A) 64 degree
B) 62 degree
C) 56 degree
D) None of these
Correct Answer: A
Solution :
Let the temperatures on first, second, third, fourth and fifth day be \[{{x}_{1}},{{x}_{2}},{{x}_{3}},{{x}_{4}}\]and \[{{x}_{5}}\],respectively. Sum of temperatures of first four days \[=58\times 4\] i.e., \[{{x}_{1}}+{{x}_{2}}+{{x}_{3}}+{{x}_{4}}=232\] ...(i) and sum of temperatures on second, third, fourth and fifth day\[=60\times 4\] i.e., \[{{x}_{2}}+{{x}_{3}}+{{x}_{4}}+{{x}_{5}}=240\] ...(ii) Subtracting (ii) from (i), we get \[{{x}_{5}}-{{x}_{1}}=8\] ...(iii) Also, temperature of first and fifth day were in the ratio 7:8. Let the temperatures be 7k and 8k respectively. From (iii), we have \[8k-7k=8\,\,\Rightarrow \,k=8\] Temperature of fifth day \[=8\times 8=64\] degrees.
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