Monday, 30 April 2018

UCEED 18 MSQ SOLUTIONS AND TIPS

 UCEED 18 MSQ  (SECTION B ) SOLUTIONS

UCEED 18  paper is divided into three sections, A, B and C.
Section A (80 Marks) contains a total of 20 Numerical Answer Type (NAT) questions.
Section B (100 Marks) contains a total of 25 Multiple Select Questions (MSQ).
Section C (120 Marks) contains a total of 40 Multiple Choice Questions (MCQ).

IN THIS POST UCEED 18 MSQ  (SECTION B ) SOLUTIONS ARE GIVEN

Q.21 On the left is a photograph. Which option(s) is/are part(s) of that photograph?




ANS On observing we see that B,C,D images are parts of that photograph.


Q.22 If spaces and special characters are ignored in the following text, which country/countries

is/are hidden in the text shown below?

I think the earth’s ecosystem will collapse very soon. Natural resources have been exploited for far

too long at the cost of the wellbeing of humankind, I am afraid. I don’t want to stir another controversy
but I ardently feel that the time has come for us to take urgent actions to save our planet from
manmade disasters.
A. Ghana
B. India
C. Peru
D. Iran



ANS As highlighted India and Iran (i.e, B and D ) are hidden in the text.


Tip : see the first letter of the option in the text for example G of Ghana ,it comes in long,well being, urgent then see the following next letters if that matches with the word Ghana.here the ans is no. Like wise check other options.


Q.23 The CBI is investigating a dangerous gang of three criminals. The criminals are Donga, Tirudan
and Daaku. The investigation team consists of Pradyuman, Daya, Fredricks, Salunkhe, Tarika and Purvi.
Each criminal is to be investigated by exactly two investigators, and each investigator investigates
exactly one criminal. The investigation is to be conducted subject to the following constraints:
Pradyuman and Daya do not investigate the same criminal.
Fredricks and Salunkhe investigate the same criminal.
If Fredricks investigates Tirudan, then Tarika must investigate Daaku.
Given these constrains, which of the following could be the acceptable assignment(s) of investigators
to potential criminals?
A. Fredricks & Salunkhe investigate Tirudan, Pradyuman & Daya investigate Donga and Tarika &
Purvi investigate Daaku
B. Fredricks & Salunkhe investigate Donga, Tarika & Pradyuman investigate Tirudan and Daya &
Purvi investigate Daaku
C. Tarika & Purvi investigate Donga, Fredricks & Pradyuman investigate Tirudan and Salunkhe &
Daya investigate Daaku
D. Daya & Purvi investigate Tirudan, Tarika & Pradyuman investigate Daaku and Fredricks &
Salunkhe investigate Donga.


ANS # As per the first constraint
Pradyuman and Daya do not investigate the same criminal. Option A is incorrect.
# Option B satisfies all constraints ,so it is correct.
#As per the constraint If Fredricks investigates Tirudan, then Tarika must investigate Daaku.
Option C is incorrect. / wrong
# Option D satisfies all constraints , so it is correct.



Q.24 If, 9 + 8 means 9 is the child of 8, and 7 * 6 means that 6 is the wife of 7, then which of the

following statements can be derived from 2 + 3 * 1 + 4 * 5?
A. 2 is the grandchild of 4
B. 1 is the daughter of 5
C. 5 is the grandfather of 3
D. 1 is the mother of 2

ANS Decoding 2 + 3 * 1 + 4 * 5 we can say that
2 is the child of 3 from (2+3)
1 is the wife of 3 from (3*1)
1 is the child of 4 from (1+4)
5 is the wife of 4 from ( 4*5)

Make hierarchy chart from the above information .
5 and 4 are grand parents
1 and 3 are parents
2 is child.

so options A,B,D are correct.
Tip : keep in mind the gender also in solving such problems.
to practice logical reasoning you can visit

          
https://www.indiabix.com/



Q.25 30 circles are given below, with a set of rules:
1. The bigger the circle, the farther away it is from us.
2. The thinner the line of the circle, the closer it is to us.
3. The red circles are farther away from us as compared to the blue circles.
Which of the options given below is/are TRUE?


         

A) Circle 25 is the closest to us
B) Circle 25 is farthest from us
C) Circle 24 is closer to us than circle 14
D) Circle 6 is closer to us than circle 8



ANS From above set of rules we conclude that smaller, thinner and blue circles are closer to us.

# circle 25 is smallest ,thinnest and blue ,so Option A is correct.
# circle 25 is closest therefore can not be farthest, Option B is incorrect.
# circle 24 and 14 are red and 24 is smaller ,so Option C is correct.
# circle 6 is thicker and bigger in size than 8 so it is farther ,Option D is incorrect.

Option A and C are correct ans.



Q.26 Which concept does this image by Escher illustrate?


A. Tessellation
B. Figure and Ground 
C. Mise en Scene
D. Collage

Let's see the terminology of above four concepts
# A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.

# Figure–ground organization is a type of perceptual grouping which is a vital necessity for recognizing objects through vision. In Gestalt psychology it is known as identifying a figure from the background.

# The arrangement of everything that appears in the framing – actors, lighting, décor, props, costume – is called mise-en-scène, a French term that means “placing on stage.” The frame and camerawork are also considered part of the mise-en-scène of a movie.
# Collage is a piece of art made by sticking various different materials such as photographs and pieces of paper or fabric on to a backing.

ANS : from the above definitions option A and B  are correct.

Q.27 Read the passage given below, written by Nick Hughes:
“We tend to treat power as though it is intrinsically valuable. We seek it out and covet it, quite
irrespective of how we might wield it and what it might get us. One need only look at the history of
totalitarian politics to recognise this tendency in its most grotesque form. But power isn’t intrinsically
valuable, it’s only instrumentally valuable – valuable as a means to an end. And whether or not they
are objectively valuable, the ends that matter to us, the things that we care about most – our
relationships, our projects and goals, our shared experiences, social justice, the pursuit of knowledge,
the creation and appreciation of art, music and literature, and the future and fate of ours and other
species – do not depend to any considerable extent on our having control over a vast but largely
irrelevant Universe. We might be distinctly lacking in power from the cosmic perspective, and so, in a
sense, insignificant. But having such power and such significance wouldn’t make much of a difference
anyway. To lament its lack and respond with despair and nihilism is merely a form of narcissism. Most
of what matters to us is right here on Earth.”
Which of the statements is/are TRUE of the paragraph above:
A. The author argues that intrinsic value is distinct from instrumental value and that power
possesses the latter of the two.
B. “Humans and our significance in the universe”, is one of the themes discussed in the
passage.
C. The philosophies of nihilism and narcissism are suggested as remedies by the author.
D. The author suggests that we look at the history of totalitarian politics to recognise that we
shun power in the most grotesque form.

ANS A and B are correct options .

Q.28 Which option(s) is/are simple rotations of the figure given below?


ANS : option D is correct because internal hexagons colours are not same after rotation .

Q.29 Read the statements below:
All female and male natives in their country are strong.
Some men in their country are migrants.
All migrants in their country are not strong.
Not all migrants are women.
Based on the above, which conclusion(s) stated in the options is/are valid?
A. Some women in their country are strong.
B. Some migrants in their country are men.
C. Some people in their country are not strong.
D. All strong people in their country are women



ANS : A is correct ( native female are strong but migrants female are not strong).
           B is correct (because not all migrants are women).
           C is correct ( because migrants are not strong)
           D is wrong ( because all female and male natives in their country are strong.

Q.30 Which of the following words are similar in meaning?
A. Scribble
B. Doodle
C. Nibble
D. Feeble
  
meanings of of above words are 

# Scribble means write or draw (something) carelessly or hurriedly.
# Doodle means scribble absent-mindedly.
# Nibble means take small bites out of. or show cautious interest in a commercial opportunity
# Feeble means lacking physical strength, especially as a result of age or illness.
Ans : A and B are correct options.
  Q.31 Which of the following words is/are similar in meaning to ‘Centre’?
A. Heart
B. Core
C. Nucleus
D. Nub

ANS A,B,C,D

Q.32 Consider this poem:
Now, marriages happen in halls
They used to happen at home
Honeymoon too
Before they wandered into halls
Stage. Actors. Audiences from afar.
Receptions never really took place
Yet they would go on for days.
Now, receptions include
Those who don’t really figure.
Show face, shove envelope (gifts not accepted)
Grin for the camera.
Get out. Not all that bad.
Quick and efficient. No one really cares.
Which mood(s) does the poem evoke?
A. Cynicism
B. Nostalgia
C. Happiness
D. Lust

ANS : A,B

# Cynicism - Cynicism is an attitude or state of mind characterized by a general distrust of others' motives.
# Nostalgia -Nostalgia is a sentimentality for the past, typically for a period or place with happy personal associations.
# Happiness - positive or pleasant emotions ranging from contentment to intense joy.
# Lust - Lust is a craving, it can take any form such as the , lust for money or the lust for power.
 Q.33 Goethe said, “Doubt grows with knowledge”. From this perspective, who would a
knowledgeable person be?
A. One for whom doubt does not grow with knowledge
B. One who has no doubt
C. One who has doubt
D. One whose doubt grows with knowledge

ANS : C,D 

Q.34 Theory is already existing knowledge and Practice is knowledge that comes by ‘doing’.
Based on this statement which of the following is/are TRUE?
A. Theory precedes Practice.
B. Practice is knowledge in action.
C. Knowledge without ‘doing’ is Theory.
D. Theory and Practice are one and the same.

 ANS : A,B,C 

Q.35 Which of the following quotes celebrate(s) technology?
A. “Did that search engine really know what you want, or are you playing along, lowering your
standards to make it seem clever?”
B. “ I fear that we are beginning to design ourselves to suit digital models of us, and I worry
about a leaching (leakage) of empathy and humanity in the process”
C. “The approach to digital culture I abhor would indeed turn all the world’s book into one
book”.
D. “What a computer is to me is the most remarkable tool that we can ever come up with. It’s
the equivalent of a bicycle for our minds”.

ANS : D 

 Q.36 Consider the drip irrigation system in villages on hilly terrain. Which of the following
statements is/are correct?
A. Bamboo pipes can be used to divert perennial springs on the hilltops to the lower reaches by
gravity.
B. If the bamboo pipes have to cross a road they can be taken above the land.
C. This irrigation system is useful for the places with high ground water level.
D. The bamboo pipes could be replaced with PVC pipes.

ANS :A,B,D

Q.37 Six pacmen have joined hands to take revenge from an evil ghost. They are standing around
in a circlular formation. Lo and behold, a white star full of pure light emerges in the centre. In
complete disbelief, the pacmen are mesmerized. Which of the gestalt laws of perception explain(s)

the appearance of the star in the centre?



 ANS :A,B,D
for Gestalt law of perception visit 
http://graphicdesign.spokanefalls.edu/tutorials/process/gestaltprinciples/gestaltprinc.htm

 Q.38 If the black lines represent cutting lines and dotted pink lines are folding lines, which of the
options correctly represent(s) the opened up surfaces of the solid shown?

 ANS : B,C
 Q.39 Which of the following images belong(s) to Ajanta?
A. H
B. L
C. K and M

D. J and I
 ANS : A,C,D ( except L )

 Q.40 Based on the paintings below, which of the following statements is/are TRUE?
A. These paintings use geometric grids for their construction.

B. All three painting are from Maharashtra.
C. All these paintings draw upon tribal folklore.
D. These paintings are wall murals.

ANS :  C,D 

 Q.41 Which of the following is/are greenhouse gas(es)?
A. Hydrogen Sulphide
B. Carbon Dioxide
C. Chlorine
D. Methane

ANS :B,D 

Q.42 Which of the options represent(s) correctly the opened up surfaces of the solid shown?
 ANS : A,D  

 Q.43 Consider the following text by Edward Shanken:

“By 2000, it had become increasingly apparent that the exclusion and ghettoization confronting the
practice and criticism of new media art and the larger historiography of art and technology required
an explicit suturing strategy. In ‘Art in the Information Age’ (2001) I argued that by ‘interpreting
conceptual art and art-and-technology as reflections and constituents of broad cultural
transformations during the information age’ categorical distinctions can be relaxed, allowing parallels
to be drawn between seemingly diverse theory of systems aesthetics and the notion of software as a
metaphor for art. My analysis of works by Levine, Haacke and Kosuth in ‘Software’ led to the
conclusion that in the information age, ‘meaning and value are not embedded in objects, institutions
or individuals so much as they are abstracted in the production, manipulation and distribution of signs
and information’. Finally, I implicitly applied Burnham’s systems approach to analyse the system by
which art history is written. Using Haacke and Ascott as examples, I claimed that the historicization of
an artist’s work as conceptual art or art and technology ‘says less about their work than it does about
the institutional mechanisms that have created and reinforced categorical distinctions...at the
expense of identifying continuities between them.”
Which of the statements is/are TRUE of the paragraph above?
A. Historicization of an artist’s work speaks only of institutional mechanisms that create and
define categories.
B. Categorical distinctions do not allow parallels to be drawn between seemingly diverse
practices.
C. If software is a metaphor for art, meaning and value are more in the making and distribution
of signs and information.
D. Conceptual art cannot be interpreted as reflections of broad cultural transformations.

ANS : B,C
  
Q.44 The following diagram shows the distribution of population in an apartment building as per
the profession of its residents.

Which of the following is/are correct?

A. Doctors and businessmen combined is less than half of the total residents.
B. About 1/3 of the population is engineers.
C. Engineers and designers combined is about 60% of the residents.
D. Doctors and businessmen combined is more than half of the total residents

 ANS : A,B,C 

Q.45 In which of the following applications is a convex lens used?
A. Peepholes
B. Magnifying glass
C. Microscope
D. Car headlight

ANS : A,B,C,D 


Thursday, 15 March 2018

IIT JEE PAPER 2 (B ARCH) PREPARATION GUIDE FOR APTITUDE TEST

  IN ARCHITECTURE APTITUDE TEST  FOR IIT JEE  AND NATA  THE DRAWING AND             FIGURE  RELATED QUESTIONS ARE OF   FOLLOWING TYPES

*  Identifying the correct elevation from the top view.
*  Identifying the correct top view ,front view, side view from the 3 D view.
*  Finding the correct mirror image of the figure.
*  Finding hidden objects.
*  Finding correct view of the 3-D problem figure after the problem figure is opened up .
*  Completing the sequence of the figure.(rotation).
*  Finding the total number of surface of the object given below in the problem.

 These types of questions are very scoring if your concepts are clear.

With examples I will explain how to visualize and solve the problems 

 Q 1  The 3-D problem figure shows a view of an object. Identify the correct front view,
         from amongst the answer figures, looking in the direction of arrow.






ANS                                      we can  find the front view looking in the direction of arrow
 by coloring  the sides in that direction. By observing we can say that   option 2 is correct.

At first glance we can say that option 1 and 3 are incorrect.
option 2 and 4 are close, so be careful in answering.

By practicing these type of questions you can answer it simply by observation even without coloring it.





Q 2   The 3-D problem figure shows a view of an object. Identify the correct TOP view,
         from amongst the answer figures,



 ANS 
                                                          we can  find the top view by coloring  the top surfaces.                                                                            By observing we can say  that  option 2 is correct.

    1 and 2  are nearly same , for correct answer check the                       proportion of the  parts. 

Q 3  The 3-D problem figure shows a view of an object. Identify the correct front view,
        from amongst the answer figures, looking in the direction of arrow.
       
 ANS

 
By coloring in the direction of arrow , we can say that option 2 is correct view.

Always first see the surface that is closer to the arrow and than go farther.
2 and 4 are closer except the elevation of the sloping side.Be careful in that.







Q 4 The problem figure shows the top view of objects. Looking in the direction of arrow, identify the         correct elevation, from amongst the answer figures.
   


ANS 
The pink lines show the edges of the object
that are visible  prominently.
The blue lines shows the edges that are partly visible and partly hidden behind the front objects.

by observing ans 3 is correct.









Q 5      Which one of the answer figures is the correct mirror image of the problem
            figure with respect to X–X ?

       


ANS

to find the mirror image quickly,
mark the points nearer and farther from xx line say point a,b,c and p
there mirror points will be equidistant from xx line on the right side i.e, a',b',c',p'  such that ax=xa' ,bx=xb' , cx=xc' and px=xp'.
similarly you can draw/ observe  the complete figure.
1 is the correct mirror image of the figure.

1 and 4 are closer except the middle part, be careful in answering.

Q 6  One of the following answer figure is hidden in the problem figure in the same size and                       direction. Select the correct one.

ANS                                                

 observation is the only way to solve these type of problems.
mind that hidden figure is in the same size and direction.

1 is the correct answer.

 (my vague idea is to see the figure with half closed eyes ,you         will not believe, it works.)



Q 7   Which one of the answer figures, shows the correct view of the 3-D problem
         figure, after it is opened up ?

     


A 7            correct answer is 3                                                                      
           
                                                           As marked in ans figure check bottom side(in red) and  top side  ( in green)  surfaces                            
                    check the number of surfaces and their proportion also as shown                                                                                                                                                                                                                                                                                                                   















Q 8         Which one of the answer figures will complete the sequence of the three problem figures?

   ANS     By observing we can say that figure is being rotated 45 degree anti clockwise each time.
               The next sequence will be rotated 45 degree anti clockwise having circle on top, and  4 is                      the correct next sequence. 

Q 9        Find the total number of surface of the object given below in the problem.
             

ANS  
                  Count the visible and hidden surfaces as shown in figure .

The correct answer is 18 .           









Tuesday, 20 February 2018

UCCED 18 NAT SOLUTIONS AND TIPS


  UCEED 18 NAT  (SECTION A ) SOLUTIONS

UCEED 18  paper is divided into three sections, A, B and C.
Section A (80 Marks) contains a total of 20 Numerical Answer Type (NAT) questions.
Section B (100 Marks) contains a total of 25 Multiple Select Questions (MSQ).
Section C (120 Marks) contains a total of 40 Multiple Choice Questions (MCQ).

IN THIS POST UCEED 18 NAT  (SECTION A ) SOLUTIONS ARE GIVEN

Q.01 How many different types of characters appear in the figure given below?
ANS    21  as shown

Q.02 Given below is a series of numbers. Which number will replace the question mark?
              101, 103, 107, 109, ?, 127, 131, 137, 139, 149, 151, 157, 163

ANS      113
             These are all prime numbers ,therefore 113 replaces 


Q.03 How many lines are there in the image given below?
ANS  There are 22 lines.
           You can count 
  1. direction wise - horizontal,vertical,inclined
  2. length wise  - small, medium, large 

Q.04    How many configurations of blocks appear only once in the figure given below?
ANS    12 blocks.
            Observe it .then cross check it i.e. there are 20 blocks and 4 blocks are repeated so 
            20 - (4 x 2)  = 12

Q.05   What is the number of fonts used in the words given below?
ANS     Letter "a" is common in all words so we can easily compare and find the number of fonts                     easily.
             here there are 6 fonts.

Q.06    What is the maximum number of whole cuboids of length = 2 cm, breadth = 1 cm and height
             = 1 cm that can be packed into a larger cuboid of length = 3 cm, breadth = 3 cm and height =               11 cm?
ANS    volume of large cuboid = L x B x H= 3 x 3 x 11 =99 cm3
            volume of small cuboid = 2 x 2 x 1 =2 cm3
            Let number of small cuboids be N  that can be packed into a larger cuboid 
            then N x 2=99
                    N = 49.5 i.e. 49 numbers
                                                           
                                                     Alternately ,you can find as shown in figure 
  arrange small cuboid we see that in 2 cm ht 9 cuboids                            can be placed                                                                                        (1,2,3,4) X 2  i.e 8 nos horizontally and ( 5) X 1 vertically.                      In 10 cm ht there will be 9 x 5 = 45 cuboid                                           In remaining 1 cm ht  there will be 4 cuboids                                   Total 49 cuboids.
Q.07 Prof. Paittiyam, in an attempt to create the world’s most delicious dish, managed to merge a
cylindrical Idli (diameter = 17 cm, height = 6 cm) with a torus shaped medu wada (inner hole diameter
= 2 cm, outer diameter = 16 cm, and tube diameter i.e height of torus = 7 cm) such that the medu
wada is parallel to the base of the Idli and the centeroids of the two solids coincide. How many surfacesdoes the resulting solid contain?





          Centroid of cylinder and torus is in centre . As the dia of torus is less than cylinder but height        is  more therefore torus will protrude from both ends of the cylinder for fulfulling the condition           that   the centroids of the two solids coincide as shown in figure . The resultant solid will have 7         surfaces.
         Note that outer and inner side of the torus will be counted once only.


Q.08 What is the maximum number of equilateral triangles (side 3 cm) that can be placed in a
square of side 6.8 cm without overlapping each other?


as shown there will be 8 equilateral triangles.

Q.09 How many triangles are there in the figure shown below?

          In triangle abc there are these triangles
                                                                                    
                                                                                    abc , abh , ach , bgc , aec , afb , bec , bfc ,
                                                                                    agb , agc , aeg , agf , egb , bgh , ghc , cgf  
                              total 16 triangles
    similarly in triangle bcd  there will be 16 triangles

   combining both triangles there are these triangles  in addition 
                                                                                  abd , adc , bgl , cgl , abl , acl , bgd , dgc 
                                                                                  total  8 nos.



ANS   so grand total , 16 + 16 + 8 = 40 triangles


Q 10  . Count the number of stacked triangular pieces in the image shown below.

A.        Count the number of columns and pieces respectively. 
            As shown the total number of stacked triangular pieces = 46 .



Q.11 Shown below is a combination of fixed pulleys. If the triangular load moves down, how many
pulleys will rotate in the same direction as the smallest pulley (including itself)? The overlapping pathsdo not interfere with each other.



ANS  directions of pulleys are shown in figure, and smallest pulley is indicated as "s" it rotates anticlockwise  and there are 11 such pulleys which rotates anticlockwise.



Q.12 The current time is 10 minutes past 3 in the afternoon. What will the angle be between the
hour hand and the minute hand of the clock, 4 hours and 40 minutes from now?
ANS  The current time is 03:10 pm ,the time after 4 hrs and 40 min will be 07:50 pm.
          the angle between hour hand and minute hand can be found by the formula

        x = ( 60 h-11 m)/2
               where h = hours( h<12) 
                          m = minutes (m<60)
                          x = angle measure between hour hand and minute hand of a clock at a given time  
             so, at  07:50 
             x = (60 x7 - 11x50) /2  = 65 degrees 


Q.13 The word ‘Ape’ is an anagram of ‘Pea’. How many of the following words are anagrams of
animals?
Glow, flow, loin, sit, balm, bare, god, lane, act, tab, bit, tar, reef

ANS  wolf , loin, lamb, bear ,dog ,cat, bat, rat, ( total 8 words)

Q.14 Privacy of a space depends on the level of closure it has from its surroundings i.e. the difficulty
of accessing that space from outside the house. The figure below shows the plans of four houses at a
village street junction. Which is the most private room amongst all the rooms across all the houses?



   ANS    as we see that room no 25 is most difficult to access. one has to cross room no 22,23,and 24                 to  go to that room.
             other rooms are either directly accessible or through one  room.



Q.15 The figure below shows the layout plan of the conservative Themmalwadi village which
consists of a cluster of houses. Black lines represent walls and the openings in those walls represent
either windows or doors. Also marked are the houses of Riya (who lives with her family) and Barkya,
who are in love and having an affair. So, hidden from the eyes of the villagers, they regularly meet at
night in Barkya’s house. Themmalwadi is so conservative that even the sight of women on the street
at night raises eyebrows. If Riya takes the path that has the least number of openings, what is the
number of openings that she will have to pass by to get to Barkya’s house?


   ANS  Route shown in green will have minimum 3 openings that Riya has to pass by to get to                         Barkya's house .




Q.16 Shown in the figure is a pyramid with a square base, formed by vertices EFGH and a top vertex
I. The diagonally opposite vertices, EG and FH are connected to form the vertex J at their intersection.
The vertices I and J are also connected as shown. How many triangles are formed by all these vertices?

    ANS                                                   Triangles formed by all these vertices are
                                                               EIF , EIH , HIG , FIG , EFJ , EJH , HJG , FJG
         EJI , HJI , GJI , FJI , IFH , IEG , EGH , EFH , FEG , FHG 
                                                               TOTAL 18 Triangles
                                                             

Q.17 The length and breadth of the white rectangle are 6 and 4 respectively. The proportions of the
outer black, middle red and inner white rectangles are the same. What is the length of the hypotenuse
of triangle ABC?
  ANS            Black ,red, and white rectangles are in same proportion and as we  can see in the figure that  middle red rectangle is double the white so its length & breadth will  be 12 and 8 respectively.
                                                    Black rectangle is double the red so its length and breadth will be 24                                                      and 16 respectively.
                                                    But we have to find the hypotenuse of triangle ABC ,and AC is half                                                       of the length of black rectangle i.e.AC =12 and BC = 16
                                                    by Pythagoras theorem AB x AB = (AC x AC) + (BC x BC)
                                                                                           AB x AB = (12 x 12) + ( 16 x 16)
                                                                                           AB = 20 

.
Q.18 Meethapur works on a barter system. Each person there loves different sweets. Mukund is
willing to exchange 2 toffees for a lollypop and 3 ice creams for a toffee. Ranjana is willing to exchange
one ice cream for 2 lollypops and 3 toffees for a lollypop. Mukund and Ranjana don’t know each other,
but both of them know Sita who loves toffees. Sita has one lollypop. She can meet Ranjana and
Mukund only once (not necessarily in that order). What is the maximum number of toffees that Sita
can get?
 Ans  Let us assume that Sita goes to Mukund first ,
          She exchanges her 1 lollypop for 2 toffees
          With these 2 toffees she get 6 ice creams from Mukund.(2x3)
          Now she goes to Ranjana having 6 icecreams in hand
          She gets 12 lollypops  for that.(6x2)
          She again exchange 12 lollypops and gets 36 toffees (12x3) 

        now assume that Sita goes to Ranjana first than
        She exchanges her 1 lollypop for 3 toffees only.
        Then she goes to Mukund , she can get only icecreams and lollypops .& no more toffees .
       ( as the condition is that she can meet them once only)

        ans is maximum 36 toffees she can get.

Q19.  Atul has nine cats that always fight with each other. He puts all of them into a square box.
         What is the least number of square partitions he must use to keep all the cats separated from                  each other? You may use any size of square partitions.

Ans    2 squares , one placed diagonally as shown. 
         
          OR   4 squares  as shown


Q 20   How many differences are there in the two images shown below?

Ans     There are 10 differences 
            Check the difference for 
  1.   Change in colour
  2.   Change in pattern
  3.   Missing object
  4.   Additional object     
     

 * There are 20 questions in SECTION A .
 * Try to solve this section within 40 minutes.
 *  As there is no negative marking try to attempt all questions.