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.
If a number is not divisible by 18, then it is also not divisible by 9.

✓

Answer

If a number is divisible by 18 , then it is also divisible by 9 because 9 is a factor of 18 . $18 a \div 9=2 a \rightarrow$ divisible by 9 .
But if a number is divisible by 9 , it is not always divisible by 18 . $9 b \div 18= b / 2 \rightarrow$ not divisible by 9 .
Example : 9 is divisible by 9 but not divisible by 18 .
27 is divisible by 9 but not 18 .
Conclusion : Sometimes 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

Solve the following equations :
$3 x=2 x+18$

In a simultaneous throw of a pair of dice, find the probability of getting: $8$ as the sum.

Tanvy bought a watch for $Rs. 1980$ including $VAT$ at $10\%.$ Find the original price of the watch.

Simplify: $(3^{-1}\times4^{-1})^{-1}\times5^{-1}$

Find the remainder when $981547$ is divided by $5.$ Do this without doing actual division.

Solve: $\frac{50}{(\text{x})^2}-\frac{2\text{x}^2}{81}$

Divide as directed: $52pqr\ (p + q) (q + r) (r + p)$ $\div$ $104pq\ (q + r) (r + p)$

$(2x + 5y)2 - 1$

he product of two rational numbers is $\frac{-14}{27}.$ If one of the numbers be $\frac{7}{9}.$ find the other.

Making use of the cube root table, find the cube root $780$