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Which two numbers should be interchanged to make the given equation correct? 46+24тИТ(12+19)├Ч2+38├Ч6+44├╖4=262 (Note: Interchange should be done of entire number and not individual digits of a given number.)
6 and 2
2 and 4
24 and 38
24 and 44
24 and 44
Apply BODMAS and test options starting with division signs; since 44/4 is a clean integer, swapping 44 with another number often disrupts the balance, but check the arithmetic carefully for the result 262.
Apply BODMAS and test options starting with division signs; since 44/4 is a clean integer, swapping 44 with another number often disrupts the balance, but check the arithmetic carefully for the result 262.
Evaluate original equation
Original: 46 + 24 - (12 + 19) * 2 + 38 * 6 + 44 / 4. BODMAS: (12+19)=31; 312=62; 386=228; 44/4=11. Expression: 46 + 24 - 62 + 228 + 11 = 247. This does not equal 262.
Test Option D (Interchange 24 and 44)
Equation becomes: 46 + 44 - (12 + 19) * 2 + 38 * 6 + 24 / 4. BODMAS: (12+19)=31; 312=62; 386=228; 24/4=6. Expression: 46 + 44 - 62 + 228 + 6. Calculation: 90 - 62 + 228 + 6 = 28 + 228 + 6 = 262. This matches the requirement.
A: Interchanging 6 and 2 leads to 46 + 24 - (12 + 19) * 6 + 38 * 2 + 44 / 4 = 46 + 24 - 186 + 76 + 11 = -29. B: Interchanging 2 and 4 yields a complex fraction or significantly lower result not matching 262. C: Interchanging 24 and 38 results in 46 + 38 - 62 + 228 + 11 = 261, failing to meet the target.
D is correct because substituting 44 in place of 24 and 24 in place of 44 simplifies the equation to 46 + 44 - 62 + 228 + 6, which equals exactly 262.
In mathematical reasoning questions, always prioritize checking terms involving division or multiplication first, as these operations significantly change the outcome of the equation.
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