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If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to:

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Bunuel
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If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   28 Jan 2015, 07:50
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A
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E

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Question Stats:

81% (01:12) correct 19% (01:18) wrong based on 341 sessions
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If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to:

A. 19,104
B. 19,303
C. 19,356.732
D. 19,502
E. 19,909
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E
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chetan2u
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   28 Jan 2015, 08:28
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ans E..
Don't get overwhelmed with huge numbers.
As numbers are in some order, the answer will be either A and E as we look for the range.

100<x<199 and 10<y<100
Lowest: x=100 and y=10
Largest: x=199 and y=100
\(100*10<xy<199*100\)
\(1000<xy<19900\)

the values of xy has to be between 1000 and 19900
All options except E are within the given range.

only E is higher than possible values...
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   30 Jan 2015, 03:15
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max value of x - 198
max value of y - 99

max value of xy - 19602

only E is greater
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   30 Jan 2015, 13:40
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Hi vedavyas9,

On Test Day, you have to be very careful about your assumptions.

In this question, we are NOT told that X and Y have to be integers, so you cannot assume that they are.

X could be 198.999999999999etc
Y could be 99.99999999999etc

While this might seem like a nitpick point (as it didn't matter on this question), you WILL be tested on this concept/possibility on Test Day, so you have to remember what restrictions the question gave you (and what it did NOT give you).

GMAT assassins aren't born, they're made,
Rich
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   30 Jan 2015, 22:06
totally forgot that point EMPOWERgmatRichC .
will keep that in mind.

Thank you :)
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   01 Feb 2015, 06:36
EMPOWERgmatRichC wrote:
Hi vedavyas9,

On Test Day, you have to be very careful about your assumptions.

In this question, we are NOT told that X and Y have to be integers, so you cannot assume that they are.

X could be 198.999999999999etc
Y could be 99.99999999999etc

While this might seem like a nitpick point (as it didn't matter on this question), you WILL be tested on this concept/possibility on Test Day, so you have to remember what restrictions the question gave you (and what it did NOT give you).

GMAT assassins aren't born, they're made,
Rich


For the same reason you can just test with

x= 199
y=100

x*y = 19900

still lower than 19909
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   02 Feb 2015, 03:11
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100<x<199
and
10<y<100

Since ALL +ve & same sign , directly multiply,

1000< xy< 19900

The only product which does NOT lie between 1000 and 19900 is E (19,909)
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   02 Feb 2015, 03:27
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Bunuel wrote:
If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to:

A. 19,104
B. 19,303
C. 19,356.732
D. 19,502
E. 19,909

Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:

Correct Answer: (E)

Determine the range of xy by multiplying the two extremes of each individual range together. The smallest value of xy must be greater than 100 * 10. The largest value must be less than 199 * 100. This means that 1000 < xy < 19,900. (E) is outside of this range, so it is not a possible product of xy.
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   04 Feb 2015, 01:54
Maximum possible value of x = 198

Maximum possible value of y = 99

\(xy = 99 * 198 = (100-1)^2 * 2\)

= (10000 - 200 + 1)*2

= 9801 * 2

= 19602

Only option E is out of range

Answer = E
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   28 Apr 2016, 00:56
i have done this question using a simple logic.
the ans has to be E because it is the largest no. if the option would have been d then e would also would have been out of range. We need only one no. out of range and hence E.
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   03 May 2016, 01:27
one quick way that i solved this is to check which is the biggest no. E has to be the only option...for instance if the answer would have been D then E would also have been out of range. We have to select only one option. Hence, E.
Correct me if i'm wrong.
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   03 May 2016, 01:32
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tallyho_88 wrote:
one quick way that i solved this is to check which is the biggest no. E has to be the only option...for instance if the answer would have been D then E would also have been out of range. We have to select only one option. Hence, E.
Correct me if i'm wrong.


Yes your approach is correct BUT ensure that the lowest number is also within the lower limit..
say I gave you a choice as 909 and removed E..
you won't choose the largest here..

so NONE of central values can be the answer..
JUST check for smallest and largest..
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   24 Jul 2016, 03:54
if one factorizes the first option it comes to 2^5 * 3 * 199 = 96 * 199 = 19104
y can be equal to 96 but x cannot be 199 as it has to < 199.

So xy cannot equal 19104 also.
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   29 Jul 2016, 13:37
Highest value => 1000
Lowest value => 199900
Since it does not satisfy the boundary condition => Smash E
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   27 May 2017, 18:29
Should the upper domain of the two sets (X and Y) be equal to 199 and 99, one can have: 199*(100-1)=19900-199=19701 (the Max product of any two number within the two sets.
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   16 Jan 2021, 22:22
If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to:

A. 19,104
B. 19,303
C. 19,356.732
D. 19,502
E. 19,909

It is immediately clear that the answer choices are very large...close to 19900. The inequality suggests that even if x could equal 199 and y could equal 100 (they can't)...the maximum value they can take on is 19900. The only number that clearly defies this logic is 19909.

Answer is E.
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Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: [#permalink] New post   17 Apr 2023, 09:06
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