Subject
Quantitative Aptitude
Topic
Number
If a positive integer n, divided by 5 has a remainder 2, which of the following must be true?
If a positive integer n, divided by 5 has a remainder 2, which of the following must be true?
ক)
n is oddখ)
n + 1 cannot be a prime numberগ)
(n + 2) divided by 7 has remainder 2ঘ)
n + 3 is divisible by 5Explanation
You can find the integers which when divided by 5 have a remainder 2 by adding 2 to all multiples of 5. So we have n = 7 , 12, 17, 22 etc. From this series we can see that n does not have to be odd. Also n + 1 can be a prime because, for example, 12 + 1 = 13 And (n + 2) / 7 has a remainder 2 in some cases but not all. Remember the question asks us for what MUST be true, and we see that none of the statements are true in all cases. However, adding 3 to any of the values of n will always give a multiple of 5.Related questions
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