Which two signs should be interchanged to make the given equation correct?
16 × 121 ÷ 11 + 4 − 10 = 50

The correct answer is + and ×.

To determine which two signs should be interchanged to make the given equation correct, we will substitute the signs from the correct option and verify it using the BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction).

The original equation is:
$16\times 121÷11+4-10=50$

By interchanging the $+$ and $\times$ signs, the equation becomes:
$16+121÷11\times 4-10=50$

Now, let's solve the Left-Hand Side (LHS) of the new equation step-by-step:

Step 1: Division
First, divide 121 by 11:
$121÷11=11$

Now, substitute this result back into the expression:
$16+11\times 4-10$

Step 2: Multiplication
Next, multiply 11 by 4:
$11\times 4=44$

Now, substitute this result back into the expression:
$16+44-10$

Step 3: Addition
Add 16 and 44:
$16+44=60$

Now, the expression becomes:
$60-10$

Step 4: Subtraction
Subtract 10 from 60:
$60-10=50$

Since the Left-Hand Side (LHS) equals the Right-Hand Side (RHS) ($50=50$), the equation is balanced. Thus, interchanging the $+$ and $\times$ signs makes the equation correct.