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14 Aug 2024, 08:17
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E
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Difficulty:
35%
(medium)
Question Stats:
71% (01:42) correct
29%
(01:33)
wrong
based on 572
sessions
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Adam received a certain monetary amount in bills having only three denominations: $1, $5, and $10. What is the total monetary amount in bills that he received?
(1) The numbers of $1, $5, and $10 bills Adam received, respectively, are in the ratio 3:5:8.
(2) The ratio of the monetary amount Adam received in $1 bills to the monetary amount he received in $10 bills is 3:80.
ID: 700344
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) The numbers of $1, $5, and $10 bills Adam received, respectively, are in the ratio 3:5:8.
(2) The ratio of the monetary amount Adam received in $1 bills to the monetary amount he received in $10 bills is 3:80.
ID: 700344
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
14 Aug 2024, 08:35
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Adam received a certain monetary amount in bills having only three denominations: $1, $5, and $10. What is the total monetary amount in bills that he received?
Let x, y, and z represent the number of $1, $5, and $10 bills, respectively. The goal is to find the value of x + 5y + 10z.
(1) The numbers of $1, $5, and $10 bills Adam received, respectively, are in the ratio 3:5:8.
This implies that x : y : z = 3 : 5 : 8. Therefore, x, y, and z could be 3, 5, 8; 6, 10, 16; and so on. Since multiple values are possible, this information alone is not sufficient.
(2) The ratio of the monetary amount Adam received in $1 bills to the monetary amount he received in $10 bills is 3:80.
This implies that x : 10z = 3 : 80, which simplifies to x : z = 3 : 8. Not sufficient.
(1) + (2) The information given in the second statement is already contained in the first statement (x : z = 3 : 8), so it doesn't add anything new. Since statement (1) alone is not sufficient, combining them doesn't make it sufficient either.
Answer: E.
Let x, y, and z represent the number of $1, $5, and $10 bills, respectively. The goal is to find the value of x + 5y + 10z.
(1) The numbers of $1, $5, and $10 bills Adam received, respectively, are in the ratio 3:5:8.
This implies that x : y : z = 3 : 5 : 8. Therefore, x, y, and z could be 3, 5, 8; 6, 10, 16; and so on. Since multiple values are possible, this information alone is not sufficient.
(2) The ratio of the monetary amount Adam received in $1 bills to the monetary amount he received in $10 bills is 3:80.
This implies that x : 10z = 3 : 80, which simplifies to x : z = 3 : 8. Not sufficient.
(1) + (2) The information given in the second statement is already contained in the first statement (x : z = 3 : 8), so it doesn't add anything new. Since statement (1) alone is not sufficient, combining them doesn't make it sufficient either.
Answer: E.
24 Nov 2025, 00:50
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