Cubes And Cube Roots Test

Result

Cubes And Cube Roots Test - 1

Score
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Rank
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Weekly Quiz Competition

Question 1
1 / -0

What is the unit digit of (23173)³ + (743129)³?

A
9

B
7

C
2

D
6

Solution

Unit digit of (23173)³ = Unit digit of 3³ = 7

Unit digit of (743129)³ = Unit digit of 9³ = 9

Adding unit digits,
7 + 9 = 16
The unit digit of (23173)³ + (743129)³ = 6
Question 2
1 / -0

If 343z⁴ = z⁷, the value of z is

A
1

B
5

C
7

D
9

Solution

343z⁴ = z⁷

343 = z⁷ ÷ z⁴

343 = z^(7-4)

343 = z³

z = 7
Question 3
1 / -0

The cube of a three-digit number will contain

A
5 digits

B
6 digits

C
5 or 6 digits

D
7, 8 or 9 digits

Solution

Three-digit numbers range from 100 to 999.
Cube of 100 = 10,00,000
Cube of 999 = 99,70,02,999
Hence, number of digits will range from 7 to 9.
Question 4
1 / -0

The cube of an even natural number is always

A
even

B
odd

C
even or odd

D
can't say

Solution

The cube of an even natural number is always even.
For example:
Cube of 2 = 2 × 2 × 2 = 8
Cube of 4 = 4 × 4 × 4 = 64
Cube of 6 = 6 × 6 × 6 = 216 and so on.