Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
Which two numbers should be interchanged to make the given equation correct? 186тИТ82+(129├╖3)тИТ6├Ч8+(31тИТ19)├Ч2=85 (Note: Interchange should be done of entire number and not individual digits of a given number.)
186 and 129
8 and 19
2 and 6
82 and 31
186 and 129
Test options by substituting the numbers in the equation and evaluating using BODMAS. Start with the numbers that appear in division or multiplication positions to quickly find valid integer outcomes.
Test options by substituting the numbers in the equation and evaluating using BODMAS. Start with the numbers that appear in division or multiplication positions to quickly find valid integer outcomes.
Analyze the Original Equation
The given equation is 186 - 82 + (129 / 3) - 6 * 8 + (31 - 19) * 2 = 85. We need to find which pair of numbers when swapped makes the equation correct.
Test Option A (186 and 129)
Replacing 186 with 129 and 129 with 186 gives: 129 - 82 + (186 / 3) - 6 * 8 + (31 - 19) * 2. Evaluating step-by-step: (186 / 3) = 62; (31 - 19) = 12; 6 * 8 = 48; 12 * 2 = 24. Thus, 129 - 82 + 62 - 48 + 24 = 47 + 62 - 48 + 24 = 109 - 48 + 24 = 61 + 24 = 85, which matches the RHS.
B: Interchanging 8 and 19 does not satisfy the equation. C: Interchanging 2 and 6 results in an incorrect value. D: Interchanging 82 and 31 does not yield 85.
A is correct because interchanging 186 and 129 correctly balances the equation to 85.
When testing number interchange options, always check division terms first to ensure the resulting numbers are cleanly divisible.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants