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05 Dec 2022, 01:26
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D
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:
60% (01:41) correct
40%
(01:54)
wrong
based on 135
sessions
History
Date
Time
Result
Not Attempted Yet
What is the sum of the different positive factors of 1,024?
A. 1023
B. 1535
C. 2046
D. 2047
E. 2048
Try solving without using any formula.
A. 1023
B. 1535
C. 2046
D. 2047
E. 2048
Try solving without using any formula.
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05 Dec 2022, 01:49
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1024=2^10
Sum of Factors of 1024= 2^0+2^1+2^2+2^3.....2^10
n=11(0 to 10)
This forms a GP with a=2^0=1, ratio= 2
Sum= a(r^n-1)/(r-1)= 1* (2^11-1)/(2-1)= 2048-1/1= 2047
Option D is the answer
Posted from my mobile device
Sum of Factors of 1024= 2^0+2^1+2^2+2^3.....2^10
n=11(0 to 10)
This forms a GP with a=2^0=1, ratio= 2
Sum= a(r^n-1)/(r-1)= 1* (2^11-1)/(2-1)= 2048-1/1= 2047
Option D is the answer
Posted from my mobile device
That's the way! 
