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MATHS M.C.Q. [1 Marks Each]

Cubes and Cube Roots · Gujarat Board (GSEB) STD 8 (GSEB - English Medium). 10 questions.

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M.C.Q. [1 Marks Each]

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10 questions · timed · auto-graded

MCQ 31 Mark
What is the value of $\frac{\sqrt[3]{64}+\sqrt[3]{125}}{\sqrt[3]{27}} ?$
  • A
    2
  • ✓
    3
  • C
    4
  • D
    9
Answer
Correct option: B.
3
(B) 3
By prime factorisation,
$64=2 \times 2 \times 2 \times 2 \times 2 \times 2$
$\Rightarrow \sqrt[3]{64}=2 \times 2=4$
Now, by prime factorisation,
$125=5 \times 5 \times 5$
$\Rightarrow \sqrt[3]{125}=5$
Again, by prime factorisation,
$27=3 \times 3 \times 3$
$\Rightarrow \sqrt[3]{27}=3$
$\therefore \frac{\sqrt[3]{64}+\sqrt[3]{125}}{\sqrt[3]{27}}=\frac{4+5}{3}=\frac{9}{3}=3$
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MCQ 41 Mark
The cube of a number is divided by the number itself. The result is 36. What is the number?
  • A
    4
  • ✓
    6
  • C
    36
  • D
    216
Answer
Correct option: B.
6
B
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MCQ 71 Mark
The smallest number by which 841 be multiplied so that the product becomes a perfect cube is
  • ✓
    29
  • B
    27
  • C
    25
  • D
    23
Answer
Correct option: A.
29
(A) 29
Given number is 841.
By prime factorisation, we get
29841
2929
1
$841=29 \times 29$
Here, 29 is without group of three.
So, 841 is not a perfect cube.
To make it perfect cube we multiply by 29.
Hence, 29 is the required smallest number.
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MCQ 81 Mark
Which of the following is the cube of an even natural number?
  • A
    1331
  • B
    4913
  • C
    3375
  • ✓
    1728
Answer
Correct option: D.
1728
D
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M.C.Q. [1 Marks Each] - MATHS STD 8 Questions - Vidyadip