If in a certain code language: "Very bright boys" is coded as: 654 "Most boys…

2026

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?

  1. A.

    6, 7

  2. B.

    7, 5

  3. C.

    7, 4

  4. D.

    5, 4

Attempted by 47 students.

Show answer & explanation

Correct answer: B

To solve this, we compare the given statements to find common words and their corresponding digits.

First, comparing 'Very bright boys' (654) with 'Bright boys are smart' (5437), the common words are 'bright' and 'boys', which correspond to digits 5 and 4.

Next, comparing 'Most boys are allrounder' (1432) with 'Bright boys are smart' (5437), the common words are 'boys' and 'are', matching digits 4 and 3.

Since 'boys' is the common word in both comparisons, it must be coded as 4. This confirms 'bright' is 5 and 'are' is 3.

In the third statement, since 'boys' (4) and 'bright' (5) are accounted for, the remaining digit 7 must represent 'smart'.

The question asks for the codes of 'smart' and 'bright' respectively, which are 7 and 5.

Option A is incorrect because it swaps the order or uses wrong digits for 'smart'. Option C and D are also incorrect as they do not match the derived codes. Thus, the correct answer is 7, 5.

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