Inequalities – Logical Reasoning – MBA CUET PG – Notes & Practice Questions

Inequalities statement/expression consists of a group of elements along with the relationship among them, which may be given in coded form.

Before we start discussing on the steps to be followed for solving these questions let’s check the meaning of certain

symbols used in this topic.

• P>Q means P is greater than Q
• P<Q means P is less than Q
• P=Q means P is equal to Q
• P≥Q means P is either greater than or equal to Q
• P≤Q means P is either less than or equal to Q

Note: Among P, Q & R, if P> Q and P > R then we cannot assume the series as P > Q > R or P>R>Q because we don’t know the relation between R & Q.

‘Either – o’r Case

If there are two conclusions which follow these certain conditions then we mark them under ‘either-or case.

Rules:

1. Both conclusions should be False
2. Should have same Variable.
3. Symbols are complementary pairs.

Coded Inequalities:

Let’s look at some terms which are used in coded form.

1. Not greater than -Means ‘smaller than or equal to’
2. Not smaller than -Means ‘greater than or equal to’
3. Neither greater than nor equal to – Means ‘smaller than’
4. Neither smaller than nor equal to – Means ‘greater than’
5. Neither greater than nor smaller than – Means ‘equal to’

Practice Questions

1. A > B, B > C and C > D then which of the following conclusions is definitely wrong?

(a) A > D

(b) A > C

(c) D > A

(d) B > D

2. If A + D = B + C, A + E = C + D, 2C < A + E and 2A > B + D then

(a) A > B > C > D > E

(b) B > A > D > C > E

(c) D > B > C > A > E

(d) B > C > D > E > A

3. If A + B > C + D B + E = 2C and C + D > B + E it necessarily follows that

(a) A + B > 2E

(b) A + B > 2C

(c) A > C

(d) A + B > 2D

4. If A + B = 2C and C + D = 2A then

(a) A + C = B + D

(b) A + C = 2D

(c) A + D = B + C

(d) A + C = 2B

5. If A + D > C + E, C + D = 2B and B + E > C + D it necessarily follows that

(a) B + D > C + E

(b) A + B > 2D

(c) A + D > B + E

(d) A + D > B + C