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All questions of Coded Inequality for SSC CGL Exam

Directions:  In these questions, the relationship between different elements is shown in different statements. The statements are followed by two conclusions. Choose the correct answer given below:
Statements: 
M ≤ N; M > P ≥ O = H ≤ L ≤ Z
Conclusions:  I. L  ≥ M  II. O ≤ Z
  • a)
    Only conclusion I is true
  • b)
    Only conclusion II is true
  • c)
    Both conclusion I and II is true
  • d)
    Either conclusion I or II is true
Correct answer is option 'B'. Can you explain this answer?

Pranab Goyal answered
Understanding the Statements
To analyze the relationship from the given statements, let's break it down:
- M ≤ N
- M > P ≥ O = H ≤ L ≤ Z
This shows the following relationships:
1. M is less than or equal to N.
2. M is greater than P, which is greater than or equal to O.
3. O is equal to H, and both are less than or equal to L.
4. L is less than or equal to Z.
Evaluating the Conclusions
Let's examine the conclusions one by one:
Conclusion I: L ≥ M
- From the statements, we know M ≤ N and M > P ≥ O = H ≤ L.
- This means L is greater than or equal to O (which is equal to H), and since M is greater than P and P is at least equal to O, we do not have a direct relationship that proves L is definitely greater than or equal to M.
- Therefore, Conclusion I is not necessarily true.
Conclusion II: O ≤ Z
- From the relationships, we see that O = H and L ≤ Z.
- Since L is greater than or equal to O, and L is also less than or equal to Z, it follows that O (which is equal to H) must indeed be less than or equal to Z.
- Therefore, Conclusion II is true.
Final Assessment
- Based on the analysis, only Conclusion II is true.
- Thus, the correct answer is option B: Only conclusion II is true.

If the expression, ‘M > R > Q, Q > N = J and J ≤ B < H are true then which of the following combinations will be possibly false?
  • a)
    M > J
  • b)
    N < H
  • c)
    J < M
  • d)
    Q > B
Correct answer is option 'D'. Can you explain this answer?

Pranab Goyal answered
Understanding the Relationships
The given inequalities are:
1. M > R > Q
2. Q > N = J
3. J ≤ B < />
From these statements, we can derive the following relationships:
- M is greater than R, which is greater than Q.
- Q is greater than both N and J (since N = J).
- J is less than or equal to B, and B is less than H.
Analyzing Each Option
Now, let’s evaluate each option to determine which combination could possibly be false.
a) M > J
- Since M > R > Q and Q > N = J, we can deduce that M > J holds true.
b) N < />
- We have N = J and J ≤ B < h,="" which="" means="" n="" (or="" j)="" is="" definitely="" less="" than="" h.="" this="" option="" is="" />
c) J < />
- Since M > R > Q and Q > J, it follows that M > J. Thus, this statement is also true.
d) Q > B
- Here, we have Q > N (equal to J) and J ≤ B. This means Q is not necessarily greater than B, as Q could be equal to B. Therefore, this statement can potentially be false.
Conclusion
The only option that can be possibly false is option 'D' (Q > B). This is because the relationship does not guarantee that Q is greater than B; it could be equal. Thus, option 'D' is the correct answer.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statement:  
A = C > B ≥ F < G ≤ H ≤ K
Conclusions:  I. A < G  II. B ≥ H
  • a)
    Only conclusion I follows
  • b)
    Only conclusion II follows
  • c)
    Either conclusion I or II follows
  • d)
    Neither conclusion I nor II follows
Correct answer is option 'D'. Can you explain this answer?

Checking C1:  A < G
We can clearly see that the signs between A and G get reversed therefore the relation between A and G cannot be formed.
Therefore, C1 does not follow.
Checking C2: B ≥ H
We can clearly see that the signs between B and H get reversed therefore the relation between B and H cannot be formed.
Therefore, C2 does not follow.
Hence, Option D is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statements: 
N ≤ K < J; J > L > G; M < L < N
Conclusions: I. K > L  II. G > M
  • a)
    Only conclusion I follows
  • b)
    Only conclusion II follows
  • c)
    Either conclusion I or conclusion II follows
  • d)
    Both conclusions follow
Correct answer is option 'A'. Can you explain this answer?

By combining all the statements we get:
M < L < N ≤ K < J; J > L > G
Checking C1: K > L
Here, M < L < N ≤ K < J, so K > L.
Therefore, C1 follows.
Checking C2: G > M
Here, M < L > G, so no relation is possible because of opposite sign between them.
Therefore, C2 doesn’t follow.
Hence, Option A is correct.

 Directions: In these questions, relationship between different elements is shown in the statement. The statements are followed by two conclusions. Choose the correct answer on the basis of information given below.
Statements:    
A ≥ N < T, U ≥ S > D, H = T ≥ V, V = D
Conclusions:   I. S < T             II. U ≥ V
  • a)
    If only conclusion I is true.
  • b)
    If only conclusion II is true.
  • c)
    If either conclusion I or II is true.
  • d)
    If neither conclusion I nor II is true.
Correct answer is option 'D'. Can you explain this answer?

Aim It Academy answered
Given statements:
A ≥ N < T         ….(i)
U ≥ S > D         ….(ii)
H= T ≥ V          ….(iii)
V = D               ….(iv)
Combining (i), (ii), (iii) and (iv), we get
A ≥ N < T = H ≥ V = D < S ≤ U  ….(v)
Check for conclusion I: 
From (v), we can’t compare S and T.
Thus, S < T is not true.
Check for conclusion II: 
From (V), V < U or U > V is true. But U ≥ V is not true.
Hence, option D is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statements: 
N > Y > A; P = M < N; T > N
Conclusions: I. M < Y  II. P ≥ Y
  • a)
    Only conclusion I follows
  • b)
    Only conclusion II follows
  • c)
    Either conclusion I or conclusion II follows
  • d)
    Both conclusions follow
Correct answer is option 'C'. Can you explain this answer?

By combining all the statements we get:
P = M < N > Y > A; T > N
Checking C1: M < Y
Here, P = M < N > Y, so, no relation is possible because of opposite sign between them.
Therefore, C1 doesn’t follow.
Checking C2: P ≥ Y
Here, P = M < N > Y, so, no relation is possible because of opposite sign between them.
Therefore, C2 doesn’t follow.
But evaluating the options, in both the conclusions elements can be made same as "P = M" and also all the signs "<, >, =" can be found between them(P/M and Y). Hence, it is complementary pair.
So, either I or II can be true.
Hence, Option C is correct.

Which of the following symbol(s) should be placed in the place of the question mark in the following expression to make W ≥ E true?
X ≥ E > K; O < X ? I ≤ W
  • a)
    >
  • b)
  • c)
    <
  • d)
Correct answer is option 'B'. Can you explain this answer?

By combining all the statements we get:
K < E ≤ X ? I ≤ W
Check options one by one
Checking Option A:
K < E ≤ X > I ≤ W; it doesn’t satisfy the given condition.
Checking Option B:
K < E ≤ X ≤ I ≤ W; it satisfies the given condition.
Checking Option C:
K < E ≤ X < I ≤ W; it doesn’t satisfy the given condition.
Checking Option D:
K < E ≤ X ≥ I ≤ W; it doesn’t satisfy the given condition.
Hence, Option B is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statement: 
M = N > P ≥ T; L > S ≥ M = A < B
Conclusions: I. T ≤ M  II. L < M  III. S < B
  • a)
    Only conclusion I is true
  • b)
    Only conclusion II is true
  • c)
    Only conclusion III is true
  • d)
    None is true
Correct answer is option 'D'. Can you explain this answer?

Combining statements: M = N > P ≥ T; L > S ≥ M = A < B
Checking C1: T ≤ M
Here, M = N > P ≥ T.
So, T < M is definite true.
Therefore, T ≤ M is not true.
Checking C2: L < M
Here, L > S ≥ M.
So, L > M is definite true.
Therefore, L < M is not true.
Checking C3: S < B
Here, S ≥ M = A < B
We can clearly see that the signs between S and B get reversed therefore the relation between S and B cannot be formed.
Therefore, S < B is not true.
Hence, Option D is correct.

Direction: Which of the following set of letters when filled in the blanks from left to right will make “Q > W” definitely true?
__ ≤   __ < __ >   __<
  • a)
    W, L, M, E, Q
  • b)
    E, W, L, Q, N
  • c)
    H, D, Q, M, W
  • d)
    None of the above
Correct answer is option 'D'. Can you explain this answer?

Let us check each of the options one by one.
__ ≤   __ < __ >   __<

Option A: Here, W ≤ L < M > E < Q
So, Q > W is not true.
Thus option A does not follow.
Option B: Here, E ≤ W < L > Q < N
So, Q > W is not true.
Thus option B does not follow.
Option C: Here, H ≤ D < Q > M < W
So, Q > W is not true.
Thus, option C does not follow.
Hence, Option D is correct.

Which of the following symbol(s) should be placed in place of the question mark in the following expression in order to make 85 < 96 and 68 ≥ 75 definitely true?
75 = 66 ≤ 85 __ 68 < 99 < 96
  • a)
    <
  • b)
  • c)
    >
  • d)
Correct answer is option 'B'. Can you explain this answer?

Aim It Academy answered
Check options one by one
Checking Option A: 75 = 66 ≤ 85 < 68 < 99 < 96
Here, 85 < 96 is true but 68 ≥ 75 is not true.
Checking Option B: 75 = 66 ≤ 85 ≤ 68 < 99 < 96
Here, 85 < 96 and 68 ≥ 75 both follow.
Checking Option C: 75 = 66 ≤ 85 > 68 < 99 < 96
Here, 85 < 96 and 68 ≥ 75 both doesn't follow.
Checking Option D: 75 = 66 ≤ 85 ≥ 68 < 99 < 96
Here, 85 < 96 and 68 ≥ 75 both doesn't follow.
Hence, Option B is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statements: 
S ≥ D < P = F > O > Q = X > W
Conclusions: I. S > P  II. F < X  III. W < P
  • a)
    Only conclusion I follows
  • b)
    Only conclusion III follows
  • c)
    Only conclusion II follows
  • d)
    None follows
Correct answer is option 'B'. Can you explain this answer?

Iq Funda answered
Given statement: S ≥ D < P = F > O > Q = X > W
Checking C1: S > P
Here, S ≥ D < P, so no relation is possible because of opposite sign between them.
Therefore, C1 doesn’t follow.
Checking C2: F < X
Here, F > O > Q = X, so F > X is true.
So, F < X is not true.
Therefore, C2 doesn’t follow.
Checking C3: W < P
Here, P = F > O > Q = X > W, so W < P is true.
Therefore, C3 follows.
Hence, Option B is correct.

Directions: In these questions, relationship between different elements is shown in the statement. The statements are followed by two conclusions. Choose the correct answer on the basis of information given below.
Statements:   
 U ≥ T < K, B ≥ L > W, S = K ≥ V, V = W
Conclusions:   I. S > T             II. U ≤ V
  • a)
    If only conclusion I is true.
  • b)
    If only conclusion II is true.
  • c)
    If either conclusion I or II is true.
  • d)
    If neither conclusion I nor II is true.
Correct answer is option 'A'. Can you explain this answer?

Aim It Academy answered
Given statements:
U ≥ T < K          ….(i)
B ≥ L > W         ….(ii)
S= K ≥ V           ….(iii)
V = W              ….(iv)
Combining (i), (ii), (iii) and (iv), we get
U ≥ T < K = S ≥ V = W < L ≤ B  ….(v)
Check for conclusion I: 
From (v), T < S or S > T is true.
Check for conclusion II: 
From (v), we can’t compare U and V.
Hence, II (U ≤ V) is not true.
Hence, only I is true.
Hence, option A is correct. 

Directions: In these questions, relationship between different elements is shown in the statement. The statements are followed by two conclusions. Choose the correct answer on the basis of information given below.
Statements:
 3 ≤ 6 < 9 ≥ 8; 6 ≤ 4; 5 > 9
Conclusions: I. 6 ≥ 3  II. 8 < 5  III. 3 < 9
  • a)
    Only conclusion I follows
  • b)
    Only conclusion II  follows
  • c)
    Only conclusion III follows
  • d)
    All follow
Correct answer is option 'D'. Can you explain this answer?

Iq Funda answered
By combining all the statements we get:
3 ≤ 6 < 9 ≥ 8; 6 ≤ 4; 5 > 9
Checking C1: 6 ≥ 3
Here, 3 ≤ 6
Therefore, C1 follows.
Checking C2: 8 < 5
Here, 5 > 9 ≥ 8
The common sign between 5 and 8 is ">".
Therefore, C2 follows.
Checking C3:  3 < 9
Here, 3 ≤ 6 < 9
The common sign between 3 and 9 is "<" .
Therefore, C3 follows.
Hence, Option D is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statements: 
A > W > E = K < O < J ≤ M
Conclusions: I. W > K  II. M > K  III. A > K
  • a)
    Only conclusion I follows
  • b)
    Only conclusion II  follows
  • c)
    Only conclusion III follows
  • d)
    All conclusion follow
Correct answer is option 'D'. Can you explain this answer?

Statements: A > W > E = K < O < J ≤ M
Checking C1: W > K
Here, W > E = K, so W > K.
Therefore, C1 follows.
Checking C2: M > K
Here, K < O < J ≤ M, so, M > K.
Therefore, C2 follows.
Checking C3: A > K
Here, A > W > E = K, so A > K.
Therefore, C3 follows.
Hence, all the conclusions follow.
Hence, Option D is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statement: 
1 ≤ 2; 3 = 4; 1 ≥ 4; 5 > 2
Conclusions: I. 3 = 1  II. 1 > 3  III. 5 ≤ 2
  • a)
    Only conclusion I follows
  • b)
    Only conclusion II follows
  • c)
    Either conclusion II or III follow
  • d)
    Either conclusion I or II follows
Correct answer is option 'D'. Can you explain this answer?

Aim It Academy answered
Combining statements: 1 ≤ 2; 3 = 4; 1 ≥ 4; 5 > 2
Checking C1: 3 = 1
Here, 3 = 4 ≤ 1.
The common sign between 3 and 1 are = and ≤.
So, 3 = 1 is not definately true.
Checking C2: 1 > 3
Here, 3 = 4 ≤ 1.
The common sign between 3 and 1 are = and ≤.
So, 1 > 3 is not definitely true.
Checking C3: 5 ≤ 2
Here, 5 > 2 is definite true.
So, 5 ≤ 2 is not true.
Conclusions I and II are complementary pairs.
Hence, Option D is correct.

Directions: In these questions, relationship between different elements is shown in the statement. The statements are followed by two conclusions. Choose the correct answer on the basis of information given below.
Statements: 
D ≥ G = Y ≤ T; M < G ≥ Z
Conclusions: I. D ≥ M  II. T ≥ M
  • a)
    Only conclusion I follows
  • b)
    Only conclusion II follows
  • c)
    Either conclusion I or conclusion II follows
  • d)
    Neither conclusion I nor conclusion II follows
Correct answer is option 'D'. Can you explain this answer?

By combining all the statements we get:
D ≥ G = Y ≤ T; M < G ≥ Z
Checking C1: D ≥ M
Here, D ≥ G > M
The common sign between D and M are ≥ and >.
So, D ≥ M is not true.
Therefore, C1 doesn’t follow.
Checking C2: T ≥ M
Here, M < G = Y ≤ T
The common sign between T and M are <, = and ≤.
So, T ≥ M is not true.
Therefore, C2 doesn’t follow.
Hence, Option D is correct.

Directions: In these questions, relationship between different elements is shown in the statement. The statements are followed by two conclusions. Choose the correct answer on the basis of information given below.
Statements: 
K < P ≥ L > J; L < T; H ≤ J
Conclusions: I. K < T  II. H < T
  • a)
    Only conclusion I follows
  • b)
    Only conclusion II follows
  • c)
    Either conclusion I or conclusion II follows
  • d)
    Both conclusions follow
Correct answer is option 'B'. Can you explain this answer?

By combining all the statements we get:
K < P ≥ L > J; L < T; H ≤ J
Checking C1: K < T
Here, K < P ≥ L < T.
So, we can see that the opposite sign between K and T, thus no relationship can be established between them.
Therefore, C1 doesn’t follow.
Checking C2: H < T
Here, H ≤ J < L < T
The common sign between H and T is "<".
So, H < T is true.
Therefore, C2 follows.
Hence, Option B is correct.

If the expression, A > B, C < A and C ≥ D = E ≥ F are true then, which of the following combinations will be definitely true?
  • a)
    E < A
  • b)
    F > B
  • c)
    F < A
  • d)
    Both A and C
Correct answer is option 'D'. Can you explain this answer?

Combining statements: B < A > C ≥ D = E ≥ F
Checking Option A: E < A
Here we get the common sign between E and A as "<", hence it is true definitely.
Checking Option B: F > B
We can clearly see that the signs between F and B get reversed therefore the relation between F and B cannot be formed.
Checking Option C: F < A
B < A > C ≥ D = E ≥ F
Here, the common sign between F and A is "<"
Therefore, F < A is true definitely.
Hence, Option D is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statement: 
L > W ≥ Q = G; B ≤ G < K = M
Conclusions: I. B > L  II. M < W
  • a)
    Only conclusion I is true
  • b)
    Only conclusion II is true
  • c)
    Both conclusion I and II is true
  • d)
    None is true
Correct answer is option 'D'. Can you explain this answer?

Iq Funda answered
Combining statements: L > W ≥ Q = G; B ≤ G < K = M
Checking C1: B > L
Here, B ≤ G = Q ≤ W < L.
So, B < L is definitely true.
Therefore, B > L is not true.
Checking C2: M < W
Here, W ≥ Q = G < K = M.
We can clearly see that the signs between M and W get reversed therefore the relation between M and W cannot be formed.
Therefore, M < W is not true.
Hence, Option D is correct.

Which of the following set of letters when filled in the blanks from left to right will make T > Y definitely false?
__ = __ > ___ = ____ > ____ > ___ ≤ ____
  • a)
    B, Y, T, H, E, F, A
  • b)
    A, H, Y, T, B, L, F
  • c)
    T, Y, K, L, H, P, O
  • d)
    All of the above
Correct answer is option 'D'. Can you explain this answer?

Wizius Careers answered
Check options one by one
Checking Option A: B = Y > T = H > E > F ≤ A, so T > Y is definitely false.
Checking Option B: A = H > Y = T > B > L ≤ F, so T > Y is definitely false.
Checking Option C: T = Y > K = L > H > P ≤ O, so T > Y is definitely false.
Hence, Option D is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statements:
 N < T ≤ K = Y = Z < L < S
Conclusions:  I. N > Z  II. N < Z
  • a)
    Only conclusion I follows
  • b)
    Only conclusion II follows
  • c)
    Either conclusion I or II follows
  • d)
    Neither conclusion I nor II follows
Correct answer is option 'B'. Can you explain this answer?

Checking C1: N > Z
Given Statements:  N < T ≤ K = Y = Z < L < S
The common sign between N and Z is <.
Therefore, C1 doesn’t follow.
Checking C2: N < Z
Given Statements:  N < T ≤ K = Y = Z < L < S
The common sign between N and Z is <.
Therefore, C2 follows.
Hence, Option B is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statements: 
K > J; D < V, V < J; D = N ≥ M; H > G < M
Conclusions: I. H > D  II. G < K  III. H < M
  • a)
    Only conclusion I follows
  • b)
    Only conclusion III follows
  • c)
    Only conclusion II follows
  • d)
    Both conclusions I and II follow
Correct answer is option 'C'. Can you explain this answer?

By combining all the statements we get:
K > J > V > D = N ≥ M > G < H
Checking C1: H > D
Here, D = N ≥ M > G < H, so no relation is possible because of opposite sign between them.
Therefore, C1 doesn’t follow.
Checking C2: G < K
Here, K > J > V > D = N ≥ M > G, so G < K.
Therefore, C2 follows.
Checking C3: H < M
Here, H > G < M, so no relation is possible because of opposite sign between them.
Therefore, C3 doesn’t follow.
Hence, Option C is correct.

Direction: Which of the following symbols should be placed in the blank space to complete the given expression in such a manner that ‘C ≥ U’ definitely holds true?
B ≥ U > O; K < B ___ Q ≤ C
  • a)
    >
  • b)
  • c)
  • d)
    <
Correct answer is option 'B'. Can you explain this answer?

Aim It Academy answered
B ≥ U > O; K < B ___ Q ≤ C
On combining,
O < U ≤ B ____ Q ≤ C
Replacing the signs of option A in the given inequality,
O < U ≤ B > Q ≤ C
It doesn’t satisfy the given condition.
Replacing the signs of option B in the given inequality,
O < U ≤ B ≤ Q ≤ C
It satisfies the given condition.
Replacing the signs of option C in the given inequality,
O < U ≤ B ≥ Q ≤ C
It doesn’t satisfy the given condition.
Replacing the signs of option D in the given inequality,
O < U ≤ B < Q ≤ C
It doesn’t satisfy the given condition.
Hence, Option B is correct.

Direction: Which of the following symbols should be placed in the blank space to complete the given expression in such a manner that ‘N < T’ definitely holds true?
T = H ≥ S; N ? L ≤ S
  • a)
    <
  • b)
  • c)
  • d)
    >
Correct answer is option 'A'. Can you explain this answer?

Iq Funda answered
T = H ≥ S; N ? L ≤ S
On combining,
N ? L ≤ S ≤ H = T
Replacing the signs of option A in the given inequality,
N < L ≤ S ≤ H = T
It satisfies the given condition.
Replacing the signs of option B in the given inequality,
N ≤ L ≤ S ≤ H = T
It doesn’t satisfy the given condition.
Replacing the signs of option C in the given inequality,
N ≥ L ≤ S ≤ H = T
It doesn’t satisfy the given condition.
Replacing the signs of option A in the given inequality,
N > L ≤ S ≤ H = T
It doesn’t satisfy the given condition.
Hence, Option A is correct.

Which of the following set of letters when filled in the blanks from left to right will make 9 < 4 definitely true?
__ < ___ > ____ > ___
  • a)
    4, 7, 8, 9
  • b)
    7, 4, 8, 9
  • c)
    9, 8, 4, 7
  • d)
    4, 7, 9, 8
Correct answer is option 'B'. Can you explain this answer?

Iq Funda answered
Check options one by one
Checking Option A: 4 < 7 > 8 > 9, 9 < 4 is not definately true.
Checking Option B: 7 < 4 > 8 > 9, 9 < 4 is true.
Checking Option C: 9 < 8 > 4 > 7, 9 < 4 is not definately true.
Checking Option D: 4 < 7 > 9 > 8, 9 < 4 is not definately true.
Hence, Option B is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statements: 
X ≤ W > L;  K < Y ≤ X;  S < W ≤ T < U
Conclusions: I. K < W  II. U > Y  III. S < L
  • a)
    Only conclusion I follows
  • b)
    Only conclusion III follows
  • c)
    Only conclusion II follows
  • d)
    Both conclusions I and II follow
Correct answer is option 'D'. Can you explain this answer?

By combining all the statements we get:
K < Y ≤ X ≤ W > L; S < W ≤ T < U
Checking C1: K < W
Here, K < Y ≤ X ≤ W, so K < W is true.
Therefore, C1 follows.
Checking C2: U > Y
Here, Y ≤ X ≤ W ≤ T < U, so U > Y is true.
Therefore, C2 follows.
Checking C3: S < L
Here, S < W > L, so S < L is not true.
Therefore, C3 doesn’t follow.
Hence, Option D is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statements: 
C < B ≤ D;  F < E ≤ C > G;  F > H ≥ I
Conclusions: I. D > G  II. B > F  III. I < C
  • a)
    Only conclusion I follows
  • b)
    Only conclusion III follows
  • c)
    Only conclusion II follows
  • d)
    All follows
Correct answer is option 'D'. Can you explain this answer?

Aim It Academy answered
By combining all the statements we get:
I ≤ H < F < E ≤ C > G; G < C < B ≤ D
Checking C1: D > G
Here, G < C < B ≤ D, so D > G is true.
Therefore, C1 follows
Checking C2: B > F
Here, B > C ≥ E > F, so, B > F is true.
Therefore, C2 follows.
Checking C3: I < C
Here, I ≤ H < F < E ≤ C, so I < C is true.
Therefore, C3 follows.
Hence, Option E is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statement: 
124 > 343 = 149 ≥ 248; 149 < 328 ≤ 510; 510 > 320 < 620
Conclusions: I. 343 < 510  II. 620 < 328
  • a)
    Only conclusion I is true
  • b)
    Only conclusion II is true
  • c)
    Both conclusion I and II is true
  • d)
    Either conclusion I or II is true
Correct answer is option 'A'. Can you explain this answer?

Combining statements: 124 > 343 = 149 ≥ 248; 149 < 328 ≤ 510; 510 > 320 < 620
Checking C1: 343 < 510
Here, 343 = 149 < 328 ≤ 510
The common sign between 343 and 510 is =, < and ≤.
Therefore, 343 < 510 is true.
Checking C2: 620 < 328
Here, 328 ≤ 510 > 320 < 620.
We can clearly see that the signs between 620 and 328 get reversed therefore the relation between 620 and 328 cannot be formed.
Therefore, 620 < 328 is not true.
Hence, Option A is correct.

Directions:  In these questions, the relationship between different elements is shown in different statements. The statements are followed by two conclusions. Choose the correct answer given below:
Statements:
1 > 2 < 4; 3 = 5 ≥ 7 > 2
Conclusions:  I. 1 > 4  II. 4 > 3
  • a)
    Only conclusion I is true
  • b)
    Only conclusion II is true
  • c)
    Both conclusion I and II is true
  • d)
    None is true
Correct answer is option 'D'. Can you explain this answer?

T.S Academy answered
Combining statements: 1 > 2 < 4; 3 = 5 ≥ 7 > 2
Checking C1: 1 > 4
Here, 1 > 2 < 4
We can clearly see that the signs between 1 and 4 get reversed therefore the relation between 1 and 4 cannot be formed.
Therefore, C1 doesn’t follow.
Checking C2: 4 > 3
Here, 3 = 5 ≥ 7 > 2 < 4
We can clearly see that the signs between 4 and 3 get reversed therefore the relation between 4 and 3 cannot be formed.
Therefore, C2 doesn’t follow.
Hence, Option D is correct.

If the expression, ‘A ≥ B; J > E; O < F = A; B > J’ are definitely true then which of the following combinations will possibly false?
  • a)
    F > J
  • b)
    A > E
  • c)
    Both A and B
  • d)
    B > O
Correct answer is option 'D'. Can you explain this answer?

Wizius Careers answered
Given statements: A ≥ B; J > E; O < F = A; B > J
On combining the statements:
O < F = A ≥ B> J > E
Checking Option A:
F > J is true.
Checking Option B:
A > E is true.
Checking Option D:
B > O is not true because of opposite sign between them.
Hence, Option D is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statements: 
J > M ≥ K;  S < L ≤ J;  R < M ≤ G
Conclusions: I. S < M  II. G ≥ K  III. M < L
  • a)
    Only conclusion I follows
  • b)
    Only conclusion III follows
  • c)
    Both conclusions I and II follow
  • d)
    Only conclusion II follows
Correct answer is option 'D'. Can you explain this answer?

Iq Funda answered
By combining all the statements we get:
S < L ≤ J > M ≥ K; R < M ≤ G
Checking C1: S < M
Here, S < L ≤ J > M, so no relation is possible because of opposite sign between them.
Therefore, C1 doesn’t follow.
Checking C2: G ≥ K
Here,  G ≥ M ≥ K, so G ≥ K is true.
Therefore, C2 follows.
Checking C3: M < L
Here, L ≤ J > M, so no relation is possible because of opposite sign between them.
Therefore, C3 doesn’t follow.
Hence, Option D is correct.

Which of the following symbol(s) should be placed in the place of the question mark in the following expression to make E > L and D < F true?

U = L ? I ≤ D ? Q = E ≤ F
  • a)
    <, ≥
  • b)
    <, <
  • c)
    >, ≤
  • d)
    ≤, ≥
Correct answer is option 'B'. Can you explain this answer?

Wizius Careers answered
Given statement: U = L ? I ≤ D ? Q = E ≤ F
Check options one by one
Checking Option A: U = L < I ≤ D ≥ Q = E ≤ F, it doesn’t satisfy the given conditions.
Checking Option B: U = L < I ≤ D < Q = E ≤ F, it satisfies the given conditions.
Checking Option C: U = L > I ≤ D ≤ Q = E ≤ F, it doesn’t satisfy the given conditions.
Checking Option D: U = L ≤ I ≤ D ≥ Q = E ≤ F, it doesn’t satisfy the given conditions.
Hence, Option B is correct.

Which of the following symbol(s) should be placed in place of the question mark in the following expression in order to make K < J and I ≥ H definitely true?
K = H ___ G ≤ I < J
  • a)
    <
  • b)
  • c)
    =
  • d)
    Either ≤ or =
Correct answer is option 'D'. Can you explain this answer?

Wizius Careers answered
Check options one by one
Checking Option A:
K = H < G ≤ I < J
Here, K < J is true but I ≥ H is not true because it make definite relation I < H.
Checking Option B:
K = H ≤ G ≤ I < J
Here, K < J and I ≥ H both follow.
Checking Option C:
K = H = G ≤ I < J
Here, K < J and I ≥ H both follow.
Hence, Option D is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statements:
 E = H > A ≥ W < C = Y;  A > J
Conclusions: I. H > J  II. W < E  III. E < C
  • a)
    Only conclusion I follows
  • b)
    Only conclusion III follows
  • c)
    Only conclusion II follows
  • d)
    Both conclusions I and II follow
Correct answer is option 'D'. Can you explain this answer?

Iq Funda answered
By combining all the statements we get:
E = H > A ≥ W < C = Y; A > J
Checking C1: H > J
Here, H > A > J, so H > J is true.
Therefore, C1 follows.
Checking C2: W < E
Here, E = H > A ≥ W, so W < E is true.
Therefore, C2 follows.
Checking C3: E < C
Here, E = H > A ≥ W < C, so no relation is possible because of opposite sign between them.
Therefore, C3 doesn’t follow.
Hence, Option D is correct.

In which of the following expressions will make the expression R < O be definitely true?
  • a)
    O < T > R ≥ U
  • b)
    O ≥ U = R < H
  • c)
    S < O < G = R
  • d)
    R = C < T < O
Correct answer is option 'D'. Can you explain this answer?

T.S Academy answered
Check options one by one
Checking Option A: O < T > R ≥ U
We can clearly see that the signs between R and O get reversed therefore the relation between R and O cannot be formed.
Checking Option B: O ≥ U = R < H
We can clearly see that R ≤ O.
So, R < O is not true.
Checking Option C: S < O < G = R
We can clearly see that R > O.
So, R < O is not true.
Checking Option D: R = C < T < O
We can clearly see that R < O is definitely true.
Hence, Option D is correct.

If the expression, ‘B > A; G < E > T; T ≥ B’ are definitely true then which of the following combinations will be possibly false?
  • a)
    E > A
  • b)
    T > A
  • c)
    G > B
  • d)
    Both conclusions B and C
Correct answer is option 'C'. Can you explain this answer?

Wizius Careers answered
Given statement: B > A; G < E > T; T ≥ B
On combining the statements,
G < E > T ≥ B > A
Checking Option A:
E > A is true.
Checking Option B:
T > A is true.
Checking Option C:
G > B is not true because of opposite sign between them.
Hence, Option C is correct.

Directions: In these questions, relationship between different elements is shown in the statement. The statements are followed by two conclusions. Choose the correct answer on the basis of information given below.
Statements:    
K ≥ U > C, A < T ≤ S, C = R > A
Conclusions:   I. C ≤ S             II. T ≥ U
  • a)
    If only conclusion I is true.
  • b)
    If only conclusion II is true.
  • c)
    If either conclusion I or II is true.
  • d)
    If neither conclusion I nor II is true.
Correct answer is option 'D'. Can you explain this answer?

Iq Funda answered
Given Statements: 
K ≥ U > C         ….(i)
A < T ≤ S          ….(ii)
C = R > A         ….(iii)
Combining (i), (ii) and (iii), we get
K ≥ U > C = R > A < T ≤ S ….(iv)
Check for conclusion I: 
From (iv), we can’t compare C and S.
Thus, C ≤ S is not true.
Check for conclusion II: 
From (iv), we can’t compare T and U.
Thus, T ≥ U is not true.
Hence, neither I nor II is true.
Hence, option D is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statements:  E > L > V > M = N < T < H
Conclusions:  I. E > M  II. M < H
  • a)
    Only conclusion I follows
  • b)
    Only conclusion II follows
  • c)
    Either conclusion I or II follows
  • d)
    Both conclusions I and II follow
Correct answer is option 'D'. Can you explain this answer?

Checking C1: E > M
Given Statements:  E > L > V > M = N < T < H
The common sign between E and M is >.
Therefore, C1 follows.
Checking C2: M < H
Given Statements:  E > L > V > M = N < T < H
The common sign between M and H is <.
Therefore, C2 follows.
Hence, Option D is correct.

Which of the following symbol(s) should be placed in the place of the question mark in the following expression to make N < H true?
H = T ≥ I; N ? P ≤ I
  • a)
    <
  • b)
  • c)
    >
  • d)
Correct answer is option 'A'. Can you explain this answer?

Aim It Academy answered
By combining all the statements we get:
N ? P ≤ I ≤ T = H
Check options one by one
Checking Option A:
N < P ≤ I ≤ T = H, it satisfies the given condition.
Checking Option B:
N ≤ P ≤ I ≤ T = H, it doesn’t satisfy the given condition.
Checking Option C:
N > P ≤ I ≤ T = H, it doesn’t satisfy the given condition.
Checking Option D:
N ≥ P ≤ I ≤ T = H, it doesn’t satisfy the given condition.
Hence, Option A is correct.

Direction: In the following question, assume the given information to be true and mark the appropriate options.
Statements: 
X ≤ F > M = Y ≤ R ≤ P,  J ≥ F
Conclusions: I. J = X  II. J > X  III. X > R
  • a)
    Only conclusion I follows
  • b)
    Only conclusion II follows
  • c)
    Only conclusion III follows
  • d)
    Either conclusion I or conclusion II follows
Correct answer is option 'D'. Can you explain this answer?

Aim It Academy answered
By combining all the statements we get:
X ≤ F > M = Y ≤ R ≤ P, J ≥ F
Checking C1: J = X
Here, J ≥ F ≥ X, so J = X is not true.
Therefore, C1 doesn’t follow.
Checking C2: J > X
Here, J ≥ F ≥ X, so J > X is not true.
Therefore, C2 doesn’t follow.
Checking C3: X > R
Here, X ≤ F > M = Y ≤ R, so no relation is possible because of opposite sign between them.
Therefore, C3 doesn't follow.
But evaluating the options either I or II can be true.
Hence, Option D is correct.

Directions: In these questions, relationship between different elements is shown in the statement. The statements are followed by two conclusions. Choose the correct answer on the basis of information given below.
Statements:

E = F < G < H;    G ≥ I
 Conclusions:
I. H > I    II. E > I
  • a)
    If only conclusion I is true.
  • b)
    If only conclusion II is true.
  • c)
    If either conclusion I or II is true.
  • d)
    If neither conclusion I nor II is true.
Correct answer is option 'A'. Can you explain this answer?

Given statements:
E = F < G < H       …. (i)
G ≥ I                   …. (ii)
From (i) and (ii), we get
I ≤ G < H                                   …. (iii)
Thus, I < H or H > I is true.
Again, from (i) and (ii), we get
E = F < G ≥ I                              …. (iv)
We can’t compare E and I. Hence, E > I is not true.
Hence, only conclusion I is true.
Hence, option A correct.

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