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Which two numbers should be interchanged to make the given equation correct? (NOTE: Numbers must be interchanged and the constituent digits, e.g.
Question

Which two numbers should be interchanged to make the given equation correct? (NOTE: Numbers must be interchanged and the constituent digits, e.g., if 2 and 3 are to be interchanged in the equation 43 × 3 + 4 ÷ 2, then interchanged equation is 43 × 2 + 4 ÷ 2)
29 + 46 – (48 ÷ 4) + (7 × 3) – 26 = 61 ​​

A.

46 and 26

B.

46 and 48

C.

26 and 29

D.

4 and 3

Correct option is D

Given: 29 + 46 – (48 ÷ 4) + (7 × 3) – 26 = 61
Logic: To solve this, we need to interchange the numbers as directed in the options in the given equation to solve the equation. For this, we follow the BODMAS rule (Brackets, Orders (i.e., powers, and square roots, etc.), Division, Multiplication, Addition, and Subtraction).
Explanation:
Option (a): 46 and 26
29 + 26 – (48 ÷ 4) + (7 × 3) – 46 = 61
29 + 26 – 12 + 21 – 46 = 61
76 – 12 – 46 = 61
43 ≠ 61 (This option does not satisfy the equation)
Option (b): 46 and 48
29 + 48 – (46 ÷ 4) + (7 × 3) – 26 = 61
29 + 48 – 11.5 + 21 – 26 = 61
98 – 11.5 – 26 = 61
60.5 ≠ 61 (This option does not satisfy the equation)
Option (c): 26 and 29
26 + 46 – (48 ÷ 4) + (7 × 3) – 29 = 61
26 + 46 – 12 + 21 – 29 = 61
93 – 12 – 29 = 61
52 ≠ 61 (This option does not satisfy the equation)
Option (d): 4 and 3
29 + 46 – (48 ÷ 3) + (7 × 4) – 26 = 61
29 + 46 – 16 + 28 – 26 = 61
103 – 16 – 26 = 61
61 = 61 (This option satisfies the equation)
The final answer is option (d).

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