If + = −, − = +; then 20 + 8 − 5 = ?
- (a)23
- (b)27
- (c)17
- (d)15
Answer
Why
Correct — C.
Rule: swap the signs first, then calculate left to right.
Printed: 20 + 8 − 5
After the swap (+ → −, − → +): 20 − 8 + 5
Subtract: 20 − 8 = 12
Add: 12 + 5 = 17 → option (c).
Why the others are wrong
- (a)23 — 23 is 20 + 8 − 5 worked with the printed signs. The stem makes + mean − and − mean +, so the swap comes first.
- (b)27 — 27 is not any of 20 ± 8 ± 5, which give 33, 23, 17 and 7, so no reading of the two signs produces it.
- (d)15 — 15 is not among 33, 23, 17 and 7, the four values of 20 ± 8 ± 5. It cannot come from keeping or swapping the signs.
Concept
Sign-interchange items give a legend, here + means − and − means +, and print the expression in code. Decode every sign in one pass, write the new expression down, then work it out.
With only + and −, the order is plain left to right. When × and ÷ join the legend, apply BODMAS after the swap.
Key facts
- Under this legend, + is read as − and − is read as +.
- 20 − 8 + 5 worked left to right is 17.
- The four sign patterns of 20 ± 8 ± 5 give 33, 23, 17 and 7.
Study next
Common traps
- Working the printed expression and picking 23
- Swapping only the first sign and getting 20 − 8 − 5 = 7
9 Sep 2024, 09:00, Reasoning Q.8 swaps both pairs, + with − and × with ÷: 5 – 4 ÷ 9 + 80 × 10 becomes 5 + 4 × 9 − 80 ÷ 10 = 33 (keyed b).
Related PYQs
No directly related past PYQ was found.