Practice Coded inequalities - verbal reasoning Online Quiz (set-1) For All Competitive Exams

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

Q-1)   Statements:
W δ F, F % K, K $ M
Conclusions:
I.M % F
II.M δ F
III.W $ K

(a)

(b)

(c)

(d)

(e)

Explanation:

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.

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.

Q-2)   Statements:
R @ D, D © W, B $ W
Conclusions:
I. W # R
II. B © D
III. W $ R

(a)

(b)

(c)

(d)

(e)

Explanation:

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.

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.

Q-3)   Statements:
Z # F, R @ F, D © R
Conclusions:
I. Z # R
II. F # D
III. D @ Z

(a)

(b)

(c)

(d)

(e)

Explanation:

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

Clearly, the inequations can't be combined.

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.

Q-4)   Statements:
K # T, T $ B, B @ F
Conclusions:
I. F $ T
II. K # B
III. T $ F

(a)

(b)

(c)

(d)

(e)

Explanation:

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

Clearly, the inequations can't be combined.

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.

Q-5)   Statements:
R @ D, D © W, B $ W
Conclusions:
I.W # R
II.B © D
III.W $ R

(a)

(b)

(c)

(d)

(e)

Explanation:

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.

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?

Q-6)   Statements:
M @ D, D δ K, K © R
Conclusions:
I.R $ M
II.K δ M
III.K $ M

(a)

(b)

(c)

(d)

(e)

Explanation:

(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.

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

Q-7)   Statements:
M ∗ D, D $ K, K @ T
Conclusions:
I.T % D
II.K % M
III.M % T

(a)

(b)

(c)

(d)

(e)

Explanation:

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

Directions:

In the following questions, the symbols @, $, %, # and © are used with the following meanings illustrated-

  1. 'X @ Y' means 'X is not smaller than Y'.
  2. 'X $ Y' means 'X is not greater than Y'.
  3. 'X % Y' means 'X is neither smaller than nor equal to Y'.
  4. 'X # Y' means 'X is neither greater than nor equal to Y'.
  5. 'X © Y' means 'X is neither smaller than nor greater than Y'.

In each of the following questions assuming the given statements to be true, find out which of the two conclusions I and II given below them is/are definitely true.

Q-8)   Statements :
J # K, K©L, P $ L
Conclusions:
I. P $ K
II.J # L

(a)

(b)

(c)

(d)

(e)

Explanation:

> --- %

≥ --- @

= --- ©

< --- #

≤ --- $

J < K = L ≥ P,

I. P ≤ K,

II. J < L

Directions:

In the following questions, the symbols @, $, %, # and © are used with the following meanings illustrated-

  1. 'X @ Y' means 'X is not smaller than Y'.
  2. 'X $ Y' means 'X is not greater than Y'.
  3. 'X % Y' means 'X is neither smaller than nor equal to Y'.
  4. 'X # Y' means 'X is neither greater than nor equal to Y'.
  5. 'X © Y' means 'X is neither smaller than nor greater than Y'.

In each of the following questions assuming the given statements to be true, find out which of the two conclusions I and II given below them is/are definitely true.

Q-9)   Statements :
A @ B, B % D, D © K
Conclusions:
I. A © K
II.B % K

(a)

(b)

(c)

(d)

(e)

Explanation:

> --- %

≥ --- @

= --- ©

< --- #

≤ --- $

A ≥ B > D = K,

I. A ≥ K,

II. B > K

Directions:

In the following questions, the symbols @, $, %, # and © are used with the following meanings illustrated-

  1. 'X @ Y' means 'X is not smaller than Y'.
  2. 'X $ Y' means 'X is not greater than Y'.
  3. 'X % Y' means 'X is neither smaller than nor equal to Y'.
  4. 'X # Y' means 'X is neither greater than nor equal to Y'.
  5. 'X © Y' means 'X is neither smaller than nor greater than Y'.

In each of the following questions assuming the given statements to be true, find out which of the two conclusions I and II given below them is/are definitely true.

Q-10)   Statements :
K @ T, T # C, U $ P
Conclusions:
I. C © K
II.C % K

(a)

(b)

(c)

(d)

(e)

Explanation:

> --- %

≥ --- @

= --- ©

< --- #

≤ --- $

K ≥ T < C, U ≥ P,

I. C = K,

II. C > K

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

Q-11)   Statements:
K @ F, F $ M, M δ T
Conclusions:
I.T % F
II.M % K
III.K $ T

(a)

(b)

(c)

(d)

(e)

Explanation:

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

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

Q-12)   Statements:
B % N, N δ F, F ∗ H
Conclusions:
I.H $ N
II.F % B
III.B % H

(a)

(b)

(c)

(d)

(e)

Explanation:

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

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.

Q-13)   Statements:
H $ V, V % M, K © M
Conclusions:
I. K © V
II. M @ H
III. H © K

(a)

(b)

(c)

(d)

(e)

Explanation:

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.

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.

Q-14)   Statements:
M © R, R % D, D @ N
Conclusions:
I. M © N
II. N $ R
III. M © D

(a)

(b)

(c)

(d)

(e)

Explanation:

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.

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.

Q-15)   Statements:
H $ V, V % M, K © M
Conclusions:
I.K © V
II. M @ H
III.H © K

(a)

(b)

(c)

(d)

(e)

Explanation:

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.

Directions:

In each of the following questions assuming the given statements to be true, find out which of the following two conclusions definitely follow.

Q-16)   Statements:
Y ≥ W = N;
N ≥ M
Conclusions:
I. Y > M
II. Y = M

(a)

(b)

(c)

(d)

(e)

Explanation:

Y ≥ W = N; N ≥ M

I. Y > M

II. Y = M

So either conclusion I or II is follow

Directions:

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

Q-17)   Statement:
A > B > C, D > E > F, D > C
Conclusions:
I. E > C
II. F > B

(a)

(b)

(c)

(d)

(e)

Explanation:

Statement: A > B > C, D > E > F, D > C

Therefore, A > B > C < D > E > F

Conclusions:

I. E > C (false)

II. F > B (false)

Directions:

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

Q-18)   Statements:
Q = Z, C ≥ G, G ≥ Q, Q ≥ R
Conclusions:
I. G ≥ Z
II. C ≥ R

(a)

(b)

(c)

(d)

(e)

Explanation:

Statements: Q = Z, C ≥ G, G ≥ Q, Q ≥ R

Therefore, Q=Z, C ≥ G ≥ Q ≥ R

Conclusions:

I. G ≥ Z (true)

II. C ≥ R (true)

Directions:

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

Q-19)   Statement:
K < L, K > M, M ≥ N, N > O
Conclusions:
I. O < M
II. O < K

(a)

(b)

(c)

(d)

(e)

Explanation:

Statement: K < L, K > M, M ≥ N, N > O

Therefore, K < L > M ≥ N > O

Conclusions:

I. O < M (true)

II. O < K (true)

Directions:

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

Q-20)   Statement:
N = P, P < F, F > L, L = K
Conclusions:
I. F = K
II. F > K

(a)

(b)

(c)

(d)

(e)

Explanation:

Statement: N = P, P < F, F > L, L = K

Therefore, N = P < F > L = K

Conclusions:

I. F = K (false)

II. F > K (true)