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Hoozan
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what is the rightmost non-zero digit in the integer value of 12! 10 Nov 2020, 07:33
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

55% (hard)

Question Stats:

62% (01:38) correct 38% (01:37) wrong based on 380 sessions

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What is the rightmost non-zero digit in the integer value of 12! ?

    A. 1
    B. 2
    C. 4
    D. 6
    E. 8
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D
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what is the rightmost non-zero digit in the integer value of 12! 10 Nov 2020, 11:09
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Hoozan
What is the rightmost non-zero digit in the integer value of 12! ?

    A. 1
    B. 2
    C. 4
    D. 6
    E. 8
Show more


The 12! is a pretty small number and can be dealt directly.

1*2*3*4*5*6*7*8*9*10*11*12
Remove 2*5*10 as they give 0s in the end.
Remove the ones that give you 6.....12*3,6,7*8,4*9– when multiplied, they will give you 6
Remaining 1 and 11 will not affect the units digit
Therefore combined product will give 6 as units digit.

So we have 6 as units digit of 1*2*3*4*5*6*7*8*9*10*11*12

D
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what is the rightmost non-zero digit in the integer value of 12! 10 Nov 2020, 11:48
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Hi,
I got to the right answer after solving it conventionally, any trick for this ?
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what is the rightmost non-zero digit in the integer value of 12! 22 Aug 2022, 07:45
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chetan2u
Hoozan
What is the rightmost non-zero digit in the integer value of 12! ?

    A. 1
    B. 2
    C. 4
    D. 6
    E. 8


The 12! is a pretty small number and can be dealt directly.

1*2*3*4*5*6*7*8*9*10*11*12
Remove 2*5*10 as they give 0s in the end.
Remove the ones that give you 6.....12*3,6,7*8,4*9– when multiplied, they will give you 6
Remaining 1 and 11 will not affect the units digit

Therefore combined product will give 6 as units digit.

So we have 6 as units digit of 1*2*3*4*5*6*7*8*9*10*11*12

D
Show more

Quoting what chetan2u wrote, "Remove the ones that give you 6.....12*3,6,7*8,4*9– when multiplied, they will give you 6
Remaining 1 and 11 will not affect the units digit"

Why did you pair only those that make 6? Can we follow this method for other numbers as well?
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what is the rightmost non-zero digit in the integer value of 12! 22 Aug 2022, 08:09
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Aditi31
chetan2u
Hoozan
What is the rightmost non-zero digit in the integer value of 12! ?

    A. 1
    B. 2
    C. 4
    D. 6
    E. 8


The 12! is a pretty small number and can be dealt directly.

1*2*3*4*5*6*7*8*9*10*11*12
Remove 2*5*10 as they give 0s in the end.
Remove the ones that give you 6.....12*3,6,7*8,4*9– when multiplied, they will give you 6
Remaining 1 and 11 will not affect the units digit

Therefore combined product will give 6 as units digit.

So we have 6 as units digit of 1*2*3*4*5*6*7*8*9*10*11*12

D

Quoting what chetan2u wrote, "Remove the ones that give you 6.....12*3,6,7*8,4*9– when multiplied, they will give you 6
Remaining 1 and 11 will not affect the units digit"

Why did you pair only those that make 6? Can we follow this method for other numbers as well?
Show more

6 to any power will give units digit as 6.
That is, 216*3456*26*6….. will always have a units digit 6.
So, you can cancel out all that give you product with units digit 6 and just keep a 6.
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what is the rightmost non-zero digit in the integer value of 12! 20 Nov 2024, 21:10
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