10th Class Mathematics Real Numbers Question Bank Case Based (MCQs) - Real Numbers

What is the number of sweets that can be placed in each stack for this purpose?

A) 45

B) 40

C) 10

D) 35

Correct Answer: C

Solution :

Sol. \[\therefore \] By prime factorisation.

\[420={{2}^{2}}\times 3\times 5\times 7\]and \[130=2\times 5\times 13\]

\[\therefore \,\,\,\,\,\,\,\,\,\,\,HCF\,\,(420,130)=2\times 5\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,HCF\,\,(420,130)\] is 10.

So, option [c] is correct.