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15 Jul 2015, 03:20
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
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Question Stats:
80% (01:13) correct
20%
(01:19)
wrong
based on 308
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Which of the following MUST yield an integer when divided by 5?
A. The sum of five consecutive positive integers.
B. The square of a prime number.
C. The sum of two odd integers.
D. The product of three consecutive odd numbers.
E. The difference between a multiple of 8 and a multiple of 3.
A. The sum of five consecutive positive integers.
B. The square of a prime number.
C. The sum of two odd integers.
D. The product of three consecutive odd numbers.
E. The difference between a multiple of 8 and a multiple of 3.
15 Jul 2015, 04:02
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A . let numbers be x-2, x-1, x, x+1, x+2; their sum 5x --> Always Divisible
Problems wither options
B. Prime number can be 3,7.
C. again 3+9 = 12
D. 3 consecutive odd integers may be = 17,19,21 (Not divisible by 5)
E. Multiple of 8 : 8x, Multiple of 3 : 3y; Their Difference 8x-3y (Not Necessarily divisible by 5, Only possible if x=y)
Problems wither options
B. Prime number can be 3,7.
C. again 3+9 = 12
D. 3 consecutive odd integers may be = 17,19,21 (Not divisible by 5)
E. Multiple of 8 : 8x, Multiple of 3 : 3y; Their Difference 8x-3y (Not Necessarily divisible by 5, Only possible if x=y)
ENGRTOMBA2018
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15 Jul 2015, 04:47
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Bunuel
Straightforward question:
As this is a MUST be true question, the correct answer MUST stay true for all possible values.
A can be proven as follows : The 5 consecutive integers can be represenetd as : x, x+1, x+2, x+3, x+4 (x can be any positive integer value). Thus their sum = 5x+10 =5(x+2)---> Thus this sum is ALWAYS divisible by 5 and is thus the correct answer.
For proving other statements as false:
B : 2^2 is not divible by 5.
C: 3+11 is not divisble by 5
D: 7*9*11 is not divisible by 5
E: 24-3 is not divisble by 5
