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# Which of the following is the closest approximation to

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Math Expert
Joined: 02 Sep 2009
Posts: 64243
Which of the following is the closest approximation to  [#permalink]

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16 Jun 2019, 23:50
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Difficulty:

85% (hard)

Question Stats:

44% (02:02) correct 56% (02:16) wrong based on 98 sessions

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Which of the following is the closest approximation to $$[\sqrt{73} * \sqrt{239}] ÷ [\sqrt{7.2} + \sqrt{15.7}]$$?

A. 10
B. 15
C. 20
D. 25
E. 30

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Re: Which of the following is the closest approximation to  [#permalink]

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17 Jun 2019, 08:08
1
$$[\sqrt{73} * \sqrt{239}] ÷ [\sqrt{7.2} + \sqrt{15.7}] 8*15/(2+4) = 20 IMO C Bunuel wrote: Which of the following is the closest approximation to [m][\sqrt{73} * \sqrt{239}] ÷ [\sqrt{7.2} + \sqrt{15.7}]$$?

A. 10
B. 15
C. 20
D. 25
E. 30
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Re: Which of the following is the closest approximation to  [#permalink]

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17 Jun 2019, 12:12
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1
Here we have can see that √ of 73 is close to 81 rather than 64 so the closest value for it would be 9. Similarly √ of 239 is closest to the value of √ of 225, i.e 15.

Hence 9*15/2+4 = 19.28 which is closest to 20. So IMO : it's C
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Re: Which of the following is the closest approximation to  [#permalink]

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19 Jun 2019, 17:37
Bunuel wrote:
Which of the following is the closest approximation to $$[\sqrt{73} * \sqrt{239}] ÷ [\sqrt{7.2} + \sqrt{15.7}]$$?

A. 10
B. 15
C. 20
D. 25
E. 30

15.5 x 8.5 = 131.75 or about 130

3 + 4 = 7

Thus,

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Re: Which of the following is the closest approximation to  [#permalink]

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07 Aug 2019, 21:49
1
Bunuel wrote:
Which of the following is the closest approximation to $$[\sqrt{73} * \sqrt{239}] ÷ [\sqrt{7.2} + \sqrt{15.7}]$$?

A. 10
B. 15
C. 20
D. 25
E. 30

I calculated the lowest and highest possible values of the expressions.
Lowest means (8*15)/(2+3) and highest means (9*16)/(3+4). The results are 24 and 20.XX. So the closest approximation is 20.

P.S: 25 cannot be the answer as the max value is 24 so C it is
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Re: Which of the following is the closest approximation to   [#permalink] 07 Aug 2019, 21:49