alleryଯଦି a : b = 2 : 3 ଏବଂ b : c = 4 : 5 ହୁଏ, ତେବେ a : c ସମାନ:
A2 : 5
B3 : 4
C8 : 15
D5 : 8
Answer & Solution
Correct answer: C. 8 : 15
1. ଉଭୟରେ b ର ମୂଲ୍ୟ ସମାନ ନହେବା ପର୍ଯ୍ୟନ୍ତ ଦୁଇଟି ଅନୁପାତକୁ ସଂଯୋଗ କରାଯାଇପାରିବ ନାହିଁ।
2. ପ୍ରଥମରେ b ହେଉଛି 3 ଏବଂ ଦ୍ୱିତୀୟରେ b ହେଉଛି 4, ତେଣୁ ପ୍ରତ୍ୟେକକୁ ସେମାନଙ୍କ LCM, 12 କୁ ପରିବର୍ତ୍ତନ କରନ୍ତୁ।
3. ପ୍ରଥମକୁ 4 ଦ୍ୱାରା ଗୁଣନ କରନ୍ତୁ: a : b = 8 : 12।
4. ଦ୍ୱିତୀୟକୁ 3 ଦ୍ୱାରା ଗୁଣନ କରନ୍ତୁ: b : c = 12 : 15।
5. ବର୍ତ୍ତମାନ a : b : c = 8 : 12 : 15, ତେଣୁ a : c = 8 : 15। b କୁ ସମାନ ନକରି କେବଳ ବାହ୍ୟ ପଦଗୁଡ଼ିକୁ ଗୁଣନ କରିବା ଫଳରେ 2 : 5 ଉତ୍ତର ଆସିଥାଏ।
_ଉତ୍ସ: ପାଠ୍ୟକ୍ରମ Maths, ଅଧ୍ୟାୟ 7 'Comparing Quantities', S7.1 Recalling Ratios and Percentages_
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