Interchange of operators and digits: Which one swap makes the equation true? Given: 6 × 4 + 2 = 16. Swap exactly the indicated operator pair globally and interchange the indicated pair of numbers to balance the equality.

Introduction / Context:
This problem asks you to make a false statement true by applying two precise edits to the left-hand side (LHS): (1) swap a pair of operators globally and (2) interchange a named pair of digits wherever they occur. Such items test rule application, operator precedence, and careful sequencing of edits, which are common in mathematical-operations reasoning questions.

Given Data / Assumptions:

• Target equation: 6 × 4 + 2 = 16 (currently false because 6 × 4 + 2 = 24 + 2 = 26).
• Each option specifies an operator swap (between + and ×) and a digit swap (between two given numerals).
• Edits are global on the LHS and performed in the natural reading order: apply the operator swap, then interchange the digits.
• After edits, evaluate with standard precedence: × and ÷ before + and −.

Concept / Approach:
For each option, first swap all instances of the named operators, then swap the specified digits throughout the LHS, and finally evaluate. The correct option yields 16 exactly, matching the RHS.

Step-by-Step Solution:
Consider Option C: “+ and x, 4 and 6”.Operator swap (+ ↔ ×): the LHS 6 × 4 + 2 becomes 6 + 4 × 2.Digit swap (4 ↔ 6) globally in the LHS: 6 ↔ 4 turns 6 + 4 × 2 into 4 + 6 × 2.Evaluate with precedence: 6 × 2 = 12; then 4 + 12 = 16.The edited LHS equals 16, so the equality holds.

Verification / Alternative check:
Option A is incomplete (mentions “and 4” only), so it cannot define a valid digit swap pair.Option B (“+ and x, 2 and 4”) produces 6 + 4 × 2 → swap 2 ↔ 4 → 6 + 2 × 4 = 14, not 16.Option D (“None of these”) is false because Option C has already produced a valid equality.

Why Other Options Are Wrong:
They either fail to specify a coherent digit pair or, after correct transformation, evaluate to a number different from 16 (typically 14 or 26 due to precedence effects).

Common Pitfalls:

• Forgetting that the operator swap is global—not local to one position.
• Applying the digit swap before changing operators, which can lead to different and incorrect outcomes.
• Ignoring operator precedence and computing left-to-right for mixed × and +.

Final Answer:
+ and x, 4 and 6.