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The weights of 4 boxes are 20,40,80 and...

The weights of 4 boxes are 20,40,80 and 90 kilogrmas which of the following cannot be the total weight in kilograms of any combination of these box can be used only once

A

220

B

230

C

150

D

210

Text Solution

Verified by Experts

The correct Answer is:
A

Possible total weights:
`(i) 20 + 40 + 80 + 90 = 230 kg`
(ii) `20 + 40 + 80 = 140 kg`
(iii) `20 + 40 + 90 = 150 kg`
(iv) `40 + 80 + 90 = 210 kg`
(v) `20 + 80 + 90 - 190 kg`
(vi) `20 + 40 = 60 kg`
(vii) `20 + 80 = 100 kg`
(viii) `20 +90 = 110 kg`
(ix) `40 + 80 = 120 kg`
(x) `40 + 90 = 130 kg`
(xi) `80 + 90 = 170 kg`
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