If in a certain code language : "Very bright boys" is coded as : 654 "Most boys are allrounder" is coded as : 1432 "Bright boys are smart" is coded as : 5437 then how "smart" and "bright" shall be coded in that language, respectively ?

A6, 7

B7, 5 ✓ Correct

C7, 4

D5, 4

Correct answer: (B) 7, 5

Explanation

'smart' is coded 7 and 'bright' is coded 5.

'bright' and 'boys' are shared by 654 and 5437, giving the pair {4, 5}.

'boys' and 'are' are shared by 1432 and 5437, giving the pair {3, 4}.

'boys' is common to both pairs, so boys = 4, then are = 3 and bright = 5.

In 5437 the remaining digit is 7, so smart = 7.

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