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202 divided by some prime number x yields an odd number. 411 multiplie
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21 Feb 2023, 09:31
21 Feb 2023, 09:31
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Question Stats:
72% (01:40) correct
27% (01:19) wrong based on 18 sessions
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202 divided by some prime number x yields an odd number. 411 multiplied by some prime number y yields an even number.
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 |
x |
y |
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.
202 divided by some prime number x yields an odd number. 411 multiplie
[#permalink]
17 Mar 2023, 11:31
17 Mar 2023, 11:31
Expert Reply
OE
An even divided by an odd can never yield an odd quotient. This means the prime number x must be even (because otherwise you’d have 202/odd, which wouldn’t yield an odd quotient). The only even prime number is 2, so x = 2. Similarly, an odd times an odd will always be odd, so y must be even. The only prime even number is 2, so y = 2.
QA = 202/x=odd So 202/2=101 x=2
QB = 411*y= even So 411*2=822 y=2
Both quantities are equal
An even divided by an odd can never yield an odd quotient. This means the prime number x must be even (because otherwise you’d have 202/odd, which wouldn’t yield an odd quotient). The only even prime number is 2, so x = 2. Similarly, an odd times an odd will always be odd, so y must be even. The only prime even number is 2, so y = 2.
QA = 202/x=odd So 202/2=101 x=2
QB = 411*y= even So 411*2=822 y=2
Both quantities are equal
Re: 202 divided by some prime number x yields an odd number. 411 multiplie
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22 Mar 2024, 09:14
22 Mar 2024, 09:14
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