Coded Inequalities section 3 MCQ Practice Questions Answers Test with Solutions & More Shortcuts

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 : 1

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

a) Only II true

b) Only either I or II is true

c) Only I is true

d) Only III is true

e) None of these

Answer: (b)

δ ⇒ ≥* ⇒ ≤% ⇒ <
$⇒ >@ ⇒ = 

W δ F ⇒ W ≥ F

F % K ⇒ F < K

K $ M ⇒ K > M

Therefore, W ≥ F < K > M

Conclusions

I. M % F ⇒ M < F : Not True

II. M δ F ⇒ M ≥ F : Not True

III. W $ K ⇒ W > K : Not True

M may be smaller than or greater than or equal to F.

Question : 2

Statements:
N ∗ A, A % B, B δ D
Conclusions:
I.D % A
II.B $ N
III.N % D

a) Only I is true

b) Only II is true

c) None is true

d) Only III is true

e) Only I and II are true

Answer: (b)

δ ⇒ ≥* ⇒ ≤% ⇒ <
$⇒ >@ ⇒ = 

N ★ A ⇒ N ≤ A

A % B ⇒ A < B

B δ D ⇒ B ≥ D

Therefore, N ≤ A < B ≥ D

Conclusions

I. D % A ⇒ D < A : Not True

II. B $ N ⇒ B > N : True

III. N % D ⇒ N < D : Not True

Question : 3

Statements:
W $ B, B @ M, M ∗ R
Conclusions:
I.R $ B
II.R @ B
III.M % W

a) Only either I or II and III are true

b) Only III is true

c) Only either I or II is true

d) All I, II and III are true

e) None of these

Answer: (a)

δ ⇒ ≥* ⇒ ≤% ⇒ <
$⇒ >@ ⇒ = 

W $ B ⇒ W > B

B @ M ⇒ B = M

M ★ R ⇒ M ≤ R

Therefore, W > B = M ≤ R

Conclusions

I. R $ B ⇒ R > B : Not True

II. R @ B ⇒ R = B : Not True

R is either greater than or equal to B. Therefore, either I or II is true.

III. M % W ⇒ M < W : True

Question : 4

Statements:
M ∗ D, D $ K, K @ T
Conclusions:
I.T % D
II.K % M
III.M % T

a) Only II is true

b) Only III is true

c) Only I is true

d) Only I and III are true

e) None of these

Answer: (c)

δ ⇒ ≥* ⇒ ≤% ⇒ <
$⇒ >@ ⇒ = 

M ★ D ⇒ M ≤ D

D $ K ⇒ D > K

K @ T ⇒ K = T

Therefore, M ≤ D > K = T

Conclusions

I. T % D ⇒ T < D : True

II. K % M ⇒ K < M : Not True

III. M % T ⇒ M < T : Not True

Question : 5

Statements:
B % N, N δ F, F ∗ H
Conclusions:
I.H $ N
II.F % B
III.B % H

a) Only I and III are true

b) Only II and III are true

c) Only I and II are true

d) None of true

e) All I, II and III are true

Answer: (d)

δ ⇒ ≥* ⇒ ≤% ⇒ <
$⇒ >@ ⇒ = 

B % N ⇒ B < N

N δ F ⇒ N ≥ F

F ★ H ⇒ F ≤ H

Therefore, B < N ≥ F ≤ H

Conclusions

I. H $ N ⇒ H > N : Not True

II. F % B ⇒ F < B : Not True

III. B % H ⇒ B < H : Not True

IMPORTANT verbal reasoning EXERCISES

Coded Inequalities section 3 MCQ Online Quiz

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