Coded Inequalities section 2 MCQ Practice Questions Answers Test with Solutions & More Shortcuts

Coded Inequalities PRACTICE TEST [3 - EXERCISES]

Coded Inequalities section 1 MCQ

Coded Inequalities section 2 MCQ

Coded Inequalities section 3 MCQ

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?

Question : 16

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

Shortcut »

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 : 17

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

Shortcut »

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 : 18

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

Shortcut »

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 : 19

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

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

Shortcut »

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

B © N ⇒ B > N

N @ R ⇒ N ≥ R

F * R ⇒ F ≤ R

Therefore, B > N ≥ R ≥ F

Conclusions

I. B © R ⇒ B > R : True

II. F * N ⇒ F ≤ N : Not True

III. R $ B ⇒ R < B: True

Directions:

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

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

Now in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly

Question : 20

Statements:
K @ F, F $ M, M δ T
Conclusions:
I.T % F
II.M % K
III.K $ T

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

Shortcut »

Answer: (d)

δ ⇒ ≥* ⇒ ≤% ⇒ <
$⇒ >@ ⇒ = 

K @ F ⇒ K = F

F $ M ⇒ F > M

M δ T ⇒ M ≥ T

Therefore, K = F > M ≥ T

Conclusions:

I. T % F ⇒ T < F : True

II. M % K ⇒ M < K : True

III. K $ T ⇒ K > T : True

IMPORTANT verbal reasoning EXERCISES

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