High Level Reasoning Coded Inequalities Puzzles Practice Room

Directions (1-5): In these questions, certain symbols have been used to indicate relationships between elements as follows:
A * B means A is either equal to or greater than B.
A $ B means A is equal to B.
A £ B means A is either equal to or smaller than B.
A & B means A is smaller than B.
A @ B means A is greater than B

In each question, three statements showing relationships have been given, which are followed by two conclusions I & II. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true.
Mark answer
A) if only conclusion I is true.
B) if only conclusion II is true.
C) if either conclusion I or II is true.
D) if neither I nor II is true.
E) if both conclusions I and II are true.

1. Statements: S * K, T & K, K * B
Conclusions: I. S $ B
                      II. S @ B

2. Statements: Y $ Z, H $ D, Z * D
Conclusions: I. D £ H
                      II. H £ Z

3. Statements: M @ N, P @ R, P & N
Conclusions: I. P £ M
                      II. R & N

4. Statements: T & K, K * B, S * K
Conclusions: I. B * T
                      II. S £ T

5. Statements: P @ R, M @ N, P & N
Conclusions: I. N @ R
                      II. P & M

Directions (6-10): Read carefully and answer the questions given below:
(i) Six students P, Q, R, S, T and U are in different branches of Engineering, viz. civil, mechanical, chemical, electrical, metallurgy and electronics but not necessarily in the same order.
(ii) Each of them is a resident of a different city viz Mumbai, Calcutta, Chennai, Delhi, Hyderabad and Bangalore. R is the resident of Delhi but he is not in chemical or electrical. T, who is in mechanical, is not the resident of Mumbai or Hyderabad. Q is from Calcutta and he is in electrical. The student from Chennai is in electronics and S is from Mumbai. P is in metallurgy.

6. Which of the following is not the correct combination of student and subject?
a) P-metallurgy
b) Q-electrical
c) U-electronics
d) S-civil
e) All are correct

7. Which student is from Chennai?
a) R
b) U
c) S
d) T
e) None of these

8. P is from which city?
a) Chennai
b) Calcutta
c) Hyderabad
d) Data inadequate
e) None of these

9. Which student is from Bangalore?
a) T
b) Q
c) S
d) T or P
e) None of these

10. R is studying which subject?
a) Electronics
b) Mechanical
c) Metallurgy
d) Data inadequate
e) None of these

  1. C
  2. B
  3. B
  4. D
  5. E
  6. D
  7. B
  8. C
  9. A
  10. E

Grab Daily Updates by Subscribing here. Enter your email address

Please check your INBOX for Confirmatin Link


  1. Please provide written explanations for Q-1 to Q-5 as explained in session 1 & session 2

    1. Sorry for delay reply here is explanation
      1. S ≥ K ≥ B
      S = B
      S > B

      2. Y = Z ≥ D = H
      D ≤ H
      H ≤ Z

      3. M > N > P > R
      P ≤ M
      R < N

      4. T < K ≥ B and T < K ≤ S
      B ≥ T
      S ≤ T

      5. M > N > P > R
      N > R
      P > M

    2. 5th got typing mistake at P < M

  2. Replies
    1. Hi Amit,
      Already explained in above comment
      M > N > P > R
      N > R
      P < M

  3. can you give all the rules for "either or" case in inequality

  4. how to solve inequality when does not equal sign is given