Practice Coded and Direct Inequalities Practice Questions with Detailed Solutions – Level 3

The statement below is followed by two conclusions. Decide which of the conclusions definitely follow(s) from the statement.

Statement: M ≥ N > P = Q ≤ R < S ≥ T

Conclusions:

I. M > Q

II. S > T

The statement below is followed by two conclusions. Decide which of the conclusions definitely follow(s) from the statement.

Statement: D ≥ E = F ≤ G < H ≥ J

Conclusions:

I. D > F

II. D = F

In the following question, 'P % Q' means 'P is not greater than Q', 'P & Q' means 'P is neither greater than nor smaller than Q', 'P $ Q' means 'P is not smaller than Q' and 'P @ Q' means 'P is neither smaller than nor equal to Q'.

Statements: J % K, K & L, L $ M, M @ N. Which of the conclusions definitely follow(s)?

Conclusions:

I. L @ N

II. J $ M

Which set of symbols, placed in the blanks from left to right, makes 'P > T' definitely true?

P __ Q __ R __ S __ T

In the following question, '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 equal to Q' and 'P * Q' means 'P is not smaller than Q'.

Statements: F * G, G & H, H $ I, I # J. Which of the conclusions definitely follow(s)?

Conclusions:

I. F $ H

II. F & H

In the following question, 'P @ Q' means 'P is not smaller than Q', 'P # Q' means 'P is neither smaller than nor equal to Q', 'P $ Q' means 'P is not greater than Q', 'P & Q' means 'P is neither greater than nor equal to Q' and 'P % Q' means 'P is neither greater than nor smaller than Q'.

Statements: R # S, S $ T, T % U, U & V. Which of the conclusions definitely follow(s)?

Conclusions:

I. R # V

II. S % U

In which of the following expressions are both 'K > N' and 'M ≥ L' definitely true?

In the following question, the symbols #, $, %, & and * are used with the meanings given below. Assuming the statements to be true, decide which of the conclusions definitely follows.

P # Q means P is not less than Q; P $ Q means P is not greater than Q; P % Q means P is equal to Q; P & Q means P is greater than Q; P * Q means P is less than Q.

Statements: R & S, S % T, T $ U, U * V

Conclusion I: V & T

Conclusion II: U # S

In the following question, the symbols ★, ◆, ▲, ● and ■ are used with the meanings given below. Assuming the statements to be true, decide which of the conclusions definitely follows.

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 nor greater than B; A ● B means A is not smaller than B; A ■ B means A is not greater than B.

Statements: T ■ U, U ▲ V, V ★ W, X ● W

Conclusion I: T ◆ W

Conclusion II: U ★ W

In the following question, assuming the given statements to be true, decide which of the given conclusions definitely follows.

Statements: A ≤ B < C, C = D ≥ E

Conclusion I: B ≥ E

Conclusion II: E > B