Question

The sum of two whole numbers is 256. Which of the
following cannot be their ratios ?
(a) 1:7
(b) 5:11
(c) 7:17
(d) 11:21​

Answer 1

Answer:

C

Step-by-step explanation:1x +7x=8x

256 is divisible by 8

5x +11x=16x

Divisible by 256

7x+17x=24x

Not divisible ans is c

Answer 2

Option C

7 : 17 cannot be ratio of sum of two whole numbers is 256

Solution:

Given that,

Sum of two whole numbers is 256

Let us check the options

Option A

1 : 7

Total = 1 + 7 = 8

Thus, 256 is completely divisible by 8

Therefore, 1 : 7 can be the ratio of sum of two whole numbers is 256

Option B

5 : 11

Total = 5 + 11 = 16

Thus, 256 is completely divisible by 16

Therefore, 5 : 11 can be the ratio of sum of two whole numbers is 256

Option C

7 : 17

Total = 7 + 17 = 24

When, 256 is divided by 24, it leaves a remainder

Therefore, 7 : 17 cannot be ratio of sum of two whole numbers is 256

Option D

11 : 21

Total = 11 + 21 = 32

Thus, 256 is completely divisible by 32

Therefore, 11 : 21 can be the ratio of sum of two whole numbers is 256

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