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

Cube and Cube Roots · Bihar Board (BSEB) STD 8 (BSEB - English Medium). 230 questions.

Questions · Page 5 of 5

M.C.Q. [1 Marks Each]

MCQ 2041 Mark
 How many cuboids of dimensions $15\ cm, 30\ cm ,15\ cm$ will be needed to form a cube?
  • A
    $15$
  • ✓
    $4$
  • C
    $30$
  • D
    $5$
Answer
Correct option: B.
$4$
$4$
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MCQ 2051 Mark
 A cuboid has dimensions $5\ cm , 2\ cm, 5\ cm$ .How many such cuboid will be needed to form a cube?
  • ✓
    $20$
  • B
    $10$
  • C
    $5$
  • D
    $2$
Answer
Correct option: A.
$20$
$20$
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MCQ 2061 Mark
What will be the unit digit of the cube of a number ending with $6$?
  • A
    $4$
  • ✓
    $6$
  • C
    $2$
  • D
    $8$
Answer
Correct option: B.
$6$
$6$
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MCQ 2071 Mark
 What will be the unit digit of the cube of a number ending with $4$?
  • ✓
    $4$
  • B
    $6$
  • C
    $2$
  • D
    $8$
Answer
Correct option: A.
$4$
$4$
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MCQ 2081 Mark
What will be the unit digit of the cube of a number ending with $2$?
  • ✓
    $8$
  • B
    $4$
  • C
    $2$
  • D
    $6$
Answer
Correct option: A.
$8$
$1$
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MCQ 2091 Mark
The expansion of $\mathrm{a}^{3}$ is
  • A
    $3 \times a$
  • B
    $a+a+a$
  • C
    $3 \times 3 \times 3$
  • ✓
    $a \times a \times a$
Answer
Correct option: D.
$a \times a \times a$
$a \times a \times a$
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MCQ 2101 Mark
 The smallest natural number by which $135$ must be divided to obtain a perfect cube is
  • ✓
    $5$
  • B
    $3$
  • C
    $15$
  • D
    $9$
Answer
Correct option: A.
$5$
$5$
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MCQ 2111 Mark
The smallest natural number by which $704$ must be divided to obtain a perfect cube is
  • A
    $22$
  • B
    $12$
  • ✓
    $11$
  • D
    $13$
Answer
Correct option: C.
$11$
$11$
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MCQ 2121 Mark
The smallest natural number by which $243$ must be multiplied to make the product a perfect cube is __________ .
  • ✓
    $3$
  • B
    $9$
  • C
    $8$
  • D
    $7$
Answer
Correct option: A.
$3$
$3$
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MCQ 2131 Mark
By which smallest natural number $392$ must be multiplied so as to make the product a perfect cube?
  • A
    $2$
  • B
    $14$
  • ✓
    $7$
  • D
    $49$
Answer
Correct option: C.
$7$
$7$
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MCQ 2141 Mark
 Which of the following is Hardy-Ramanujan Number?
  • A
    $1724$
  • B
    $1725$
  • C
    $1727$
  • ✓
    $1729$
Answer
Correct option: D.
$1729$
$1729$
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MCQ 2161 Mark
The cube of an odd number is always __________ .
  • ✓
    odd number
  • B
    even number
  • C
    prime number
  • D
    none of these
Answer
Correct option: A.
odd number
odd number
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MCQ 2171 Mark
 The cube of an even number is always ____________ .
  • A
    odd number
  • ✓
    even number
  • C
    prime number
  • D
    none of these
Answer
Correct option: B.
even number
even number
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MCQ 2211 Mark
 Cube root of $15625$ is:
  • A
    $5$
  • B
    15
  • ✓
    $25$
  • D
    $35$
Answer
Correct option: C.
$25$
$15625=5 \times 5 \times 5 \times 5 \times 5 \times 5$ $^3 \sqrt{15625}=5 \times 5=25$
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MCQ 2221 Mark
 A perfect cube does not end with _____ zeros.
  • A
    $1$
  • ✓
    $2$
  • C
    $3$
  • D
    $4$
Answer
Correct option: B.
$2$
$10^{3}=1000$ $20^{3}=8000$ $30^{3}=27000$
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MCQ 2231 Mark
The value of $4^{3} \sqrt{1000 \text { is: }}$
  • A
    $400$
  • ✓
    $40$
  • C
    $10$
  • D
    $4$
Answer
Correct option: B.
$40$
$\left.4^{3} \sqrt{1000}=4^{3} \sqrt{(} 10 \times 10 \times 10\right)=4 \times 10=40$
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MCQ 2241 Mark
What should be divided by $53240$ to make it a perfect cube?
  • ✓
    $5$
  • B
    $10$
  • C
    $15$
  • D
    $20$
Answer
Correct option: A.
$5$
$53240=2 \times 2 \times 2 \times 11 \times 11 \times 11 \times 5=2^{3} \times 11^{3} \times 5$
Hence, we need to divide $53240$ by $5$. $53240 / 5=10648$ is a perfect cube.
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MCQ 2251 Mark
Cube root of $512$ is:
  • A
    $4$
  • B
    $6$
  • ✓
    $8$
  • D
    $12$
Answer
Correct option: C.
$8$
By prime factorisation we get: $512=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$
$^3 \sqrt{5} 12=2 \times 2 \times 2=8$
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MCQ 2261 Mark
 By what number should we divide $135$ to get a perfect cube?
  • A
    $3$
  • ✓
    $5$
  • C
    $7$
  • D
    $9$
Answer
Correct option: B.
$5$
$135 = 3 x 3 x 3 x 5$ We can see, $5$ is the extra number which cannot be paired in a group of $3$. Hence, $135/5 = 27$
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MCQ 2271 Mark
By what number should 81 be divided to get a perfect cube?
  • ✓
    $3$
  • B
    $6$
  • C
    $7$
  • D
    $9$
Answer
Correct option: A.
$3$
The prime factorisation of 81 will be: $81=3 \times 3 \times 3 \times 3$ $81=3^{3} \times 3$ Hence, we need to divide $81$ by $3$ to get: $81 / 3=27=3^{3}$
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MCQ 2281 Mark
 Which of the following is not a perfect cube?
  • A
    $216$
  • B
    $1000$
  • ✓
    $243$
  • D
    $1331$
Answer
Correct option: C.
$243$
$243=3 \times 3 \times 3 \times 3 \times 3=3^{3} \times 3^{2}$
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MCQ 2291 Mark
The prime factorisation of $64$ is:
  • A
    $2 \times 2 \times 2$
  • ✓
    $4 \times 4 \times 4$
  • C
    $8 x 8 x 8$
  • D
    None of the above
Answer
Correct option: B.
$4 \times 4 \times 4$
$64=4^{3}=4 \times 4 \times 4$
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MCQ 2301 Mark
 The one’s digit of the cube of $53$ is:
  • A
    $9$
  • B
    $3$
  • ✓
    $7$
  • D
    $1$
Answer
Correct option: C.
$7$
$53^{3}=53 \times 53 \times 53$ $3^{3}=3 \times 3 \times 3=27$ Hence, at unit place we will get $7$ . Recheck: $53^{3}=53 \times 53 \times 53=148877$
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M.C.Q. [1 Marks Each] - Page 5 - MATHS STD 8 Questions - Vidyadip