Question:
David hs three credit cards A,B,C and he ows balances on all the cards. Does he owe the gretest balance on card B
Statement (I): Sum of balances on B and C is ₹13500, which is three times balance on A.
Statement (II): Balance on card B is \(\frac{4}{3}\) of card A and \(\frac{4}{5}\) of the balance on card C.
David hs three credit cards A,B,C and he ows balances on all the cards. Does he owe the gretest balance on card B
Statement (I): Sum of balances on B and C is ₹13500, which is three times balance on A.
Statement (II): Balance on card B is \(\frac{4}{3}\) of card A and \(\frac{4}{5}\) of the balance on card C.
Statement (II): Balance on card B is \(\frac{4}{3}\) of card A and \(\frac{4}{5}\) of the balance on card C.
Show Hint
"Is B the greatest?" is a Yes/No question. A definitive "No" is a sufficient answer.
Updated On: Jun 15, 2026
- Statement (I) alone is sufficient.
- Statement (II) alone is sufficient.
- Both statements (I) and (II) are sufficient.
- Neither statement is sufficient.
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
To answer "Does he owe the greatest balance on card B?", we need to determine the ratio or absolute values of A, B, and C.
Step 1: Analyzing Statement (I) Equation: \( B + C = 3A \). This provides a relationship between the sum of two cards and the third. However, we have no information about the relative values of B and C. Statement (I) is insufficient.
Step 2: Analyzing Statement (II) Equations: \( B = \frac{4}{3} A \implies A = \frac{3}{4} B = 0.75 B \) \( B = \frac{4}{5} C \implies C = \frac{5}{4} B = 1.25 B \) Comparing the values: \( A = 0.75 B \) \( B = 1.00 B \) \( C = 1.25 B \) Clearly, \( C > B > A \). The greatest balance is on card C. We can definitively say "No, B is not the greatest." Statement (II) is sufficient. {Statement (II) is sufficient}
Step 1: Analyzing Statement (I) Equation: \( B + C = 3A \). This provides a relationship between the sum of two cards and the third. However, we have no information about the relative values of B and C. Statement (I) is insufficient.
Step 2: Analyzing Statement (II) Equations: \( B = \frac{4}{3} A \implies A = \frac{3}{4} B = 0.75 B \) \( B = \frac{4}{5} C \implies C = \frac{5}{4} B = 1.25 B \) Comparing the values: \( A = 0.75 B \) \( B = 1.00 B \) \( C = 1.25 B \) Clearly, \( C > B > A \). The greatest balance is on card C. We can definitively say "No, B is not the greatest." Statement (II) is sufficient. {Statement (II) is sufficient}
Was this answer helpful?
0
0
Top TG ICET Analytical Ability Questions
- What is the average of the integers 1, 2, 3, 4, and \(x\)? Statement (I): \(x\) is an even integer. Statement (II): \(x<10\)
- What is the average of \(x,y,z\) and \(t\)? Statement (I): \(x+z=12\) Statement (II): \(y+t=24\)
- What is the sum of the first 30 terms of an Arithmetic Progression? Statement (I): The common difference of the A.P. is 5. Statement (II): The first and the last terms are 2 and 60 respectively.
- In triangle \(ABC\), is \(\angle A\) obtuse? Statement (I): \(\angle C\) is acute. Statement (II): \(\angle B\) is obtuse.
- What is the circumference of the regular hexagon? Statement (I): The radius of the circumcircle of the hexagon is \(6\) cm. Statement (II): Each side of the hexagon subtends an angle of \(60^\circ\) at the centre.
View More Questions
Top TG ICET Data Sufficiency Questions
- What is the average of the integers 1, 2, 3, 4, and \(x\)? Statement (I): \(x\) is an even integer. Statement (II): \(x<10\)
- What is the average of \(x,y,z\) and \(t\)? Statement (I): \(x+z=12\) Statement (II): \(y+t=24\)
- What is the sum of the first 30 terms of an Arithmetic Progression? Statement (I): The common difference of the A.P. is 5. Statement (II): The first and the last terms are 2 and 60 respectively.
- In triangle \(ABC\), is \(\angle A\) obtuse? Statement (I): \(\angle C\) is acute. Statement (II): \(\angle B\) is obtuse.
- What is the circumference of the regular hexagon? Statement (I): The radius of the circumcircle of the hexagon is \(6\) cm. Statement (II): Each side of the hexagon subtends an angle of \(60^\circ\) at the centre.
View More Questions
Top TG ICET Questions
- What is the average of the integers 1, 2, 3, 4, and \(x\)? Statement (I): \(x\) is an even integer. Statement (II): \(x<10\)
- What is the average of \(x,y,z\) and \(t\)? Statement (I): \(x+z=12\) Statement (II): \(y+t=24\)
- What is the sum of the first 30 terms of an Arithmetic Progression? Statement (I): The common difference of the A.P. is 5. Statement (II): The first and the last terms are 2 and 60 respectively.
- In triangle \(ABC\), is \(\angle A\) obtuse? Statement (I): \(\angle C\) is acute. Statement (II): \(\angle B\) is obtuse.
- What is the circumference of the regular hexagon? Statement (I): The radius of the circumcircle of the hexagon is \(6\) cm. Statement (II): Each side of the hexagon subtends an angle of \(60^\circ\) at the centre.
View More Questions