Question

Find the following:
$\begin{align}
  & 5+3+2=151022 \\
 & 9+2+4=183652 \\
 & 8+6+3=482466 \\
 & 5+4+5=202541 \\
\end{align}$
Then,
$7+2+5=????$

Answer 1

Hint:
We have to find $7+2+5$ taking the reference of above problems. Then we can see that, $5+3+2=151022$, in this we can see, $5\times 3=15$, $5\times 2=10$ and $5\times (2+3)-3=22$. Check whether the same goes for all remaining three. Therefore, apply for $7+2+5$. Try it, you will get the answer.

Complete step by step solution:
Now we are given four expressions.
Now the answer for every statement is a six digit one. Let us split them into three two digit numbers.
First let us take $5+3+2=151022$,
In this number,$15$ corresponds to $5\times 3$,which is the product of the first two numbers.
Also, here we can see that,$10$ corresponds to $5\times 2$,which is the product of first and the last number.
Therefore, $22$can be written as $5\times (2+3)-3$, which is the first number times the sum of the other two numbers minus the second number.
Now let us check for other expression that is the pattern right or wrong,
$9+2+4=183652$
For this we can see that, $9\times 2=18$, $9\times 4=36$ and $9\times (2+4)-2=52$.
We get this pattern as correct.
Now taking $8+6+3=482466$,
We get, $8\times 6=48$, $8\times 3=24$ and $8\times (6+3)-6=66$.
Also, this pattern is correct.
Also, $5+4+5=202541$,
Here, we can say that, $5\times 4=20$, $5\times 5=25$ and $5\times (4+5)-4=41$.
This is also a right pattern.
Similarly, we get all as in same form so applying it for $7+2+5$ we get,
For first two digit taking product of first two numbers i.e. $7\times 2=14$.
After that, taking product of first and last number we get,
$7\times 5=35$
Here, first number times the sum of the other two numbers minus the second number.
We get,
$7\times (2+5)-2=47$

Therefore, we get the final answer as, $7+2+5=143547$.

Note:
This type of problem is commonly asked in competitive exams. This whole area is called reasoning. There are different types of reasoning questions. Some of them are logical reasoning, blood relation reasoning, calendar reasoning, clock reasoning and Numbers.