# Which symbol should replace the question mark?

1,109 views

Which symbol should replace the question mark?

posted Nov 4, 2016

Thanks for the puzzle.

One solution to the puzzle can be like below :-

We can assume the symbols as algebraic and the sum of the symbols are given numerically at the side of some row(s) / column(s)
Therefore,
Star + Rectangle + Star + Rectangle = 44
=> Star + Rectangle = 22 ........ .........(1)
and, 3 * Star + Rectangle = 52 ........ (2)
Solving (1) and (2) we get
Star = 15 and Rectangle = 7
Substituting the values in Triangle + Star + 2 * Rectangle = 32 ........ (3) we get,
Triangle = 3
Therefore, Star + Triangle + Rectangle + ? = 40 can be interpreted as, 15 + 3 + 7 + ? = 40
which is, ? = 15 = Star

Hence, as per above, the question mark can be replaced with a STAR.

Letting star = x
rectangle = y
triangle = z
from the 1st coulumn, I get 3x + y = 52, solving for y, I get y = 52 - 3x
from 2nd row, I get 2x + 2y = 44, substituting y = 52 - 3x in this equation, I get x = 15.
substituting x = 15 in 3x + y = 52, I get y = 7.
Now using column 3, I get x + 2y + z = 32. From this equation I get z = 3.
Finally, from the 4th row, I get x + z + y + w = 40 and substituting x, y, and z, I get w = 15.

This is the same as x which is a star.
Anwer is a Star replaces the question mark (?).

Let star = X, rectangle = Y and triangle = Z
We can write the following equations
2X + 2Y = 44
X+Z+2Y = 32
3X + Y = 52
Solving the system of above equations , gives : X = 15, Y = 7, Z =3
Then we can write the equation
15 + 3 + 7 + ? = 40 , ? = 15

answer Nov 5, 2016 by anonymous

Similar Puzzles

Which number should replace the question mark?

+1 vote

Which number should replace the question mark?

Which number should replace the question mark?

``````1            5          13
29
61         125           ?
``````

Which number should replace the question mark?

``````   47          55          63

85          92          99

73          ?           25
``````
``````   5                      4                         ?