Solve Inequality Questions with Shortcut trick

As many of you might know that I am providing useful study material and practice questions for SBI PO Preliminary exam.

Before solving these practice questions, read Inequality shortcut technique

Directions (Q. 1-5)  

In the following questions, the symbol §,☆,@,#  and $ are used with the following meaning as illustrated below.

‘P ☆Q’ means ‘P is not greater than Q’.

‘P $ Q’ means ‘P is not smaller than Q’.

‘P § Q’ means ‘P is neither smaller than nor greater than Q’.

‘P @ Q’ means ‘P is neither smaller than nor equals to Q’.

‘P # Q’ means ‘P is neither equal to nor greater than Q’.

     Now in each of the following questions assuming the given statements to be true, find which of the three conclusions, 1,2,3 given below them is/are definitely true and give your answer accordingly.

#1

Statements  N § B, B $ W,W # H, H ☆ M
Conclusions: 

I.        M @ W

II.     H @ N 

III.  W § N

IV.   W # N

1)   Only I is true

2)    Only III is true

3)    Only IV is true

4)    Only either III or IV is true

5)    Only either III or IV and I is true

#2

Statements  R ☆ D, D $ J, J # M, M @ K  

Conclusions:

I.                K # J

II.             D @ M

III.                       R # M

IV.                        D @ K

1)    None is true

2)    Only I is true

3)    Only II is true

4)    Only III is true

5)    Only IV is true

#3

Statements  H @ T, T # F, F § E, E ☆ V

Conclusions:

I.                             V $ F

II.                          E @ T

III.                       H @ V

IV.                                    T # V

1)    Only I, II and III are true

2)    Only I, II and IV are true

3)    Only II, III and IV are true

4)    Only I, III and IV are true

5)    All I, II, III and IV are true

#4

Statements  D @ R, R ☆ K, K @ F, F $ J

Conclusions:

I.                            J # R

II.                         J # K

III.                            R # F

IV.                             K @ D

1)    Only I, II and III are true

2)    Only II, III and IV are true

3)    Only I, III and IV are true

4)    All I, II, III and IV are true

5)    None of the above

#5

Statements  M $ K, K @ N, N ☆ R, R # W

Conclusions:

I.                   W @ K

II.                M $ R

III.             K @ W

IV.              M @ N

1)    Only I  and II are true

2)    Only I, II and III are true

3)    Only III and IV are true

4)    Only II, III and IV are true

5)    None of the above

Directions (Q. 6-11)

In the following questions, the symbol @,©,%,☆  and $ are used with the following meaning as illustrated below.

‘P © Q’ means ‘P is not greater than Q’.

‘P $ Q’ means ‘P is not smaller than Q’.

‘P @ Q’ means ‘P is neither smaller than nor greater than Q’.

‘P ☆ Q’ means ‘P is neither greater than nor equals to Q’.

‘P % Q’ means ‘P is neither equal to nor smaller than Q’.

     Now in each of the following questions assuming the given statements to be true, find which of the three conclusions, 1,2,3 given below them is/are definitely true and give your answer accordingly.

#6

Statement  : D @ M, M $ B, B ☆ R, R % T

Conclusion:

I.                  B ☆ D

II.               B @ D

III.                        T ☆ M

1)    None is true

2)    Only I is true

3)    Only II is true

4)    Only III is true

5)    Only either I or  II is true

#7

Statement  :  W © F, F @ D, D ☆ K, K $ J

Conclusions:  I. K % W

                         II. D $ W

                         III. F ☆  K

1)    Only I and II are true

2)    Only I and III are true

3)    Only II and III are true

4)    All I, II and III are true

None of the above

#8

Statements R * K,K © M,M % T,T $ J

Conclusions: :  I. J * M
                      II. R * M
                      III. K © J

1)     Only I is true

2)     Only II is true

3)     Only I and II are true

4)    All I, II and III are true

None of the above

#9

Statements R @ K, T © K,T $ M,M * W

Conclusions: :  I. W % K
                      II.M © R
                      III. T © R

1)     Only I is true

2)     Only II is true

3)     Only III is true

4)     All I,  II and III are true

5)     None of the above

#10

Statements  T $ N, N % B,B @ W,K © W

Conclusions: :  I. K $ B
                      II.K $ T
                      III. T % B

1)     Only I and II are true

2)     Only I and III are true

3)     Only  III is true

4)     All I,  II and III are true

       None of the above

#11

Statements  Z  % V, V * J,J © M,M @ R

Conclusions: :  I. R % V
                      II.M % V
                      III. Z % M

1)     Only I and II are true

2)     Only I and III are true

3)     Only II and III are true

4)     All I,  II and III are true

None of the above

Direction Q (12-16) In these questions relationships between different elements is shown in the statements. These statements are followed by two conclusions.

Give Answer

1)    If only conclusion I follows

2)     If only conclusion II follows

3)    If either conclusion I or conclusion II follows

4)    If neither conclusion I or conclusion II follows

5)    If both conclusion I and II follow

#12

 Statements N ≥ O ≥ P = Q > R

Conclusions

I.      N > R

II.   R = N 

#13

Statements W ≤ X < Y = Z >A;W<B

Conclusion

I.      B > Z

II.   W < A

#14

Statements : H > I > J > K ; L > M < K

Conclusions

I.      I > M

II.   L < H

#15

Statements : C < D < E ; D > F ≥ G

Conclusions

I.      C ≥ G

II.   F > E

#16

Statements :  R > S ≥ T ≥ U; V < T

Conclusions:

I.      V   ≥ U

II.   V < R

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