A number that has 0, 2, 4, 6 or 8 in its one place is divisible by which of the following?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Concept- We will check the divisibility of numbers, for each number separately to find the divisor.
Case 1 – when it is 0
As we know, we cannot divide any number by zero because the result will be undefined.
Option(1) is incorrect.
Case 2 – when it is 2
That all even numbers are divisible by 2. Thus, when the last digit of a number ends with 0, 2, 4, 6 or 8 then the number is divisible by 2.
Option(2) is correct.
Case 3 – when it is 4
Similarly, a number is divisible by 4 only when the last two digits of the number can be divided by 4. In the question, tenth place is not given so we cannot say that the number that has 0, 2, 4, 6 or 8 in its one’s place is divisible by 4.
Option(3) is incorrect.
Case 4 – when it is 6
A number is divisible by 6, if only the number is divisible by both 2 and 3. The numbers end with 0, 2, 4, 6 or 8 are divisible by 2 but may not be divisible by 3.
Option(4) is incorrect.
Hence, the correct option is (2) .

Watch 3-min video & get full concept clarity