UPPSC PCS - 2020
If ‘+’ means ‘÷‘, ’–‘ means ‘×’. ‘×’ means ‘+’ and ‘÷’ means ‘–‘, then 6 ÷ 10 – 4 × 12 + 6 = ?
Year Asked: 2020
Correct Answer
A. –32
Detailed Explanation
Start by replacing each symbol as the question directs: + becomes ÷, – becomes ×, × becomes +, and ÷ becomes –. The expression 6 ÷ 10 – 4 × 12 + 6 turns into 6 – 10 × 4 + 12 ÷ 6.
Now apply the usual BODMAS order. 10 × 4 = 40 and 12 ÷ 6 = 2, so the expression becomes 6 – 40 + 2 = –32. Option A is correct.
- B (32): Right magnitude, wrong sign. This comes from reading the 40 as added or the final subtraction as reversed.
- C (–41.4): Non-integer results are a warning sign. Both 10 × 4 and 12 ÷ 6 are whole numbers, so no valid order gives a decimal here.
- D (48): This comes from adding 40 instead of subtracting it: 6 + 40 + 2 = 48.
The core concept is substitution-based operator puzzles: decode first, then compute with normal precedence rules, never with the coded symbols. This is a clean drill for the quantitative and reasoning sections of the Prelims and sharpens the arithmetic discipline you need for CSAT.
Trap: Calculating left to right after substitution gives a fraction, not –32. Always apply BODMAS to the decoded expression.
This question appeared in UPPCS 2020 CSAT Paper.
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