Question

z is a whole number greater than 5000.
Which of these could be the remainder when z is divided by 2841?​

Answer 1

Given that,

z is a whole number greater than 5000.

Suppose, the reminder is

(I). 2156

(II). 2158

(III). 2100

(IV). 2162

When z is divided by 2841.

Where, z >5000

If z = 5001

We divided of 5001 by 2841 then quotient is 1.

We need to calculate the remainder

Using formula of remainder

$dividend-remainder=\dfrac{divisor}{quotient}$

$remainder=dividend-\dfrac{divisor}{quotient}$

Put the value into the formula

$remainder=5001-\dfrac{2841}{1}$

$remainder=2160$

If z = 5002

We divided of 5002 by 2841 then quotient is 1.

We need to calculate the remainder

Using formula of remainder

$dividend-remainder=\dfrac{divisor}{quotient}$

$remainder=dividend-\dfrac{divisor}{quotient}$

Put the value into the formula

$remainder=5002-\dfrac{2841}{1}$

$remainder=2161$

If z = 5003

We divided of 5003 by 2841 then quotient is 1.

We need to calculate the remainder

Using formula of remainder

$dividend-remainder=\dfrac{divisor}{quotient}$

$remainder=dividend-\dfrac{divisor}{quotient}$

Put the value into the formula

$remainder=5003-\dfrac{2841}{1}$

$remainder=2162$

Hence, The remainder is 2162

(IV) is correct option.

Answer 2

Step-by-step explanation:

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