to make spot of an elephant we don't need to see the whole body it would be sufficient to observe only trunk (plus if that trunk is moving, we may assume that an elephant is alive, but who knows ... ) //tried to translate into English, if it makes senseAshish8 wrote:Damn didn't see that. Good call.
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product of x and y equals 222
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If any lurkers/posters feel overwhelmed about this question, I approached this question is a less tedious way.
A general property that should be known about multiplying two integers:
EE = even product (e.g. 4 * 8 = 32)
ED = even product (e.g. 3 * 6 = 18)
DD = odd product (e.g. 5 * 7 = 35)
The original question states that y is odd, yet xy (the product) is an even integer.
This means that x must be even.
(1) x is a prime number.
The only even prime number is 2.
(1) is sufficient
y is a three-digit number.
As GMATGuruNY pointed out, there is no condition stated that requires x to be an integer. As a result, there are an infinite number of possibilities. It's worth noting that the question mentioned that x was an integer, the only possible value for y is 111.
(2) is not sufficient
OA = A
[/quote]
Suppose E is any even integer and D is any odd integerIf y is an odd integer and the product of x and y equals 222, what is the value of x?
(1) x is a prime number.
(2) y is a three-digit number.
A general property that should be known about multiplying two integers:
EE = even product (e.g. 4 * 8 = 32)
ED = even product (e.g. 3 * 6 = 18)
DD = odd product (e.g. 5 * 7 = 35)
The original question states that y is odd, yet xy (the product) is an even integer.
This means that x must be even.
(1) x is a prime number.
The only even prime number is 2.
(1) is sufficient
y is a three-digit number.
As GMATGuruNY pointed out, there is no condition stated that requires x to be an integer. As a result, there are an infinite number of possibilities. It's worth noting that the question mentioned that x was an integer, the only possible value for y is 111.
(2) is not sufficient
OA = A
[/quote]
A very tricky quistion and nicely explained by Guru..thanksGMATGuruNY wrote:Given conditions:sanju09 wrote:If y is an odd integer and the product of x and y equals 222, what is the value of x?
(1) x is a prime number.
(2) y is a three-digit number.
xy = 222 = 2*3*37
y is an odd integer
Statement 1: x is prime
If x=2, then y = 3*37 = 111. This combination of values satisfies all the conditions given.
If x=3, then y = 2*37 = 74. Since y must be an odd integer, this combination of values is not allowed.
If x=37, then y = 2*3 = 6. Since y must be an odd integer, this combination of values is not allowed.
Thus, the only value of x that satisfies all the conditions given is x=2.
Sufficient.
Statement 2: y is a 3-digit integer
If y=111, then x=2.
If y=101, then x=222/101.
Since both x=2 and x=222/101 are possible, insufficient.
The correct answer is A.
--------
Ankur mittal
Ankur mittal
I didn't notice y is an odd integer, I misread y is an integer
right answer must be A, I don't know its source
right answer must be A, I don't know its source
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Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
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Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
