Question

MPANY
CS
ory
E
NDING
G COMPANY
Sumangai Prakash
6.
Which least number should be subtracted from 1000 so that the difference
is exactly divisible by 84?​

Answer 1

➨CORRECT QUESTION:-

$\tt \pink{Which \: least \: number \: should \: be \: subtracted } \\ \tt \pink{from \: 1000 \: so \: that \: the \: difference \: </p><p>is} \\ \tt \pink{ exactly \: divisible \: by \: 84}?$

➧GIVEN:-

• no. = 1000

• and difference is exactly divisible by 84.

➧FIND:-

• Least no. = ?

➧SOLUTION:-

Let, a = 1000 and b = 84.

So, we get a = bq+r

1000 = 84 × q + r

1000 = 11 × 84 +76

Now, subtract (76) from both sides

$\bold {1000 - 76 = 11 × 84 \cancel{+76} \cancel{ - 76}}$

$\bold {924 = 11 \times 84}$

924 is divisible by 11

Hence, $\boxed{\bold{76}}$ is the smallest no. to be subtracted.