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If A denotes the property that two elements of A = {1, 5, 9, 13 …, 1093} add up to 1094, then the maximum number of elements in A can be

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a
126
b
136
c
137
d
138

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detailed solution

Correct option is C

Since the elements in A are in A.P., therefore, the number of elements in A=1093−14+1=274.Since, sum of equidistant terms in A.P. is equal to the sum of first and last term = 1 + 1093 = 1094.⇒ maximum number of elements in A, that add up to 1094 =2742=137.


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