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Worked Examples

Example-1

Identify the rule

 

 

(21 – 13) – (15 – 11)
= 8 - 4
= 4

Verify the rule

 

 

(16 - 9) - (11 - 7)
= 7 - 4
= 3

Apply the rule

 

 

 (14 – 5) – (9 – 6)
= 9 - 3
= 6

Rule: (c – a) – (d – b) = e
(The rule holds good.)

Answer: 6
 

 
Example-2

Identify the rule

 

 

Description: Description: 58808.png
= 2 + 5 + 7 + 6
= 20

Verify the rule

 

 

Description: Description: 58817.png
= 4 + 6 + 9 + 3
= 22

Apply the rule

 

 

Description: Description: 58825.png
= 6 + 2 + 3 + 5
= 16
 
Rule: Description: Description: 58840.png
The rule holds good.

Answer: 16.
 

 
Example-3
Identify the rule
 
 
(8 + 5 + 17 + 12) ÷ 2
= 42 ÷ 2
= 21

Verify the rule
 
 
(11 + 9 + 16 + 2) ÷ 2
= 38 ÷ 2
= 19

Apply the rule
 
 
(18 + 7+ 15 + 4) ÷ 2
= 44 ÷ 2
= 22

Rule: (a + b + c + d) ÷ 2 = e
The rule holds good.

Answer: 22
 
 
Example-4

Identify the rule

 

 

Description: Description: 58875.png
= 4 + 7
= 11

Verify the rule

 

 

Description: Description: 58884.png
= 3 + 7
= 10

Apply the rule

 

 

Description: Description: 58892.png
= 9 + 4
= 13

Rule: Description: Description: 58901.png
The rule holds good.

Answer: 13
 

 
Example-5

Identify the rule

 

 

Description: Description: 58962.png
Description: Description: 58985.png

Verify the rule

 

 

Description: Description: 58971.png
Description: Description: 58994.png

Apply the rule

 

 

Description: Description: 58978.png 
Description: Description: 59001.png

Rule: Description: Description: 59004.png
The rule holds good.

Answer: 144
 

 
Example-6

Identify the rule

 

 

Description: Description: 59032.png
Description: Description: 59062.png

Verify the rule

 

 

Description: Description: 59041.png
Description: Description: 59074.png

Apply the rule

 

 

Description: Description: 59048.png 
Description: Description: 59081.png

Rule: Description: Description: 59090.png

 

The rule holds good.

Answer: 4
 

 
Example-7

Identify the rule

 

 

22 + 62 + 82 + 32
= 4 + 36 + 64 + 9
= 113

Verify the rule

 

 

32 +72 + 42 + 52
= 9 + 49 + 16 + 25
= 99

Apply the rule

 

 

52 + 92 + 62 + 12
= 25 + 81 + 36 + 1 = 143

Rule: a2 + b2 + c2 + d2 = e

 

The rule holds good.

Answer: 143
 





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