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The decimal d is formed by writing in succession all the positive inte
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16 Jun 2022, 07:41
16 Jun 2022, 07:41
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The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is d = 0.123456789101112
What is the 100th digit of d to the right of decimal point ?
a) 0
b) 1
c) 5
d) 8
e) 9
What is the 100th digit of d to the right of decimal point ?
a) 0
b) 1
c) 5
d) 8
e) 9
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: The decimal d is formed by writing in succession all the positive inte
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16 Jun 2022, 08:08
16 Jun 2022, 08:08
1
Carcass wrote:
The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is d = 0.123456789101112
What is the 100th digit of d to the right of decimal point ?
a) 0
b) 1
c) 5
d) 8
e) 9
What is the 100th digit of d to the right of decimal point ?
a) 0
b) 1
c) 5
d) 8
e) 9
One-digit numbers:
.123456789
9 digits down, 91 remaining
Two-digit numbers:
With 91 remaining, we can handle 45 TWO-DIGIT NUMBERS (which will accommodate 90 of the required digits)
That is 10, 11, 12, .....54 (55 is next)
So, the 98th digit is 5, the 99th digit is 4, which means the 100th digit will be 5
Answer: C
ASIDE: To determine that there are 45 digits from 10 to 54 inclusive, I used a nice rule that says: the number of integers from x to y inclusive equals y - x + 1
Cheers,
Brent
gmatclubot
Re: The decimal d is formed by writing in succession all the positive inte [#permalink]
16 Jun 2022, 08:08
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