Question

If 11649 is divided by a certain number, the remainder is 1. Which of the following number . 1) 12 2) 15 3) 16 4) 18

Answer 1

The required number "option 3) 16" is correct.

Step-by-step explanation:

We have,

11649

To find, the certain number = ?

Check options:

1) 12

$=\dfrac{11649}{12}=12\times 970+9$

Remainder = 9

2) 15

$=\dfrac{11649}{15}=15\times 776+9$

Remainder = 12

3) 16

$=\dfrac{11649}{16}=16\times 728+1$

Remainder = 1

4) 18

$=\dfrac{11649}{18}=18\times 647+3$

Remainder = 3

Hence, the required number "option 3) 16" is correct.

Answer 2

Answer:

3 ) 16 is correct

Step-by-step explanation:

By going through the option ,

1) 12

11649 / 12

remainder = 9

so the option 1) is not correct .

2) 15

11649 / 15

remainder =  9

so the option 2 ) is correct

3) 16

11649 / 16

remainder = 1

Hence the option 3 ) 16 is correct