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Range of Quadratic Expression

If FAST is co...

Question

If FAST is coded as 798 and LAST is coded as 906 then BUSY is coded as

A

1759

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B

1431

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C

952

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D

948

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Solution

The correct option is A 1431
FAST is coded as 798
$= 36 + 1 + 361 + 400 = 798$
LAST is coded as 906
$12^{2} + 1^{2} + 19^{2} + 20^{2} = 144 + 1 + 361 + 400 = 906$
then BUSY is coded as 1431
$2^{2} + 21^{2} + 19^{2} + 25^{2} = 4 + 441 + 361 + 625 = 1431$ .

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