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Which of the following is the second greatest?

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Which of the following is the second greatest?  [#permalink]

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New post Updated on: 07 Sep 2018, 20:22
2
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A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

48% (01:19) correct 52% (01:42) wrong based on 39 sessions

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Which of the following is the second greatest?

A) \(.000008\)

B) \(8*10^{-8}\)

C) \(8 ÷ 10^5\)

D) \(\frac{.0008}{1000}\)

E) \(88 ÷ 10^6\)

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Originally posted by HasnainAfxal on 07 Sep 2018, 18:01.
Last edited by generis on 07 Sep 2018, 20:22, edited 1 time in total.
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Re: Which of the following is the second greatest?  [#permalink]

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New post 07 Sep 2018, 19:41
Hasnain786 wrote:
Which of the following is the second greatest?

A) \(.000008\)
B) \(8*10^-^8\)
C) \(8 ÷ 10^5\)
D) \(\frac{.0008}{1000}\)
E) \(88 ÷ 10^6\)


Let's write all the numbers in \(a*10^b\) form:

A. \(.000008\)=\(8*10^{-6}\)
B. \(8*10^{-8}\)
C. \(8 ÷ 10^5\)=\(8*10^{-5}\)
D. \(\frac{.0008}{1000}\)=\(8*10^{-4}*10^{-3}\)=\(8*10^{-7}\)
E. \(88 ÷ 10^6\)=\(8.8*10^{-5}\)

Descending order of magnitude: E>C>A>D>B

Ans. (C)
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Re: Which of the following is the second greatest?  [#permalink]

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New post 07 Sep 2018, 19:43
Which of the following is the second greatest?

get all of them in form 8*10^{-x}
A) \(.000008=8*10^{-6}\)
B) \(8*10^-^8=8*10^{-8}\)
C) \(8 ÷ 10^5=\frac{8}{10^5}=8*10^{-5}\)
D) \(\frac{.0008}{1000}=8*10^{-7}\)
E) \(88 ÷ 10^6=8.8*10^{-5}\)

So the choices in descending order : E, C, A, D, B

So Ans is C
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
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Re: Which of the following is the second greatest?  [#permalink]

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New post 07 Sep 2018, 20:17
Hasnain786 wrote:
Which of the following is the second greatest?

A) \(0.000008\)
B) \(8*10^{-8}\)
C) \(8 ÷ 10^5\)
D) \(\frac{.0008}{1000}\)
E) \(88 ÷ 10^6\)

Rewrite each option. I think decimals are easier.

Given \(10^{-x}\), \(x\) = the number of digits to the right of the decimal

A) \(0.000008\)

B) \(8*10^{-8}=0.00000008\)

C) \(8 ÷ 10^5=\frac{8*10^0}{10^5}=\)
\(8*10^{(0-5)}=8*10^{-5}=.00008\)

D) \(\frac{.0008}{1000}=\frac{8*10^{-4}}{10^3}=\)
\(8*10^{(-4-3)}=8*10^{-7}=0.0000008\)

E) \(88 ÷ 10^6=(\frac{88*10^0}{10^6})=\)
\(88*10^{(0-6)}=88*10^{-6}=0.000088\)

A) 0.000008
B) 0.00000008
C) 0.00008
D) 0.0000008
E) 0.000088

Compare each decimal place.
E > C > A > D > B

C is second greatest

Answer (C)
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Re: Which of the following is the second greatest?   [#permalink] 07 Sep 2018, 20:17
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Which of the following is the second greatest?

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