Question Detail

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

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

1. A number when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 31

Answer: Option A

Explanation:

P ÷ 44 = 432

=> P = 432 * 44 = 19008

P / 31 = 19008 / 31 = 613, remainder = 5

2. What is the largest 4 digit number exactly divisible by 88

9900
9999
9988
9944

Answer: Option D

Explanation:

Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944

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

Answer: Option C

Explanation:

(1056 / 23) gives remainder 21

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

4. What is the unit digit in
$\begin{aligned} (6324)^{1797} \times (615)^{316} \times (341)^{476} \end{aligned}$

Answer: Option D

5. The greatest number by which the product of three consecutive multiples of 3 is always

Answer: Option C

Explanation:

3*6*9 = 162

manojkumar 11 years ago

i dont understand this answer

Question Detail

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

1. A number when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 31

2. What is the largest 4 digit number exactly divisible by 88

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

4. What is the unit digit in
$\begin{aligned} (6324)^{1797} \times (615)^{316} \times (341)^{476} \end{aligned}$

5. The greatest number by which the product of three consecutive multiples of 3 is always

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manojkumar 11 years ago

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Question Detail

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

1. A number when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 31

2. What is the largest 4 digit number exactly divisible by 88

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

4. What is the unit digit in (6324)1797×(615)316×(341)476\begin{aligned} (6324)^{1797} \times (615)^{316} \times (341)^{476} \end{aligned}

5. The greatest number by which the product of three consecutive multiples of 3 is always

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manojkumar 11 years ago

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

4. What is the unit digit in
$\begin{aligned} (6324)^{1797} \times (615)^{316} \times (341)^{476} \end{aligned}$