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GATE 2014 EC (EC4) – Question 5

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 1 mark · Numerical answer

In a sequence of 12 consecutive odd numbers, the sum of the first five is 425. Find the sum of the last five.

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Correct answer: 495 to 495

Explanation

Let the first odd number be a. The first five sum to5a+2(0+1+2+3+4)=5a+20=425, giving a=81. The last five are terms8through12, with offsets14,16,18,20,22. Their sum is5×81+90=**495**.