In a triangle ABC angle 39 a 39 is the smallest one amp A 7B 112 Find the range of value 39 c 39 ........

Quantitative Aptitude ( CCS) Mensuration 2D

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In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ?

138 to 164

125 to 147

148 to 158

152 to 164

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Explanation:

A+7B=112

it is clear that A = 14, then it becomes A>=B, but A is smallest angle) given
so, range of A is 0.0001 to 13.9999 ( I am taking upto 4 decimal places)
so, range of B becomes 14 to 16 ( after rounding off to 4 decimal places)
so, range of C becomes 152 to 164 ( after rounding off to 4 decimal places)

Hence, option 4 is the correct answer.