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If A denotes ‘+’, B denotes ‘$$\times$$’, C denotes ‘−’ and D denotes ‘$$\div$$’, then what will come in place of ‘?’ in the following equation?
(17 B 4 ) A (29 B 3) C (85 D 17 ) A 26 C 13 A 52 = ?
First rewrite each code letter with its actual arithmetic operator:
A → $$+$$, B → $$\times$$, C → $$-$$, D → $$\div$$.
Substituting these in the given expression gives
$$(17 \times 4) + (29 \times 3) - (85 \div 17) + 26 - 13 + 52$$
Step-wise evaluation:
1. Calculate the values inside every bracket first (because brackets have the highest precedence).
$$17 \times 4 = 68$$
$$29 \times 3 = 87$$
$$85 \div 17 = 5$$
2. Replace the bracketed terms with these results:
$$68 + 87 - 5 + 26 - 13 + 52$$
3. Now only additions and subtractions are left, which we perform from left to right:
$$68 + 87 = 155$$
$$155 - 5 = 150$$
$$150 + 26 = 176$$
$$176 - 13 = 163$$
$$163 + 52 = 215$$
Hence the value that replaces ‘?’ is $$215$$.
Option C which is: 215
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