Web Notes on HIGH LEVEL MIXED PUZZLE for Logical Reasoning ( All Exams ) Preparation

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Web Notes

HIGH LEVEL MIXED PUZZLE

References:

Brown colored shed is in Row-2.

There are two sheds between the only highest valued shed and Brown colored shed.

 

Grey and Green colored sheds are in different rows.

Total value of Green and Grey colored sheds are same. 

Total value of Shed 4 is Rs.9.6 lakh, which is more than only the total value of Shed 6.

Inferences:

From above statements,

Brown colored shed is in Row-2 i.e. Shed 6 or Shed-9 or Shed 10 may be Brown colored

→ If Shed 10 is Brown colored and then Shed 7 (Grey colored) becomes only highest valued shed (using ref point-2), which is not possible since total value of Green and Grey colored sheds are same.

→ If Shed 9 is Brown colored and then Shed 6 becomes only highest valued shed (using ref point-2), which is not possible since total value of Shed 6 is less than Rs.9.6 lakh.

Therefore Shed 6 is Brown colored shed and Shed 9 becomes only highest valued shed (using ref point-2)

We know Shed 7 is the Grey colored and it is Row-2. Therefore Green colored shed must be in Row-1 (using ref point-3) i.e. Shed 3 or Shed 4 or Shed 5 may be Green colored.

→ If Shed 4 is Green colored and then its value is Rs.9.6 lakh. Also the total value ofGrey colored shed is Rs.9.6 lakh (using ref point-4). This violates the 5threference point. Hence this is not possible.

Therefore Green colored shed is either Shed 3 or Shed 5. Thus we have 2 cases as shown,
 
Case-1 [Shed-3→ Green]
Row-2 Shed-6 Shed-7 Shed-8 Shed-9 Shed-10
Color Brown Grey Purple/Yellow    
Vehicles          
Total Value     Rs.16.8 lakh Highest value  
 
Total Value Rs.16.8 lakh     Rs.9.6 lakh  
Vehicles          
Color Yellow/Purple White Green    
Row-1 Shed-1 Shed-2 Shed-3 Shed-4 Shed-5
 
Case-2 [Shed-5→ Green]
Row-2 Shed-6 Shed-7 Shed-8 Shed-9 Shed-10
Color Brown Grey Purple/Yellow    
Vehicles          
Total Value     Rs.16.8 lakh Highest value  
 
Total Value Rs.16.8 lakh     Rs.9.6 lakh  
Vehicles          
Color Yellow/Purple White     Green
Row-1 Shed-1 Shed-2 Shed-3 Shed-4 Shed-5
 
References:

Silver colored shed is exactly in front of Black colored shed.

Blue and Orange colored sheds are in different rows.

Inferences:

From above statements,

Case-1: Shed 9 is Silver colored and Shed 4 is Black colored (using ref point-1, 1st possibility). Blue and Orange colored sheds are in different rows i.e. Shed 5 and Shed 10 are Blue and Orange colored, but in any order as shown
 
Case-1
Row-2 Shed-6 Shed-7 Shed-8 Shed-9 Shed-10
Color Brown Grey Purple/Yellow Silver Blue/Orange
Vehicles          
Total Value     Rs.16.8 lakh Highest value  
 
Total Value Rs.16.8 lakh     Rs.9.6 lakh  
Vehicles          
Color Yellow/Purple White Green Black Orange/Blue
Row-1 Shed-1 Shed-2 Shed-3 Shed-4 Shed-5
 
Case-1-A: Shed 10 is Silver colored and Shed 5 is Black colored (using ref point-1, 2nd possibility). Blue and Orange colored sheds are in different rows i.e. Shed 4 and Shed 9 are Blue and Orange colored, but in any order as shown
 
Case-1-A
Row-2 Shed-6 Shed-7 Shed-8 Shed-9 Shed-10
Color Brown Grey Purple/Yellow Blue/Orange Silver
Vehicles          
Total Value     Rs.16.8 lakh Highest value  
 
Total Value Rs.16.8 lakh     Rs.9.6 lakh  
Vehicles          
Color Yellow/Purple White Green Orange/Blue Black
Row-1 Shed-1 Shed-2 Shed-3 Shed-4 Shed-5
 
Case-2: Shed 9 is Silver colored and Shed 4 is Black colored (using ref point-1, only possibility). Blue and Orange colored sheds are in different rows i.e. Shed 3 and Shed 10 are Blue and Orange colored, but in any order as shown
 
Case-2
Row-2 Shed-6 Shed-7 Shed-8 Shed-9 Shed-10
Color Brown Grey Purple/Yellow Silver Blue/Orange
Vehicles          
Total Value     Rs.16.8 lakh Highest value  
 
Total Value Rs.16.8 lakh     Rs.9.6 lakh  
Vehicles          
Color Yellow/Purple White Orange/Blue Black Green
Row-1 Shed-1 Shed-2 Shed-3 Shed-4 Shed-5
 
References:

Sum of the total value of the adjacent sheds of the Blue colored shed is Rs.20.4 lakh.

Total value of only one shed is more than Rs.18 lakh.

Total value of all vehicles in all the sheds together in Row-1 is Rs. 66 lakh.

Total value of Shed 4 is Rs.9.6 lakh, which is more than only the total value of Shed 6.

Inferences:

From above statements,

As per 1st  reference point we can conclude that Blue colored shed can’t be at any corners since sum of the total value of the adjacent sheds (i.e. immediate right & left) of Blue colored shed is Rs.20.4 lakh.

Case-1 gets eliminated since we can’t satisfy the 1st reference point.
 
Case-1 [Eliminated]
Row-2 Shed-6 Shed-7 Shed-8 Shed-9 Shed-10
Color Brown Grey Purple/Yellow Silver Blue/Orange
Vehicles          
Total Value     Rs.16.8 lakh Highest value  
 
Total Value Rs.16.8 lakh     Rs.9.6 lakh  
Vehicles          
Color Yellow/Purple White Green Black Orange/Blue
Row-1 Shed-1 Shed-2 Shed-3 Shed-4 Shed-5
 
Case-1-A, if Shed 9 is Blue colored and then sum of the total value of the adjacent sheds (Shed 8 & Shed 10) of the Blue colored shed is Rs.20.4 lakh.

We know the total value of Shed-8 is Rs.16.8 lakh and then the total value of Shed 10 is 3.6 lakh (Rs.20.4 lakh-Rs.16.8 lakh= Rs.3.6 lakh), which is not possible since total value of Shed 4 is Rs.9.6 lakh, which is more than only the total value of Shed 6.

If Shed 4 is Blue colored and then sum of the total value of the adjacent sheds (Shed 3 & Shed 5) of the Blue colored shed is Rs.20.4 lakh.

Given, total value of all vehicles in all the sheds together in Row-1 is Rs. 66 lakh.
 
Sheds in Row-1 & their total values
Total value of Shed 1 is Rs.16.8 lakh
Total value of Shed 4 is Rs.9.6 lakh
Sum of the total value of Shed 3 & Shed 5 is Rs.20.4 lakh
Therefore the total value of Shed 2 is 19.2 lakh
→ (Rs.66 lakh- (Rs.16.8 lakh + Rs.9.6 lakh +Rs.20.4 lakh))
→ Rs.66 lakh-Rs.46.8 lakh
→ Rs.19.2 lakh

Now the total value of Shed 2 is 19.2 lakh, which is not possible since total value of only one shed is more than Rs.18 lakh and we know only highest valued shed is Shed 9 (in all above 3 cases).

Thus Case-1-A gets eliminated since we can’t satisfy the Blue colored shed either at Shed 4 or at Shed 9.
 
Case-1-A [Eliminated]
Row-2 Shed-6 Shed-7 Shed-8 Shed-9 Shed-10
Color Brown Grey Purple/Yellow Blue/Orange Silver
Vehicles          
Total Value     Rs.16.8 lakh Highest value  
 
Total Value Rs.16.8 lakh     Rs.9.6 lakh  
Vehicles          
Color Yellow/Purple White Green Orange/Blue Black
Row-1 Shed-1 Shed-2 Shed-3 Shed-4 Shed-5
 
Case-2: As per 1st  reference point we can conclude that Blue colored shed can’t be at any corners. Therefore Shed 10 is Orange colored and Shed 3 is Blue colored (only possibility)

Given, Sum of the total value of the adjacent sheds (i.e. Shed 2 & Shed 4) of the Blue colored shed is Rs.20.4 lakh.

We know the total value of Shed-4 is Rs.9.6 lakh and then the total value of Shed 2 is 10.8 lakh (Rs.20.4 lakh-Rs.9.6 lakh= Rs.10.8 lakh) as shown,

Note: 2nd and 3rd reference points can be solved based on other statements
 
Case-2
Row-2 Shed-6 Shed-7 Shed-8 Shed-9 Shed-10
Color Brown Grey Purple/Yellow Silver Orange
Vehicles          
Total Value     Rs.16.8 lakh Highest value  
 
Total Value Rs.16.8 lakh Rs.10.8 lakh   Rs.9.6 lakh  
Vehicles          
Color Yellow/Purple White Blue Black Green
Row-1 Shed-1 Shed-2 Shed-3 Shed-4 Shed-5
Note: Only case-2 is left to solve further.

References:

Each shed has at least 1 bike and 1 car.

Total number of vehicles in Shed 4 is three.

Cost of each car is Rs.3.6 lakh and cost of each bike is Rs.2.4 lakh.

Number of bikes in White colored shed is 1 more than the number of cars in Shed 4.

Number of bikes in Silver colored shed is 2 more than the number of bikes in White colored shed.

Inferences:

From above statements,

Let Bike stands for B, Car stands for C and Vehicles stands for V

By using 1st and 2ndreference point, it is clear that Shed 4 has either (1 Car & 2 Bikes) or (2 Cars & 1 Bike) i.e. Total number of vehicles in Shed 4 is 3.

By using 3rd reference point Shed 4 calculation is shown below in table
 
Shed 4 Calculation
If Shed 4 has (1 Car & 2 Bikes) If Shed 4 has (2 Cars & 1 Bike)
1 Car=Rs.3.6 lakh 2 Cars=2*Rs.3.6 lakh=Rs.7.2 lakh
2 Bikes=2*Rs.2.4 lakh =Rs.4.8 lakh 1 Bike=Rs.2.4 lakh
Total value of Shed 4 is Rs.8.4 lakh (not possible) Total value of Shed 4 is Rs.9.6 lakh (given)
 
By using Shed 4 calculation we can conclude that Shed 4 has 2 Cars and 1 Bike.

Given, Number of bikes in White colored shed = 1 + number of cars in Shed 4.

We know number of cars in Shed 4 is 2.

Therefore Number of bikes in White colored shed=3 (1+2=3 bikes) i.e. Shed 2
 
Shed 2 Calculation
Total value of Shed 2 (White)=Rs.10.8 lakh
Number of bikes in Shed 2=3 bikes
Cost of all 3 bikes in Shed 2=3*Rs.2.4 lakh=Rs. 7.2 lakh
Cost of all cars in Shed 2=Rs.10.8 lakh-Rs.7.2 lakh=Rs.3.6 lakh
Cost of 1 car =Rs.3.6 lakh
Thus number of cars in Shed 2=1
 
Given, Number of bikes in Silver colored shed = 2 +number of bikes in White colored shed

Therefore Number of bikes in Silver colored shed=5 (2+3=5 bikes)

By using all above information we get the following case-2 as shown,
 
Case-2
Row-2 Shed-6 Shed-7 Shed-8 Shed-9 Shed-10
Color Brown Grey Purple/Yellow Silver Orange
Vehicles       +5B  
Total Value     Rs.16.8 lakh Highest value  
 
Total Value Rs.16.8 lakh Rs.10.8 lakh   Rs.9.6 lakh  
Vehicles   1C+3B=4V   2C+1B=3V  
Color Yellow/Purple White Blue Black Green
Row-1 Shed-1 Shed-2 Shed-3 Shed-4 Shed-5
References:

Average number of vehicles in White colored shed is equal to number of cars in Silver colored shed.

Total value of Orange colored shed is Rs.7.2 lakh less than Silver colored shed.

Shed 10 has equal number of cars and bikes.

Total value of Brown colored shed is half of the total value of the Orange colored shed.

Inferences:

From above statements,

We know White colored (Shed 2) shed has 4 vehicles and its average is 2 (4/2=2 vehicles)

Therefore number of cars in Silver colored shed is 2 (using ref point-1) i.e. Shed 9
 
Shed 9 Calculation
Number of bikes in Shed 9=5 bikes
Cost of all 5 bikes in Shed 9=5*Rs.2.4 lakh=Rs.12 lakh
Number of Cars in Shed 9=2 cars
Cost of all 2 cars in Shed 9=2*Rs.3.6 lakh=Rs.7.2 lakh
Total value of Shed 9 (Silver)=Rs.19.2 lakh (only highest value)
 
Given, Total value of Orange colored shed = Total valueSilver colored shed – Rs.7.2 lakh

Therefore Total value of Orange colored shed =Rs.12 lakh (Rs.19.2 lakh-Rs.7.2 lakh=Rs.12 lakh)

Given, Shed 10 has equal number of cars and bikes i.e. Orange colored.
 
Shed 10 Calculation
Total value of Shed 10 (Orange)=Rs.12lakh
Number of bikes in Shed 10=X (assumption)
Number of cars in Shed 10=X (assumption)
Cost of each bike is Rs.2.4 lakh & Cost of each car is Rs.3.6 lakh
Therefore, X*Rs.2.4 lakh + X*Rs.3.6 lakh=Rs.12 lakh
i.e. Rs.6 lakh*X=Rs.12 lakh→ X=2 (Rs.12 lakh/Rs.6 lakh=2)
Therefore,  Number of bikes in Shed 10=2
Number of cars in Shed 10=2
 
Given, Total value of Brown colored shed=1/2 *(total value of the Orange colored shed).

Therefore Total value of Brown colored shed is Rs.6 lakh (Rs.12 lakh/2=Rs.6 lakh) i.e. Shed 6
 
Shed 6 Calculation
Total value of Shed 6 (Brown)=Rs.6 lakh
Cost of each bike is Rs.2.4 lakh & Cost of each car is Rs.3.6 lakh
Each shed has at least 1 bike and 1 car
So number of bikes in Shed 6=1 & cost is Rs.2.4 lakh
Also number of cars in Shed 6=1 & cost is Rs.3.6 lakh
 
By using all above information we get the following case-2 as shown,
 
Case-2
Row-2 Shed-6 Shed-7 Shed-8 Shed-9 Shed-10
Color Brown Grey Purple/Yellow Silver Orange
Vehicles 1C+1B=2V     2C+5B=7V 2C+2B=4V
Total Value Rs.6 lakh   Rs.16.8 lakh Rs.19.2 lakh Rs.12 lakh
 
Total Value Rs.16.8 lakh Rs.10.8 lakh   Rs.9.6 lakh  
Vehicles   1C+3B=4V   2C+1B=3V  
Color Yellow/Purple White Blue Black Green
Row-1 Shed-1 Shed-2 Shed-3 Shed-4 Shed-5
References:

Total value of Green colored shed is equal to the sum of the total value of Black and Brown colored sheds.

Total value of Green and Grey colored sheds are same. 

Total value of all vehicles in all the sheds together in Row-1 is Rs. 66 lakh.

Number of cars in Blue colored shed is same as number of cars in Brown colored shed.

Inferences:

From above statements,

Given, Total value of Green colored shed= total value of Blackcolored shed + total value of Brown colored shed

We know total value of Brown colored shed (Shed 6) is Rs.6 lakh

We know total value of Black colored shed (Shed 4) is Rs.9.6 lakh

Therefore total value of Green colored shed=Rs.15.6 lakh (Rs.6 lakh+Rs.9.6 lakh=Rs.15.6 lakh) i.e. Shed 5

Also total value of Grey colored shed is Rs.15.6 lakh (using ref-point-2) i.e. Shed 7

Given, total value of all vehicles in all the sheds together in Row-1 is Rs. 66 lakh.
 
Sheds in Row-1 & their total values
Total value of Shed 1 is Rs.16.8 lakh
Total value of Shed 2 is Rs.10.8 lakh
Total value of Shed 4 is Rs.9.6 lakh
Total value of Shed 5 is Rs.15.6 lakh
Therefore the total value of Shed 3  is 13.2 lakh
→ (Rs.66 lakh- (Rs.16.8 lakh + Rs.10.8 lakh +Rs.9.6 lakh +Rs.15.6 lakh))
→ Rs.66 lakh-Rs.52.8 lakh
→ Rs.13.2 lakh

Now the total value of Blue colored shed is Rs.13.2 lakh i.e. Shed 3

Given, Number of cars in Blue colored shed is same as number of cars in Brown colored shed.

We know number of cars in Brown colored shed is 1. Therefore number of cars in Blue colored shed is also 1.
 
Shed 3 Calculation
Total value of Shed 3 (Blue)=Rs.13.2 lakh
Number of cars in Shed 3=1 &cost is Rs.3.6 lakh
Cost of all bikes in Shed 3=Rs.13.2 lakh-Rs.3.6 lakh=Rs.9.6 lakh
Cost of each bike is Rs.2.4 lakh
Number of bikes in Shed 3=Rs.9.6 lakh/Rs.2.4 lakh=4
 
By using all above information we get the following case-2 as shown,
 
Case-2
Row-2 Shed-6 Shed-7 Shed-8 Shed-9 Shed-10
Color Brown Grey Purple/Yellow Silver Orange
Vehicles 1C+1B=2V Rs.15.6 lakh   2C+5B=7V 2C+2B=4V
Total Value Rs.6 lakh   Rs.16.8 lakh Rs.19.2 lakh Rs.12 lakh
 
Total Value Rs.16.8 lakh Rs.10.8 lakh Rs.13.2 lakh Rs.9.6 lakh Rs.15.6 lakh
Vehicles   1C+3B=4V 1C+4B=5V 2C+1B=3V  
Color Yellow/Purple White Blue Black Green
Row-1 Shed-1 Shed-2 Shed-3 Shed-4 Shed-5

References:

Number of bikes in Yellow and Blue colored sheds are same.

Total number of cars in Green and Yellow colored sheds together is equal to 5.

Number of bikes in Grey colored shed is equal to number of cars in Yellow colored shed.

Total number of cars in all the sheds together in Row-2 is 12.

Inferences:

From above statements,

Number of bikes in Blue colored shed is 4. Therefore number of bikes in Yellow colored shed is also 4 (using ref point-1)

We know Total value of Yellow colored shed is Rs.16.8 lakh
 
Yellow colored shed Calculation (Shed 1 or Shed 8)
Total value of Yellow colored shed=Rs.16.8 lakh
Number of bikes in Yellow colored shed=4
Cost of all 4 bikes in Yellow colored shed=4*Rs.2.4 lakh= Rs.9.6 lakh
Cost of all cars in Yellow colored shed= Rs.16.8 lakh- Rs.9.6 lakh=Rs.7.2 lakh
Cost of each car is Rs.3.6 lakh
Number of cars in Yellow colored shed=Rs.7.2 lakh/Rs.3.6 lakh=2
 
Given, Total number of cars in Green and Yellow colored sheds together is equal to 5.

Therefore total number of cars in Green colored shed is 3 (5-2=3 cars)
 
Shed 5 Calculation
Total value of Shed 5 (Green)=Rs.15.6 lakh
Number of cars in Shed 5=3
Cost of all 3 cars in Shed 5=3*Rs.3.6 lakh=Rs.10.8 lakh
Cost of all bikes in Shed 5=Rs.15.6 lakh-Rs.10.8 lakh=Rs.4.8 lakh
Cost of each bike is Rs.2.4 lakh
Number of bikes in Shed 5=Rs.4.8 lakh/Rs.2.4 lakh=2
 
Given, Number of bikes in Grey colored shed is equal to number of cars in Yellow colored shed. We know number of cars in Yellow colored shed is 2. Therefore number of bikes in Grey colored shed is also 2.
 
Shed 7 Calculation
Total value of Shed 7 (Grey)=Rs.15.6 lakh
Number of bikes in Shed 7=2
Cost of all 2 bikes in Shed 7=2*Rs.2.4 lakh=Rs.4.8 lakh
Cost of all cars in Shed 7=Rs.15.6 lakh-Rs.4.8 lakh=Rs.10.8 lakh
Cost of each car is Rs.3.6 lakh
Number of cars in Shed 7=Rs.10.8 lakh/Rs.3.6 lakh=3
 
Given, Total number of cars in all the sheds together in Row-2 is 12.
 
Sheds in Row-2& their number of cars
Number of cars in Shed 6=1
Number of cars in Shed 7=3
Number of cars in Shed 9=2
Number of cars in Shed 10=2
Therefore the total number of cars in Shed 8 is 4
→ (12-(1+3+2+2))
→ 12-8
→ 4 cars i.e. number of cars in Shed 8
 
As we know number of cars in Yellow colored shed is 2. Therefore we can conclude that Shed 8 is Purple colored and it has 4 cars & Shed 1 is Yellow colored and it has 2 cars and 4 bikes 
 
Shed 8 Calculation
Total value of Shed 8 (Purple)=Rs.16.8 lakh
Number of cars in Shed 8=4
Cost of all 4 cars in Shed 8=4*Rs.3.6 lakh=Rs.14.4 lakh
Cost of all bikes in Shed 8=Rs.16.8 lakh-Rs.14.4 lakh=Rs.2.4 lakh
Cost of each bike is Rs.2.4 lakh
Number of bikes in Shed 8=Rs.2.4 lakh/Rs.2.4 lakh=1

All the given conditions and statements get satisfied and we get the completed arrangement as shown below,
 
Case-2
Row-2 Shed-6 Shed-7 Shed-8 Shed-9 Shed-10
Color Brown Grey Purple Silver Orange
Vehicles 1C+1B=2V 3C+2B=5V 4C+1B=5V 2C+5B=7V 2C+2B=4V
Total Value Rs.6 lakh Rs.15.6 lakh Rs.16.8 lakh Rs.19.2 lakh Rs.12 lakh
 
Total Value Rs.16.8 lakh Rs.10.8 lakh Rs.13.2 lakh Rs.9.6 lakh Rs.15.6 lakh
Vehicles 2C+4B=6V 1C+3B=4V 1C+4B=5V 2C+1B=3V 3C+2B=5V
Color Yellow White Blue Black Green
Row-1 Shed-1 Shed-2 Shed-3 Shed-4 Shed-5

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