Question

If \[3 + 5 + 6 = 151872,5 + 5 + 6 = 253094,5 + 6 + 7 = 303585,5 + 5 + 3 = 251573\], Then, \[9 + 4 + 7 = ?\]

Answer 1

Hint: To solve the given question we use concepts of logical reasoning. As the given sum of numbers are not accurate(using mathematical operations), they were written using some logic of sequence. Therefore we find that logic analyzing the sequence of numbers given and find the sum of the given values.

Complete step-by-step answer:
We are given that
\[3 + 5 + 6 = 151872\]
As we observe and split the sum into set of three two-digit numbers we get \[15,18,72\]
And on analyzing we observe the numbers on L.H.S we see that
Product of first two numbers i.e., \[3 \times 5 = 15\] and \[3 \times 6 = 18\]
And the last number \[72\] is obtained by the logic (product of first and second digit + product of first and third digit-last digit)
\[15 + 18 - 6 = 27\] where reversing the number we get \[72\]
Therefore all above stated are logic of sequence
Similarly we observe the same for the remaining
\[ \Rightarrow \]\[5 + 5 + 6 = 253094\]
\[5 \times 5 = 25\]
\[5 \times 6 = 30\]
\[25 + 30 - 6 = 49 \Rightarrow 94\](on reversing digits)
Writing all these together we get \[253094\]
\[ \Rightarrow \]\[5 + 6 + 7 = 303585\]
\[5 \times 6 = 30\]
\[5 \times 7 = 35\]
\[30 + 35 - 7 = 58 \Rightarrow 85\](on reversing digits)
Therefore writing all these together we get \[303585\]
\[ \Rightarrow 5 + 5 + 3 = 251573\]
\[5 \times 5 = 25\]
\[5 \times 3 = 15\]
\[25 + 15 - 3 = 37 \Rightarrow 73\](on reversing the digits)
Therefore writing all these together we get \[251573\]
Now we find the value of \[9 + 4 + 7 = ?\]
According to the logic we drew ,we write the above sum of digits as
Firstly as we multiply the first digit and second digit we get
\[ \to 9 \times 4 = 36\]
Then we multiply the first and third digit we get
\[ \to 9 \times 7 = 63\]
Then we add these both and subtract it from the last digit, we get
\[ \Rightarrow 36 + 63 - 7 = 92\] the we reverse the digits of this number
We get \[ \Rightarrow 29\]
Now we write these three two-digit numbers together
\[ \Rightarrow 9 + 4 + 7 = 366329\]
Therefore the answer is \[366329\] .
So, the correct answer is “\[366329\]”.

Note: -Students usually get confused solving these types of logical questions. While solving these types of questions, analyze the sequence and then check if that logic of sequence is being satisfied by all the given values, but before arriving at a conclusion just make sure that you check all the sequence before deciding the pattern else there might be a chance of an error.