CAT Exam

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?

Read Solution (Total 2)

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
12 years agoHelpfull: Yes(4) No(1)

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
12 years agoHelpfull: Yes(3) No(2)

CAT Other Question

A group of students is to be divided into some rows such that all the rows have an equal number of students. When 7 students are put in each row, 3 students are left; when 8 students are put in each row, 5 students are left; and when 9 students are put in each row, 7 students are left. If 12 students are put in each row, then how many students will be left? The pages of a book are numbered 1 to n, where n is a natural number. The total number of times the digit 3 is used while printing all the page numbers is 184. What is the value of n?