A) 10 straight lines and 34 triangles | B) 9 straight lines and 34 triangles |

C) 9 straight lines and 36 triangles | D) 10 straight lines and 36 triangles |

Explanation:

The Horizontal lines are DF and BC i.e. 2 in number.

The Vertical lines are DG, AH and FI i.e. 3 in number.

The Slanting lines are AB, AC, BF and DC i.e. 4 in number.

Thus, there are 2 + 3 + 4 = 9 straight lines in the figure.

Now, we shall count the number of triangles in the figure.

The simplest triangles are ADE, AEF, DEK, EFK, DJK, FLK, DJB, FLC, BJG and LIC i.e. 10 in number.

The triangles composed of two components each are ADF, AFK, DFK, ADK, DKB, FCK, BKH, KHC, DGB and FIC i.e. 10 in number.

The triangles composed of three components each are DFJ and DFL i.e. 2 in number.

The triangles composed of four components each are ABK, ACK, BFI, CDG, DFB, DFC and BKC i.e. 7 in number.

The triangles composed of six components each are ABH, ACH, ABF, ACD, BFC and CDB i.e. 6 in number.

There is only one triangle i.e. ABC composed of twelve components.

There are 10 + 10 + 2 + 7 + 6+ 1 = 36 triangles in the figure.

A) line segment | B) vertex |

C) focus | D) major axis |

Explanation:

As parabola is a locus of a point, which moves so that its distance from focus and directrix is always equal.

The latus rectum of a conic section is the chord (line segment) that passes through the focus, is perpendicular to the major axis and has both endpoints on the curve. The length of the latus rectum is determined differently for each conic.

The length of a parabola's latus rectum is 4p, where p is the distance from the focus to the vertex.

**A line** is an undefined term because of it :

**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.

A) 8 - 12 | B) 12 - 15 |

C) 8 - 15 | D) 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.

A) Caret | B) Bar |

C) Ampersand | D) Reversed Caret |

Explanation:

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

**^** is called Caret

**-** is called Bar

**v** is called Reversed Caret.

A) 76 | B) 78 |

C) 80 | D) 82 |

A) I, L | B) J, L |

C) J, M | D) I, J |

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.

A) K & L will always be together | B) K is not there, then L will not be there |

C) k is there, then L will also be there | D) K & L will always be not together |

Explanation:

This would not mean that **K** and **L** will always be together. It just implies that, if **K** is there, then **L** will also be there.

At the same time, it can happen that **L** is there but **K** isn't.

Remember, the condition is on **K**, not on **L**.

A) 4 | B) 5 |

C) 6 | D) 0 |

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.