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03 May 2023, 07:54
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Difficulty:
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Question Stats:
55% (01:54) correct
45%
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wrong
based on 83
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If a is a decimal, what is the unit digit of 10a?
(A) When a is rounded to the unit's place, the result is 3.
(B) When a is rounded to the tenths place, the result is 3.5
(A) When a is rounded to the unit's place, the result is 3.
(B) When a is rounded to the tenths place, the result is 3.5
03 May 2023, 08:12
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ChandlerBong
Let's represent a = x.pq
10a = xp.q
The unit's digit of 10a is 'p'. Therefore, to answer the question, we have to find an unique value of 'p'.
Statement 1
(A) When a is rounded to the unit's place, the result is 3.
Case 1
- x = 2
- p = Any integer between 5 and 9, both inclusive
Case 2
- x = 3
- p = Any integer between 0 and 4, both inclusive
As we don't have a single value of 'p', the statement alone is not sufficient. Eliminate A and D.
Statement 2
(B) When a is rounded to the tenths place, the result is 3.5
Case 1
- x = 3
- p = 4
- q = Any integer between 5 and 9, both inclusive
Case 2
- x = 3
- p = 5
- q = Any integer between 0 and 4, both inclusive
As we don't have a single value of 'p', the statement alone is not sufficient. Eliminate B.
Combined
- x = 3 (From statement 2)
- p = 4 (From statement 1)
- q = Any integer between 5 and 9, both inclusive
The statements combined help us to obtain an unique value of p.
Option C
03 May 2023, 08:14
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