Mathematical Operation For SBI PO Set – 4

 

1. Statements:

K ≤ L < M > N ≥ O; T > M ≤ P

Conclusions:

I. T > K

II. P > O

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 conclusion I and II are true 

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  e)If both conclusion I and II are true

Answer

K ≤ L < M > N ≥ O

I) T > K (i.e) K ≤ L < M < T

II) P > O (i.e) P ≥ M > N ≥ O

Both conclusion I and II are true 

2.Statements:

E > F ≥ G < H ≤ I < J

Conclusions:

G ≤ E

J ≥ F

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 conclusion I and II are true 

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 d)If neither conclusion I nor II is true

Answer

(d) E > F ≥ G < H ≤ I < J

I) G ≤ E

II) J ≥ F

If neither conclusions I nor II is true 

3. Statements:

B > C= D ≥ X; E ≤ X; Z ≥ D

Conclusions:

B > E

Z ≥ 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 neither conclusion I nor II is true

e) If both conclusion I and II are true 

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a) If only conclusion I is true

Answer

 

B > C = D ≥ X ≥ E

D ≥ Z ≥ X ≥ E

I) B > E

II) Z ≥ B (i.e) B > C = D ≤ Z

If only conclusion I is true 

4. If ‘÷’ means ‘x’, ‘x’ means ‘+’, ‘+’ means ‘-’ , ‘-’ means ‘÷’ then,

a)– 72

b)- 69

c)– 79

d)- 88 

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 b)- 69

Answer

 

Put the proper sign in the given equation we get

= -69 

5.Some equations have been solved on the basis of a certain pattern. Find the correct answer for the unsolved equation in the basic.

a)8436

b)2184

c)3180

d)2526 

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a)8436

Answer

 

In the given equations

5 x 3 x 2 = 1510

First number is multiplied with second number and gives 15 then First number is multiplied with Third number and gives 10

Similarly

12 x 7 = 84

12 x 3= 36

Therefore 12 x 7 x 3 =8436 

 

6) In the following questions, the symbols @, ©, $, % and # are used with the following meaning as illustrated below:

‘P$Q’ means ‘P is not greater than Q’

‘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 equal to Q’

‘P%Q’ means ‘P is neither smaller nor greater than Q’

Statements:

B%J, J@K, K©T, T©F

Conclusions:

I) F@K

II) B@K

III) B@F

a) I and II are true

b) I and III are true

c) II and III are true

d) All are true

e) None is true 

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a) I and II are true

Answer

According to the question,

B%J B=J              (I)

J@K J>K              (II)

K©T K<T             (III

T$F TF              (IV)

On combining the statements (I), (II), (III) and(IV) we get

B=J>K<TF

Conclusions:

  1. I) F@K F>K (true)
  2. II) B@K B>K (true)

III) B@F B>F (false)

So, it is clear that both Conclusions I and II are true   

7) In the following questions, the symbols @, ©, $, % and # are used with the following meaning as illustrated below:

‘P$Q’ means ‘P is not greater than Q’

‘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 equal to Q’

‘P%Q’ means ‘P is neither smaller nor greater than Q’

Statements:

H$M, M#T, T@D, D©R

Conclusions:

I) D©M

II) R@M

III) H$T

a) None is true

b) Only I is true

c) Only II is true

d) Only III is true

e) All I, II, III are true 

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b) Only I is true

 

Answer

H$M HM               (I)

M#T MT                (II)

T@D T>D               (III)

D©R D<R               (IV)

On combining the statements (I), (II), (III) and (IV) we get

HMT>D<R

Conclusions:

  1. I) D©M D<M (true)
  2. II) R@M R>M (false)

III) H$T HT (false)

So, it clear that only Conclusion I is true. 

8) In the following questions, the symbols @, ©, $, % and # are used with the following meaning as illustrated below:

‘P$Q’ means ‘P is not greater than Q’

‘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 equal to Q’

‘P%Q’ means ‘P is neither smaller nor greater than Q’

Statements:

W©B, B%V, V$R, R@K

Conclusions:

I) K©B

II) R#B

III) V@W

a) I and II are true

b)  I and III are true

c) II and III are true

d) All I, II and III are true

e) None is true 

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c) II and III are true

Answer

According to the question

On combining the statements (I), (II), (III) and (IV) we get

W<B=VR>K

Conclusions:

I) K©B K<B (false)

II) R#B RB (true)

III) V@W V>W (true)

So it clear that both Conclusions II and III are true 

 

 

9)  In the following questions, the symbols @, ©, $, % and # are used with the following meaning as illustrated below:

‘P$Q’ means ‘P is not greater than Q’

‘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 equal to Q’

‘P%Q’ means ‘P is neither smaller nor greater than Q’

Statements:

R@N, N©D, D$J, J#B

Conclusions:

I) R@J

II) J@N

III) B@D

a) None is true

b) Only I is true

c) Only II is true

d) Only II and III are true 

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c) Only II is true

Answer

 

According to the question

On combining the statements (I), (II), (III) and (IV) we get

R>N<DJB

Conclusions:

I) R@J R>J(false)

II) J@N J>N (true)

III) B@D B>D (false)

So, it is clear that only Conclusion II is true  

10) In the following questions, the symbols @, ©, $, % and # are used with the following meaning as illustrated below:

‘P$Q’ means ‘P is not greater than Q’

‘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 equal to Q’

‘P%Q’ means ‘P is neither smaller nor greater than Q’

Statements:

D#K, K@T, T$M, M%J

Conclusions:

I) J@T

II) J%T

III) D@T

a) Only I is true

b) Only II is true

c) Either I or II is true

d) Either I or II and III are true

e) None is true 

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 d) Either I or II and III are true

Answer

 

On combining the statements (I), (II), (III) and (IV), we get

DK>TM=J

Conclusions:

I) J@T J>T

II) J%T J=T (Either I or II is true)

III) D@T D>T (true)

So it is clear that either Conclusions I or II and III are true.