2 2 votes If $137+276=435$ how much is $731+672?$ $534$ $1403$ $1623$ $1513$ Quantitative Aptitude gate2010-ec quantitative-aptitude number-system + – admin 643 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.
1 1 vote Let radix = r Then, (137)r + (276)r = (435)r In decimal system, => (r²+3r+7) + (2r²+7r+6) = (4r²+3r+5) => (r²+2r²)+(3r+7r)+(7+6) = 4r²+3r+5 => 3r²+10r+13 = 4r²+3r+5 => 3r²+10r+13 -4r²-3r-5 = 0 => -r² +7r +8 = 0 => r²-7r-8 = 0 => r²-8r+r-8 = 0 => r(r-8) +1(r-8) = 0 => (r-8)(r+1) =0 So r = 8 as radix can't be negative. Base of number system is 8 ie, octal number system is given. So in octal number system 731 + 672 is 1623. Biswanidhi answered Sep 23, 2025 Biswanidhi comment Share Follow See 1 comment 1 1 comment reply Saby69 commented Dec 7, 2025 reply Follow flag Too long process. Just see how much is being carried out and what's being left as remainder. Clearly 8 is carry, so its base 8 addition. Then do the same with 731 + 672 which is equal to 1623 0 0 replyShare Please log in or register to add a comment.
0 0 votes its just reverse in order of each number so its 534 kiransuhas answered Sep 25, 2025 kiransuhas comment Share Follow 0 reply Please log in or register to add a comment.
