Y perfect square

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Y perfect square

by harsh.champ » Tue Feb 09, 2010 5:40 am
What is the value of Y?


A: XXYY is a perfect square.
B:1/Y of the numbers from 1 to 3000000 are divisible by 2 but not by 3.



The soln. is as below:- [Don't peek before trying by yourself :)]
[spoiler]Using statement A:
XXYY = 11(X0Y).
Now, here X0Y has to be a multiple of 11 and obviously
11 (X0Y) is a perfect square.
The value of X0Y has to be 704. No other value of X0Y is
possible.
Hence, the value of Y is 4.
Hence, statement A alone is sufficient to answer the question.
Using statement B:
The number of natural numbers from 1 and 3000000 that are
divisible by 2 but not by 3 can be easily calculated and is a
unique value.
Hence, the value of Y can also be uniquely determined.
Hence, statement B alone is sufficient to answer the question.[/spoiler]
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by shashank.ism » Tue Feb 09, 2010 5:49 am
harsh.champ wrote:What is the value of Y?


A: XXYY is a perfect square.
B:1/Y of the numbers from 1 to 3000000 are divisible by 2 but not by 3.



The soln. is as below:- [Don't peek before trying by yourself :)]
[spoiler]Using statement A:
XXYY = 11(X0Y).
Now, here X0Y has to be a multiple of 11 and obviously
11 (X0Y) is a perfect square.
The value of X0Y has to be 704. No other value of X0Y is
possible.
Hence, the value of Y is 4.
Hence, statement A alone is sufficient to answer the question.
Using statement B:
The number of natural numbers from 1 and 3000000 that are
divisible by 2 but not by 3 can be easily calculated and is a
unique value.
Hence, the value of Y can also be uniquely determined.
Hence, statement B alone is sufficient to answer the question.[/spoiler]
good concept...
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by ajith » Tue Feb 09, 2010 7:20 am
harsh.champ wrote:What is the value of Y?


A: XXYY is a perfect square.
B:1/Y of the numbers from 1 to 3000000 are divisible by 2 but not by 3.

1) XXYY is a perfect square

All the four digit perfect squares have a 2 digit square root.
now the number format is
c(1100) +11d = 11(100c+d)

if the number is divisible by 11, the square root should also be divisible by 11

now the possible numbers are = 33^2, 44^2,55^2,66^2, 77^2,88^2, 99^2

Now I do a trial and error and find that 88^2 = 7744

Sufficient

2) Take the interval 1-6 = only 2 and 4 are divisible by 2 but not by 3
so 1/3 =1/y

y =3 -> sufficient
[spoiler]
D[/spoiler]
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by anki_jain » Tue Feb 23, 2010 7:35 am
how can we have 2 different values for option a and b?

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by ajith » Tue Feb 23, 2010 7:48 am
anki_jain wrote:how can we have 2 different values for option a and b?
In GMAT, in data sufficiency, the options will not contradict. May be, this is not a GMAT problem
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