Question 49

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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