 # Inequalities Practice Questions

Inequalities Practice Questions section is here now. The following section on Inequalities Practice Questions is complete and fully exhaustive. It covers most of the interesting topics and will let you perfect your problem-solving skills. The following Inequalities Practice Questions section has been divided into various sections for convenience. Let us begin our practice.

Table of content

## Inequalities Practice Questions – Type I

Directions: In the following questions the symbols #, *, @. $and = are used with the following meanings: A # B means A is greater than B. A * B means A is greater than or equal to B. A @ B means A is equal to B. A$ B means A is lesser than B.

A = B means A is lesser than or equal to B.

Now in each of the following questions, assuming the three statements to be true, find which of the two conclusions I and II given below them is/are true. Give an answer.

A) if only conclusion I is true.

B) if only conclusion II is true

C) if either conclusion I or conclusion II is true

D) if neither conclusion I nor conclusion II is true

E) if both conclusions I and II are true.

Q1. Statements : P # Q, R $P, R * O Conclusions: I. Q # R II. Q$ R

Q2. Statements : P = Q, T @ R, R # P

Conclusions: I. T = Q II. Q *T

Q3. Statements : P @ Q, L @ M, P # L

Conclusions : I. Q # M II. M $P Q4. Statements : P # M # L, L# N @ Q, Q$ S @ R

Conclusions : I. R @ M II. L @ R

Q5. Statements : P * Q, [email protected] T, T * L

Conclusions : I. Q # L II. T # P

Q1: D), Q2: C), Q3: E), Q4: D), Q5: D)

## Type II Directions: In the following questions the symbols @, @, =, © and © are used with the following meaning:

• Here P @ Q means P is greater than Q.
• P @ Q means P is either greater than or equal to Q.
• P = Q means P is equal to Q.
• The P © Q means P is smaller than Q.
• P © Q means P is either smaller than or equal to Q.

Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true? Give answer

A) if only conclusion I is true,

B) if only conclusion II is true,

C) if either I or II is true,

D) if neither 1 nor II is true, and

E) if both I and II are true.

Conclusions: I. V @ C II. B @ K

Q2: Statements: K @ T, $= K,T © R Conclusions: I. S @ R II. T = R Q3: Statements: U = M, P @ U, M @ B Conclusions: I. P = B II. P @ B Q4: Statements : L @ N, J © P, P @ L Conclusions: I. J = L II. P = N Q5: Statements: H @ G, D @ E, H = E Conclusions: I. D @ H II. G © D ## Find Your Answers Here Q1: B), Q2: D), Q3: C), Q4: D), Q5: E) ## Type III Directions: In the questions given below, certain symbols are used with the following meaning: A @ B means A is greater than B. A + B means A is either greater than or equal to B. A # B means A is smaller than B A ® B means A is either smaller than or equal to B. A$ B means A is equal to B

Now in each of the following questions assuming the given statements to be true find which of the two conclusions I and II given below them is/are definitely true? Give answer

A) if only conclusion I is true,

B) if only conclusion II is true,

C) if either I or II is true,

D) if neither 1 nor II is true, and

E) if both I and II are true.

Q1: Statements : T $G, K @ P, M # T, P + M Conclusions: I. K @ T II. G$ P

Q2: Statements : R + N, S ® B, A @ , B $A Conclusions: I. S$ N II. A @ N

Q3: Statements : G $K, F @ J, K + Q, Q + F Conclusions: I. K$ F II. F # K

Q4: Statements : W @ S, K ® Z, U + W, S $K Conclusions: I. U @ K II. Z @ S Q5: Statements: G$ E, D # K, E # S, K × G

Conclusions: I. S @ D II. D# E

Q1: D), Q2: B), Q3: C), Q4: A), Q5: E)

## Type IV

Directions: In the following questions the symbol $, @, *, ** and # are used with the following meaning. A$ B means A is greater than B

A @ B means A is either greater than or equal to B

A * B means A is equal to B

A ** B means A is smaller than B

A # B means A is either smaller than or equal to B

Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely True ? Give answer

A) if only conclusion I is true,

B) if only conclusion II is true,

C) if either I or II is true,

D) if neither 1 nor II is true, and

E) if both I and II are true.

Q1: Statements: P @ Q, M # N, N**Q

Conclusions: I. P $M II. N # P Q2: Statements : D**X, F @ Y, D$ F

Conclusions : I. X @ Y II. Y # D

Q3: Statements : M**P, S $T, M @ T Conclusions : I. S * M II. T ** P Q4: Statements : U*V, X$ W, U**W

Conclusions : I. W $V II. U ** X Q5: Statements : G$ H, J # K, H * K

Conclusions : I. H \$ J II. J * H

Q1: A), Q2: D), Q3: B), Q4: E), Q5: C)

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