Inequalities

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.

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

Find Your Answers Here

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

Type II

Inequalities Practice Questions

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.

Q1: Statements: B @ V K © C, C © B

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

Find Your Answers Here

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

Find Your Answers Here

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

Share with friends

Customize your course in 30 seconds

Which class are you in?
5th
6th
7th
8th
9th
10th
11th
12th
Get ready for all-new Live Classes!
Now learn Live with India's best teachers. Join courses with the best schedule and enjoy fun and interactive classes.
tutor
tutor
Ashhar Firdausi
IIT Roorkee
Biology
tutor
tutor
Dr. Nazma Shaik
VTU
Chemistry
tutor
tutor
Gaurav Tiwari
APJAKTU
Physics
Get Started

Leave a Reply

avatar
  Subscribe  
Notify of

Stuck with a

Question Mark?

Have a doubt at 3 am? Our experts are available 24x7. Connect with a tutor instantly and get your concepts cleared in less than 3 steps.

Download the App

Watch lectures, practise questions and take tests on the go.

Customize your course in 30 seconds

Which class are you in?
No thanks.