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Set A includes consecutive integers from -10 to 10 (inclusive)
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10 Sep 2021, 05:00
10 Sep 2021, 05:00
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Set A includes consecutive integers from -10 to 10 (inclusive). 20 integers are randomly selected (repetition is allowed) from the set.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Least possible value of the product of all selected integers |
0 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Set A includes consecutive integers from -10 to 10 (inclusive)
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10 Sep 2021, 05:09
10 Sep 2021, 05:09
2
KarunMendiratta wrote:
Set A includes consecutive integers from -10 to 10 (inclusive). 20 integers are randomly selected (repetition is allowed) from the set.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Least possible value of the product of all selected integers |
0 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Choose nineteen 10's and one -10
So, the product = [(10)^19][-10]
Notice that [(10)^19] is POSITIVE, which means [(10)^19][-10] is NEGATIVE.
So, [(10)^19][-10] = [(10)^19][-1][10]
= -(10)^20
= E
So, we have:
QUANTITY A: -(10)^20
QUANTITY B: 0
Answer: B
General Discussion
Set A includes consecutive integers from -10 to 10 (inclusive)
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18 Sep 2021, 22:54
18 Sep 2021, 22:54
1
GreenlightTestPrep wrote:
KarunMendiratta wrote:
Set A includes consecutive integers from -10 to 10 (inclusive). 20 integers are randomly selected (repetition is allowed) from the set.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Least possible value of the product of all selected integers |
0 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Choose nineteen 10's and one -10
So, the product = [(10)^19][-10]
Notice that [(10)^19] is POSITIVE, which means [(10)^19][-10] is NEGATIVE.
So, [(10)^19][-10] = [(10)^19][-1][10]
= -(10)^20
= E
So, we have:
QUANTITY A: -(10)^20
QUANTITY B: 0
Answer: B
I'm a bit confused when it says "consecutive integers". How can the set contains nineteen 10s and one (-10) if they are consecutive integers?
