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Test: Cubes And Cube Roots- 1 - UPSC MCQ


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10 Questions MCQ Test CSAT Preparation - Test: Cubes And Cube Roots- 1

Test: Cubes And Cube Roots- 1 for UPSC 2024 is part of CSAT Preparation preparation. The Test: Cubes And Cube Roots- 1 questions and answers have been prepared according to the UPSC exam syllabus.The Test: Cubes And Cube Roots- 1 MCQs are made for UPSC 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Cubes And Cube Roots- 1 below.
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Test: Cubes And Cube Roots- 1 - Question 1

Find the cube root of 75.

Detailed Solution for Test: Cubes And Cube Roots- 1 - Question 1

∛75 = ∛(4.217 x 4.217 x 4.217)

∛75 = 4.21716

Test: Cubes And Cube Roots- 1 - Question 2

What is the cube of double of ‘a’?

Detailed Solution for Test: Cubes And Cube Roots- 1 - Question 2

Double of a here a+a=2a

So cube of (2a)³=8a³

Test: Cubes And Cube Roots- 1 - Question 3

Which of the following is the cube root of 27000?

Detailed Solution for Test: Cubes And Cube Roots- 1 - Question 3

Test: Cubes And Cube Roots- 1 - Question 4

A natural number is said to be a perfect cube, if it is the cube of some ________.

Detailed Solution for Test: Cubes And Cube Roots- 1 - Question 4

A natural number is said to be a perfect cube if it is the cube of some natural number.
Example
8 = 2 x 2 x 2
8 = 2 3
8 is the perfect cube because it is a cube of 2 which is a natural number.
But 12 is not a perfect cube because it is not a cube of any natural numbers.

Test: Cubes And Cube Roots- 1 - Question 5

36 x K is a perfect cube number, then K = ______

Detailed Solution for Test: Cubes And Cube Roots- 1 - Question 5

6×6=36 and 36×6=216, which is the cube of 6.

Test: Cubes And Cube Roots- 1 - Question 6

Express 6as the sum of odd numbers.

Detailed Solution for Test: Cubes And Cube Roots- 1 - Question 6

We know,

⇒ 31 + 33 + 35 + 37 + 39 + 41 = 216

And the cube of 6 is also 216

⇒ 6 × 6 × 6 = 216

Test: Cubes And Cube Roots- 1 - Question 7

Ones digit of cube of a number depends on the ________ of the number.

Detailed Solution for Test: Cubes And Cube Roots- 1 - Question 7

For example, 11*11*11=121*11
Where one’s digit depends on 1,

121*11=1331 where again one’s digit depends on 1.

Hence one’s digit of a perfect cube of a number depends on one’s digit.

Test: Cubes And Cube Roots- 1 - Question 8

The numbers 1, 8, 27... are ____________.

Detailed Solution for Test: Cubes And Cube Roots- 1 - Question 8

1×1×1 =1  

2×2×2 = 8

3×3×3 = 27

4×4×4 = 64

5×5×5 = 125

Hence all are cubes

Test: Cubes And Cube Roots- 1 - Question 9

Ones place digit in the cube of 5832 is ______.

Detailed Solution for Test: Cubes And Cube Roots- 1 - Question 9

A number ending with 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 0 then it's cube ends with 1 , 8 , 7 , 4 , 5 , 6 , 3 , 2 , 0 respectively  

⇒ One's digit of 5832= 2
⇒ Cube of 2=23 = 8 

So, the one's digit of cube of 5832=8

Test: Cubes And Cube Roots- 1 - Question 10

Find the prime factorisation of 175616.

Detailed Solution for Test: Cubes And Cube Roots- 1 - Question 10

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