Scroll:Division >> Divisibility rules >> mcq (3556)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 Is 972 divisible by 4




(                    )




2)  

 Is 375 divisible by 10




(                    )




3)  

 Is 990 divisible by 6




(                    )




4)  

 Is 390 divisible by 10




(                    )




5)  

 Is 605 divisible by 5




(                    )




6)  

 Is 3150 divisible by 3




(                    )




7)  

 Is 938 divisible by 2




(                    )




8)  

 Is 747 divisible by 2




(                    )




9)  

 Is 8838 divisible by 9




(                    )




10)  

 Is 672 divisible by 4




(                    )




 

1)  

 Is 972 divisible by 4



Answer: 1


SOLUTION 1 :

Reaminder

A number is divisible by 4 if the number formed by its last two digits is divisible by 4.

Try the "divisible by 4" rule on 972.

 

Look at the number formed by the last two digits:

The rule says that 972 is  divisible by 4.

 



2)  

 Is 375 divisible by 10



Answer: 1


SOLUTION 1 :

Reaminder

A number is divisible by 10 if its units digit is 0.

Try the "divisible by 10" rule on 375

Look at the units digit:

375

The units digit is not in 0

The rule says that 375 is not divisible by 10.



3)  

 Is 990 divisible by 6



Answer: 1


SOLUTION 1 :

Reaminder

A number is divisible by 6 if it is divisible by both 2 and 3.
It is divisible by 2 if its units digit is 0, 2, 4, 6, or 8.
It is divisible by 3 if the sum of its digits is divisible by 3.

Try the "divisible by 6" rule on 990.

First check if 990 is divisible by 2.

Look at the units digit:

990

So, the number is divisible by 2.

Now check if 990 is divisible by 3.

Find the sum of the digits: a+b+c

 is divisible by 3. So, the number is divisible by 3.

The rule says that 990 is divisible by 6.
 



4)  

 Is 390 divisible by 10



Answer: 1


SOLUTION 1 :

Reaminder

A number is divisible by 10 if its units digit is 0.

Try the "divisible by 10" rule on 390

Look at the units digit:

390

The units digit is 

The rule says that 390 is divisible by 10.



5)  

 Is 605 divisible by 5



Answer: 1


SOLUTION 1 :

Reaminder

A number is divisible by 5 if its units digit is 0 or 5.

Try the "divisible by 5" rule on 605

Look at the units digit:

605

The units digit is 

The rule says that 605 is divisible by 5.



6)  

 Is 3150 divisible by 3



Answer: 2


SOLUTION 1 :

Reaminder

A number is divisible by 3 if the sum of its digits is divisible by 3.

Try the "divisible by 3" rule on 3150

Find the sum of the digits:

a+b+c+d

 is divisible by 3.

The rule says that 3150 is divisible by 3.



7)  

 Is 938 divisible by 2



Answer: 2


SOLUTION 1 :

Reaminder

A number is divisible by 2 if its units digit is 0, 2, 4, 6, or 8.

Try the "divisible by 2" rule on 938

Look at the units digit:

938

The units digit is 

The rule says that 938 is divisible by 2.



8)  

 Is 747 divisible by 2



Answer: 1


SOLUTION 1 :

Reaminder

A number is divisible by 2 if its units digit is 0, 2, 4, 6, or 8.

Try the "divisible by 2" rule on 747

Look at the units digit:

747

The units digit is 

The rule says that 747 is not divisible by 2.



9)  

 Is 8838 divisible by 9



Answer: 2


SOLUTION 1 :

Reaminder

A number is divisible by 9 if the sum of its digits is divisible by 9. .

Try the "divisible by 9" rule on 8838

Find the sum of the digits:

a+b+c+d

 is divisible by 9.

The rule says that 8838 is divisible by 9.



10)  

 Is 672 divisible by 4



Answer: 1


SOLUTION 1 :

Reaminder

A number is divisible by 4 if the number formed by its last two digits is divisible by 4.

Try the "divisible by 4" rule on 672.

 

Look at the number formed by the last two digits:

The rule says that 672 is  divisible by 4.