PSEB 9th Class Maths MCQ Chapter 1 Number Systems

Punjab State Board PSEB 9th Class Maths Book Solutions Chapter 1 Number Systems MCQ Questions with Answers.

PSEB 9th Class Maths Chapter 1 Number Systems MCQ Questions

Answer each question by selecting the proper alternative from those given below each question to make the statement true:

Question 1.
The $\frac{p}{q}$ form of $0 . \overline{6}$ is ……………
A. $\frac{3}{2}$
B. $\frac{2}{3}$
C. $\frac{9}{6}$
D. $\frac{6}{10}$
Answer:
B. $\frac{2}{3}$

Question 2.
The $\frac{p}{q}$ form of $3.1\overline{23}$ is ……………..
A. $\frac{3123}{999}$
B. $\frac{3123}{1000}$
C. $\frac{1546}{495}$
D. $\frac{3123}{990}$
Answer:
C. $\frac{1546}{495}$

Question 3.
The $\frac{p}{q}$ form of $2.\overline{237}$ is ……………
A. $\frac{2235}{999}$
B. $\frac{2235}{99}$
C. $\frac{2237}{990}$
D. $\frac{2237}{1000}$
Answer:
A. $\frac{2235}{999}$

Question 4.
The decimal expression of $\frac{5}{6}$ is ………………… .
A. non-terminating recurring
B. non-terminating non-recurring
C. un-determinate
D. terminating
Answer:
A. non-terminating recurring

Question 5.
(√3 + √2) (√3 – √2) = …………..
A. √3
B. √2
C. 5
D. 1
Answer:
D. 1

Question 6.
6√20 ÷ 2√5 = …………..
A. 6
B. 3
C. 3√5
D. 4√5
Answer:
A. 6

Question 7.
– $\frac{\sqrt{48}}{\sqrt{27}}$ is a/an …………… .
A. Irrational number
B. negative Integer
C. positive Integer
D. rational number
Answer:
D. rational number

Question 8.
(2^{– 2})^{– 3} =
A. 8²
B. 8⁴
C. 15²
D. 15⁴
Answer:
A. 8²

Question 9.
$5^{\frac{3}{4}} \times 5^{\frac{1}{4}}$ = ……….
A. 5
B. 5⁴
C. 5³
D. 5²
Answer:
A. 5

Question 10.
………….. are equivalent rational numbers.
A. $\frac{26}{39}$ and $\frac{51}{34}$
B. $\frac{33}{22}$ and $\frac{65}{52}$
C. $\frac{14}{21}$ and $\frac{27}{18}$
D. $\frac{63}{42}$ and $\frac{69}{46}$
Answer:
$\frac{63}{42}$ and $\frac{69}{46}$

Question 11.
……………… is a rational number between 5 and 6.
A. $\frac{17}{4}$
B. $\frac{17}{3}$
C. $\frac{17}{2}$
D. $\frac{13}{2}$
Answer:
B. $\frac{17}{3}$

Question 12.
The $\frac{p}{q}$ form of $0.3 \overline{5}$ is …………… .
A. $\frac{16}{45}$
B. $\frac{35}{9}$
C. $\frac{35}{99}$
D. $\frac{35}{90}$
Answer:
A. $\frac{16}{45}$

Question 13.
Since $\frac{2}{7}$ = $0 . \overline{285714}$, $\frac{6}{7}$ =
A. $0 . \overline{571428}$
B. $0 . \overline{142857}$
C. $0 . \overline{857142}$
D. $0 . \overline{428571}$
Answer:
C. $0 . \overline{857142}$

Question 14.
√1 + √4 is a/an …………… .
A. natural number
B. irrational number
C. negative number
D. fractional number
Answer:
A. natural number

Question 15.
√2 + √2 is a/an ……………. .
A. Integer
B. irrational number
C. rational number
D. whole number
Answer:
B. irrational number

Question 16.
2 √18 ÷ √50 is a / an …………………. .
A. Integer
B. rational number
C. whole number
D. Irrational number
Answer:
B. rational number

Question 17.
(√3 – √2)² is a/an ………………… number.
A. natural
B. irrational
C. rational
D. whole
Answer:
B. irrational

Question 18.
To rationalize the denominator of $\frac{5}{2-\sqrt{3}}$, it should be multiplied by
A. $\frac{5}{2-\sqrt{3}}$
B. $\frac{5}{\sqrt{3}-2}$
C. $\frac{2+\sqrt{3}}{2+\sqrt{3}}$
D. $\frac{2-\sqrt{3}}{5}$
Answer:
C. $\frac{2+\sqrt{3}}{2+\sqrt{3}}$

Question 19.
$\frac{3}{5+2 \sqrt{2}}$ will be expressed as …………………. with rational denominator.
A. $\frac{15-6 \sqrt{2}}{17}$
B. $\frac{15+6 \sqrt{2}}{17}$
C. $\frac{15+6 \sqrt{2}}{33}$
D. $\frac{15-6 \sqrt{2}}{33}$
Answer:
A. $\frac{15-6 \sqrt{2}}{17}$

Question 20.
If $\sqrt[n]{a^{2}}$ = b, then b²ⁿ = …………………. ;
(a, b > 0, n is a natural number).
A. a
B. $a^{\frac{n}{2}}$
C. a²ⁿ
D. a⁴
Answer:
D. a⁴