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When the positive number a is rounded to the nearest tenth, the result is the number b. What is the tenths digit of a?

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When the positive number a is rounded to the nearest tenth, the result is the number b.  What is the tenths digit of a?

(1) When a is rounded to the nearest integer, the result is less than a.
(2) When b is rounded to the nearest integer, the result is greater than b.
 
A) Statement 1 is sufficent
B) Statement 2 is sufficent
C) Both combined are sufficient
D) Each alone is sufficient
E) Both Together are not sufficient
 
Official Answer

1 Best Answer

bbatheja
2
Best answer

Rounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, Rounding up the last digit that you keep. If the first dropped digit is 4 or smaller, Rounding down (keep the same) the last digit that you keep.

Assume
a = s.tu,
b = m.n 
for simplicity let us also assume s = m
 
(1) When a is rounded to the nearest integer, the result is less than a
     
       This implies t is less than 4 as per the rule. It can be anything < 4 hence Insufficient
 
(2) When b is rounded to the nearest integer, the result is greater than b.
      
       This implies n >= 5  as per the rule. still we cannot find t.hence Insufficient
 
if we combine above two statements t must be 4 so n must be at the minimum 5 when a is rounded to the nearest tenth. Answer C
 
 
answered Jun 10, 2014 by Associate (172 points)
selected Jun 10, 2014 by
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