What is the number of rectangles in the following figure?

Correct Answer: 40 triangles, 7 Squares

Explanation:

The figure may be labelled as shown 

 

 

Triangles :

 

The Simplest triangles are BGM, GHM, HAM, ABM, GIN, IJN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e 18 in number

 

The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ,LJI, LKD, KDE, DEL and ELK i.e 16 in number.

 

The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e 6 in number.

 

Total number of triangles in the figure = 18 + 16 + 6 =40.

 

Squares :

 

The Squares composed of two components each are MGNH, NIOJ, and OKPL i.e 3 in number

 

The Squares composed of four components each are BGHA, GIJH, IKJL and KDEL i.e 4 in number

 

Total number of squares in the figure = 3 + 4 =7

Correct Answer: 15 - 20

Explanation:

About 15 - 20 blocks become a 1 mile. City blocks differ in sizes. They do not have a standard measurement. Every geographical area has its own average city block size.

A city block is a rectangular area in a city with several buildings with the streets around. It is also called "block" which, in a dictionary, is defined as an informal unit of distance from one intersection to the next.

 

Correct Answer: 10

Explanation:

The given figure can be labelled as :

   

The simplest triangles are AJF, FBG, HDI, GCH and JEI i.e 5 in number.
The triangles composed of the three components each are AIC, FCE, ADG, EBH and DJB i.e 5 in number.
Thus, there are 5 + 5 = 10 triangles in the given figure.

Correct Answer: 14

Explanation:

The given figure can be labelled as shown :

       

The horizontal lines are AK, BJ, CI, DH and EG i.e. 5 in number.
The vertical lines are AE, LF and KG i.e. 3 in number.
The slanting lines are LC, CF, FI, LI, EK and AG i.e. 6 in number.
Thus, there are 5 + 3 + 6 = 14 straight lines in the figure.

Correct Answer: 3

Explanation:

The given figure can be labelled as shown :

The spaces P, Q and R have to be shaded by three different colours definitely (since each of these three spaces lies adjacent to the other two).
Now, in order that no two adjacent spaces be shaded by the same colour, the spaces T, U and S must be shaded with the colours of the spaces P, Q and R respectively.
Also the spaces X, V and W must be shaded with the colours of the spaces S, T and U respectively i.e. with the colours of the spaces R, P and Q respectively. Thus, minimum three colour pencils are required.

Correct Answer: Ampersand

Explanation:

'&' is a Logical Symbol and is called as Ampersand.

 

^ is called Caret

- is called Bar

v is called Reversed Caret.