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Online Education for Cubes and Cube Roots Class 8 MCQs Questions with Answers
Cube And Cube Roots Class 8 MCQ Question 1.
Which of the following numbers is a perfect cube ?
(a) 125
(b) 36
(c) 75
(d) 100.
Answer
Answer: (a)
Hint:
125 = 5 × 5 × 5 = 5³.
Class 8 Maths Chapter 7 MCQ Question 2.
Which of the following numbers is a cube number ?
(a) 1000
(b) 400
(c) 100
(d) 600.
Answer
Answer: (a)
Hint:
1000 = 10 × 10 × 10 = 10³.
MCQ Questions For Class 8 Maths Chapter 7 Question 3.
Which of the following numbers is not a perfect cube ?
(a) 1331
(b) 512
(c) 343
(d) 100.
Answer
Answer: (d)
Hint:
100 = 2 × 2 × 5 × 5 = 2² × 5².
Class 8 Maths Ch 7 MCQ Question 4.
Which of the following numbers is not a cube number ?
(a) 10000
(b) 3125
(c) 64
(d) 729.
Answer
Answer: (a)
Hint:
10000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5.
= 24 × 54 = 2³ × 2 × 5³ × 5.
Cubes And Cube Roots Class 8 MCQ Question 5.
The cube of an odd natural number is
(a) even
(b) odd
(c) may be even, may be odd
(d) prime number.
Answer
Answer: (b)
Hint:
3 × 3 × 3 = 27 (odd).
MCQ Of Cube And Cube Roots Class 8 Question 6.
The cube of an even natural number is
(a) even
(b) odd
(c) may be even, may be odd
(d) prime number.
Answer
Answer: (a)
Hint:
6 × 6 × 6 = 216 (even).
Class 8 Math Chapter 7 MCQ Question 7.
The one’s digit of the cube of the number 111 is
(a) 1
(b) 2
(c) 3
(d) 9.
Answer
Answer: (a)
Hint:
1 × 1 × 1 = 1.
Class 8 Cube And Cube Roots MCQ Question 8.
The one’s digit of the cube of the number 242 is
(a) 2
(b) 4
(c) 6
(d) 8.
Answer
Answer: (d)
Hint:
2 × 2 × 2 = 8.
Maths Class 8 Chapter 7 MCQ Question 9.
The one’s digit of the cube of the number 123 is
(a) 3
(b) 6
(c) 9
(d) 7.
Answer
Answer: (d)
Hint:
3 × 3 × 3 = 27.
Ch 7 Maths Class 8 MCQ Question 10.
The one’s digit of the cube of the number 144 is
(a) 1
(b) 2
(c) 3
(d) 4.
Answer
Answer: (d)
Hint:
4 × 4 × 4 = 64.
MCQ Questions For Class 8 Maths Cube And Cube Roots Question 11.
The one’s digit of the cube of the number 50 is
(a) 1
(b) 0
(c) 5
(d) 4.
Answer
Answer: (b)
Hint:
0 × 0 × 0 = 0.
MCQ Class 8 Maths Chapter 7 Question 12.
The one’s digit of the cube of the number 326 is
(a) 2
(b) 3
(c) 6
(d) 4.
Answer
Answer: (c)
Hint:
6 × 6 × 6 = 216.
Class 8 Ch 7 Maths MCQ Question 13.
The one’s digit of the cube of the number 325 is
(a) 2
(b) 5
(c) 3
(d) 6.
Answer
Answer: (b)
Hint:
5 × 5 × 5 = 125.
Ncert Class 8 Maths Chapter 7 MCQ Question 14.
The one’s digit of the cube of the number 347 is
(a) 3
(b) 4
(c) 7
(d) 1.
Answer
Answer: (a)
Hint:
7 × 7 × 7 = 343.
MCQ Questions For Class 8 Maths Chapter 7 With Answers Question 15.
The one’s digit of the cube of the number 68 is
(a) 1
(b) 2
(c) 6
(d) 8.
Answer
Answer: (b)
Hint:
8 × 8 × 8 = 512.
Class 8 Maths Cube And Cube Roots MCQ Question 16.
The one’s digit of the cube of the number 249 is
(a) 2
(b) 4
(c) 9
(d) 1.
Answer
Answer: (c)
Hint:
9 × 9 × 9 = 729.
Question 17.
What is the one’s digit in the cube root of the cube number 1331 ?
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (a)
Hint:
1 × 1 × 1 = 1.
Question 18.
What is the one’s digit in the cube root of the cube number 1000000 ?
(a) 0
(b) 1
(c) 2
(d) 9.
Answer
Answer: (a)
Hint:
0 × 0 × 0 = 0.
Question 19.
What is the one’s digit in the cube root of the cube number 1728 ?
(a) 1
(b) 2
(c) 3
(d) 9.
Answer
Answer: (b)
Hint:
2 × 2 × 2 = 8.
Question 20.
What is the one’s digit in the cube root of the cube number 2197 ?
(a) 1
(b) 2
(c) 3
(d) 7.
Answer
Answer: (c)
Hint:
3 × 3 × 3 = 27.
Question 21.
What is the one’s digit in the cube root of the cube number 2744 ?
(a) 1
(b) 2
(c) 3
(d) 4.
Answer
Answer: (d)
Hint:
4 × 4 × 4 = 64.
Question 22.
What is the one’s digit in the cube root of the cube number 3375 ?
(a) 2
(b) 3
(c) 5
(d) 4.
Answer
Answer: (c)
Hint:
5 × 5 × 5 = 125.
Question 23.
What is the one’s digit in the cube root of the cube number 4096 ?
(a) 2
(b) 6
(c) 4
(d) 9.
Answer
Answer: (b)
Hint:
6 × 6 × 6 = 216.
Question 24.
What is the one’s digit in the cube root of the cube number 4913 ?
(a) 7
(b) 9
(c) 3
(d) 6.
Answer
Answer: (a)
Hint:
7 × 7 × 7 = 343.
Question 25.
What is the one’s digit in the cube root of the cube number 5832 ?
(a) 2
(b) 4
(c) 6
(d) 8.
Answer
Answer: (d)
Hint:
8 × 8 × 8 = 512.
Question 26.
What is the one’s digit in the cube root of the cube number 6859 ?
(a) 7
(b) 8
(c) 9
(d) 6.
Answer
Answer: (c)
Hint:
9 × 9 × 9 = 729.
Question 27.
What is the one’s digit in the cube root of the cube number 8000 ?
(a) 0
(b) 2
(c) 4
(d) 8.
Answer
Answer: (a)
Hint:
0 × 0 × 0 = 0.
Question 28.
The number of zeroes at the end of the cube of the number 20 is
(a) 1
(b) 2
(c) 3
(d) 6.
Answer
Answer: (c)
Hint:
∵ Number of zeroes at the end of the number 20 = 1
∴ Number of zeroes at the end of its cube = 3 × 1 = 3.
Question 29.
The number of zeroes at the end of the cube root of the cube number 1000 is
(a) 1
(b) 2
(c) 3
(d) 4.
Answer
Answer: (a)
Hint:
∵ Number of zeroes at the end of the cube = 3
∴ Number of zeroes at the end of the cube root = \(\frac{3}{3}\) = 1.
Question 30.
The number of zeroes at the end of the cube of the number 100 is
(a) 1
(b) 2
(c) 4
(d) 6.
Answer
Answer: (d)
Hint:
∵ Number of zeroes at the end of the number 100 = 2
∴ Number of zeroes at the end of its cube = 3 × 2 = 6.
Question 31.
The number of zeroes at the end of the cube root of the cube number 8000000 is
(a) 1
(b) 2
(c) 3
(d) 6.
Answer
Answer: (b)
Hint:
∵ Number of zeroes at the end of the cube = 6
∴ Number of zeroes at the end of the cube root = \(\frac{6}{3}\) = 2.
Question 32.
Find the smallest number by which the number 108 must be multiplied to obtain a perfect cube.
(a) 2
(b) 3
(c) 4
(d) 5.
Answer
Answer: (a)
Hint:
108 = 2 × 2 × 3 × 3 × 3 = 2 × 2 × 3³.
Question 33.
Find the smallest number by which the number 250 must be divided to obtain a perfect cube.
(o) 2
(b) 3
(c) 4
(d) 5.
Answer
Answer: (a)
Hint:
250 = 5 × 5 × 5 × 2 = 5³ × 2.
Question 34.
Find the smallest number by which the number 72 must be multiplied to obtain a perfect cube.
(a) 2
(b) 3
(c) 4
(d) 6.
Answer
Answer: (b)
Hint:
72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3 × 3.
Question 35.
Find the smallest number by which the number 375 must be divided to obtain a perfect cube.
(a) 2
(b) 3
(c) 5
(d) 4.
Answer
Answer: (b)
Hint:
375 = 3 × 5 × 5 × 5 = 3 × 5³.
Question 36.
Find the smallest number by which the number 100 must be multiplied to obtain a perfect cube.
(a) 5
(b) 2
(c) 4
(d) 10.
Answer
Answer: (d)
Hint:
100 = 2 × 2 × 5 × 5.
Question 37.
Find the smallest number by which the number 10000 must be divided to obtain a perfect cube.
(a) 2
(b) 5
(c) 10
(d) 100
Answer
Answer: (c)
Hint:
10000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5
= 2³ × 2 × 5³ × 5.
Question 38.
Find the smallest number by which the number 200 must be multiplied to obtain a perfect cube.
(a) 2
(b) 10
(c) 5
(d) 100.
Answer
Answer: (c)
Hint:
200 = 2 × 2 × 2 × 5 × 5 = 2³ × 5 × 5.
Question 39.
Find the smallest number by which the number 625 must be divided to obtain a perfect cube.
(a) 3
(b) 5
(c) 25
(d) 125.
Answer
Answer: (b)
Hint:
625 = 5 × 5 × 5 × 5 = 5³ × 5.
Question 40.
Find the smallest number by which the number 128 must be multiplied to obtain a perfect cube.
(a) 2
(b)4
(c) 3
(d) 8.
Answer
Answer: (b)
Hint:
128 = 2 × 2 × 2 × 2 × 2 × 2 × 2
= 2³ × 2³ × 2.
Question 41.
Find the smallest number by which the number 256 must be divided to obtain a perfect cube.
(a) 2
(b) 4
(c) 8
(d) 16.
Answer
Answer: (b)
Hint:
256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 2³ × 2³ × 2 × 2.
Question 42.
Find the smallest number by which the number 36 must be multiphed to obtain a perfect cube.
(a) 6
(b) 2
(c) 3
(d) 4.
Answer
Answer: (a)
Hint:
36 = 2 × 2 × 3 × 3.
Question 43.
Find the smallest number by which the number 1296 must be divided to obtain a perfect cube.
(a) 6
(b) 2
(c) 4
(d) 3.
Answer
Answer: (a)
Hint:
1296 =2 × 2 × 2 × 2 × 3 × 3 × 3 × 3
= 2³ × 2 × 3³ × 3.
Question 44.
Find the smallest number by which the number 392 must be multiplied to obtain a perfect cube.
(a) 3
(b) 5
(c) 7
(d) 6.
Answer
Answer: (c)
Hint:
392 = 2 × 2 × 2 × 7 × 7 = 2³ × 7 × 7.
Question 45.
Find the smallest number by which the number 2401 must be divided to obtain a perfect cube.
(a) 7
(b) 6
(c) 5
(d) 9.
Answer
Answer: (a)
Hint:
2401 = 7 × 7 × 7 × 7 = 7³ × 7.
Question 46.
Find the smallest number by which the number 121 must be multiplied to obtain a perfect cube.
(a) 7
(b) 9
(c) 11
(d) 5.
Answer
Answer: (c)
Hint:
121 = 11 × 11.
Question 47.
Find the smallest number by which the number 88 must be divided to obtain a perfect cube.
(a) 11
(b) 5
(c) 7
(d) 9.
Answer
Answer: (a)
Hint:
88 = 2 × 2 × 2 × 11 = 2³ × 11.
Question 48.
The volume of a cube is 64 cm³. The edge of the cube is
(a) 4 cm
(b) 8 cm
(c) 16 cm
(d) 6 cm.
Answer
Answer: (a)
Hint:
Edge = \(\sqrt[3]{64}\) = \(\sqrt[3]{2 × 2 × 2 × 2 × 2 × 2}\)
= \(\sqrt[3]{2^3×2^3}\) = 2 × 2 = 4.
Question 49.
Apala makes a cuboid of plasticine of sides 5 cm, 4 cm, 2 cm. How many such cuboids will be needed to form a cube ?
(a) 20
(b) 25
(c) 10
(d) 16.
Answer
Answer: (b)
Hint:
Volume = 5 × 4 × 2 = 5 × 2 × 2 × 2
= 5 × 2³.
Question 50.
Which of the following is false ?
(a) Cube of any odd number is odd
(b) A perfect cube does not end with two zeroes
(c) The cube of a single digit number may be a single digit number
(d) There is no perfect cube which ends with 8.
Answer
Answer: (d)
Hint:
1728 = 12³.
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