InterviewSolution
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InterviewSolution
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Which is the digit at unit place of the product \(({\rm{ }}{{\bf{5}}^{{\bf{41}}}} \times {{\bf{7}}^{{\bf{69}}}} \times {{\bf{3}}^{{\bf{57}}}})\) ?1. 72. 53. 34. 1 |
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Answer» Correct Answer - Option 2 : 5 For unit digit divide the power of any integer by 4 and the remainder is the cycle for unit digit of the number ∴ Unit digit of 541 ⇒ 41/4 = 1 is the remainder i.e. cycle of 1 ⇒ 51 = 5 Unit digit of 769 ⇒ 69/4 = 1 is the remainder ⇒ 71 = 7 Unit digit of 357 ⇒ 57/4 = 1 is the remainder ⇒ 31 = 3 ∴ Unit digit of 541 × 769 × 357 = 5 × 7 × 3 = 105 or 5 is the unit digit
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