What do you understand by - 'If K is there L has to be there'

Correct Answer: A line is an undefined term because it

Explanation:

 

1. Contains an infinite number of points

2. can be used to create other geometric shapes

3. is a term that does not have a formal definition

 

In Geometry, unless it's stated, a line will extend in one dimension and goes on forever in both ways.

Correct Answer: line segment

Correct Answer: 5

Explanation:

A regular Pentagon have 5 sides and 5 lines of symmetry. 

• The number of lines of symmetry in a regular polygon is equal to the number of sides.

Correct Answer: 21

Explanation:

The simplest triangles are AKI, AIL, EKD, LFB, DJC, DKJ, KIJ, ILJ, JLB, BJC, DHC and BCG i.e. 12 in number.
The triangles composed of two components each are AKJ, ALJ, AKL, ADJ, AJB and DBC i.e. 6 in number.
The triangles composed of the three components each are ADC and ABC i.e. 2 in number.
There is only one triangle i.e. ADB composed of four components.
Thus, there are 12 + 6 + 2 + 1 = 21 triangles in the figure.

Correct Answer: 78

Explanation:

8(6+5) - 10 = ?

? = 8(11) - 10

? = 88 - 10

? = 78.

Correct Answer: 19

Explanation:

The given figure can be labelled as :

   

Straight lines :

The number of straight lines are 19

i.e. BC, CD, BD, AF, FE, AE, AB, GH, IJ, KL, DE, AG, BH, HI, GJ, IL, JK, KE and DL.

Correct Answer: J, L

Explanation:

This question concerns a committee's decision about which five of eight areas of expenditure to reduce. The question requires you to suppose that K and N are among the areas that are to be reduced, and then to determine which pair of areas could not also be among the five areas that are reduced.

The fourth condition given in the passage on which this question is based requires that exactly two of K, N, and J are reduced. Since the question asks us to suppose that both K and N are reduced, we know that J must not be reduced:

Reduced         ::      K, N
Not reduced   ::      J

The second condition requires that if L is reduced, neither N nor O is reduced. So L and N cannot both be reduced. Here, since N is reduced, we know that L cannot be. Thus, adding this to what we've determined so far, we know that J and L are a pair of areas that cannot both be reduced if both K and N are reduced:

Reduced        ::      K, N
Not reduced  ::      J, L

Answer choice (B) is therefore the correct answer.

Correct Answer: yellow

Explanation:

We may label the figure as shown.

The Simplest triangles are AFB, FEB, EBC, DEC, DFB and AFD i.e 6 in number.

The triangles composed of two components each are AEB, FBC, DFC, ADE, DBE and ABD i.e 6 in number.

The triangles composed of three components each are ADC and ABC i.e 2 in number.

There is only one triangle i.e DBC which is composed of four components.

Thus, there are 6 + 6 + 2 + 1 = 15 triangles in the figure

Correct Answer: C)

Explanation:

Correct Answer: LS

Explanation:

1 and 4, 2and 5, 3 and 6. In both first alphabet is same and second alphabet follows the order.