| Find the unit digit in the product \[{{(4387)}^{245}}\times {{(621)}^{72}}\] [SSC (CGL) 2011] |
A) 1
B) 2
C) 5
D) 7
Correct Answer: D
Solution :
| Given, \[{{(4387)}^{245}}\times {{(621)}^{72}}\] |
| To find the unit digit, we have to divide the index of given numbers by 4. |
| In, \[245\div 4.\] Remainder \[=1\] |
| and in \[72\div 4.\] Remainder \[=0\] |
| (when remainder comes 0, the index would be 4) |
| Hence, \[{{(4387)}^{1}}\times {{(621)}^{4}}={{7}^{1}}\times {{1}^{4}}=7\times 1=7\] |
You need to login to perform this action.
You will be redirected in
3 sec
