) & (iii),we get B ≥ L =N Hence, B≥ N or N≤ B. Hence I may be true but not necessarily so. From (i) and (ii),we get A > F ≥ L. Hence,A > L Hence II is true.

**Answer: b)**

**5).**H ≥ J….(i),J < K….(ii),K > M…(iii)

From
(i) and (iii),we get J < K > M. Hence, no relationship between J and M
can be established. Hence II can’t be established.

Again,
combining all we can’t conclude the relationship between H and M.

Hence
I is not true.

**Answer: d)**

**6).**option 1 is true

Option
2 is true

Option
3 is false since relationship between P and S cannot be determined

Option
4 is also true

**Answer: c)**

**7).**Consider option 1:

L
< M ≥ N > O : relationship between L and N cannot be determined

Consider
option 2:

N
< M ≥ O >L :relationship between L and N cannot be determined

Consider
option 3:

M
< O ≥ N > L :since N > L,expression L < N is definitely true.

**Answer: c)**

**8).**consider expression,A > D =E = B ≥ C < F

Then
it can concluded that both the expression ‘A > B’ and ‘C ≤ D’ are definitely
true.

Hence,

**Answer: e)**

**9).**consider option 1 :Relationship between K and N cannot be determined

Consider
option 2 :’K > N’ is definitely false

Consider
option 3 :’K > N’ is definitely false

Consider
option 4 :Relationship between K and N cannot be determined

Consider
option 5 :’K > N’ is definitely true

Hence,

**Answer: e)**

**10).**Combining the given expressions,

‘C
< A ≤ D > E > B > F’

Considering
the above expression

Option
1 is true

Option
2 is true

Option
3 is false

Option
4 is true

**Answer: c)**

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