Reasoning Quiz on Inequality

Dear readers, here we are providing you a quiz on Inequality. Hope you like the post.

Directions�(1-�5) In the following questions, the symbols @, $, %, # and � are used with the following meanings illustrated�

�A @ B� means �A is not smaller than B�.

�A $ B� means �A is not greater than B�.

�A % B� means �A is neither smaller than nor equal to B�.

�A # B� means �A is neither greater than nor equal to B�.

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

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. Give answer�

1] If only conclusion I is true.

2] If only conclusion II is true.

3] If either conclusion I or conclusion II is true.

4] If neither conclusion I nor conclusion II is true.

5] If both conclusions I and II are true.

1.    Statements: A @ B, B # C, C $ D

Conclusions: I. D % A    II. C % A

2.    Statements: M $ N, N @ P,  P % Q

Conclusions: I. P � M     II. Q # N

                 

3.    Statements: E % F, F # G,  G @ H

Conclusions: I. H # F      II. E % G

4.    Statements: J � K,  K $ L,  L % M

Conclusions: I. L � J      II. L % J

                 

5.    Statements: W # X,  X % Y, Y � Z

Conclusions: I. Z # X      II. Y # W         

Directions (6-10): Read each of the following statements carefully and answer the questions.

6.    Which of the following expressions will be true if the given expression ' A> B � C <D < E' is definitely true?

(1) A � C                       

(2) E > C

(3) D � B                       

(4) A > D           

(5) None of these

7.    If the expressions 'E < J � H > Z', 'H � Y' and 'E > F' are true, which of the following conclusions will be definitely false?

(1) F < Y                       

(2) Y > E

(3) F < H                       

(4) J � Y            

(5) All are true

8.    Which of the following symbols should replace the question mark in the given expression in order to make the expressions 'K �H' and 'M > J' definitely true?

H > I = J ? K �L < M

(1) >   or =                

(2)  �

(3) =                  

(4) Either < or �            

(5) None of these

9.    In which of the following expressions will the expression �P > S� be definitely false?

(1) P > Q � R = S                     

(2) S � R � Q < P

(3) R = P > Q � S                     

(4) S > Q � R < P

(5) S < Q � R < P

10.  Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) in order to complete the given expression in such a manner that �N < K� definitely holds true?

K � L � M - N

(1) �, =, >                      

(2) �, <, =

(3) <

(4) >, <              

(5) None of these

Solutions  (1-5)

1. (4)

2. (2 ) 

3. (4)   

4.  (3) J = K� �= L

Either L = J or L > J

               

5.  (1)  

Ans (6-10)

6. (2)

7. (5)   

F < E < J = H = Y, H > Z

1, F < Y is true

2. Y > E is true

3. F < H is true                       

4. J � Y is true

8.  (5)

9.  (4)

10.  (1)