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# Which of the following is the second greatest?

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Intern
Joined: 06 Sep 2018
Posts: 34
Which of the following is the second greatest?  [#permalink]

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Updated on: 07 Sep 2018, 21:22
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Difficulty:

55% (hard)

Question Stats:

44% (01:04) correct 56% (01:30) wrong based on 34 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, 19:01.
Last edited by generis on 07 Sep 2018, 21:22, edited 1 time in total.
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Re: Which of the following is the second greatest?  [#permalink]

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07 Sep 2018, 20:41
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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07 Sep 2018, 20:43
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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07 Sep 2018, 21:17
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

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Re: Which of the following is the second greatest? &nbs [#permalink] 07 Sep 2018, 21:17
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