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# What is √82,944 ?

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Math Expert
Joined: 02 Sep 2009
Posts: 54493

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08 Jul 2017, 06:02
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Difficulty:

15% (low)

Question Stats:

81% (01:16) correct 19% (01:17) wrong based on 86 sessions

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What is $$\sqrt{82,944}$$ ?

A. 288
B. 294
C. 299
D. 302
E. 307

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Updated on: 08 Jul 2017, 06:10
Has to be A

82944 < (300)^2 do D & E are out
290^2 = 8410 so number has to be less than 290

other clue - number must end with 2 and square of 302 is will gives us number greater than 900,000
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Originally posted by Leo8 on 08 Jul 2017, 06:08.
Last edited by Leo8 on 08 Jul 2017, 06:10, edited 1 time in total.
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Posts: 7579
Re: What is √82,944 ?  [#permalink]

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08 Jul 2017, 06:10
2
Bunuel wrote:
What is $$\sqrt{82,944}$$ ?

A. 288
B. 294
C. 299
D. 302
E. 307

Hi..

Firstly the square root has to be LESS than 300 as 300^2=90000...D and E eliminated.
Next the UNITS digit in SQUARE is 4, so units digit in SQUARE ROOT will be 2 or 8.. as 2*2=4 and 8*8=64
ONLY A fits in ...
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Re: What is √82,944 ?  [#permalink]

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08 Jul 2017, 06:11
2
Bunuel wrote:
What is $$\sqrt{82,944}$$ ?

A. 288
B. 294
C. 299
D. 302
E. 307

$$\sqrt{82,944}$$

Square of digit $$8$$ and $$2$$ end with unit digit $$4$$ .

Hence eliminate the options B, C, and E.

$$300^2 = 90000$$ ----------- (Greater than $$82,944$$)

Hence, $$\sqrt{82,944}$$ = 288

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Re: What is √82,944 ?  [#permalink]

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09 Jul 2017, 10:30
Looks tricky but is indeed an easy question:

82,944 < 90,000 or 300^2; hence options 299,302,307 are out
since the square is ending with a '4' - the units digit must be 8
as 294^2 will have a 6 in units place

therefore Option A is correct

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Re: What is √82,944 ?  [#permalink]

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13 Jul 2017, 05:21
I tried to solve it this way.

What is √82,944 ?

A. 288
B. 294
C. 299
D. 302
E. 307

The sq.root would be less than sq.root of 90000= 300

So Options C,D, and E are out. C because 299 is closer to 300.

Sq.root of 80000 is 280.
And 82944 is closer to 80000 than to 90000.

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Re: What is √82,944 ?  [#permalink]

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16 Jul 2017, 17:31
1
Bunuel wrote:
What is $$\sqrt{82,944}$$ ?

A. 288
B. 294
C. 299
D. 302
E. 307

We are looking for a number that when multiplied by itself has a units digit of 4. Since we are determining the square root of 82,944, the square of that number must be 82,944 and the units digit of that number must be either 2 or 8, since both of these digits when squared has a units digit of 4 (2^2 = 4 and 8^2 = 64). This narrows down to the correct answer to either choice A or D.

We can easily rule out choice D. Note that 300^2 = 90,000, which is too big. We know, therefore, that the correct answer must be less than 300, leaving choice A as the correct answer.

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Re: What is √82,944 ?  [#permalink]

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28 Mar 2019, 03:10
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Re: What is √82,944 ?   [#permalink] 28 Mar 2019, 03:10
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