Question

find the largest 4 digit number which is exactly divisible by 63
9954
9963
9964
9973
with steps​

Answer 1

To Find:

• The largest 4 digit number which is exactly divisible by 63.

We know that:

• Largest 4 digit number is 9999.

Dividing 9999 by 63.

Using Euclid's Division Lemma.

↠ a = bq + r

↠ 9999 = 63 × 158 + 45

Where,

• a = Dividend = 9999
• b = Divisor = 63
• q = Quotient = 158
• r = Remainder = 45

Subtracting remainder from dividend.

Dividend - Remainder

= 9999 - 45

= 9954

Hence,

• The largest 4 digit number which is exactly divisible by 63 is 9954.

Answer 2

Answer:

• Largest 4 digit number which is exactly divisible by 63 is 9954. So, first option 9954 is correct.

Explanation:

Given information,

Find the largest 4 digit number which is exactly divisible by 63.

Options,

• 9954
• 9963
• 9964
• 9973

We know that,

• Largest 4 digit number = 9999

To find,

• Largest 4 digit number which is exactly divisible by 63 = ?

Using Euclid's division lemma,

✪ a = bq + r ✪

Where,

• a denotes dividend
• b denotes divisor
• q denotes quotient
• r denotes remainder

➻ 9999 = 63 × 158 + 45

We get,

• Quotient = 158
• Remainder = 45

Now,

✪ Required number = a - r ✪

Where,

• a denotes dividend
• r denotes remainder

We have,

• Dividend (a) = 9999
• Remainder (r) = 45

Putting all values,

➻ Required number = 9999 - 45

➻ Required number = 9954

• Hence, largest 4 digit number which is exactly divisible by 63 is 9954. So, first option 9954 is correct.

Some definitions,

• Dividend

A number or amount that need to be divided by divisor is called dividend.

• Divisor

A number which divides a given number (dividend) is called divisor.

• Quotient

A number obtained by dividing any number (dividend) by other number (divisor) is called quotient. E.g : By dividing 9 with 3, we get quotient = 3.

• Remainder

A number left after doing division is called remainder. E.g : By dividing 3 with 2, we get remainder = 1.

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