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Find which of the following numbers are ...

Find which of the following numbers are divisible by 4 :
(i) 360 (ii) 3180
(iii) 5348 (iv) 7756

A

`(i)` and `(ii)`

B

`(iii)` and `(iv)`

C

All

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given numbers are divisible by 4, we will use the rule that states a number is divisible by 4 if the number formed by its last two digits is divisible by 4. Let's check each number step by step. ### Step 1: Check 360 - **Last two digits:** 60 - **Check divisibility:** \[ 60 \div 4 = 15 \] Since 15 is a whole number, 60 is divisible by 4. **Conclusion:** 360 is divisible by 4. ### Step 2: Check 3180 - **Last two digits:** 80 - **Check divisibility:** \[ 80 \div 4 = 20 \] Since 20 is a whole number, 80 is divisible by 4. **Conclusion:** 3180 is divisible by 4. ### Step 3: Check 5348 - **Last two digits:** 48 - **Check divisibility:** \[ 48 \div 4 = 12 \] Since 12 is a whole number, 48 is divisible by 4. **Conclusion:** 5348 is divisible by 4. ### Step 4: Check 7756 - **Last two digits:** 56 - **Check divisibility:** \[ 56 \div 4 = 14 \] Since 14 is a whole number, 56 is divisible by 4. **Conclusion:** 7756 is divisible by 4. ### Final Summary: All the numbers checked are divisible by 4: 1. 360 is divisible by 4. 2. 3180 is divisible by 4. 3. 5348 is divisible by 4. 4. 7756 is divisible by 4. ---
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