Real numbers MCQS (10th classs)

1. 'For given positive integers a and b,there exist unique integers q and r satisfying' What does Euclid’s Division Lemma says?

$a = bq + r, 0 ≤ r < b$
$a = bq + r, r=0$
$a = bq + r, 0 \leq r \leq b$
$a = bq + r, r < b$

2. : HCF of $96$ and $404$. ?

$6$
$2$
$4$
None of above

3. Which of the following is irrational number?

$2$
$\sqrt{4}+2$
$\displaystyle \frac{\sqrt{2}}{2}$
None of above

4. What is LCM of $510$ and $92$ ?

$23450$
$23460$
$23490$
None of above

5. What is the prime factorisation form of $1210$ ?

$2^2\times 5 \times 11$
$2\times 5^2 \times 11$
$2\times 5 \times 11^2$
None of above

6. Is $\sqrt{3+5}$ is irrational?

No
Yes

7. Is $\displaystyle \frac{14588}{1250}$ is Terminating rational number or Non-terminating rational number?

Terminating rational number
Non-terminating rational number

8. $\displaystyle \frac{22}{7}$ is a terminating rational number or non-terminating but repeating rational number ?

terminating rational number
non-terminating but repeating rational number

9. Choose which of the following is rational number ?

$\pi$
$\sqrt{5}$
$\sqrt{4}$
$\sqrt{7}$

10. HCF of $306$ and $657$ is $9$, find LCM of $306$ and $657$?

$22336$
$22466$
$22338$
None of above