Question

A calculator has two memory buttons, A and B. Value 1 is initially stored in both memory locations. The following sequence of steps is carried out five times:
- Add 1 to B
- Multiply A to B
- Store result in A
What is the value stored in memory location A after this procedure?

• A. 120
• B. 450
• C. 720
• D. 250

Hint:

Simulate memory operations step-by-step. Write down updated values after each iteration to track cumulative effect.

Answer 1

The Correct Option is A

Initial: $A = 1$, $B = 1$ Let’s simulate step-by-step: Iteration 1: $B = B + 1 = 2$ $A = A \cdot B = 1 \cdot 2 = 2$ Iteration 2: $B = 3$ $A = 2 \cdot 3 = 6$ Iteration 3: $B = 4$ $A = 6 \cdot 4 = 24$ Iteration 4: $B = 5$ $A = 24 \cdot 5 = 120$ Iteration 5: $B = 6$ $A = 120 \cdot 6 = 720$ BUT — the question says "after the procedure" — performed five times. So we stop after the 5th storage step. That means: Final $A = \boxed{720}$ \[ \boxed{720} \]