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Find the unit digit in the product (4387)245 × (621)72.
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- 1
- 2
- 5
- 7
Correct Option: D
As we know that
71 = 7;
72 = 49;
73 = 343;
74 = 2401 ;
75 = 16807
i.e. The unit’s digit repeats itself after power 4.
Remainder after we divide 245 by 4 = 1
∴ Unit’s digit in the product of (4387)245 × (621)72 = Unit’s digit of (4387)245 × Unit digit of (621)72
(621)72 = Unit’s digit of (7)245 × Unit digit of (1)72
(621)72 = Unit’s digit of (7)1 × Unit digit of (1)72
∴ Unit’s digit in the product of (4387)245 × (621)72 = 7 × 1 = 7