Question

Observe the pattern and fill in the blanks.
$\begin{align}
  & 2\times 200=400 \\
 & 3\times 200=600 \\
 & 4\times 200=800 \\
 & 5\times 200=1000 \\
 & 6\times 200=\_\_\_\_ \\
 & 7\times 200=\_\_\_\_ \\
 & 8\times 200=\_\_\_\_ \\
 & 9\times 200=\_\_\_\_ \\
 & 10\times 200=\_\_\_\_ \\
 & 11\times 200=\_\_\_\_ \\
 & 14\times 200=\_\_\_\_ \\
 & 15\times 200=\_\_\_\_ \\
 & 25\times 200=\_\_\_\_ \\
 & 27\times 200=\_\_\_\_ \\
 & 39\times 200=\_\_\_\_ \\
 & 48\times 200=\_\_\_\_ \\
 & 50\times 200=\_\_\_\_ \\
\end{align}$ \[\begin{align}
  & 2\times 300=600 \\
 & 3\times 300=900 \\
 & 4\times 300=1200 \\
 & 5\times 300=1500 \\
 & 6\times 300=\_\_\_\_ \\
 & 7\times 300=\_\_\_\_ \\
 & 8\times 300=\_\_\_\_ \\
 & 9\times 300=\_\_\_\_ \\
 & 10\times 300=\_\_\_\_ \\
 & 11\times 300=\_\_\_\_ \\
 & 14\times 300=\_\_\_\_ \\
 & 15\times 300=\_\_\_\_ \\
 & 25\times 300=\_\_\_\_ \\
 & 27\times 300=\_\_\_\_ \\
 & 39\times 300=\_\_\_\_ \\
 & 48\times 300=\_\_\_\_ \\
 & 50\times 300=\_\_\_\_ \\
\end{align}\] $\begin{align}
  & 2\times 200=800 \\
 & 3\times 200=1200 \\
 & 4\times 400=1600 \\
 & 5\times 400=2000 \\
 & 6\times 400=\_\_\_\_ \\
 & 7\times 400=\_\_\_\_ \\
 & 8\times 400=\_\_\_\_ \\
 & 9\times 400=\_\_\_\_ \\
 & 10\times 400=\_\_\_\_ \\
 & 11\times 400=\_\_\_\_ \\
 & 14\times 400=\_\_\_\_ \\
 & 15\times 400=\_\_\_\_ \\
 & 25\times 400=\_\_\_\_ \\
 & 27\times 400=\_\_\_\_ \\
 & 39\times 400=\_\_\_\_ \\
 & 48\times 400=\_\_\_\_ \\
 & 50\times 400=\_\_\_\_ \\
\end{align}$

Answer 1

Hint: We will carefully observe the given pattern and fill the blanks accordingly. As in first column, we have
 $\begin{align}
  & 2\times 200=400 \\
 & 3\times 200=600 \\
 & 4\times 200=800 \\
 & 5\times 200=1000 \\
 & 6\times 200=\_\_\_\_ \\
\end{align}$
The last blank will be filled by 1200 as $6\times 200=1200$. And we will find all the blanks accordingly.

Complete step by step answer:

It is given in the question that we have to fill the blanks accordingly. If we observe the pattern we can conclude that it is just the multiplication accordingly thus we will simply multiply the given terms accordingly. Basically multiplication is a mathematical operation where a number is added to itself a number of times. The multiplicand is the number being multiplied and. the multiplier is the number doing the multiplying. We will multiply the given number to fill the blank one by one.
$\begin{align}
  & 2\times 200=400 \\
 & 3\times 200=600 \\
 & 4\times 200=800 \\
 & 5\times 200=1000 \\
 & 6\times 200=1200 \\
 & 7\times 200=1400 \\
 & 8\times 200=1600 \\
 & 9\times 200=1800 \\
 & 10\times 200=2000 \\
 & 11\times 200=2200 \\
 & 14\times 200=2800 \\
 & 15\times 200=3000 \\
 & 25\times 200=5000 \\
 & 27\times 200=5400 \\
 & 39\times 200=7800 \\
 & 48\times 200=9600 \\
 & 50\times 200=10000 \\
\end{align}$ \[\begin{align}
  & 2\times 300=600 \\
 & 3\times 300=900 \\
 & 4\times 300=1200 \\
 & 5\times 300=1500 \\
 & 6\times 300=1800 \\
 & 7\times 300=2100 \\
 & 8\times 300=2400 \\
 & 9\times 300=2700 \\
 & 10\times 300=3000 \\
 & 11\times 300=3300 \\
 & 14\times 300=4200 \\
 & 15\times 300=4500 \\
 & 25\times 300=7500 \\
 & 27\times 300=8100 \\
 & 39\times 300=11700 \\
 & 48\times 300=14400 \\
 & 50\times 300=15000 \\
\end{align}\] $\begin{align}
  & 2\times 200=800 \\
 & 3\times 200=1200 \\
 & 4\times 400=1600 \\
 & 5\times 400=2000 \\
 & 6\times 400=2400 \\
 & 7\times 400=2800 \\
 & 8\times 400=3200 \\
 & 9\times 400=3600 \\
 & 10\times 400=4000 \\
 & 11\times 400=4400 \\
 & 14\times 400=5600 \\
 & 15\times 400=6000 \\
 & 25\times 400=10000 \\
 & 27\times 400=10800 \\
 & 39\times 400=15600 \\
 & 48\times 400=19200 \\
 & 50\times 400=20000 \\
\end{align}$

Note: This is a very basic question of mathematics in which we just have to multiply the given terms and fill the blank accordingly but most of the students fill the blanks incorrectly, and even due to complex blanks student may fill the value of one term into another and the answer will be mixed which result in incorrect answer. So, it is recommended to do calculation step by step in order to avoid mistakes. Always try to answer 1 equation at a time, and ensure that you fill the answer into the blank of that equation only, and not some other equation.