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)  

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






(                    )




2)  

At a summer picnic, 40 children will participate in a relay race. Each team must be the same size. How many children could be on each team




(                    )




3)  

A warehouse holds 2688 bottles of water. There are the same number of bottles in each aisle. How many aisles could there be





(                    )




4)  

A warehouse holds 1860 bottles of water. There are the same number of bottles in each aisle. How many aisles could there be





(                    )




5)  

 788 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






(                    )




6)  

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






(                    )




7)  

Farmer Kalai has 810 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 Kalai put in each bag





(                    )




8)  

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






(                    )




9)  

At a summer picnic, 70 children will participate in a relay race. Each team must be the same size. How many children could be on each team




(                    )




10)  

A warehouse holds 5880 bottles of water. There are the same number of bottles in each aisle. How many aisles could there be





(                    )




 

1)  

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.



2)  

At a summer picnic, 40 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.



3)  

A warehouse holds 2688 bottles of water. There are the same number of bottles in each aisle. How many aisles could there be




Answer: 2


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.



4)  

A warehouse holds 1860 bottles of water. There are the same number of bottles in each aisle. How many aisles could there be




Answer: 2


SOLUTION 1 :

Reaminder

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



5)  

 788 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: 2


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.



6)  

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: 4


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.



7)  

Farmer Kalai has 810 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 Kalai 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:

810

The units digit is .

The rule says that 810  is divisible by 5.


810 is divisible by 5. Farmer Kalai could put 5 onions in each bag.



8)  

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: 3


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.



9)  

At a summer picnic, 70 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.



10)  

A warehouse holds 5880 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 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.