Question 1

Count the number of triangles and squares in the given figure.

Accepted Answer

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

Question 2

What is the number of rectangles in the following figure?

Accepted Answer

The simplest rectangles are AEHG, EFJH, FBKJ, JKCL and GILD i.e 5 in number. The rectangles composed of two components each are AFJG and FBCL i.e 2 in number Only one rectangle namely AFLD is composed of three components and only one rectangle namely ABCD is composed of five components. Thus, there are 5 + 2 + 1 + 1 = 9 rectangles in the given figure.

Question 3

How many blocks in a mile?

Accepted Answer

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.

Question 4

Find the number of triangles in the given figure?

Accepted Answer

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.

Question 5

Minimum number of straight lines required to form the below figure?

Accepted Answer

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.

Question 6

What is the minimum number of colour pencils required to fill the spaces in the below figure with no two adjacent spaces have the same colour?

Accepted Answer

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.

Question 7

What does this symbol mean '&'?

Accepted Answer

'&' is a Logical Symbol and is called as Ampersand. ^ is called Caret - is called Bar v is called Reversed Caret.

Question 8

8(6+5) - 10 =?

Accepted Answer

8(6+5) - 10 = ? ? = 8(11) - 10 ? = 88 - 10 ? = 78.

Question 9

Find the number of triangles in the given figure?

Accepted Answer

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.

Question 10

How many lines of symmetry does a Pentagon have?

Accepted Answer

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.

Question 11

What is Latus Rectum of Parabola?

Accepted Answer

The Latus Rectum of a parabola is a specific line segment that has certain properties related to the parabola's focus and vertex. Here's the explanation: Definition of Latus Rectum: The Latus Rectum is a line segment that passes through the focus of the parabola and is perpendicular to the axis of symmetry. It has endpoints on the parabola itself and is used to measure the "width" of the parabola at the focus. Key Properties: The length of the Latus Rectum is proportional to the distance between the vertex and the focus of the parabola. The Latus Rectum is always perpendicular to the axis of symmetry of the parabola. Final answer: The Latus Rectum of a parabola is a line segment passing through the focus and perpendicular to the axis of symmetry. Thus, the correct answer is: A. line segment

Question 12

A line is an undefined term because it

Accepted Answer

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.

Question 13

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

Accepted Answer

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.

Question 14

Find the minimum number of straight lines in the below figure?

Accepted Answer

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.

Question 15

A university library budget committee must reduce exactly five of eight areas of expenditure—I, J, K, L, M, N, O and P—in accordance with the following conditions: If both I and O are reduced, P is also reduced. If L is reduced, neither N nor O is r…

Accepted Answer

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.

Question 16

If white is called black, black is called red, red is called yellow, yellow is called green, green is called blue, blue is called violet and violet is called orange, what would be the colour of human blood?

Accepted Answer

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

Question 17

Select the option that is related ti the third figure in the same way as the second figure is related to the first figure.

Accepted Answer

Question 18

In these tests find which code matches the shape or pattern given at the end of each question.

Accepted Answer

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

Question 19

In the given figure, how many huts are covered and muddy?

Accepted Answer

Question 20

Pankaj is taller than Vinod, who is shorter than Pramod. Usha is taller then priyanka but shorter than Vinod. Pramod is shorter than Pankaj. Who is the tallest?

Accepted Answer

Analytical Reasoning Questions