Questions · Page 2 of 2

M.C.Q

MCQ 511 Mark
Which of the following numbers can be represented as non-terminating, repeating decimals?
  • A
    $\frac{39}{24}$
  • B
    $\frac{3}{16}$
  • $\frac{3}{11}$
  • D
    $\frac{137}{25}$
Answer
Correct option: C.
$\frac{3}{11}$
c
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MCQ 521 Mark
If n is a natural number, then $\sqrt{n}$ is
  • A
    always a natural number
  • B
    always a rational number
  • C
    always an irrational number
  • sometimes a natural number and sometimes an irrational number
Answer
Correct option: D.
sometimes a natural number and sometimes an irrational number
d
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MCQ 531 Mark
The number 0.318564318564318564 ………….. Is:
  • A
    a natural number
  • B
    an integer
  • a rational number
  • D
    an irrational number
Answer
Correct option: C.
a rational number
c
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MCQ 541 Mark
Which of the following is rational?
  • A
    $\sqrt{3}$
  • B
    $\pi$
  • C
    $\frac{4}{0}$
  • $\frac{0}{4}$
Answer
Correct option: D.
$\frac{0}{4}$
d
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MCQ 551 Mark
Which of the following is a correct statement?
  • A
    Sum of two irrational numbers is always irrational
  • Sum of a rational and irrational number is always an irrational number
  • C
    Square of an irrational number is always a rational number
  • D
    Sum of two rational numbers can never be an integer
Answer
Correct option: B.
Sum of a rational and irrational number is always an irrational number
b
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MCQ 561 Mark
Which one of the following statements is true?
  • A
    The sum of two irrational numbers is always an irrational number
  • B
    The sum of two irrational numbers is always a rational number
  • The sum of two irrational numbers may be a rational number or an irrational number
  • D
    The sum of two irrational numbers is always an integer
Answer
Correct option: C.
The sum of two irrational numbers may be a rational number or an irrational number
c
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MCQ 571 Mark
Which one of the following is a correct statement?
  • A
    Decimal expansion of a rational number is terminating
  • B
    Decimal expansion of a rational number is non-terminating
  • C
    Decimal expansion of an irrational number is terminating
  • Decimal expansion of an irrational number is non-terminating and non-repeating
Answer
Correct option: D.
Decimal expansion of an irrational number is non-terminating and non-repeating
d
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MCQ 581 Mark
There is a number x such that $x^2$ is irrational but $x^4$ is rational. Then x can be
  • A
    $\sqrt{5}$
  • B
    $\sqrt{2}$
  • C
    $\sqrt[3]{2}$
  • $\sqrt[4]{5}$
Answer
Correct option: D.
$\sqrt[4]{5}$
d
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MCQ 591 Mark
The value of $0 . \overline{2} \times 0 . \overline{5}$ is
  • A
    1
  • B
    $\frac{10}{9}$
  • $\frac{10}{81}$
  • D
    $\frac{10}{99}$
Answer
Correct option: C.
$\frac{10}{81}$
c
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MCQ 601 Mark
The sum of $0 . \overline{2}$ and $0 . \overline{5}$ is
  • A
    $\frac{7}{10}$
  • $\frac{7}{9}$
  • C
    $\frac{7}{99}$
  • D
    $\frac{3}{10}$
Answer
Correct option: B.
$\frac{7}{9}$
b
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MCQ 611 Mark
The product of a non-zero rational number with an irrational number is
  • irrational number
  • B
    rational number
  • C
    whole number
  • D
    natural number
Answer
Correct option: A.
irrational number
a
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MCQ 631 Mark
Which of the following numbers is irrational?
  • A
    $\sqrt{\frac{4}{9}}$
  • B
    $\frac{\sqrt{1250}}{\sqrt{8}}$
  • $\sqrt{8}$
  • D
    $\frac{\sqrt{24}}{\sqrt{6}}$
Answer
Correct option: C.
$\sqrt{8}$
c
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MCQ 641 Mark
The decimal expansion that a rational number cannot have is
  • A
    0.25
  • B
    $0.25 \overline{28}$
  • C
    $0 . \overline{2528}$
  • 0.5030030003...
Answer
Correct option: D.
0.5030030003...
d
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MCQ 651 Mark
How many digits are there in the repeating block of digits in the decimal expansion of $\frac{17}{7}$ ?
  • A
    16
  • 6
  • C
    26
  • D
    7
Answer
Correct option: B.
6
b
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MCQ 661 Mark
The simplest form of $1 . \overline{6}$ is
  • A
    $\frac{8}{5}$
  • $\frac{5}{3}$
  • C
    $\frac{833}{500}$
  • D
    $\frac{7}{6}$
Answer
Correct option: B.
$\frac{5}{3}$
b
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MCQ 671 Mark
The value of $0 . \overline{4}$ in the form $\frac{p}{q}$, where p and q are integers and $q \neq 0$, is
  • $\frac{4}{9}$
  • B
    $\frac{2}{5}$
  • C
    $\frac{1}{5}$
  • D
    $\frac{4}{5}$
Answer
Correct option: A.
$\frac{4}{9}$
a
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MCQ 681 Mark
A number is an irrational if and only if its decimal representation is
  • A
    non-terminating
  • B
    non-terminating and repeating
  • non-terminating and non-repeating
  • D
    terminating
Answer
Correct option: C.
non-terminating and non-repeating
c
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MCQ 691 Mark
The decimal expansion of a rational number is
  • A
    terminating or non-terminating non-repeating
  • terminating or non-terminating repeating
  • C
    terminating and repeating
  • D
    none of these
Answer
Correct option: B.
terminating or non-terminating repeating
b
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MCQ 701 Mark
Which of the following statements is / are correct?
(i) Every integer is a rational number
(ii) Every rational number is an integer
(iii) A real number is either rational or irrational number
(iv) Every whole number is a natural number.
  • A
    (ii)
  • B
    (iii)
  • (i) and (iii)
  • D
    all of these
Answer
Correct option: C.
(i) and (iii)
c
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MCQ 711 Mark
If the some of the rational numbers between 7 and 11 are written in the form $\frac{m}{6}$, then integer values of m lie between
  • A
    42 and 60
  • 42 and 66
  • C
    42 and 77
  • D
    48 and 60
Answer
Correct option: B.
42 and 66
b
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MCQ 721 Mark
Which of the following is true about $1=0 \overline{3}$ ?
  • x is a rational number, because x can be expressed in the form $\frac{p}{q}$, by solving the equation 10x = 3 - x
  • B
    x is a rational number because x can be expressed in the form $\frac{p}{q}$ by solving the equation 10x = 3 - x.
  • C
    x is an irrational number because x can be expressed in the form $\frac{p}{q}$ by solving the equation 10x = 3 - x.
  • D
    x is an irrational number because y can be expressed in the form $\frac{p}{q}$ by solving the equation 10x = 3 - x.
Answer
Correct option: A.
x is a rational number, because x can be expressed in the form $\frac{p}{q}$, by solving the equation 10x = 3 - x
a
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M.C.Q - Page 2 - Maths STD 9 Questions - Vidyadip