GMAT Official Guide 2019 Which of the following is closest

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by GMATGuruNY » Fri Jul 06, 2018 1:50 am
BTGmoderatorDC wrote:Which of the following is closest to $$\sqrt{\frac{4.2\left(1,590\right)}{15.7}}$$ ?

A. 20

B. 40

C. 60

D. 80

E. 100
$$\sqrt{\frac{4.2\left(1,590\right)}{15.7}}$$
$$\sqrt{\frac{4\left(1600\right)}{16}}$$
$$\sqrt{\frac{1600}{4}}$$
$$\sqrt{400}$$
$$20$$

The correct answer is A.
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by Brent@GMATPrepNow » Fri Jul 06, 2018 4:36 am
BTGmoderatorDC wrote:Which of the following is closest to $$\sqrt{\frac{4.2\left(1,590\right)}{15.7}}$$ ?

A. 20

B. 40

C. 60

D. 80

E. 100
ALWAYS check the answer choices before solving the question!
When we do so, we see that the answer choices are VERY spread apart, which means we can save a ton of time by being super aggressive with our approximations (aka rounding)

So, we get: √[(4.2)(1590)/15.7 ≈ √[(4)(1600)/16]

≈ √[(4)(100)]

≈ √[400]

≈ 20

Answer: A

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by Shahrukh@mbabreakspace » Fri Jul 06, 2018 5:18 am
√[(4.2)(1590)/15.7= √[(42)(1590)/157
It is approximately = √[(42)*10..Which is closest to 20 amog the options

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by Jeff@TargetTestPrep » Fri Jul 13, 2018 1:23 pm
BTGmoderatorDC wrote:Which of the following is closest to $$\sqrt{\frac{4.2\left(1,590\right)}{15.7}}$$ ?

A. 20

B. 40

C. 60

D. 80

E. 100
We can approximate 4.2 to 4, 1590 to 1600, and 15.7 to 16. So the expression is approximately

√[4(1600)/16] = √[4(100)] = √400 = 20

Answer: A

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