Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
7. n is a positive integer. What is the remainder when n is divided by 6?
(1) n is a multiple of 3. (2) When n is divided by 2, the remainder is 1.
solve and explain
n is a positive integer it can be even or odd. i.e it can be 1,2,3,4,5,6,7,8,...infinity. any number
now lets see what statement 1 has to say. statement 1 means the n is a multiple of 3 that is it can be 3,6,9,12,15,...,upto infinity i.e n=3a where a = 1,2,3,4,5,..infinity. when a is even then n is divisible by 6 and the remainder is 0 .but when a is odd n is divisible by 3 as it is multiple of 3 but not by 2 that is it is not divisible by 6 and we get a remainder equal to 1. so (1) is not sufficient.
similarly(2) is not sufficient. because in 2 we just know that n is a multiple of 2.
When we take (1)&(2) together. then statement 1 says that n is multiple of 3 and statement 3 says that n is multiple of 2 so can say that n is multiple of both 2 & 3 i.e 6. so n is completely divisible by 6. So the answere is (C).