ଯଦି 7-ଅଙ୍କ ବିଶିଷ୍ଟ ସଂଖ୍ୟା 5432y71, 9 ଦ୍ୱାରା ବିଭାଜ୍ୟ ହୁଏ, ତେବେ y ର ଏକ-ଅଙ୍କ ବିଶିଷ୍ଟ ମୂଲ୍ୟ କେତେ?
A5
B6
C7
D4
Answer & Solution
Correct answer: A. 5
ଗୋଟିଏ ସଂଖ୍ୟା 9 ଦ୍ୱାରା ବିଭାଜ୍ୟ ହେବ ଯଦି ଏବଂ କେବଳ ଯଦି ଏହାର ଅଙ୍କଗୁଡ଼ିକର ଯୋଗଫଳ 9 ଦ୍ୱାରା ବିଭାଜ୍ୟ ହୁଏ।
ଅଙ୍କଗୁଡ଼ିକର ଯୋଗଫଳ = 5 + 4 + 3 + 2 + y + 7 + 1 = 22 + y।
22 + y, 9 ଦ୍ୱାରା ବିଭାଜ୍ୟ ହେବା ପାଇଁ, 22 ସହିତ ସମାନ ବା ତା'ଠାରୁ ବଡ଼ 9 ର ନିକଟତମ ଗୁଣିତକ ହେଉଛି 27।
22 + y = 27 => y = 5।
ଯେହେତୁ y ଏକ ଏକକ ଅଙ୍କ (0 <= y <= 9), ତେଣୁ y = 5 ହେଉଛି ଏକମାତ୍ର ବୈଧ ମୂଲ୍ୟ।
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