For statement given below, determine whether it is always true, s… - Vidyadip

Question

For statement given below, determine whether it is always true, sometimes true, or never true. Explain your answer. Mention examples and non-examples as appropriate. Justify your claim using algebra.
The sum of a multiple of 6 and a multiple of 9 is a multiple of 3.

✓

Answer

Let the multiple of 6 be 6 a , the multiple of 9 be 9 b .
Sum : $6 a+9 b=3(2 a+3 b) \rightarrow$ clearly divisible by 3 .
Example :
$6+9=15 \rightarrow$ divisible by 3 .
$12+18=30 \rightarrow$ divisible by 3 .
Conclusion : Always true.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Number Play→Number Play — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

A mason is building a house in the shape shown in the diagram. He needs to construct both are outer walls and the inner wall that separates two rooms, To build a wall of 10-feet, he requires approximately 1450 bricks. How many bricks would he need to build the house? Assume all walls are of the same height and thichness.

Find the volume in cubic decimetre of the cubes whose side is: $1.5m$

Expand: $\Big(\frac{\text{x}}{\text{y}}-\frac{\text{y}}{\text{x}}\Big)^2$

Evaluate:
$(218)^2- (217)^2$

Draw the net of a regular hexahedron with side $3\ cm$.(Hint: Regular hexahedron - cube)

Find the surface area of a cube whose edge is: $27\ cm$

The area of the base of a right circular cylinder is 616 $cm^2$ and its height is $2.5\ cm.$ Find the curved surface area of the cylinder.

Justify the statement.
For fixed time period and rate of interest, the simple interest is directly proportional to the principal.

Represent the following numbers on the number line. $\frac{2}{7}$

Using suitable identities, evaluate the following.
$10.1 × 10.2$