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If a is a positive integer and y = 3.2 x 10^a, what is the value of y?

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If a is a positive integer and y = 3.2 x 10^a, what is the value of y? [#permalink]

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New post 29 Dec 2017, 09:17
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If a is a positive integer and \(y = 3.2\) x \(10^a\), what is the value of y?

1. \(400 < y < 30,000\)

2. \(y^2\) \(=\) \(1.024\) x \(10^7\)
[Reveal] Spoiler: OA

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If a is a positive integer and y = 3.2 x 10^a, what is the value of y? [#permalink]

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New post 29 Dec 2017, 09:28
QZ wrote:
If a is a positive integer and \(y = 3.2\) x \(10^a\), what is the value of y?

1. \(400 < y < 30,000\)

2. \(y^2\) \(=\) \(1.024\) x \(10^7\)



Statement I 400<y<30,000 has only 3200 in the range..
320 is less and 32000 is more, so y =3200
Sufficient

Statement II..
Don't waste time in calculating value of y..
Here y will have two values one POSITIVE and other NEGATIVE..
But we are looking for only POSITIVE..
So sufficient

D
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Re: If a is a positive integer and y = 3.2 x 10^a, what is the value of y? [#permalink]

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New post 29 Dec 2017, 09:32
QZ wrote:
If a is a positive integer and \(y = 3.2\) x \(10^a\), what is the value of y?

1. \(400 < y < 30,000\)

2. \(y^2\) \(=\) \(1.024\) x \(10^7\)


Statement 1: \(a\) cannot be \(1\) or \(2\) because in that case \(y=32\) or \(320 <400\) not possible

\(a\) cannot be \(4\) because in that case \(y=32000>30000\) not possible

so \(a=3\) hence \(y=3.2*10^3\). Sufficient

Statement 2: we know \(a\) is positive so \(y>0\)

Take the square root of \(y^2\) and as negative value of \(y\) is not possible so we have only one value for \(y\). Sufficient

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Re: If a is a positive integer and y = 3.2 x 10^a, what is the value of y? [#permalink]

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New post 29 Dec 2017, 09:39
Re: If a is a positive integer and y = 3.2 x 10^a, what is the value of y?   [#permalink] 29 Dec 2017, 09:39
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If a is a positive integer and y = 3.2 x 10^a, what is the value of y?

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