Question

1. The least number which should be added to 200, so the sum is exactly divisible by 13 is : (a) 0 (c) 15 (b) 5 (d) 80​

Answer 1

Answer:

All options are wrong

Step-by-step explanation:

a ) 200 + 0 = 200

not divisible by 13

b ) 200 + 15 = 215

not divisible by 13

c ) 200 + 5 = 205

not divisible by 13

d ) 200 + 80 = 280

not divisible by 13

Answer 2

$\huge\text{(d) 8}$

*Please check the typo in the options.

(a) 0 (c) 15 (b) 5 (d) 8

$\huge\text{\underline{\underline{Topic}}}$

$\Large\text{[Arithmetic]}$

$\large\text{ \rightarrow Division}$

Let's think we divided A by B.

After the division, the quotient is Q, and the remainder is R.

$\cdots\longrightarrow{\boxed{\text{A=BQ+R}}}$

A division satisfies such equation.

$\huge\text{\underline{\underline{Explanation}}}$

$\bold{Given\ number}$

$\cdots\longrightarrow200=13\times15+5$

A divisible number leaves no remainder.

Let's add. What number do we need? We need to replace the remainder with a multiple of 13. The number to add is 8.

$\cdots\longrightarrow208=13\times15+13$

The quotient increases by 1. Also, there is no remainder.

$\cdots\longrightarrow208=13\times16$

The least number to add is 8, so option (d) is correct.