Question

The LCM of two numbers is $28$ and their HCF is $3.$ If one of the numbers is $7,$ then the other number is

• A. $12$
• B. $14$
• C. $16$
• D. Data inconsistent

Answer 1

The correct option is D Data inconsistent

Given : LCM $=28,$ HCF $=3.$
Let first number be $N_1=7$ and second number be $N_2.$
$\therefore$ LCM $\times$ HCF $=N_1\times N_2$
$\Rightarrow 28\times 3=7\times N_2$
$\Rightarrow N_2=12$
But $3$ is not the HCF of $7$ and $12.$
$\therefore$ Given data is inconsistent.