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02 Jun 2021, 05:30
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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:
65%
(hard)
Question Stats:
51% (01:46) correct
49%
(01:44)
wrong
based on 87
sessions
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Is it true that x rounded to the nearest tenth is equal to y rounded to the nearest tenth?
(1) (10x) rounded to the nearest unit is equal to (10y) rounded to the nearest unit.
(2) (x/10) rounded to the nearest hundredth is equal to (y/10) rounded to the nearest hundredth.
(1) (10x) rounded to the nearest unit is equal to (10y) rounded to the nearest unit.
(2) (x/10) rounded to the nearest hundredth is equal to (y/10) rounded to the nearest hundredth.
02 Jun 2021, 06:26
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Solution:
We are asked whether it is true that x rounded to the nearest tenth is equal to y rounded to the nearest tenth or not. It's a yes-no question.
Statement 1: (10x) rounded to the nearest unit is equal to (10y) rounded to the nearest unit.
Let us take an example.
Example: Let 10x = 24.47 and 10y = 24.35
10x rounded to nearest unit = 24 (we checked the tenth digit 4)
10y rounded to nearest unit = 24 (we checked the tenth digit 3)
x = 2.447 rounded to the nearest tenth = 2.4 (we checked the hundredth digit 4)
y = 2.435 rounded to the nearest tenth = 2.4 (we checked the hundredth digit 3)
So, we can see that rounding 10x to the nearest unit is the same as rounding x to the nearest tenth because the significant digit which is checked while rounding remains the same.
Thus, statement 1 alone is sufficient.
Statement 2: (x/10) rounded to the nearest hundredth is equal to (y/10) rounded to the nearest hundredth.
This statement can also be proved sufficient similarly.
Let us take an example.
Example: Let x/10 = 15.647 and y/10 = 19.558
x/10 rounded to the nearest hundredth = 15.65 (we checked the thousandth digit 7)
y/10 rounded to the nearest hundredth = 19.56 (we checked the thousandth digit 8)
x = 156.47 rounded to nearest tenth = 156.5 (we checked the hundredth digit 7)
y = 195.58 rounded to nearest tenth = 195.6 (we checked the hundredth digit 8)
So, we can see that rounding x/10 to the nearest hundredth is the same as rounding x to the nearest tenth because the significant digit which is checked while rounding remains the same.
Thus, statement 2 alone is also sufficient.
Hence the right answer is Option D.
We are asked whether it is true that x rounded to the nearest tenth is equal to y rounded to the nearest tenth or not. It's a yes-no question.
Statement 1: (10x) rounded to the nearest unit is equal to (10y) rounded to the nearest unit.
Let us take an example.
Example: Let 10x = 24.47 and 10y = 24.35
10x rounded to nearest unit = 24 (we checked the tenth digit 4)
10y rounded to nearest unit = 24 (we checked the tenth digit 3)
x = 2.447 rounded to the nearest tenth = 2.4 (we checked the hundredth digit 4)
y = 2.435 rounded to the nearest tenth = 2.4 (we checked the hundredth digit 3)
So, we can see that rounding 10x to the nearest unit is the same as rounding x to the nearest tenth because the significant digit which is checked while rounding remains the same.
Thus, statement 1 alone is sufficient.
Statement 2: (x/10) rounded to the nearest hundredth is equal to (y/10) rounded to the nearest hundredth.
This statement can also be proved sufficient similarly.
Let us take an example.
Example: Let x/10 = 15.647 and y/10 = 19.558
x/10 rounded to the nearest hundredth = 15.65 (we checked the thousandth digit 7)
y/10 rounded to the nearest hundredth = 19.56 (we checked the thousandth digit 8)
x = 156.47 rounded to nearest tenth = 156.5 (we checked the hundredth digit 7)
y = 195.58 rounded to nearest tenth = 195.6 (we checked the hundredth digit 8)
So, we can see that rounding x/10 to the nearest hundredth is the same as rounding x to the nearest tenth because the significant digit which is checked while rounding remains the same.
Thus, statement 2 alone is also sufficient.
Hence the right answer is Option D.
03 Nov 2021, 06:49
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This question is a part of Are You Up For the Challenge: 700 Level Questions collection.
