Latest Elitmus Aptitude Question SOLUTION: The interior angle of an octagon ABCDEFGH are in AP.if the largest and second largest hav an avg of 153, find the avg of the least two? A)117 B)131 C)141 D)cant be determined

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(#M40017634) ELITMUS Numerical Ability question Keep an EYE

The interior angle of an octagon ABCDEFGH are in AP.if the largest and second largest hav an avg of 153, find the avg of the least two?
A)117
B)131
C)141
D)cant be determined

Asked In Elitmus Akanksha Srivastava (11 years ago)

Solved Vinay Sipani Read Solution (3)

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Vinay Sipani   (11 years ago)

A) 117

let the angles be
a , (a + d) , (a +2d) , (a + 3d) , (a + 4d) , (a + 5d) , (a + 6d) and (a + 7d)

Sum of all angles in octagon = 1080 = 8a + 28d
Avg of (a + 7d) and (a + 6d) = 153 => 2a + 13d = 306

solving both , a = 114 , d = 6

=> Avg of smallest two = (2a + d)/2 = 117

Is this solution Helpfull? Yes (82) | No (1)  

Rohit  (11 years ago)

Say a-3d, a-2d, a-d, a, a+d, a+2d, a+3d, a+4d are angles
Sum = 8a + 4d = 1080 (eq1)
Average of greater 2 = 2a + 7d = 306 (eq2)
Do (eq1/2 - eq2)/2 ..which gives
(a-5d)/2 = 117 which is the average of least 2.

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sruthi kaipa  (11 years ago)

i am getting -63 as answer. what is the answer?

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