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09 Nov 2014, 07:21
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C
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:
65% (02:13) correct
35%
(02:32)
wrong
based on 421
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a, b are positive integers. The remainder of a to be divided by 8 is 4 and the remainder of b to be divided by 6 is 2.
Which is possible to be the remainder of a*b to be divided by 48
a) 2
b) 6
c) 8
d) 12
e) 20
Which is possible to be the remainder of a*b to be divided by 48
a) 2
b) 6
c) 8
d) 12
e) 20
13 Nov 2014, 01:29
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\(\frac{a}{8}\) >>> Remainder = 4
\(\frac{b}{6}\) >>> Remainder = 2
\(\frac{a*b}{8*6}\) >> As numbers & divisors get multiplied, remainder will also get multiplied
Remainder = 4*2 = 8
Answer = V
\(\frac{b}{6}\) >>> Remainder = 2
\(\frac{a*b}{8*6}\) >> As numbers & divisors get multiplied, remainder will also get multiplied
Remainder = 4*2 = 8
Answer = V
10 Nov 2014, 01:20
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h31337u
The remainder of a to be divided by 8 is 4: a = 8q + 4. a could be 4, 12, 20, 24, ...
The remainder of b to be divided by 6 is 2: b = 6p + 2. b could be 2, 8, 14, 20, ...
If a =4 and b = 2, then ab = 8 and 8 divided by 48 yields the remainder of 8.
Answer: C.
