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]
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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Just because something is hard doesn't mean you shouldn't try,it means you should just try harder.
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Just because something is hard doesn't mean you shouldn't try,it means you should just try harder.
"Keep Walking" - Johnny Walker
