24 questions. Each is marked with the exam level it suits. Answer, then open the step-by-step solution.
Which set of symbols, placed in order in the blanks, makes 'A > F' definitely true?
A _ E _ M _ F
With >, =, ≥: A > E = M ≥ F, which gives A > F, so 'A > F' holds.
With ≥, ≥, ≥: A ≥ E ≥ M ≥ F does not fix 'A > F'.
With ≥, <, =: A ≥ E < M = F does not fix 'A > F'.
With >, =, ≤: A > E = M ≤ F does not fix 'A > F'.
Statement: T > S = K < C < F
Conclusions:
I. K > T
II. F ≥ C
Given: T > S = K < C < F.
Combining the statements gives K < T, so 'K > T' is not definitely true.
Combining the statements gives F > C, so 'F ≥ C' is definitely true.
In a certain code, 'P * Q' means 'P is greater than Q'; 'P # Q' means 'P is smaller than Q'; 'P & Q' means 'P is equal to Q'; 'P % Q' means 'P is either greater than or equal to Q'; 'P @ Q' means 'P is either smaller than or equal to Q'.
Statement: T & C @ H % A
Conclusions:
I. H & A
II. H * A
Decode: T & C @ H % A means T = C ≤ H ≥ A.
Combining the statements gives H ≥ A, so 'H = A' is not definitely true.
Combining the statements gives H ≥ A, so 'H > A' is not definitely true.
Since H ≥ A is certain, one of 'H = A' and 'H > A' must hold: either I or II is true.
Statement: E ≥ K > L < T < S
Which of the following is definitely true?
Combining the chain gives L < S, so 'L ≤ S' is definitely true.
Statements: B > R = A; A > E = F
Conclusions:
I. R ≥ B
II. A > F
Given: B > R = A; A > E = F.
Combining the statements gives R < B, so 'R ≥ B' is not definitely true.
Combining the statements gives A > F, so 'A > F' is definitely true.
Statements: A < E ≤ C; C > L > K
Conclusions:
I. K > A
II. K = A
Given: A < E ≤ C; C > L > K.
There is no fixed relation between K and A (they are not linked in one direction), so 'K > A' is not definitely true.
There is no fixed relation between K and A (they are not linked in one direction), so 'K = A' is not definitely true.
Statement: T > S = L ≤ K ≤ A
Which of the following is definitely true?
Combining the chain gives A ≥ S, so 'A ≥ S' is definitely true.
Which set of symbols, placed in order in the blanks, makes 'C < P' definitely true?
C _ G _ T _ P
With <, <, ≤: C < G < T ≤ P, which gives C < P, so 'C < P' holds.
With <, =, >: C < G = T > P does not fix 'C < P'.
With ≤, <, ≥: C ≤ G < T ≥ P does not fix 'C < P'.
With <, <, ≥: C < G < T ≥ P does not fix 'C < P'.
In a certain code, 'P # Q' means 'P is greater than Q'; 'P @ Q' means 'P is smaller than Q'; 'P * Q' means 'P is equal to Q'; 'P % Q' means 'P is either greater than or equal to Q'; 'P & Q' means 'P is either smaller than or equal to Q'.
Statement: M @ S % P * D
Conclusions:
I. P & M
II. M % D
Decode: M @ S % P * D means M < S ≥ P = D.
There is no fixed relation between P and M (they are not linked in one direction), so 'P ≤ M' is not definitely true.
There is no fixed relation between M and D (they are not linked in one direction), so 'M ≥ D' is not definitely true.
Statements: M ≤ G ≤ R; P ≤ R = H
Conclusions:
I. H ≥ G
II. G < H
Given: M ≤ G ≤ R; P ≤ R = H.
Combining the statements gives H ≥ G, so 'H ≥ G' is definitely true.
Combining the statements gives G ≤ H, so 'G < H' is not definitely true.
Statement: B ≥ T = H ≤ E < F
Which of the following is definitely true?
Combining the chain gives F > T, so 'F ≥ T' is definitely true.
Which set of symbols, placed in order in the blanks, makes 'S > A' definitely true?
S _ F _ D _ A
With ≥, >, >: S ≥ F > D > A, which gives S > A, so 'S > A' holds.
With ≤, >, >: S ≤ F > D > A does not fix 'S > A'.
With <, =, ≥: S < F = D ≥ A does not fix 'S > A'.
With >, ≤, ≥: S > F ≤ D ≥ A does not fix 'S > A'.
Statement: H ≥ B > D ≤ E < A
Conclusions:
I. A < D
II. A ≤ H
Given: H ≥ B > D ≤ E < A.
Combining the statements gives A > D, so 'A < D' is not definitely true.
There is no fixed relation between A and H (they are not linked in one direction), so 'A ≤ H' is not definitely true.
In a certain code, 'P @ Q' means 'P is greater than Q'; 'P $ Q' means 'P is smaller than Q'; 'P * Q' means 'P is equal to Q'; 'P & Q' means 'P is either greater than or equal to Q'; 'P # Q' means 'P is either smaller than or equal to Q'.
Statement: C * L & B $ T
Conclusions:
I. L * T
II. T & C
Decode: C * L & B $ T means C = L ≥ B < T.
There is no fixed relation between L and T (they are not linked in one direction), so 'L = T' is not definitely true.
There is no fixed relation between T and C (they are not linked in one direction), so 'T ≥ C' is not definitely true.
Statements: M ≥ S = E; E = R = K
Conclusions:
I. K = S
II. K > S
Given: M ≥ S = E; E = R = K.
Combining the statements gives K = S, so 'K = S' is definitely true.
Combining the statements gives K = S, so 'K > S' is not definitely true.
In a certain code, 'P # Q' means 'P is greater than Q'; 'P % Q' means 'P is smaller than Q'; 'P @ Q' means 'P is equal to Q'; 'P & Q' means 'P is either greater than or equal to Q'; 'P $ Q' means 'P is either smaller than or equal to Q'.
Statement: L $ T $ R $ E
Conclusions:
I. L @ E
II. L $ R
Decode: L $ T $ R $ E means L ≤ T ≤ R ≤ E.
Combining the statements gives L ≤ E, so 'L = E' is not definitely true.
Combining the statements gives L ≤ R, so 'L ≤ R' is definitely true.
Statement: E ≥ P ≥ K < D = H
Conclusions:
I. E > P
II. P ≥ E
Given: E ≥ P ≥ K < D = H.
Combining the statements gives E ≥ P, so 'E > P' is not definitely true.
Combining the statements gives P ≤ E, so 'P ≥ E' is not definitely true.
In a certain code, 'P % Q' means 'P is greater than Q'; 'P # Q' means 'P is smaller than Q'; 'P * Q' means 'P is equal to Q'; 'P @ Q' means 'P is either greater than or equal to Q'; 'P $ Q' means 'P is either smaller than or equal to Q'.
Statement: M $ F # R # K
Conclusions:
I. R % M
II. R * M
Decode: M $ F # R # K means M ≤ F < R < K.
Combining the statements gives R > M, so 'R > M' is definitely true.
Combining the statements gives R > M, so 'R = M' is not definitely true.
Statement: S ≥ A ≥ K ≤ G ≤ R
Which of the following is definitely true?
Combining the chain gives K ≤ R, so 'K ≤ R' is definitely true.
Statements: K ≤ S ≥ C; C ≤ A ≤ B
Conclusions:
I. A = K
II. A > K
Given: K ≤ S ≥ C; C ≤ A ≤ B.
There is no fixed relation between A and K (they are not linked in one direction), so 'A = K' is not definitely true.
There is no fixed relation between A and K (they are not linked in one direction), so 'A > K' is not definitely true.
Which set of symbols, placed in order in the blanks, makes 'P ≤ D' definitely true?
P _ H _ K _ D
With =, <, ≤: P = H < K ≤ D, which gives P < D, so 'P ≤ D' holds.
With ≥, ≤, =: P ≥ H ≤ K = D does not fix 'P ≤ D'.
With <, ≤, >: P < H ≤ K > D does not fix 'P ≤ D'.
With ≥, <, <: P ≥ H < K < D does not fix 'P ≤ D'.
Statement: R > K > C < B ≤ G
Conclusions:
I. C = B
II. C < G
Given: R > K > C < B ≤ G.
Combining the statements gives C < B, so 'C = B' is not definitely true.
Combining the statements gives C < G, so 'C < G' is definitely true.
Statement: A = F ≥ K ≤ E > S
Which of the following is definitely true?
Combining the chain gives K ≤ A, so 'K ≤ A' is definitely true.
Which set of symbols, placed in order in the blanks, makes 'P > T' definitely true?
P _ M _ R _ T
With >, =, >: P > M = R > T, which gives P > T, so 'P > T' holds.
With ≤, >, =: P ≤ M > R = T does not fix 'P > T'.
With <, =, ≥: P < M = R ≥ T does not fix 'P > T'.
With =, >, ≤: P = M > R ≤ T does not fix 'P > T'.
These are original practice questions written by Target Campus in the pattern, syllabus and difficulty of IPMAT Indore, IPMAT Rohtak, JIPMAT, NPAT and SET. They are not previous-year papers.
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