If 'M' means '+', 'N' means '−', 'O' means '×', and 'P' means ‘÷' what is the value of the following expression? 18 P 3 M 5 O 2=?
- (a)16
- (b)22
- (c)28
- (d)8
Answer
Why
Correct — A.
Rule: substitute the letters, then apply BODMAS (÷ and × before +).
18 P 3 M 5 O 2 = 18 ÷ 3 + 5 × 2
Divide first: 18 ÷ 3 = 6
Multiply next: 5 × 2 = 10
Add last: 6 + 10 = 16 → option (a).
Why the others are wrong
- (b)22 — 22 comes from working left to right: 18 ÷ 3 = 6, 6 + 5 = 11, 11 × 2 = 22. BODMAS does 5 × 2 before the addition.
- (c)28 — 28 is 18 + 10: it drops the ÷ 3. Division comes first, so the 18 becomes 6 before anything is added.
- (d)8 — 8 matches no bracketing of 18 ÷ 3 + 5 × 2. Worked in the right order, the value is 16.
Concept
A symbol-substitution item tests two steps in order: replacing each letter correctly, then evaluating with the standard order of operations. Here M, N, O and P stand for +, −, × and ÷, and N does not appear in the expression.
After substitution, 18 ÷ 3 + 5 × 2 is ordinary arithmetic. Division and multiplication are done before addition, wherever they sit.
Write the substituted expression in full before you calculate, so the substitution and the arithmetic are two separate checks.
Key facts
- In this item M = +, N = −, O = × and P = ÷.
- BODMAS: brackets, orders, then ÷ and × left to right, then + and − left to right.
- 18 ÷ 3 + 5 × 2 = 6 + 10 = 16.
Study next
Common traps
- Working strictly left to right and getting 22
- Dropping the ÷ 3 and adding 18 directly, which gives 28
13 Sep 2025, 12:30, Reasoning Q.21 uses the same frame with X, Y, Z, W: 15 W 3 X 2 Y 4 = 15 ÷ 3 + 2 − 4, keyed 3.
16 Sep 2025, 16:00, Reasoning Q.23 does it with A, B, C, D: 25 B 5 C 3 D 2 A 4 = 5 + 6 − 4, keyed 7.
Related PYQs
No directly related past PYQ was found.