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Find the cube root of $64$ .

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Important Questions on Cubes and Cube Roots

HARD

Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

The number of all

2

-digit numbers

n

such that

n

is equal to the sum of the square of digit in its tens place and the cube of the digit in units place is

MEDIUM

Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

There are exactly twelve Sundays in the period from January

1

to March

31

in a certain year. Then, the day corresponding to February

15

in that year is

MEDIUM

Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

The number of positive integers

n

in the set

\{2, 3, \dots . ., 200\}

such that

\frac{1}{n}

has a terminating decimal expansion is

EASY

Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

The sum of three consecutive numbers is $126$ . Find the highest number-

1. $41$
2. $42$
3. $43$
4. $44$

EASY

Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

Find the cube of

42

by using Upsutra Anurupyena

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Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

How many times does the number $3$ occur in unit's place for numbers ranging from $1$ to $100$ ?

1. $20$
2. $11$
3. $10$
4. $19$

MEDIUM

Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

Consider the set

A

of natural numbers

n

whose units digit is non-zero, such that if this units digit is erased, then the resulting number divides

n

. If

K

is the number of elements in the set

A

, then

EASY

Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

The difference of the cubes of two consecutive numbers is

127

. What are the numbers?

MEDIUM

Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

The unit digit in the expression

55^{725} + 73^{5810} + 22^{853}

HARD

Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

Let

S

be the set of all point

(\frac{a}{b}, \frac{c}{d})

on the circle with radius

1

centred at

(0, 0)

where

a

and

b

are relatively prime integers,

c

and

d

are relatively prime integers (that is

H C F (a, b) = H C F (c, d) = 1

), and the integers

b

and

d

are even. Then the set

S

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Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

Twice the difference between two numbers is equal to their sum. If one number is $15$ , Find the other number.

1. $15$
2. $10$
3. $5$
4. $20$

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Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

How many numbers are there between

200

300

which are perfect cubes?

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Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

1 USD = Rs. 67.89. A money changer adds a margin of Rs. 1.11. What will be the cost of 150 USD ?

1. Rs. 10,183
2. Rs. 10,350
3. Rs. 10,330
4. Rs. 10,450

MEDIUM

Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

The number of digits in the decimal expansion of

16^{5} 5^{16}

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Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

59

is added to a square of a number, the result is

900

. What is the number?

EASY

Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

The sum of two digits of a number is

13

. If

9

is subtracted from the number, the digits are interchanged. What is the number?

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Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

\frac{1}{4}

of third-part of number is

5

, then the number is:

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Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

Consider a three-digit number with the following properties:

I. If its digits in units place and tens place are interchanged, the number increases by $36$
II. If its digits in units place and hundreds place are interchanged, the number decreases by $198$ .

Now, suppose that the digits in tens place and hundreds place are interchanged. Then, the number

EASY

Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

The cube root of

3375

equal to_____.

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Mathematics>Arithmetic>Cubes and Cube Roots>Cubes

Which of the following is a perfect cube.

Find the cube root of 64.

Important Questions on Cubes and Cube Roots

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Find the cube root of $64$ .