What is the 10s digit of 799?a)5b)0c)4d)6Correct answer is option 'C'....
If we see the increasing powers of 7, we observe that there is a general trend that is being followed by the digits in Tens' Place.
7, 49, 343, 2401, 16807, ..49,....43,.....01 and soon.
Hence the series is repeated every 4 terms.
Hence for 99th term, that is 24 x 4 + 3, the digit at Tens' place would he same as that of 3rd term i.e. '4'.
Hence the correct option is (3)
Alternate method:
This question can also be solved by finding remainder when 799 is divided by 100.
N = 799 = 73[74]24 = 73[2401]24
[N/100J = [{73[2401]24}/100JR = [(73)/100]R = 43
Hence the ten's place digit will be 4.