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GMAT695
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The course grade for a mathematics course consists of 60 percent of 09 Oct 2024, 00:10
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71% (02:12) correct 29% (02:14) wrong based on 627 sessions

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The course grade for a mathematics course consists of 60 percent of the final-exam grade plus 20 percent of each of two preliminary exam grades, where each exam grade is a number from 0 through 100. If a student's course grade must be at least 60 in order for the student to pass the course, did Greg pass the course?

(1) Greg's final-exam grade was greater than 50.
(2) The average (arithmetic mean) of Greg's two preliminary exam grades was greater than 68.

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Bunuel
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The course grade for a mathematics course consists of 60 percent of 09 Oct 2024, 01:48
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The course grade for a mathematics course consists of 60 percent of the final-exam grade plus 20 percent of each of two preliminary exam grades, where each exam grade is a number from 0 through 100. If a student's course grade must be at least 60 in order for the student to pass the course, did Greg pass the course?

(1) Greg's final-exam grade was greater than 50.

This means the final-exam contributed more than 0.6 * 50 = 30 points out of the required 60. Not sufficient.

(2) The average (arithmetic mean) of Greg's two preliminary exam grades was greater than 68.

This implies the sum of the two grades was greater than 2 * 68 = 136, contributing more than 0.2 * 136 = 27.2 points out of the required 60. Not sufficient.

(1) + (2) Together, Greg's course grade would be more than 30 + 27.2 = 57.2. Therefore, the grade could have been less than or greater than 60. Not sufficient.

Answer: E.
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The course grade for a mathematics course consists of 60 percent of 24 Nov 2024, 04:56
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"plus 20 percent of each of two preliminary exam grades" -- why does this not mean 40%?
I.e. 20% of one preliminary exam grade, 20% of the other preliminary exam grade.

It would also make more sense since 60% + 20% + 20% would be 100%?

Bunuel
The course grade for a mathematics course consists of 60 percent of the final-exam grade plus 20 percent of each of two preliminary exam grades, where each exam grade is a number from 0 through 100. If a student's course grade must be at least 60 in order for the student to pass the course, did Greg pass the course?

(1) Greg's final-exam grade was greater than 50.

This means the final-exam contributed more than 0.6 * 50 = 30 points out of the required 60. Not sufficient.

(2) The average (arithmetic mean) of Greg's two preliminary exam grades was greater than 68.

This implies the sum of the two grades was greater than 2 * 68 = 136, contributing more than 0.2 * 136 = 27.2 points out of the required 60. Not sufficient.

(1) + (2) Together, Greg's course grade would be more than 30 + 27.2 = 57.2. Therefore, the grade could have been less than or greater than 60. Not sufficient.

Answer: E.
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The course grade for a mathematics course consists of 60 percent of 24 Nov 2024, 07:29
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GMATtest5566
"plus 20 percent of each of two preliminary exam grades" -- why does this not mean 40%?
I.e. 20% of one preliminary exam grade, 20% of the other preliminary exam grade.

It would also make more sense since 60% + 20% + 20% would be 100%?

Bunuel
The course grade for a mathematics course consists of 60 percent of the final-exam grade plus 20 percent of each of two preliminary exam grades, where each exam grade is a number from 0 through 100. If a student's course grade must be at least 60 in order for the student to pass the course, did Greg pass the course?

(1) Greg's final-exam grade was greater than 50.

This means the final-exam contributed more than 0.6 * 50 = 30 points out of the required 60. Not sufficient.

(2) The average (arithmetic mean) of Greg's two preliminary exam grades was greater than 68.

This implies the sum of the two grades was greater than 2 * 68 = 136, contributing more than 0.2 * 136 = 27.2 points out of the required 60. Not sufficient.

(1) + (2) Together, Greg's course grade would be more than 30 + 27.2 = 57.2. Therefore, the grade could have been less than or greater than 60. Not sufficient.

Answer: E.
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The phrase "plus 20 percent of each of two preliminary exam grades" does not mean 40%. Instead, it means that 20% of the first preliminary exam grade and 20% of the second preliminary exam grade are added separately to the total. These two contributions are treated individually, not combined into one percentage.

For example, if the grades for the two preliminary exams are a and b, the total contribution from these grades is 0.2a + 0.2b, which is not the same as 0.4(a + b).
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The course grade for a mathematics course consists of 60 percent of 24 Nov 2024, 18:04
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Got it! Thanks very much!
Bunuel
GMATtest5566
"plus 20 percent of each of two preliminary exam grades" -- why does this not mean 40%?
I.e. 20% of one preliminary exam grade, 20% of the other preliminary exam grade.

It would also make more sense since 60% + 20% + 20% would be 100%?

Bunuel
The course grade for a mathematics course consists of 60 percent of the final-exam grade plus 20 percent of each of two preliminary exam grades, where each exam grade is a number from 0 through 100. If a student's course grade must be at least 60 in order for the student to pass the course, did Greg pass the course?

(1) Greg's final-exam grade was greater than 50.

This means the final-exam contributed more than 0.6 * 50 = 30 points out of the required 60. Not sufficient.

(2) The average (arithmetic mean) of Greg's two preliminary exam grades was greater than 68.

This implies the sum of the two grades was greater than 2 * 68 = 136, contributing more than 0.2 * 136 = 27.2 points out of the required 60. Not sufficient.

(1) + (2) Together, Greg's course grade would be more than 30 + 27.2 = 57.2. Therefore, the grade could have been less than or greater than 60. Not sufficient.

Answer: E.

The phrase "plus 20 percent of each of two preliminary exam grades" does not mean 40%. Instead, it means that 20% of the first preliminary exam grade and 20% of the second preliminary exam grade are added separately to the total. These two contributions are treated individually, not combined into one percentage.

For example, if the grades for the two preliminary exams are a and b, the total contribution from these grades is 0.2a + 0.2b, which is not the same as 0.4(a + b).
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The course grade for a mathematics course consists of 60 percent of 30 May 2025, 12:15
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For 1+2 Together shouldn't 20% of both Prelim 1 and 20% of Prelim 2 be added,
Bunuel
The course grade for a mathematics course consists of 60 percent of the final-exam grade plus 20 percent of each of two preliminary exam grades, where each exam grade is a number from 0 through 100. If a student's course grade must be at least 60 in order for the student to pass the course, did Greg pass the course?

(1) Greg's final-exam grade was greater than 50.

This means the final-exam contributed more than 0.6 * 50 = 30 points out of the required 60. Not sufficient.

(2) The average (arithmetic mean) of Greg's two preliminary exam grades was greater than 68.

This implies the sum of the two grades was greater than 2 * 68 = 136, contributing more than 0.2 * 136 = 27.2 points out of the required 60. Not sufficient.

(1) + (2) Together, Greg's course grade would be more than 30 + 27.2 = 57.2. Therefore, the grade could have been less than or greater than 60. Not sufficient.

Answer: E.
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Bunuel
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The course grade for a mathematics course consists of 60 percent of 31 May 2025, 11:33
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AditiDeokar
For 1+2 Together shouldn't 20% of both Prelim 1 and 20% of Prelim 2 be added,
Bunuel
The course grade for a mathematics course consists of 60 percent of the final-exam grade plus 20 percent of each of two preliminary exam grades, where each exam grade is a number from 0 through 100. If a student's course grade must be at least 60 in order for the student to pass the course, did Greg pass the course?

(1) Greg's final-exam grade was greater than 50.

This means the final-exam contributed more than 0.6 * 50 = 30 points out of the required 60. Not sufficient.

(2) The average (arithmetic mean) of Greg's two preliminary exam grades was greater than 68.

This implies the sum of the two grades was greater than 2 * 68 = 136, contributing more than 0.2 * 136 = 27.2 points out of the required 60. Not sufficient.

(1) + (2) Together, Greg's course grade would be more than 30 + 27.2 = 57.2. Therefore, the grade could have been less than or greater than 60. Not sufficient.

Answer: E.
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The solution already does that. It uses 0.2 * (Prelim 1 + Prelim 2), which is the same as adding 20% of each: 0.2 * (Prelim 1 + Prelim 2) = 0.2 * Prelim 1 + 0.2 * Prelim 2. Since the average is >68, the total (Prelim 1 + Prelim 2) is >136, so the contribution from the prelims is >27.2.
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