Question Detail

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is

22030
220030
23030
24030

Answer: Option B

Explanation:

(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030

1. Which is smallest prime number

Answer: Option B

2. Which of the following is a prime number

Answer: Option B

Explanation:

A prime number is a natural number greater than 1 which has no positive divisors other than 1 or itself.
So from above options 2 is that number

3. For the integer n, if nnn 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

4. 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

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

Answer: Option D

Question Detail

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is

1. Which is smallest prime number

2. Which of the following is a prime number

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

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

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

3. For the integer n, if nnn is odd, then what is true

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

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