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