Question

If \[1 - 3 + 4 = 1000,{\text{ }}4 - 6 + 9 = 999,{\text{ }}2 - 6 + 7 = 876\] then \[3 - 3 + 6 = \]?

Answer 1

Hint: This kind of problem is related to mathematical aptitude. This kind of question requires you to think in multiple ways to get the sequences correct. Here they give some relation on numbers here we use simple mathematical arithmetic calculation and it does n't need any formula and methods to solve. Basic numerical ability and has to think in a simple manner to get the process and answer by the given numbers and we solve by complete step by step explanation.

Complete step-by-step answer:
Now take \[1 - 3 + 4 = 1000\]
By solving by arithmetic calculation, we get
\[1 + 1 = 1000\]
$2 = 1000 - - - - - - - - - (1)$
Similarly by solving arithmetic calculation, we get
\[4 - 6 + 9 = 999\]
Simplifying we get,
$4 + 3 = 999$
Adding the terms we get,
$7 = 999 - - - - - - - (2)$
Similarly solving arithmetic calculation, we get
$2 - 6 + 7 = 876$
$3 = 876 - - - - - - - - - - (3)$
Now we have to arrange (2,7,3) as it must give us answer 6.
Because similarly applying for \[{\text{ }}3 - 3 + 6\]
We get 6.
After rearranging (2, 7, 3) in the pattern of
Similarly by solving arithmetic calculation, we get
\[7 - 3 + 2 = 6\]
\[7 - 3 + 2 - - - - - - (4)\]
Instead of \[{\text{ }}3 - 3 + 6\] we replace \[7 - 3 + 2\]
Substitute equation (1), (2), (3) in equation (4), we get
\[ = 999 - 876 + 100\]
By mathematical calculation we get
\[ = 220\]
Hence,
\[\therefore 3 - 3 + 6 = 220\]

The required value is 220.

Note: This kind of problem needs attention on basic arithmetic calculation and multiple ways of thinking. This will be mostly asked on aptitude questions which will come under numerical ability. The numbers given here don't have any connection and do not require any formula to solve. The basic mathematical aptitude has played an important standard in the presence of numbers which has to be identified by manually in the process of mathematical identities.