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Chapter 1: Q. 1.1 (page 7)

Is 4,962 divisible by (a) 2 ? (b) 3 ? (c) 5 ? (d) 6 ? (e) 10 ?

Short Answer

Expert verified

The number 4,962 is divisible by option (a) 2, (b) 3 and (d) 6

Step by step solution

01

Step 1. Given information.

The number given is 4,962.

We have to check, by which number 4,962 is divisible out of the given options.

02

Step 2. Checking for option (a)

The number 4,962 ends with 2.

Therefore, it is divisible by 2.

03

Step 3. Checking for option (b)

The sum of the digits of 4,962 is

4+9+6+2=21

21 is divisible by 3.

Thus, 4,962 is divisible by 3.

04

Step 4. Checking for option (c)

The number 4,962 does not end with 0 or 5.

Therefore, it is not divisible by 5.

05

Step 5. Checking for option (d)

The number is divisible by both 2 and 3.

Therefore, 4,962 is divisible by 6.

06

Step 6. Checking for option (e)

The number 4,962 does not end with 0.

Therefore, it is not divisible by 10.

07

Step 7. Conclusion

From the above steps we can observe that the given number 4,962 is divisible by 2,3 and 6. Therefore, the correct options will be (a), (b), and (d).

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In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10.

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