Cubes Test

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Cubes Test - 1

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Weekly Quiz Competition

Question 1
3 / -1

The cube root of .000216 is:

A
.6

B
.06

C
77

D
87

Solution
Question 2
3 / -1

Cube root of 0.064 is

A
0.04

B
0.004

C
0.4

D
none of these

Solution

0.064 = 64/1000= 4^3 / 10^3 =(4/10)^3= (2/5)^3
taking cube root of 0.064= 2/5=0.4
Question 3
3 / -1

The cube of any multiple of 2 is always divisible by

A
16

B
12

C
8

D
14

Solution

Cube of multiple of 2 is divisible by 8
eg:
Question 4
3 / -1

What is the smallest number by which 3600 be divided to make it a perfect cube?

A
9

B
50

C
300

D
450

Solution

Prime factorise 3600.
You will get 3600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5
Now group the numbers into groups of 3.
You will get 1 group of 2 and remaining numbers i.e. 2,3,3,5,5
Now multiply these extra numbers
You will get 2 x 3 x 3 x 5 x 5 = 450
So, 3600 divided by 450 = perfect cube (8)
Question 5
3 / -1

Cube of all odd natural numbers is

A
even

B
odd

C
even or odd

D
none of these

Solution

Odd, Any odd number to power 3 will have unit digit odd
Ex. 7^3=3. 49^3=9.
Question 6
3 / -1

(8.01)² + ? = (8.97)² What will approximately come in place of question mark?

A
13

B
14

C
19

D
16

Solution
Question 7
3 / -1

The smallest number by which 5400 must be multiplied so that it become a perfect cube, is

A
2

B
10

C
5

D
3

Solution

Find prime factors of 5400
5400=2×3×3×3×2×2×5×5
If we group them in the group of 3
5400=(2×2×2)×(3×3×3)×5×5
Here to make group of 3 for 5
We have to multiply 5400 by 5.
Question 8
3 / -1

Cube of all even natural numbers is

A
even

B
odd

C
even or odd

D
none of these
Question 9
3 / -1

Cube of a natural number will never end with the digit

A
0

B
1

C
3

D
none of these

Solution

There'd no such digit which can't end in a cube of a natural number. Hence a cube of a natural number can end with any digit.
1³= 1 (ends with 1)
2³= 8 (ends with 8)
3³= 27 (ends with 7)
4³= 64 (ends with 4)
5³= 125 (ends with 5)
6³= 216 (ends with 6)
7³= 343 (ends with 3)
8³= 512 (ends with 2)
9³= 729 (ends with 9)
0³= 0 (ends with 0)
Hence the last digits are 0,1,8,7,4,5,6,3,2,9
Therefore we see every digits are last digits of these cubes. Hence a cube of a natural number can end with any digit.
Question 10
3 / -1

Cube of 0.2 is

A
0.8

B
0.08

C
0.008

D
none of these

Solution

0.2×0.2×0.2=0.008

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Re-Attempt Weekly Quiz Competition

Cubes Test - 1

Result

Cubes Test - 1

Score

-

Rank

-

SHARING IS CARING

Question 1

.6

.06

77

87

Solution

Question 2

0.04

0.004

0.4

none of these

Solution

Question 3

16

12

8

14

Solution

Question 4

9

50

300

450

Solution

Question 5

even

odd

even or odd

none of these

Solution

Question 6

13

14

19

16

Solution

Question 7

2

10

5

3

Solution

Question 8

even

odd

even or odd

none of these

Question 9

0

1

3

none of these

Solution

Question 10

0.8

0.08

0.008

none of these

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

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