"If the given symbols mean: '+' means 'divided by' '-' means 'multiplied by' 'x' means 'minus' '÷' means 'plus' Then, find the value of the following expressions: 60 + 5 - 4 x 10 ÷ 2=?
- (a)35
- (b)40
- (c)55
- (d)65
Answer
Why
Correct — B.
Rule: replace each symbol by its meaning, then apply BODMAS.
Given: 60 + 5 − 4 × 10 ÷ 2
Decoded: 60 ÷ 5 × 4 − 10 + 2
Divide, then multiply: 60 ÷ 5 = 12, 12 × 4 = 48
Then left to right: 48 − 10 + 2 = 40 → option (b).
Why the others are wrong
- (a)35 — 35 falls 5 short. The decoded order gives 60 ÷ 5 × 4 = 48 first, and 48 − 10 + 2 = 40.
- (c)55 — 55 is 15 too high. After 48, the decoded tail is − 10 + 2, a net fall of 8, which leaves 40.
- (d)65 — 65 is 60 + 5 taken at face value. Under the code, + means divided by, so the expression opens 60 ÷ 5 = 12.
Concept
Symbol-substitution items change what each sign means but keep the ordinary order of operations. Decode the whole expression first, then solve it as normal arithmetic.
Write the decoded line out in full before any working. Solving while decoding is where signs get mixed up.
Key facts
- Here + means ÷, − means ×, × means − and ÷ means +.
- BODMAS: division and multiplication before addition and subtraction, left to right within each level.
- 60 + 5 − 4 × 10 ÷ 2 decodes to 60 ÷ 5 × 4 − 10 + 2 = 40.
Study next
Common traps
- Working the printed signs before decoding them
- Adding before subtracting at the end: 48 − (10 + 2) = 36
The same four-symbol legend is printed at 15 Sep 2025, 12:30, Reasoning Q.23, where 48 × 8 ÷ 12 + 4 − 7 decodes to 61, keyed, and at 19 Sep 2025, 16:00, Reasoning Q.20, where 12 + 3 − 8 × 2 ÷ 1 decodes to 31, keyed.
Related PYQs
No directly related past PYQ was found.