FOR ASSESSMENT

Which of the following is not true about $\frac{51}{1500}?$

The LCM of two numbers $a^2{b}^3{c}^9{d}^6{e}^{11}$ and $g^5{f}^{21}{a}^3{b}^1{c}^{10},$ where $a, b, c, d, e, f$ are primes, is

The decimal expansion of $\pi =\frac{\mathrm{Circumference} \mathrm{of} \mathrm{the} \mathrm{circle}}{\mathrm{Diameter} \mathrm{of} \mathrm{the} \mathrm{circle}}$ is always

Let $\frac{p}{q}$ be a rational number. Then, the condition on $q$ such that $\frac{p}{q}$ has a non terminating but repeating decimal expansion is

“Note: This question given in the book seems to have errors and the modified question should be as given below.”

Let $\frac{p}{q}$ be a rational number. Then, the condition on $q$ such that $\frac{p}{q}$ has a terminating decimal expansion is

The value of ${}^{\text{'}}a^{\text{'}}$ in the following factor tree is

If $\mathrm{HCF} (306, 657)=9$, then $\mathrm{LCM} (306, 657)$ is

Euclid's division lemma states that for any two positive integers $a$ and $b$ there exist unique integers $q$ and $r$ such that $a=bq+r,$ where $r$ must satisfy

Which of the following is false :