Replace special characters with mathematical signs as given in options to make it meaningful equation. 16 # 4 @ 2 = 62
- (a)÷, −
- (b)−, ÷
- (c)×, −
- (d)−, ×
Answer
Why
Correct — C.
Rule: substitute each option's signs, then do × and ÷ before + and − (BODMAS).
16 # 4 @ 2 with # = × and @ = −
= 16 × 4 − 2
= 64 − 2 = 62 ✓ → option (c)
Shortcut: 62 is far above 16, so # must enlarge 16. Of the four options, (c) alone puts × first.
Why the others are wrong
- (a)÷, − — ÷, − gives 16 ÷ 4 − 2 = 4 − 2 = 2, not 62.
- (b)−, ÷ — −, ÷ gives 16 − 4 ÷ 2. Division first: 16 − 2 = 14, not 62.
- (d)−, × — −, × gives 16 − 4 × 2. Multiplication first: 16 − 8 = 8, not 62.
Concept
Sign-substitution items give an equation with symbols in place of the operators. Put each option's signs in, then evaluate with BODMAS: brackets, then division and multiplication left to right, then addition and subtraction left to right.
A size check saves time. The target 62 is almost four times 16, and starting with − or ÷ can only bring 16 down, so the first sign must be ×.
Working strictly left to right without BODMAS, option (b) becomes (16 − 4) ÷ 2 = 6 and option (d) becomes (16 − 4) × 2 = 24. Neither reaches 62 here, but on other items the order of operations changes which option balances.
Key facts
- BODMAS: brackets, then division and multiplication left to right, then addition and subtraction left to right.
- 16 × 4 = 64, and 64 − 2 = 62.
- Subtraction or division as the first operation cannot take 16 up to 62.
Study next
Common traps
- Working left to right and ignoring BODMAS
- Applying an option's pair in the wrong order: (c) read as # = −, @ = × gives 16 − 4 × 2 = 8
21 Sep 2025, 16:00, Reasoning Q.5 asks the same with letters: 15 A 5 B 4 = 35, keyed +, × (15 + 5 × 4 = 35).
25 Sep 2024, 09:00, Reasoning Q.9 fills three blanks: 75 _ 3 _ 17 _ 8 = 0, keyed ÷, −, − (25 − 17 − 8 = 0).
Related PYQs
No directly related past PYQ was found.