Arrange the following in the descending order 23 - 21 ) , ( 19 - 17 ) , ( 21 - 19 .

19 - 17 ) > ( 21 - 19 ) > ( 23 - 21

23 - 21 ) > ( 21 - 19 ) > ( 19 - 17

23 - 21 ) > ( 19 - 17 ) > ( 21 - 19

21 - 19 ) > ( 23 - 21 ) > ( 19 - 17

EASY

Earn 100

By what least number, $3600$ is to be divided to get a perfect cube?

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Important Questions on Number Systems

HARD

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

The LCM of two numbers is

168

and their HCF is

12

. If the difference between the numbers is

60

. What is the sum of the numbers?

EASY

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

m and n

are positive integers such that

m^{n} = 1331

, then what is the value of

{(m - 1)}^{n - 1}

MEDIUM

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

The students of a class donated a sum of

₹ 2, 809

to a fund. Each student donated as many rupees as the number of students in the class. The number of students in the class is:

EASY

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

Consider the following numbers:

$1 . 2222 2 . 11664 3 . 343343 4 . 220347$

Which of the above are not perfect squares?

EASY

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

The cube root of

3375

equal to_____.

EASY

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

Find the square root of $6889$ by using Dwandwa Yoga Method.

EASY

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

Arrange the following in the descending order $(\sqrt{23} - \sqrt{21}), (\sqrt{19} - \sqrt{17}), (\sqrt{21} - \sqrt{19})$ .

EASY

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

The difference of cubes of two numbers is

999

. The numbers are in the ratio of

4 : 3

. What is the square of the smaller number?

EASY

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

What is the value of

\sqrt[3]{4 \frac{12}{125}}

EASY

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

What is the natural number n for which 39 +312 +315 + 3n is a perfect cube of an integer ?

EASY

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

What is the square root of

23 - 4 \sqrt{15}

MEDIUM

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

Which of the following is a perfect cube.

EASY

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

What is the value of

2 + \sqrt{2 + \sqrt{2 + \sqrt{. . . . . . . . . .}}}

MEDIUM

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

The square root which of the following is a rational number?

EASY

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

The value of

56 + 4^{3} - 3 \times 3^{2}

is:

MEDIUM

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

Priya's age was cube of an integral number (different from 1) four year ago and square of an integral number after four years. How long should she wait so that her age becomes square of a number in the previous year and cube of a number in the next year?

EASY

Mathematics>Arithmetic>Number Systems>Cubes and Cube Roots

How many numbers are there between