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Examoogle • User • info@examoogle.com • EE-2024-8821
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If 'P' stands for '×', 'Q' stands for '÷', 'R' stands for '-' and 'S' stands for '+', then the resultant of which of the following would be 75?
13 + 5 + 2 × 6 × 3 - 24 - (44 - 2)
13 × 5 + 2 × 6 ÷ 3 + 24 - (44 ÷ 2)
13 - 5 + 2 × 6 × 3 + 24 - (44 × 2)
13 × 5 - 2 × 6 × 3 + 24 + (44 ÷ 2)
13 × 5 - 2 × 6 × 3 + 24 + (44 ÷ 2)
Convert all symbols to standard operators (P=x, Q=/, R=-, S=+) and use the BODMAS rule. Since calculation is mandatory, focus on evaluating the bracket first to narrow down the potential answer.
Convert all symbols to standard operators (P=x, Q=/, R=-, S=+) and use the BODMAS rule. Since calculation is mandatory, focus on evaluating the bracket first to narrow down the potential answer.
Symbol Substitution
Replace variables with operators as given: P = x, Q = /, R = -, S = +. The expression becomes 13 x 5 - 2 x 6 x 3 + 24 + (44 / 2).
BODMAS Simplification
First, evaluate the bracket: (44 / 2) = 22. Now, substitute back: 13 x 5 - 2 x 6 x 3 + 24 + 22. Applying Multiplication first: (13 x 5) = 65, (2 x 6 x 3) = 36. The expression is now 65 - 36 + 24 + 22.
Final Calculation
Perform addition and subtraction: 65 - 36 = 29; 29 + 24 = 53; 53 + 22 = 75. The resultant is exactly 75.
A: Results in 13+5+263-24-22 = 18+36-46 = 8, which is not 75; B: Results in 135+26/3+24-22 = 65+4+2 = 71, which is not 75; C: Results in 13-5+263+24-(44*2) = 8+36+24-88 = -20, which is not 75.
D is correct because evaluating 13 P 5 R 2 P 6 P 3 S 24 S (44 Q 2) using BODMAS leads to 65 - 36 + 24 + 22, which calculates to 75.
In arithmetic operator questions, always calculate the bracketed part first to simplify the expression significantly before tackling the rest of the numbers.
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