perplexus.info :: Numbers : Pandigitally Powerful

Pandigitally Powerful (Posted on 2010-12-18)

R is a rational number such that 2^123456789 degrees Celsius is precisely equal to R degrees Fahrenheit.

(I) Determine the first two digits (reading left to right) in [R].

(II) Determine the last two digits (reading left to right) in [R].

(III) Determine the first digit (reading left to right) following the decimal point in R.

Note: [x] denotes the greatest integer ≤ x.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(i) 81.
(ii) 33.
(iii) 6.
For an explanation, refer to the solutions submitted by Charlie here and here.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Parts II and III spoilers	James	2020-04-04 09:30:25
Parts II and III spoilers	Charlie	2010-12-18 17:15:35
Getting started, with part (I) (spoiler for that part)	Charlie	2010-12-18 13:35:43

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