Latest CAT Aptitude Question SOLUTION: If the letters of the English alphabet, in the order A to Z, are made to represent 26 numbers which are in Arithmetic progression. The Sum of the numbers representing A, C and E is

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If the letters of the English alphabet, in the order A to Z, are made to represent 26 numbers which are in Arithmetic progression. The Sum of the numbers representing A, C and E is 36 while that of A, C, E and G is 60. What is the sum of the numbers representing B, D, F and H?

Asked In CAT Devendra Marghade (12 years ago)

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Vivek Tiwari  (12 years ago)

lets the letters are a,b,c,d,e,f,g,h
The sum of a+c+e=36
the sum of a+c+e+g=60
Then substract first with second u get g=24
Here we have to think which term we should take to make the A.P thats gth term(means 7th term )will be 24 and sum of first three alternate term is 36.If we take a=6 and common differance of d=3 then the formula will satisfy(7th term(24)=a+6d)...So finally the series is 6,9,12,15,18,21,24,27(a,b,c,d,e,f,g,h).
SO the sum of B+D+F+H=9+15+21+27=72

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Garima  (12 years ago)

Numbers are

6,9,12,15,18,21,24,27

a+a+2d+a+4d =36 or 3a+6d= 36
a+a+2d+a+4d+a+6d = 60

solving these eqns, we get
a=6
d=3
B+D+F+H = 9+15+21+27 = 72

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