Consider the multiplication 999 times abc def132 in decimal notation where a b c d e and f are digit...........

Quantitative Aptitude (CDS) Number System

Consider the multiplication 999 × abc = def132 in decimal notation, where a, b, c, d, e and f are digits. What are the values of a, b, c, d, e and f respectively?

6, 6, 8, 6, 8, 7

8, 6, 8, 6, 7, 8

6, 8, 8, 7, 8, 6

8, 6, 8, 8, 6, 7

छोटे Courses बड़े Results

Master Number System

Prepare through Micro-courses

Try Now

Explanation:

999 x abc = def132
We can write the above equation as
(1000 – 1) x abc = def132
abc000 – abc = def000 + 132 = (def +1)x 1000 - 868
on comparing the LHS and RHS, we get
a = 8, b = 6, and c = 8 and d = a = 8 , e = b = 6 and f = c – 1 = 8 -1 = 7