Solved Puzzles - Page 80 of 94

How many triangles #5

January 17, 2013 by puzzler Leave a Comment

1.) How many triangles are there in this triangle ?

how many triangles in this triangle

See Answer

Answer: There are a total of 47 triangles

How?
Lets count…
By looking at it, first impression is … its very simple, But mind you! its not that easy !!!
So lets stick to the divide and conquer approach, we will divide this triangle into 3 equal triangles(triangle formed by connecting outer side to the center of the circle) and will count the number of triangles in each part and then by taking two or more parts together.

Number of triangles in one part: 4(non overlapping) + 3(overlapping) = 7 * 3 = 21
Number of triangles by taking two parts together: 8 = 8 * 3 = 24
Number of triangles by taking all three parts together: 2

Thus, total number of triangles in this puzzle are : 21+24+2= 47

How many squares #4

January 15, 2013 by puzzler Leave a Comment

1.) How many squares do you see in this picture ?

how many squares do you see here

See Answer

Answer with solution

As all the sides are either horizontal or vertical we can say squares diagonals should be parallel. Now to see if the diagonals are parallel or not, i have drawn the diagonals where its not clear if it is a square or rectangle in the image below.

You can see i have labelled few sides as x and y to help you.

So,
Number of squares with side x/2 = 4
Number of squares with side x = 4
Number of squares with side y = 3
Number of squares with side x+y = 6
Number of squares with side x+y = 0
Number of squares with side x+2y = 1
Number of squares with side 2x+2y = 1

Thus, Total number of squares in above puzzle are 19.

Number Puzzle #4

January 15, 2013 by Ankur 2 Comments

6 – 1 x 0 + 2 / 2 = ?

See Answer

Answer with Explanation

Given
6 – 1 x 0 + 2 / 2
= 6 – 0 + 1
= 7

So answer to above number puzzle is 7

Number Puzzle #3

January 14, 2013 by puzzler 3 Comments

IF 11*11 = 4, 12*12 = 9, Then 13*13 = ?

See Answer

Answer with Explanation

Given
11×11 = (1+1)*(1+1) = 4
12×12 = (1+2)*(1+2) = 9
13×13 = (1+3)*(1+3) = 16

So answer to above number puzzle is 16

Number Puzzle #2

January 14, 2013 by puzzler 4 Comments

IF 1 =2, 4 20, 6 =42, 9=90, Then 10 =?

See Answer

Answer with Explanation

Given 1 = 1^1 + 1,
4 = 4*4 + 4 = 20
6 = 6*6 + 6 = 42
9 = 9*9 + 9 = 90
10 = 10*10 + 10 = 110

So answer to above number puzzle is 110

Number Puzzle #1

January 14, 2013 by puzzler 7 Comments

IF 1 = 5, 2 = 11, 3 = 36, 4 = 150, Then 5 = ?

See Answer

Answer with Explanation

Given 1 = 5,
2 = 5*2 + (1) = 11
3 = 11*3 + (1 + 2) = 36
4 = 36*4 + (1 + 2 + 3) = 150
5 = 150*5 + (1 + 2 + 3 + 4) = 760

So answer to above number puzzle is 760

How many triangles #4

January 14, 2013 by puzzler 1 Comment

1.) How many triangles do you see in this image ?

how many triangles do you see in this image

See Answer

Answer with Solution

Looking at the symmetry, we can divide this triangle in 5 equal parts(square) and we will first count the number of triangles in each part and then number of triangles formed by combining 2 or more parts together.
Number of triangles in one square: 8(non overlapping triangles) + 8(overlapping triangles with middle lines a part of the triangle) =16*5 = 80
Number of triangles by taking two squares(one middle and one other) at a time: 4*4(there are four such combinations) = 16
Number of triangles by taking (only) three squares(one middle and two others) at a time: 4(all squares should be a part of the triangle) *4(four such combinations) = 16
Number of triangles by taking 4 squares together: 2 *4(four such combinations) = 8

Thus total number of triangles = 80 + 16 + 16 + 8 = 120.

How many triangles #3

January 13, 2013 by puzzler 6 Comments

1.) How many triangles do you see in this picture ?

How many triangles do you see

See Answer

There are a total of 84 triangles

How?
Lets count…
Looking at the symmetry, we can divide this triangle in 4 equal parts(square) and we will first count the number of triangles in each part and then number of triangles formed by combining 2 or more parts together.
Number of triangles in one square: 8(non overlapping triangles) + 4(overlapping triangles with middle lines a part of the triangle) =12
Number of triangles by taking two squares at a time: 6(try a little harder, you will fidn these) * 4(there are four such combinations) = 24
Number of triangles by taking (only) three squares at a time: 1(all squares should be a part of the triangle) *4(four such combinations) = 4
Number of triangles by taking all squares together = 8

Thus total number of triangles = 12*4 + 24 + 4 + 8 = 84.

How many triangles #2

January 12, 2013 by puzzler 1 Comment

1.) How many triangles are there in this picture ?

How many Triangles are there in this picture

See Answer

There are a total of 92 triangles

How?
Lets count…
Looking at the symmetry, we can divide this triangle in 4 equal parts(square) and we will first count the number of triangles in each part and then number of triangles formed by combining 2 or more parts together.
Number of triangles in one square: 8(non overlapping triangles) + 8(overlapping triangles with diagonal a part of one of the side) + 3(diagonal is perpendicular to one of the side of the triangle) =19(You can get it correct after a little hard try)
Number of triangles by taking two squares at a time: 3(common side of square is perpendicular) * 4(there are four such combinations) = 12
Number of triangles by taking three squares at a time: 1(all squares should be a part of the triangle) *4(four such combinations) = 4
Number of triangles by taking all squares together = 0

Thus total number of triangles = 19*4 + 12 + 4 +0 = 92.

How many squares? Part 3

January 10, 2013 by puzzler Leave a Comment

1.) How many squares are in this picture ?

How many squares do you see in this figure

See Answer

There are a total of 16 squares in above figure.

How?
Lets Count..
5 black colored squares.
1 red colored square.
1 blue color square.
4 small green colored squares in middle.
5 large green colored squares.
Thus, a total of 5+1+1+4+5=16 squares.

2.) How many squares are in this picture ?

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1.) How many triangles are there in this triangle ?

Answer: There are a total of 47 triangles

Thus, total number of triangles in this puzzle are : 21+24+2= 47

1.) How many squares do you see in this picture ?

Answer with solution

Thus, Total number of squares in above puzzle are 19.

Answer with Explanation

So answer to above number puzzle is 7

Answer with Explanation

So answer to above number puzzle is 16

Answer with Explanation

So answer to above number puzzle is 110

Answer with Explanation

So answer to above number puzzle is 760

1.) How many triangles do you see in this image ?

Answer with Solution

Thus total number of triangles = 80 + 16 + 16 + 8 = 120.

1.) How many triangles do you see in this picture ?

There are a total of 84 triangles

Thus total number of triangles = 12*4 + 24 + 4 + 8 = 84.

1.) How many triangles are there in this picture ?

There are a total of 92 triangles

Thus total number of triangles = 19*4 + 12 + 4 +0 = 92.

1.) How many squares are in this picture ?

There are a total of 16 squares in above figure.

2.) How many squares are in this picture ?

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