Coded Inequalities Section 1 MCQ Practice Questions Answers Test With Solutions & More Shortcuts

Directions:

In the following questions, the symbols @, #, %, $ and © are used with the following meaning as illustrated below:

  • 'P # Q' means 'P is neither greater than nor equal to Q'.
  • 'P © Q' means 'P is neither equal to nor smaller than Q'
  • 'P % Q' means 'P is neither smaller than nor greater than Q.
  • 'P $ Q' means 'P is not smaller than Q'
  • 'P @ Q' means 'P is not greater 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 : 6

Statements:
R @ D, D © W, B $ W
Conclusions:
I. W # R
II. B © D
III. W $ R

a) Only I is true

b) Only III is true

c) None is true

d) Only either I or III is true

e) All are true

Answer: (d)

R ≤ D ...(i); D > W ...(ii); B ≥ W ...(iii)

None of the inequations can be combined.

However, either I (W < R) or III (W ≥ R) must be true.

Question : 7

Statements:
H $ V, V % M, K © M
Conclusions:
I. K © V
II. M @ H
III. H © K

a) Only II and III are true

b) Only I and II are true

c) Only I and III are true

d) All are true

e) None of these

Answer: (b)

H ≥ V ...(i); V = M ...(ii); K > M ...(iii)

Combining these, we get H ≥ V = M < K

Hence K > V and I follows.

Also, M ≤ H and II follows.

But H and K can't be compared. Hence III does not follow.

Question : 8

Statements:
Z # F, R @ F, D © R
Conclusions:
I. Z # R
II. F # D
III. D @ Z

a) Only I is true

b) Only III is true

c) None is true

d) Only either I or III is true

e) All are true

Answer: (c)

Z < F ...(i); R ≤ F ...(ii); D > R ...(iii)

Clearly, the inequations can't be combined.

Question : 9

Statements:
M © R, R % D, D @ N
Conclusions:
I. M © N
II. N $ R
III. M © D

a) Only II and III are true

b) Only I and III are true

c) Only I and II are true

d) All are true

e) None of these

Answer: (a)

M > R ...(i); R = D ...(ii); D ≤ N ...(iii)

Combining these, we get M > R = D ≤ N

I does not follow as M and N can't be related.

N ≥ R and II follows.

M > D and III follows.

Question : 10

Statements:
K # T, T $ B, B @ F
Conclusions:
I. F $ T
II. K # B
III. T $ F

a) Only I is true

b) Only I and II are true

c) None is true

d) Only II and III are true

e) All are true

Answer: (c)

K < T ...(i); T ≥ B ...(ii); B ≤ F ...(iii)

Clearly, the inequations can't be combined.

IMPORTANT VERBAL REASONING EXERCISES

Coded Inequalities Section 1 MCQ Online Quiz

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