17 July 2018

Answer key to UCEED 2018 Previous paper



Solutions for UCEED 2018 Exam paper 


1) 21

check the below image for explanation

How to solve?
It's difficult to memorize, esp because the ques will be on the screen. So, instead of looking for unique characters, try to find out repetitive characters. Start from the top row and after you complete the top row, move to the next row and so on. See if the symbol that you are checking had appeared in the previous rows. If so, then count it.


2) 113
The series represents the prime numbers between 100 and 170

3) 22
Near-vertical lines - 14
Near-horizontal lines - 4
lines inclined and slanting to right - 2
lines inclined and slanting to left - 3

4) 12

In the below image, the repeated patterns had been marked.



5) 6
In the below image, I had marked with colored lines the repetitions (same font), you can now count unique font types. 


Basically, whenever font questions like this one was asked, I observe the edges of the alphabets and see if any ther word follow the same trend as the alphabet considered. For ex. consider alphabets 'n' and 'g' in the green lined word 'mango', you can see the same trend followed in the word 'orange' marked again in green line. 
Observe the letter 'e' in apple is similar to 'e' in pineapple as well as 'pomogranate' but is different from 'e' in pear. 
I hope, you can find the similarity like this.

6) 49

cross section area of the larger vuboid of height 11 is 3X3
so, we better place some small cuboids such that it's area is 1X1, in other words make length =2cm as height and height=1cm as length. with that the bottom portion will have a stack of 
3*3 = 9 small cuboids of height 2cm.
stacking another four rows above it will bring it to a height of 10cm. 
No. of small cuboids stacked as of now = 9*5 = 45
the larger cuboid now has only 1cm height. Now we have to fit the cuboids such that their height is always 1cm. The below image shows one possible arrangement. We can accomodate 4 cuboids.

So, total cuboids = 45 + 4 = 49


7) 7

Figure shows the two shapes separately and the union of the two such that their centroids lie on the same point. Since the torus outside diameter is smaller than the idli (cylinder), it's outer surface will be merged inside the cylinder when unioned. Also, the height of torus is 1cm greater than the cylinder and so the curved portion of the torus will project on top and bottom. Figure shows the top one. The same is symmetrical for bottom too. 
No. of surfaces on top = 1 (cylinder flat surface) + 1 (torus curved surface) +1 (circle at the center) = 3
No. of surfaces on bottom = 3 
No. of surfaces on sides = 1
Total = 3+3+1 = 7


8) 8

Height of a equilateral triange of size 3 = 
sqrt(square(3)-square(1.5)) ~ 2.6

Below image shows the arrangement.



9) 40

Image 1 (symmetry)
No. of triangles in image 1 = 12


Image 2
No. of triangles in red color = 4
No. of triangles in green color = 4

Image 3
No. of traingles = 4

Image 4
No. of triangles in green = 2
No. of triangles in purple = 2

Image 5
No. of triangles = 2
Image 6
No. of triangles = 4

Image 7
No. of triangles = 4

Image 8
No. of triangles = 2

Total = 12+8+4+4+2+4+4 = 40

10) 46

No. of stacked triangular pieces in 
Bottom rown = 9 (no. of triangles in top view)
2nd row (from bottom) = 9 
3rd row = 9-1 =8
4th row = 9-2 = 7
5th row = 9-3 = 6
6th row = 4
7th row = 2
8th row = 1
Total = 1+2+4+6+7+8+9+9 = 46

11) 11 

The smallest pulley is indicated by 'S' and it rotates in clockwise dorection as shown in the figure. 

Trick is as follows - Since the weight moves down, the direction of movement of the cable/rope is along the rope movement. In other words, the arrow head should be such that it is the front of the rope movement. It's best to count the circles following the direction of the rope from the weight. Else, you may get confused.

No. of pulleys wheeling in clockwise direction = 11 (indicated by numbers in order of count)

12) 65

Current time is 3 hr 10 mins
Time after 4 hrs and 40 mins will be (3+4) hrs and (10+40) mins
that will be 7 hrs 50 mins

In 1 hr (60 min), the hour hand would have moved to 30 degrees (360/12)

In 50 mins, the hour hand would move to 30*(50/60) = 25 degrees (from 7)

Angle of the hour hand = (7*30) + 25 = 235 
(beacuse the time is right now 7 hrs 50 mins and the hour hand is few degrees past/after 7)

Angle of the min hand = (10*30) = 300 degrees (since the min hand will be at 10 because it denotes 50 mins)

So, the angle between the hour and the minute hand  = 300 - 235 = 65 degrees

13) 8

flow - wolf
loin - lion
balm - lamb
bare - bear
god - dog
act - cat
tab - bat
tar - rat

14) 25

Easy accessing is indicated by the lesser no. of doors to be taken to reach the room. 
You can visually tell which room needs more doors to be passed. Yet, for a clear understanding I will list out the below
Rooms needing only one no. of door entry are 1,5,3,8,1310,12,14,17,19,20,21,22,27,28,26
Rooms needing two no.'s of door entry are 2,4,6,7,9,11,18,15,16,23
Rooms needing three no.'s of doors entry is 24
and Rooms needing four no. of doors entry is 25

15) 3

Figure shows the best path with less no. of doors on the way. Note that the doors that Riya crosses are W, R, S



16) 18

Considering the bottom surface (square formed by EFGH), no. of triangles = 4
No. of triangles on the sides (slant surface) = 4 (Surfaces IEH, IHG, IGF, IFE)

No. of triangles in the below image 
Red = 2 (I have shown only one, you can imagine the other)
Green = 2 (I have shown only one,you can imagine the other)


No. of triangles in the below image
Red = 2
Green = 1

No. of triangles in the below image
Red = 2
Green = 1

Total = 4+4+2+2+2+1+2+1 = 18

17) 19.23

I'm not sure whether there is any foolproof method for this kind of problems. But here i'm giving one possible solution by close observation.

Proportion of the the white rectangle = 6/4
Height of the red triangle = 2*breath of rectangle = 2*4 = 8 (coz the rectangle appears half height) 
Height of BC = twice the height of the red triangle = 2*8 = 16

Now, since the blabk triangles are in proportion to the square too, we can say 
BC/AC = 6/4

we know BC =16,

16/AC = 6/4
which gives, AC = 16*4/6 = 1037


16, 16*4/6 = 10.67

Length of AB = square_root(square(AC)+square(BC)) = sqrt(10.67^2 + 16^2) ~ 19.23

18) 36

T = toffe, L = lollypop, I = Ice cream
Mukund
2 T = 1 L
3I = 1 T

Ranjana
1 I =2 L
3 T = L

Sita has 1 L and wants the max T

Case I
If Sita exchanges with Ranjana first, she would get 3T

Case II
If Sita exchanges with Mukund first,

step 1: she exchanges and gets tofees with Mukund
she will gte 2T first, which she will exchange with mukund again to get 6I

Step 2:
She exchanges her 6I with Ranjana and gets 6*2 = 12L
Now, Sita exchanges 12L with Ranjana and gets 12*3 = 36T

19) 4

The figure shows the possibility



20) 10

Figure in the left shows the differences


21) B, C, D 
By observation 

22) B, D

Below figure shows the continuous line after removing spaces and special characters


Note that I had shown in 8 lines but they are all continuous. Here's the trick to find easily. Note that the options are Ghana, India, Peru, Iran 
that mean we need to look for the first letters G, I, P So, search from the beginning for these letters and stop when you encounter the letter, then look if you can find the name.

23) B, D

If Fredricks and Salunkhe investigate the same criminal (of the three), the remaining four will investigate the other two criminals such that Pradhyuman and Daya won't interrogate the same guy. So, based on this we can say that B and D ate fit

24) A,B, D

2+3 means 2 is the child of 3
2+3*1 means 1 is the wife of 3, so 2 has 3 as father and 1 as mother 

2+3*1+4 means 1 (the mother of 2) is the child (daughter) of 4. So, 2 is the grandchild to 4
2+3*1+4*5 means 5 is the wife of 4. Which means 5 is grandmother and 4 is grandfather to 2

So, options A, B and D are correct

25) A, C

The ques seems bit tricky but it isn't so. The thing is the given configuration of 30 circles are shown in top view and by the distance they mean how near to our eye in top view. In other words, they are not lying on the same plane (on the paper) but are arranged in 3D space according to the conditions given. 

It is clear that larger circles are farther from us. So, straight away ignore 11,2,3,9,10,19,4,20,1,12,18,21. 
Now, we need to check the remaining. 
Given, the thinner the circle the closer they are to us. 
So, circles 17, 22 should be near but since they are red, they must be far. 
So, circles 25 must be nearer (option A). OPtion B is definitely wrong. Also, 14 and 24 are of same thickness and both are red except that 24 is smaller in size and hence it must be near. Circle 6 is intensively thick that mean it is farther compared to 8, which is small as well as lesser thick.

26) A,B 

I guess I had included the details of this in this blog's illusion resource page

27) A, B

I don't think explanations are required for this

28) D

Keeping the two triangles shown in the below figure as reference, we first eliminate the unwanted option (A) Now, it is clear in option B and C that the position and pattern of the remaining triangles are not representing simple rotation.

29) A,B,C

Third statement says that all migrants in their country are not strong (men and women) and according to the second statement, some men are not strong. The fourth statement failed to say that women are included as migrants or not. It didn't gave any confirmation and hence there are no women migrants. So, all women are strong. 
B is also correct. C is obviously correct. D is certainly wrong for native men are also strong. 

30) A,B

31) A,B,C,D

32) A,B

Definitely, it doesn't show lust and the poet isn't happy with the current mode of marriage.

33) D

It is not clear whether C is correct or not for C means that a person just has doubt but doesn't signify its growth in future. So, D must be the correct answer.

34) B,C 

Theory precedes Practice means the theory is required for practice. But in the ques, it is never told like that. 'Practice is knowledge that comes by 'doing' which says that there is no element of theory in here. 

35) D

abhor means hatred.

36) A, B, D

37)
Not sure.

38) B,C 

You can learn more about tessellation problem solving here

39) A,C,D

Except L, all belong to Ajanta caves. (based on the color scheme followed)

40) C, D

Actually, they represent warli tribal art

41) C, D

Lol.. chlorine is given as an option :P

42) A, D


43) B,C

I don't have the patience to read this to answer, even if I was to give the exam, I would prefer to skip (and check at the end) than spending so much time on a single ques. Anyway, the answers are B,C as given in the official answer key.

44) A, B, C
By visual observation

45) B,C,D
I had given about convex and concave lenses applications in one of my resource page.

46) D

47) C
Obviously, Kerala is the smallest and Rajasthan is the biggest in terms of area.

48) A

star denotes the position where he took turn


49) A

50) C

Easy way
A you can see the poles of the sphere has black stripes crossing while the other color is not meeting there. So, in the given option, the pattern that has black ink on the top and bottom continuously shall be the required mapping



51) C
I recalled the usual punjabi wear (kurtha) of women and it turned out to be correct.

52) D

Checking the bat of the given pattern, - down ? down, up. So, the bat must be up in the top position in the ques mark. 

You need also have to check the position of the front leg and also his head. 


53) D

54) D

55) D

Based on the landing angle (end slant line - approx. 30 degrees to the horizontal) of the letter (marked in red), we choose the option which exhibits the same pattern. Only D has that kind. 


56) B

Sometimes, ques like this might tend to confuse a lot coz the pattern has both the elements of rotation and numbers. Trying to find a pattern using numbers would eat your time and might make you feel the impossibility. It's always better to start with the rotation/orientation of the patterns

Below image shows the required pattern, You can also make the next pattern of required based on B and D.


57) B

Let us utilize the four patterns given in the options for explanations. 

  1. Rotate figure clockwise by 90 degrees, then you will get the pattern shown in C
  2. Flip new pattern (shown in option C) along its vertical axis, you get the pattern D
  3. Flip the new pattern (option D) along the horizontal, you will get option B

58) B

Jim Corbett National Park is the oldest national park in India and was established in 1936 as Hailey National Park to protect the endangered Bengal tiger. It is located in Nainital district of Uttarakhand and was named after Jim Corbett who played a key role in its establishment.

Ranthambhore is the fortieth largest national park in northern India, located in Rajasthan. 

Kaziranga is a national park in the Golaghat and Nagaon districts of the state of Assam, India. The sanctuary, which hosts two-thirds of the world's great one-horned rhinoceroses, is a World Heritage Site.

Kanha National Park, is one of the tiger reserves of India and the largest national park of Madhya Pradesh

59) D

In the below image, I've marked numbers for easy understanding. I've also hand-written/drawn for your easy understanding.


To learn more on solid manipulation and unwrapping/wrapping, learn here

60) C


61) A

Check the below image



62) A

Check this post on how to solve such question - working with geometry

63) A


64) A

I think drip here means Painters.

65) B

Words are written on paper

66) A

Sleeves rolled, and 'theatre of give and take' is a profession not related to teacher, pilot or even traffic police

67) A

burps mean - a noise made by air released from the stomach through the mouth; a belch.
fart - gas released from stomach. 
So, stomach is the best fit

68) C
The strange clock matches time at 12 noon. 

Given that the hour hand moves half the speed. So, at 4'O clock, it must be 8 hours. 
Also given that the minute hand rotates 6 times than usual. In other words,
in 1 hr no. of ticks of the min hand = 60*6 = 360 ticks
So, let's put like
1 hr = 360 ticks
In the given image, the min hand is at 6, which means 30 ticks 
360 ticks = 1 hr
1 tick = 1/360 hr
30 tick = (1/360)*30 hr = 1/12 hr = (1/12)*60 mins = 5 mins
So, time is 8 hrs 5 mins

69) C
I've marked them in the below picture.


70) C

71) A

72) B

73) C

Rama  - Dharma, Kalki - destruction, those two are sufficient to answer the ques

74) C

As far as Iknew, L (one famous art) represents expressionism. You can check art/painting history in resource page

75) C
Not very sure, just took from the answer key

76) C 

77) C 
distance is shown as AB in the below image.


78) D

Below image gives the explanation


79) A

The figure below shows the movement of the star in every step. Note the numbers 1,2,3....8, they represent the successive steps. In every step, the star moves diagonally till it reaches the diagonal end, after which it reverses its direction. So, the position of star should be as indicated in 8th step.


Similarly, below image shows the movement of the triangle. Note that unlike star, the triangle moves row wise and in every row, it moves two grids clockwise/anti-closkwise as represented by the second table in the row. So, in the question mark table, it should be on the grid marked in the second table of the third row. 

Similarly, we can figure out the movement of the circle. It's easy to note that the circle moves clockwise direction (one grid) in the direction indicated by no's 1,2....8
So, the position of the circle in the question mark table is indicated by the arrow in the 8th table.

80) B
Obviously.

81) A

82) A

Below image shows how the view will be constructed. Green lines are projection lines. and the actual top view is shown in red.


Why did I get a circle?
Well, if you observe the dimensions, the eliptical solid is 11 units out of which 6 units is overlapped with the cuboid. So, 5 units is overlapped. The cross section happened such that it is slightly less than 5 units, but because it is slanted, the length along the crossection is large, more than 4 and hence it could be around 5, so 5X5 cross-section of a curved surface (a circle) must be imagined. 

83) B

Just like in Q79, we try seeing a pattern from the given set. As you can see, no. 7 is moving anticlockwise one step. So, the position of 7 must be as shown in the table 4. Now, fortunately, only one option suits.


84) A, B

85) A

The flat surface marked in the image below makes it look like a sharp edge in top view. Had the case it was slanted, then the answer would be B.



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