Reasoning Quiz (Inequalities) + Concept

Inequalities :

Let us take an example through which we can understand the questions step by step.

Suppose we have been given the statement as follows

Statement : A>B=C≥D>E≥F≤G<H

Conclusion :

(i) A > D

(ii) A ≥ D

In the above example, only option (i) will be true. The priority of > is higher than the priority of ≥. We hope that you remember the priority table for all the symbols. But if not, then follow the below table.

Highest Priority		Lowest Priority
>	≥	=
<	≤	=

From the above statement, between A and D, all the three symbols are present but the priority of > is highest, that's why the answer is option (i).

Let's take another question.

Statement : A>B=C≥D>E≥F≤G<H

Conclusion :

(i) A>G

(ii) A<G

In the above example there is no fix relation between A and D so we can not determine whether A is greater than D or A is smaller than D. Therefore this is the case of Neither (i) nor (ii) is true.

Statement : A>B=C≥D>E≥F≤G<H

Conclusion :

(i) A>G

(ii) A≤G

The above is the case of Either Or. There are three condition that should satisfy to qualify for Either Or case. The three conditions are :

(a) The subject and predicate should be same i.e. the either or will only qualify if the conclusion is between two subjects (A and G as per above example) only. 

(b) Both the individual statements should be false.

(c) Both the subject should have all the three possibility i.e. >, <, =.

There can be only three possibilities between two subjects i.e.

i. A>B

ii. A=B

iii. A<B

So, if you look at the above example, all the three condition satisfy that's why the case is Either Or.

This is all about the Inequalities. The maximum improvisation that can be done is that they can give the coded inequalities. In coded inequalities, you just write it in the normal form i.e. without any symbol and you are good to go. Below are the questions that we are providing you for the practice.

Directions(Q.16-20): In the following questions, the symbols @, #, %, $ and * are used with the following meaning as illustrated below.

‘A @ B’ means ‘A Is not smaller than B’

‘A # B’ means ‘A is neither smaller than nor equal to B’

‘A % B’ means ‘A is neither smaller than nor greater than B’

‘A $ B’ means ‘A is not greater than B’

‘A * B’ means ‘A is neither greater than nor equal to B’

Give answer 1) : If only conclusion 1 is true

Give answer 2) : If only conclusion 2 is true

Give answer 3) : If either conclusion 1 or 2 is true

Give answer 4) : If neither conclusion 1 nor 2 is true

Give answer 5) : If both conclusions 1 and 2 are true

1. Statements: M%N, N$O, O*P, K$L, L*M

Conclusion :

(i) P#K

(ii) N#K

2. Statements: C%D, E*F, A#B, D@E, B#C

Conclusion :

(i) A*F

(ii) D@F

3. Statements: C%D, E*F, A#B, D@E, B#C

Conclusion :

(i) A@F

(ii) A*F

4. Statements: X@Y, V$W, U*V, W*X, Y%Z

Conclusion :

(i) X#U

(ii)Z@U

5. Statements: M%N, N$O, O*P, K$L, L*M

Conclusion :

(i) N%K

(ii) P#K

6. Statements: C#D, A@B, D*E, B%C

Conclusion :

(i) A*E

(ii) A@E

7. Statements: I%J, G$H, H*I, H@K

Conclusion :

(i) I*J

(ii) G@K

8. Statements: U*V, Y#Z, X$Y, W%X, V*W

Conclusion :

(i) U#Z

(ii) V*Y

9. Statements: W%A, U*V, V*W, A#B, B@C

Conclusion :

(i) W#C

(ii) W%C

10. Statements: K#L, J#K,I#K, L*M, M*N

Conclusion :

(i) J@N

(ii) J*N

Answers
1. (5)
2. (4)
3. (3)
4. (1)
5. (2)
6. (3)
7. (4)
8. (2)
9. (1)

10. (3)