Scroll:Whole Numbers >> Division >> saq (525)

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)  

A 3-digit even number can be divided by 10, 11 and 12 exactly.

What is the smallest possible number


Answer:_______________




2)  

A 2-digit even number can be divided by 3, 6 and 9 exactly.

What is the smallest possible number


Answer:_______________




3)  

A 2-digit even number can be divided by 6, 9 and 10 exactly.

What is the smallest possible number


Answer:_______________




4)  

A 3-digit even number can be divided by 2, 9 and 11 exactly.

What is the smallest possible


Answer:_______________




5)  

A 2-digit odd number can be divided by 3, 5 and 9 exactly.

What is the smallest possible number


Answer:_______________




6)  

A 2-digit even number can be divided by 3, 5 and 6 exactly.

What is the smallest possible number


Answer:_______________




7)  

A 2-digit even number can be divided by 4, 8 and 10 exactly.

What is the smallest possible number


Answer:_______________




8)  

A 2-digit even number can be divided by 2, 3 and 5 exactly.

What is the smallest possible


Answer:_______________




9)  

A 2-digit even number can be divided by 6, 8 and 9 exactly.

What is the smallest possible number


Answer:_______________




10)  

A 2-digit even number can be divided by 5, 9 and 10 exactly.

What is the smallest possible number


Answer:_______________




 

1)  

A 3-digit even number can be divided by 10, 11 and 12 exactly.

What is the smallest possible number

Answer: 660


SOLUTION 1 :

Step 1: 10 = 10, 20, 30, 40, 50, 60, ..., 640, 650, 660, 670, 680, …
Step 2: 1 = 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, ..., 616, 627, 638, 649, 660, 671, 682, …
Step 3: 12 = 12, 24, 36, 48, 60, 72, 84, …, 624, 636, 648, 660, 672, 684, …

The smallest possible number is 660.



2)  

A 2-digit even number can be divided by 3, 6 and 9 exactly.

What is the smallest possible number

Answer: 18


SOLUTION 1 :

Step 1: 3 = 3, 6, 9, 12, 15, 18, 21, 24, ...
Step 2: 6 = 6, 12, 18, 24, 30, 36, 42, ...
Step 3: 9 = 9, 18, 27, 36, 45, 54, 63,, ...

The smallest possible number is 18.



3)  

A 2-digit even number can be divided by 6, 9 and 10 exactly.

What is the smallest possible number

Answer: 90


SOLUTION 1 :

Step 1: 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, ...
Step 2: 9 = 9, 18, 27, 36, 45, 54, 63, 72, 90, 99, 108, ...
Step 3: 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...

The smallest possible number is 90.



4)  

A 3-digit even number can be divided by 2, 9 and 11 exactly.

What is the smallest possible

Answer: 198


SOLUTION 1 :

Step 1: 2 = 2, 4, 6, 8, 10, 12, 14, 16, … , 190, 192, 194, 196, 198, 200, 202, ...
Step 2: 9 = 9, 18, 27, 36, 45, 54, 63, 72, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, ...
Step 3: 1 = 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220, ...

The smallest possible number is 198.



5)  

A 2-digit odd number can be divided by 3, 5 and 9 exactly.

What is the smallest possible number

Answer: 45


SOLUTION 1 :

Step 1: 9 = 9, 18, 27, 36, 45, 54, 63, …
Step 2: 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, …
Step 3: 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, …

The smallest possible number is 45.



6)  

A 2-digit even number can be divided by 3, 5 and 6 exactly.

What is the smallest possible number

Answer: 30


SOLUTION 1 :

Step 1: 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...
Step 2: 5 = 5, 10, 15, 20, 25, 30, 35, 40, ...
Step 3: 6 = 6, 12, 18, 24, 30, 36, 42, ...

The smallest possible number is 30.



7)  

A 2-digit even number can be divided by 4, 8 and 10 exactly.

What is the smallest possible number

Answer: 40


SOLUTION 1 :

Step 1: 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, ...

Step 2: 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, …

Step 3: 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...


The smallest possible number is 40.




8)  

A 2-digit even number can be divided by 2, 3 and 5 exactly.

What is the smallest possible

Answer: 30


SOLUTION 1 :

Step 1: multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30

Step 2: multiples of 3 =  3, 6, 9, 12, 15, 18, 21, 24, 27, 30

Step 3: multiples of 5 = 5, 10, 15, 20, 25, 30

The smallest possible number is 30.

 



9)  

A 2-digit even number can be divided by 6, 8 and 9 exactly.

What is the smallest possible number

Answer: 72


SOLUTION 1 :

Step 1: 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, ...
Step 2: 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, …
Step 3: 9 = 9, 18, 27, 36, 45, 54, 63, 72, 90, 99, 108, ...

The smallest possible number is 72.



10)  

A 2-digit even number can be divided by 5, 9 and 10 exactly.

What is the smallest possible number

Answer: 90


SOLUTION 1 :

Step 1: 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80,85, 90, 95, 100, ...
Step 2: 9 = 9, 18, 27, 36, 45, 54, 63, 72, 90, 99, 108, ...
Step 3: 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...

The smallest possible number is 90.