#Sequence & Series-1

The digits of a three-digit number are in G.P. when the digits of this number are reversed and this resultant number is subtracted from original number the difference comes out to be 792. The actual number is-
(a)842
(b)961
(c)421
(d)931

SOLUTION-

Approach-1:-
Let the number be xyz.
Now,according to the question,
(100x+10y+z) -  (100z+10y+x) = 792
99x-99z=792
(x - z) = 8 --------(1)
 Now we can use options to solve this equation 
As, (x - z) = 8
only option (b) and (d) satisfies the criteria and among these options only option (d) have numbers in G.P.
So, option (d) will be the answer.

Approach-2:-

As the numbers are in G.P., only options (a),(c) and (d) satisfies the criteria.
Option (a), 842 - 248 = 594
Option (c), 421 - 124 = 297
Option (d), 931 - 139 = 792
So option (d) will be the answer.

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