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A number is divided into five parts. Twice the firstpart, thrice the second part and four times the fourthpart are equal. Twice the second part, five times thethird part and six times the last part are equal. Which ofthe following is always true if all the parts are integers?(A) The first part is a multiple of 72.(B) The second part is divisible by the fourth part.(C) The first part is a factor of the last part.(D) The product of the first and fourth parts isdivisible by 30. |
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Answer» Answer: only c is true. Step-by-step explanation: let 5 parts be a,b,c,d,e from 1st STATEMENT, 2a = 3b = 4d from 2nd statement, 2b = 5c = 6e hence we can say 4a = 6b = 15C = 8d = 18e dividing by 720, we can say numbers r in ratio 90:60:24:45:20 a)The first part is a multiple of 72 false b)The second part is divisible by the FORTH part false c)the PRODUCT of the first and fourth parts is divisible by 30 true d)the first part is a factor of the last part false |
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