MCQ

MCQ 11 Mark

The volume of a cube is $729\ m^3$. Length of its side is

A
$3\ m$
B
$6\ m$
✓
$9\ m$
D
$27\ m$

Answer

Correct option: C.

$9\ m$

Volume of a cube $=729\ m ^3$
$\therefore$ Side $=\sqrt[3]{729}$

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MCQ 21 Mark

The smallest number by which $686$ should be divided to make it a perfect cube is

A
$1$
✓
$2$
C
$3$
D
$4$

Answer

Correct option: B.

$2$

The smallest number by which $686$
should be divided to make it a perfect cube is $2$.

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MCQ 31 Mark

The smallest number by which $192$ should be multiplied to make it a perfect cube is

✓
$9$
B
$6$
C
$3$
D
$2$

Answer

Correct option: A.

$9$

The smallest number by which $192$
should be multiplied to make it
a perfect cube is $3 \times 3 = 9$

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MCQ 41 Mark

Cube root of $1 \frac{127}{216}$ is

A
$\frac{6}{7}$
B
$\frac{-7}{6}$
✓
$1 \frac{1}{6}$
D
$\frac{-6}{7}$

Answer

Correct option: C.

$1 \frac{1}{6}$

Cube root of $1 \frac{127}{216}$ is $ =\sqrt{\frac{343}{216}}=\sqrt{\frac{7 \times 7 \times 7}{6 \times 6 \times 6}}=\frac{7}{6}=1 \frac{1}{6}$

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MCQ 51 Mark

Cube root of $2744$ is

A
$16$
B
$18$
C
$-14$
✓
$14$

Answer

Correct option: D.

$14$

Cube root of $2744$ is $2 \times 7 = 14.$

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MCQ 61 Mark

Cube root of $-1331$ is

A
$11$
B
$21$
✓
$-11$
D
$-21$

Answer

Correct option: C.

$-11$

Cube root of $-1331$ is $-11$.

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MCQ 71 Mark

Cube of $\left(\frac{-3}{7}\right)$ is

A
$\frac{27}{343}$
✓
$\frac{-27}{343}$
C
$\frac{9}{49}$
D
$\frac{-9}{49}$

Answer

Correct option: B.

$\frac{-27}{343}$

Cube of $\left(\frac{-3}{7}\right)$ is $\frac{-27}{343}$.

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MCQ 81 Mark

Cube of $(-8)$ is

✓
$-512$
B
$512$
C
$-64$
D
$64$

Answer

Correct option: A.

$-512$

Cube of $(-8)$ is $(-512).$

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MCQ 91 Mark

The unit digit of cube of $476$ is

A
$4$
✓
$6$
C
$8$
D
$2$

Answer

Correct option: B.

$6$

The unit digit of cube of $476$ is $6$.

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MCQ 101 Mark

Cube of a negative number is

✓
negative
B
positive
C
negative or positive
D
None of these.

Answer

Correct option: A.

negative

The cube of a negative number is negative.

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