The units digit in the product 771- 659- 365 is

The correct option is D 47^4 gives units digit 1 7^71 = 7^4^17× nbsp; 7^3 which gives units digit as 3 6^59 gives units place as 6 3^4 gives units digit as 1 ...

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Quantitative Aptitude

Unit Digit of a Number

The units dig...

Question

The units digit in the product $(7^{71} \times 6^{59} \times 3^{65})$ is

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Solution

The correct option is C 4
$7^{4}$ gives units digit 1
$7^{71} = 7^{4^{17}} \times 7^{3}$ which gives units digit as 3
$6^{59}$ gives units place as 6
$3^{4}$ gives units digit as 1
$3^{65} = 3^{4^{16}} \times 3$ which gives units digit as 3
So $3 \times 6 \times 3$ gives units digit as 4

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The units digit in the product (771×659×365) is

The correct option is C 474 gives units digit 1 771=7417×73 which gives units digit as 3 659 gives units place as 6 34 gives units digit as 1 365=3416×3 which gives units digit as 3 So 3×6×3 gives units digit as 4

The units digit in the product $(7^{71} \times 6^{59} \times 3^{65})$ is

The correct option is C 4
$7^{4}$ gives units digit 1
$7^{71} = 7^{4^{17}} \times 7^{3}$ which gives units digit as 3
$6^{59}$ gives units place as 6
$3^{4}$ gives units digit as 1
$3^{65} = 3^{4^{16}} \times 3$ which gives units digit as 3
So $3 \times 6 \times 3$ gives units digit as 4