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24 Oct 2014, 08:27
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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:
35%
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Question Stats:
73% (01:56) correct
27%
(02:04)
wrong
based on 388
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Tough and Tricky questions: Decimals.
The value of x is derived by summing a, b, and c and then rounding the result to the tenths place. The value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. If a = 5.45, b = 2.98, and c = 3.76, what is y – x?
A. -0.1
B. 0
C. 0.05
D. 0.1
E. 0.2
24 Oct 2014, 08:38
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Hi Bunuel,
Great question. I found the easiest way to solve this was to Dive In and do the math.
To find x, we first sum a, b, and c, then round to the tenths place. 5.45 + 2.98 + 3.76 = 12.19, which rounds to 12.2.
To find y, we first round a, b, and c to the tenths place and them sum them. so 5.5 + 3.0 + 3.8 = 12.3.
We are looking for y - x, which gives us 12.3 - 12.2 = 0.1, or answer choice D.
Great question. I found the easiest way to solve this was to Dive In and do the math.
To find x, we first sum a, b, and c, then round to the tenths place. 5.45 + 2.98 + 3.76 = 12.19, which rounds to 12.2.
To find y, we first round a, b, and c to the tenths place and them sum them. so 5.5 + 3.0 + 3.8 = 12.3.
We are looking for y - x, which gives us 12.3 - 12.2 = 0.1, or answer choice D.
26 Oct 2014, 19:19
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y - x = 5.5 + 3.0 + 3.8 - (5.45 + 2.98 + 3.76)
y - x = 12.30 - 12.19(\(\approx {12.2})\)
y - x = 12.30 - 12.20 = 0.1
Answer = D
Just note the last digit after decimal
5.45 + 2.98 + 3.76
All are 5 & above, which indicates of upper approximation. This will provide y > x
y - x = 12.30 - 12.19(\(\approx {12.2})\)
y - x = 12.30 - 12.20 = 0.1
Answer = D
Just note the last digit after decimal
5.45 + 2.98 + 3.76
All are 5 & above, which indicates of upper approximation. This will provide y > x
