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# If A = 10! + 12! + 14! + 16! +............100!, then the highest power

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Senior Manager
Joined: 24 Apr 2016
Posts: 331
If A = 10! + 12! + 14! + 16! +............100!, then the highest power  [#permalink]

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10 Mar 2017, 12:12
2
4
00:00

Difficulty:

65% (hard)

Question Stats:

51% (01:44) correct 49% (01:37) wrong based on 62 sessions

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If A = 10! + 12! + 14! + 16! +............100!, then the highest power of 2 in A is

A. 7

B. 8

C. 9

D. 10

E. 11
Intern
Joined: 12 Feb 2017
Posts: 17
GMAT 1: 740 Q50 V40
If A = 10! + 12! + 14! + 16! +............100!, then the highest power  [#permalink]

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10 Mar 2017, 13:54
2
1
Lets take 10! common
10!( 1 + 11*12 + 11*12*13 + .....)

Since in bracket we have 11*12 + 11*12*13 + ..... ) which will be an even number, adding 1 to it will result in an odd number, so no multiple of 2

So we are left with (10! * some odd number )

10! Has 2 eight times

So ans should be B

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Joined: 09 Sep 2013
Posts: 9461
Re: If A = 10! + 12! + 14! + 16! +............100!, then the highest power  [#permalink]

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17 May 2018, 09:55
Hello from the GMAT Club BumpBot!

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Re: If A = 10! + 12! + 14! + 16! +............100!, then the highest power &nbs [#permalink] 17 May 2018, 09:55
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