Coded Inequalities section 2 MCQ Detailed Explanation And More Example

MOST IMPORTANT verbal reasoning - 3 EXERCISES

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Directions:

In the following questions, the symbols δ, $, *, @ and © are used with the following meanings as illustrated below:

  • 'P $ Q' means 'P is neither equal to nor greater than Q'.
  • 'P © Q' means 'P is neither equal to nor smaller than Q'
  • 'P δ Q' means 'P is neither greater than nor smaller than Q.
  • 'P @ Q' means 'P is not smaller than Q'
  • 'P * Q' means 'P is not greater than Q'.

In each question three statements showing relationship have been given, which are followed by three conclusions I, II and III. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true?

The following question based on Coded Inequalities topic of verbal reasoning

Questions : Statements:
W δ K, K © F, F $ M
Conclusions:
I.M © K
II.W @ F
III.F @ W

(a) Only II is true

(b) Only III is true

(c) Only I is true

(d) Only II and III are true

e) None is true

The correct answers to the above question in:

Answer: (e)

(i) P $ Q ⇒ P < Q

(ii) P © Q ⇒ P > Q

(iii) P δ Q ⇒ P = Q

(iv) P @ Q ⇒ P ≥ Q

(v) P * Q ⇒ P ≤ Q

W δ K ⇒ W = K

K © F ⇒ K > F

F $ M ⇒ F < M

Therefore, W = K > F < M

Conclusions

I. M © K ⇒ M > K: Not True

II. W @ F ⇒ W ≥ F: Not True

III. F @ W ⇒ F ≥ W : Not True

Practice Coded Inequalities (Coded Inequalities section 2 MCQ) Online Quiz

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Read more question and answers set 2 Based Verbal Reasoning Questions and Answers

Question : 1

Statements:
D $ M, M * B, B δ J
Conclusions:
I.J © D
II.B @ D
III.J @ M

a) Only I and III are true

b) Only II and III are true

c) Only I and II are true

d) All I, II and III are true

e) None of these

Answer: (a)

(i) P $ Q ⇒ P < Q

(ii) P © Q ⇒ P > Q

(iii) P δ Q ⇒ P = Q

(iv) P @ Q ⇒ P ≥ Q

(v) P * Q ⇒ P ≤ Q

D $ M ⇒ D < M

M * B ⇒ M ≤ B

B δ J ⇒ B = J

Therefore, D < M ≤ B = J

Conclusions

I. J © D ⇒ J > D : True

II. B @ D ⇒ B ≥ D : Not True

III. J @ M ⇒ J ≥ M: True

Question : 2

Statements:
F * T, T $ N, N @ R
Conclusions:
I.R $ T
II.N © F
III.F $ R

a) Only I is true

b) Only II is true

c) None is true

d) Only III is true

e) Only II and III are true

Answer: (b)

(i) P $ Q ⇒ P < Q

(ii) P © Q ⇒ P > Q

(iii) P δ Q ⇒ P = Q

(iv) P @ Q ⇒ P ≥ Q

(v) P * Q ⇒ P ≤ Q

F * T ⇒ F ≤ T

T $ N ⇒ T < N

N @ R ⇒ N ≥ R

Therefore, F ≤ T < N ≥ R

Conclusions

I. R $ T ⇒ R < T : Not True

II. N © F ⇒ N > F: True

III. F $ R ⇒ F < R: Not True

Question : 3

Statements:
M @ D, D δ K, K © R
Conclusions:
I.R $ M
II.K δ M
III.K $ M

a) Only II is true

b) Only III is true

c) Only I is true

d) Only either II or III and I are true

e) Only either II or III is true

Answer: (d)

(i) P $ Q ⇒ P < Q

(ii) P © Q ⇒ P > Q

(iii) P δ Q ⇒ P = Q

(iv) P @ Q ⇒ P ≥ Q

(v) P * Q ⇒ P ≤ Q

M @ D ⇒ M ≥ D

D δ K ⇒ D = K

K © R ⇒ K > R

Therefore, M ≥ D = K > R

Conclusions

I. R $ M ⇒ R < M: True

II. K δ M ⇒ K = M: Not True

III. K $ M ⇒ K < M : Not True

K is either smaller than or equal to M.

Therefore, either II or III is true.

Question : 4

Statements:
F @ T, T d K, K * D
Conclusions:
I.D @ F
II.F @ K
III.D @ T

a) Only I and III are true

b) Only I and II are true

c) Only II and III are true

d) All I, II and III are true

e) None of these

Answer: (c)

(i) P $ Q ⇒ P < Q

(ii) P © Q ⇒ P > Q

(iii) P δ Q ⇒ P = Q

(iv) P @ Q ⇒ P ≥ Q

(v) P * Q ⇒ P ≤ Q

F @ T ⇒ F ≥ T

T δ K ⇒ T = K

K * D ⇒ K ≤ D

Therefore, F ≥ T = K ≤ D

Conclusions

I. D @ F ⇒ D ≥ F: Not True

II. F @ K ⇒ F ≥ K: True

III. D @ T ⇒ D ≥ T : True

Directions:

In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions.

Question : 5

Statement:
L ≤ M < N > O ≥ P
Conclusions:
I.O < M
II. P ≤ N

a) Only conclusion II follows.

b) Either conclusion I or II follows.

c) Only conclusion I follows.

d) Neither conclusion I nor II follows.

e) Both conclusion I and II follows.

Answer: (d)

Question : 6

Statement:
A > B, B ≥ C = D < E
Conclusions:
I.C < A
II. D ≤ B

a) Only conclusion II follows.

b) Either conclusion I or II follows.

c) Only conclusion I follows.

d) Neither conclusion I nor II follows.

e) Both conclusion I and II follows.

Answer: (e)

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