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06 Jul 2023, 07:45
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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:
64% (01:51) correct
36%
(01:18)
wrong
based on 273
sessions
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If the distances between consecutive ticks in the above number line are the same, which of the following points represents \(2^{11}\)?
A. A
B. B
C. C
D. D
E. E
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06 Jul 2023, 11:07
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If the distances between consecutive ticks in the above number line are the same, which of the following points represents 2^11?
A. A
B. B
C. C
D. D
E. E
2^9= 2^8 X 2= (2^4)^2 X2= (16^2)X2=256X2=512
2^10=(2^5)^2=32^2=1024
The distance between 2^10 and 2^9= 1024-512=512
512/2=256---the midway distance between 2^10 and 2^9
2^11= (2^10)X2=(2^5)^2 X2=(32^2)X2=1024X2=2048
The distance between 2^10 and 2^11= 2048-1024=1024
Since the distances between consecutive ticks in the number line are the same,
The distance between 2^10 and B= 512. To cover remaining 512, we need to move till D
Option D is the correct answer
A. A
B. B
C. C
D. D
E. E
2^9= 2^8 X 2= (2^4)^2 X2= (16^2)X2=256X2=512
2^10=(2^5)^2=32^2=1024
The distance between 2^10 and 2^9= 1024-512=512
512/2=256---the midway distance between 2^10 and 2^9
2^11= (2^10)X2=(2^5)^2 X2=(32^2)X2=1024X2=2048
The distance between 2^10 and 2^11= 2048-1024=1024
Since the distances between consecutive ticks in the number line are the same,
The distance between 2^10 and B= 512. To cover remaining 512, we need to move till D
Option D is the correct answer
10 Feb 2026, 23:50
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Just calculate the common difference between 2^9, d, 2^10
From here we can calculate the position of 2^11, which is D
From here we can calculate the position of 2^11, which is D
