Scroll:Division >> Divisibility rules >> mcq (3557)


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)  

At a summer picnic, 50 children will participate in a relay race. Each team must be the same size. How many children could be on each team




(                    )




2)  

A warehouse holds 4218 bottles of water. There are the same number of bottles in each aisle. How many aisles could there be





(                    )




3)  

Farmer Sriram has 530 onions to sell. He wants to put the same number of onions in each bag without any onions left over. How many onions could Farmer Sriram put in each bag





(                    )




4)  

A T-shirt factory made 7,374 blue T-shirts. The factory put all the T-shirts into packages without any T-shirts left over. How many T-shirts could be in each package






(                    )




5)  

A warehouse holds 6400 bottles of water. There are the same number of bottles in each aisle. How many aisles could there be





(                    )




6)  

 872 people voted in the Stamford City Council election. Each candidate received the exact same number of votes. How many city council candidates could there have been






(                    )




7)  

There are 234 balloons in bags in the party supply warehouse. Each bag contains the same number of balloons. How many bags of balloons could there be






(                    )




8)  

At a summer picnic, 20 children will participate in a relay race. Each team must be the same size. How many children could be on each team




(                    )




9)  

A warehouse holds 3678 bottles of water. There are the same number of bottles in each aisle. How many aisles could there be





(                    )




10)  

Farmer Aravindh has 440 onions to sell. He wants to put the same number of onions in each bag without any onions left over. How many onions could Farmer Aravindh put in each bag





(                    )




 

1)  

At a summer picnic, 50 children will participate in a relay race. Each team must be the same size. How many children could be on each team



Answer: 1


SOLUTION 1 :

Reaminder

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



2)  

A warehouse holds 4218 bottles of water. There are the same number of bottles in each aisle. How many aisles could there be




Answer: 1


SOLUTION 1 :

Reaminder

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

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.

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



3)  

Farmer Sriram has 530 onions to sell. He wants to put the same number of onions in each bag without any onions left over. How many onions could Farmer Sriram put in each bag




Answer: 3


SOLUTION 1 :

Reaminder

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

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

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


Look at the units digit:

530

The units digit is .

The rule says that 530  is divisible by 5.


530 is divisible by 5. Farmer Sriram could put 5 onions in each bag.



4)  

A T-shirt factory made 7,374 blue T-shirts. The factory put all the T-shirts into packages without any T-shirts left over. How many T-shirts could be in each package





Answer: 2


SOLUTION 1 :

Reaminder

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

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

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

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



5)  

A warehouse holds 6400 bottles of water. There are the same number of bottles in each aisle. How many aisles could there be




Answer: 3


SOLUTION 1 :

Reaminder

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



6)  

 872 people voted in the Stamford City Council election. Each candidate received the exact same number of votes. How many city council candidates could there have been





Answer: 3


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.

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

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

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



7)  

There are 234 balloons in bags in the party supply warehouse. Each bag contains the same number of balloons. How many bags of balloons could there be





Answer: 1


SOLUTION 1 :

Reaminder

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

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

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

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



8)  

At a summer picnic, 20 children will participate in a relay race. Each team must be the same size. How many children could be on each team



Answer: 2


SOLUTION 1 :

Reaminder

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



9)  

A warehouse holds 3678 bottles of water. There are the same number of bottles in each aisle. How many aisles could there be




Answer: 1


SOLUTION 1 :

Reaminder

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

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.

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



10)  

Farmer Aravindh has 440 onions to sell. He wants to put the same number of onions in each bag without any onions left over. How many onions could Farmer Aravindh put in each bag




Answer: 2


SOLUTION 1 :

Reaminder

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

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

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


Look at the units digit:

440

The units digit is .

The rule says that 440  is divisible by 5.


440 is divisible by 5. Farmer Aravindh could put 5 onions in each bag.