Mastering Real Numbers: Class 10 Maths Board Exam Prep Quiz

Q1. Which of the following is a rational number?

Q2. The HCF of $96$ and $404$ using the prime factorization method is:

Q3. If the HCF of $65$ and $117$ is expressible in the form $65m - 117$, then the value of $m$ is:

Q4. The decimal expansion of the rational number $14587/1250$ will terminate after how many decimal places?

Q5. If $p$ and $q$ are two positive integers such that $p = a^3b^2$ and $q = a^2b^3$, where $a$ and $b$ are prime numbers, then LCM $(p, q)$ is:

Q6. Which of the following statements is true?

Q7. Given that HCF $(306, 657) = 9$, then LCM $(306, 657)$ is:

Q8. A number $x$ is called prime if it has exactly two factors, $1$ and $x$. Which of the following is NOT a prime number?

Q9. The largest number which divides $70$ and $125$, leaving remainders $5$ and $8$ respectively, is:

Q10. The product of a non-zero rational number and an irrational number is:

Q11. The least number that is divisible by all numbers from $1$ to $5$ is:

Q12. If $n$ is a natural number, then $6^n - 5^n$ always ends with:

Q13. For some integer $m$, every odd integer is of the form:

Q14. If $2$ is a prime number, then $2\sqrt{2}$ is:

Q15. The decimal expansion of $23 / (2^2 \times 5)$ will terminate after how many places?