1. What least number must be subtracted from 427398 so that remaining number is divisible by 15
3
5
7
9
Answer: Option A
Explanation:
On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted
2. How many terms are there in 2,4,8,16,....,1024
7
8
9
10
Answer: Option D
Explanation:
It is a GP. with r = 2, ie \begin{aligned} 2^1, 2^2, 2^3... \end{aligned}
If number of terms is n. Then,
\begin{aligned} 2 \times 2^{n-1} = 1024 \end{aligned} =>
\begin{aligned} 2^{n-1} = 512 \end{aligned}
or \begin{aligned} 2 \times 2^{n-1} = 2^9 \end{aligned}
so n-1 = 9 => n = 10
3. 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
4. What is the unit digit in
\begin{aligned}
(6324)^{1797} \times (615)^{316} \times (341)^{476}
\end{aligned}