20 questions in the pattern of MAH MBA CET and NMAT. Each question is marked with the exams it suits. Answer it, then open the step-by-step solution.
Exam:
Q1LR · InequalitiesMAH CETNMAT
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: E @ M * G @ B
Conclusions:
I. E $ B
II. E * M
Solution
Decode: E @ M * G @ B means E = M ≤ G = B.
Combining the statements gives E ≤ B, so 'E > B' is not definitely true.
Combining the statements gives E = M, so 'E ≤ M' is definitely true.
Answer: (B) Only II is true
Q2LR · InequalitiesMAH CETNMAT
Statement: B > K ≥ S ≤ P = L
Conclusions:
I. B ≤ P
II. P ≤ L
Solution
Given: B > K ≥ S ≤ P = L.
There is no fixed relation between B and P (they are not linked in one direction), so 'B ≤ P' is not definitely true.
Combining the statements gives P = L, so 'P ≤ L' is definitely true.
Answer: (B) Only II is true
Q3LR · InequalitiesMAH CETNMAT
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: P % S # B & H
Conclusions:
I. P % H
II. S % H
Solution
Decode: P % S # B & H means P ≤ S = B < H.
Combining the statements gives P < H, so 'P ≤ H' is definitely true.
Combining the statements gives S < H, so 'S ≤ H' is definitely true.
Answer: (C) Both I and II are true
Q4LR · InequalitiesMAH CETNMAT
Statement: D > P ≥ G ≤ R ≤ K
Conclusions:
I. R > G
II. R = G
Solution
Given: D > P ≥ G ≤ R ≤ K.
Combining the statements gives R ≥ G, so 'R > G' is not definitely true.
Combining the statements gives R ≥ G, so 'R = G' is not definitely true.
Since R ≥ G is certain, one of 'R > G' and 'R = G' must hold: either I or II is true.
Answer: (C) Either I or II is true
Q5LR · InequalitiesMAH CETNMAT
Statement: T ≥ R = S ≤ G ≤ L
Conclusions:
I. T = R
II. L > S
Solution
Given: T ≥ R = S ≤ G ≤ L.
Combining the statements gives T ≥ R, so 'T = R' is not definitely true.
Combining the statements gives L ≥ S, so 'L > S' is not definitely true.
Answer: (D) Neither I nor II is true
Q6LR · InequalitiesMAH CETNMAT
Statements: S > H = C; C ≤ T < G
Conclusions:
I. C = S
II. G ≥ T
Solution
Given: S > H = C; C ≤ T < G.
Combining the statements gives C < S, so 'C = S' is not definitely true.
Combining the statements gives G > T, so 'G ≥ T' is definitely true.
Answer: (B) Only II is true
Q7LR · InequalitiesMAH CETNMAT
Which set of symbols, placed in order in the blanks, makes 'H ≤ S' definitely true?
H _ G _ K _ S
Solution
With ≤, =, <: H ≤ G = K < S, which gives H < S, so 'H ≤ S' holds.
With <, ≤, ≥: H < G ≤ K ≥ S does not fix 'H ≤ S'.
With <, <, ≥: H < G < K ≥ S does not fix 'H ≤ S'.
With <, =, ≥: H < G = K ≥ S does not fix 'H ≤ S'.
Answer: (D) ≤, =, <
Q8LR · InequalitiesMAH CETNMAT
Which set of symbols, placed in order in the blanks, makes 'K < G' definitely true?
K _ A _ F _ G
Solution
With ≤, =, <: K ≤ A = F < G, which gives K < G, so 'K < G' holds.
With ≤, >, <: K ≤ A > F < G does not fix 'K < G'.
With <, ≥, ≤: K < A ≥ F ≤ G does not fix 'K < G'.
With =, <, >: K = A < F > G does not fix 'K < G'.
Answer: (B) ≤, =, <
Q9LR · InequalitiesMAH CETNMAT
Statement: M = F > E < B ≤ P
Conclusions:
I. P ≤ E
II. B > F
Solution
Given: M = F > E < B ≤ P.
Combining the statements gives P > E, so 'P ≤ E' is not definitely true.
There is no fixed relation between B and F (they are not linked in one direction), so 'B > F' is not definitely true.
Answer: (D) Neither I nor II is true
Q10LR · InequalitiesMAH CETNMAT
Statements: E ≥ G ≥ R; R < A ≤ M
Conclusions:
I. E > R
II. E ≤ G
Solution
Given: E ≥ G ≥ R; R < A ≤ M.
Combining the statements gives E ≥ R, so 'E > R' is not definitely true.
Combining the statements gives E ≥ G, so 'E ≤ G' is not definitely true.
Answer: (D) Neither I nor II is true
Q11LR · InequalitiesMAH CETNMAT
Statement: F ≥ R > P < K < M
Which of the following is definitely true?
Solution
Combining the chain gives P < M, so 'P ≤ M' is definitely true.
Answer: (B) P ≤ M
Q12LR · InequalitiesMAH CETNMAT
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: A $ B $ R $ L
Conclusions:
I. L # B
II. R % L
Solution
Decode: A $ B $ R $ L means A > B > R > L.
Combining the statements gives L < B, so 'L = B' is not definitely true.
Combining the statements gives R > L, so 'R < L' is not definitely true.
Answer: (D) Neither I nor II is true
Q13LR · InequalitiesMAH CETNMAT
Statements: H ≥ P < F; K = F < G
Conclusions:
I. K ≤ G
II. K ≤ F
Solution
Given: H ≥ P < F; K = F < G.
Combining the statements gives K < G, so 'K ≤ G' is definitely true.
Combining the statements gives K = F, so 'K ≤ F' is definitely true.
Answer: (C) Both I and II are true
Q14LR · InequalitiesMAH CETNMAT
Statement: A > H ≥ R < E ≤ M
Which of the following is definitely true?
Solution
Combining the chain gives A > R, so 'A > R' is definitely true.
Answer: (C) A > R
Q15LR · InequalitiesMAH CETNMAT
Which set of symbols, placed in order in the blanks, makes 'K ≤ A' definitely true?
K _ M _ H _ A
Solution
With <, <, ≤: K < M < H ≤ A, which gives K < A, so 'K ≤ A' holds.
With <, =, ≥: K < M = H ≥ A does not fix 'K ≤ A'.
With =, <, >: K = M < H > A does not fix 'K ≤ A'.
With >, ≤, =: K > M ≤ H = A does not fix 'K ≤ A'.
Answer: (D) <, <, ≤
Q16LR · InequalitiesMAH CETNMAT
Which set of symbols, placed in order in the blanks, makes 'B > C' definitely true?
B _ R _ K _ C
Solution
With ≥, >, >: B ≥ R > K > C, which gives B > C, so 'B > C' holds.
With ≤, ≥, ≥: B ≤ R ≥ K ≥ C does not fix 'B > C'.
With ≥, ≥, ≤: B ≥ R ≥ K ≤ C does not fix 'B > C'.
With =, ≥, ≥: B = R ≥ K ≥ C does not fix 'B > C'.
Answer: (C) ≥, >, >
Q17LR · InequalitiesMAH CETNMAT
Statement: H ≥ E ≥ P < D ≤ F
Which of the following is definitely true?
Solution
Combining the chain gives P ≤ H, so 'P ≤ H' is definitely true.
Answer: (A) P ≤ H
Q18LR · InequalitiesMAH CETNMAT
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 & H # D & B
Conclusions:
I. D # B
II. D $ B
Solution
Decode: M & H # D & B means M ≤ H = D ≤ B.
Combining the statements gives D ≤ B, so 'D = B' is not definitely true.
Combining the statements gives D ≤ B, so 'D > B' is not definitely true.
Answer: (D) Neither I nor II is true
Q19LR · InequalitiesMAH CETNMAT
Statement: H ≥ A > B ≤ R > D
Which of the following is definitely true?
Solution
Combining the chain gives B < H, so 'B ≤ H' is definitely true.
Answer: (B) B ≤ H
Q20LR · InequalitiesMAH CETNMAT
Statements: A ≤ T > B; H ≤ B ≥ L
Conclusions:
I. T = B
II. B ≥ T
Solution
Given: A ≤ T > B; H ≤ B ≥ L.
Combining the statements gives T > B, so 'T = B' is not definitely true.
Combining the statements gives B < T, so 'B ≥ T' is not definitely true.
Answer: (D) Neither I nor II is true
These are original practice questions written by Target Campus in the pattern and difficulty of MAH MBA CET, NMAT, SNAP and other MBA entrance tests. They are not previous-year papers.
Preparing for MAH CET, NMAT, SNAP or CAT? Courses, live classes and mocks by Dr. Kiran Derle at Target Campus.
