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Find the unit digit in \begin{aligned}
(544)^{102} + (544)^{103}
\end{aligned}

  • 2
  • 4
  • 0
  • 1

Answer: Option C

Explanation:

Required digit is = \begin{aligned}
(4)^{102} + (4)^{103} \end{aligned}
as \begin{aligned} (4)^2 \end{aligned} gives unit digit 6 so \begin{aligned} (4)^{102} \end{aligned} unit digit is 6 and \begin{aligned} (4)^{103} \end{aligned} unit digit is, unit digit of \begin{aligned} 6 \times 4 \end{aligned}= 4, so answer will be unit digit of 6 + 4 = 0

Similar Questions :

1. For the integer n, if n*n*n is odd, then what is true

  • n is odd and n*n is even
  • n*n is odd
  • n is even
  • n*n is odd

Answer: Option A

2. 587 * 999 = ?

  • 586411
  • 586413
  • 486411
  • 486413

Answer: Option B

Explanation:

Trick: 587 * (1000 - 1) = 587000 - 587 = 586413

3. What least number should be added to 1056, so that the sum is completely divisible by 23

  • 4
  • 1
  • 2
  • 3

Answer: Option C

Explanation:

(1056 / 23) gives remainder 21

21 + 2 = 23, So we need to add 2

4. All prime numbers are odd numbers

  • True
  • False

Answer: Option B

Explanation:

It is false, 2 is an even number

5. Find the unit digit in \begin{aligned}
(544)^{102} + (544)^{103}
\end{aligned}

  • 2
  • 4
  • 0
  • 1

Answer: Option C

Explanation:

Required digit is = \begin{aligned}
(4)^{102} + (4)^{103} \end{aligned}
as \begin{aligned} (4)^2 \end{aligned} gives unit digit 6 so \begin{aligned} (4)^{102} \end{aligned} unit digit is 6 and \begin{aligned} (4)^{103} \end{aligned} unit digit is, unit digit of \begin{aligned} 6 \times 4 \end{aligned}= 4, so answer will be unit digit of 6 + 4 = 0

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