Question

The numbers 28743 and 64295 are divisible by 11 but not by 121. Which of the following numbers are NOT divisible by 11?
1 point
28743+64295
28743 X 64295
2874364295
(28743 X 64295)÷121

Answer 1

Answer:

answer for this question is 28743+64295&(28743×64295)÷121

Answer 2

Answer:

The number which is not divisible by 11 is (28743 X 64295)÷121

Step-by-step explanation:

Given that the number 28743 and 64295 are divisible by 11 but not by 121.

Then let us take 28743 = 11x and 64295 = 11y

(i) 28743+64295

28743+64295 = 11x+11y

= 11*(x+y), a multiple of 11

Hence we can conclude that 28743+64295 is a multiple of 11

(ii) 28743 X 64295

28743 X 64295 = 11x*11y

= 11*(11xy), a multiple of 11

This shows that 28743 X 64295 is a multiple of 11

(ii)2874364295

We know that,

a number is divisible by 11,

if Sum of digits in odd places - Sum of digits in even places = "0" or divisible by 11.

here,

Sum of digits in odd places - Sum of digits in even places

= 2 +7 + 3 + 4 + 9  - (8 + 4 + 6 + 2 + 5) = 25 - 25 = 0

Hence  2874364295 is divisible by 11

(iv) (28743 X 64295)÷121

(28743 X 64295)÷121 =  (28743 X 64295)÷121

$\frac{11x *11y }{121} = \frac{121xy}{121}$  

= xy, not divisible by 11

Since both numbers are not divisible by 121, we can conclude that xy is not divisible by 11

Hence the number which is not divisible by 11 is (28743 X 64295)÷121