Assertion (A) : The number 90356294 is divisible by `4`.
Reason (R ) : A number with an even digit in the units place is always divisible by `2`.

Options

A. both A and R are true and R is the correct explanation of A
B. both A and R are true but R is not the correct explanation of A
C. A is true but R is false
D. A is false but R is true

Answer

To determine the truth of the assertion (A) and reason (R), we will analyze both statements step by step.

### Step 1: Analyze the Assertion (A)
The assertion states that the number 90356294 is divisible by 4.

**To check divisibility by 4:**
A number is divisible by 4 if the number formed by its last two digits is divisible by 4.

- The last two digits of 90356294 are 94.

**Now, we will divide 94 by 4:**
- 94 ÷ 4 = 23 with a remainder of 2.

Since there is a remainder, 94 is not divisible by 4. Therefore, the assertion (A) is **false**.

### Step 2: Analyze the Reason (R)
The reason states that a number with an even digit in the units place is always divisible by 2.

**To check this statement:**
- The even digits are 0, 2, 4, 6, and 8.
- If a number ends with any of these digits, it is divisible by 2.

For example:
- The number 90356294 ends with 4, which is an even digit.

Since 4 is an even digit, the number 90356294 is indeed divisible by 2. Therefore, the reason (R) is **true**.

### Conclusion
- Assertion (A) is **false**.
- Reason (R) is **true**.

### Final Answer
The assertion is false, and the reason is true.

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