## Ten most important questions of Reasoning Analogy in missing numbers in various figures

we are going to discuss Ten most important  questions of  missing number  in Reasoning Analogy in various figures

PROBLEM # 1
Find missing Number ?

Since in 1st row we can write 2,3 and 4 these numbers to get 10 like this
( 3 × 2 ) + 4 = 6 + 4  = 10
And in 2nd row  ( 4 × 3 ) + 5 = 12 + 5 = 17,
In 3rd row ( 5 × 4 ) + 6 = 20 + 6 = 26
Similarly ( 6 × 5 ) + 7 = 30 + 7 = 37
So  " ? "   Will be replaced by 37 .
पहली संख्या को दूसरी संख्या से गुणा करने   के बाद उसमें तीसरी संख्या जोड़ देने से हमें    बराबर है  चिन्ह के दायीं  तरफ की संख्या मिलती है

## PROBLEM # 2

Find missing Number ?

Let us find relation between 3 and 32 , if we double the square of  3 ,we shall have 18.
2 × ( 3^2) = 2 × 9 = 18
And in 2nd row if we double the square of  4 ,we shall have 32
2 × ( 4^2) = 2 × 16 = 32
In the same way third ,fourth and  fifth column can be calculated like this

2 × ( 5^2) = 2 × 25 = 50
2 × ( 6^2) = 2 × 36 = 72
2 × (7^2)  = 2 × 49 = 98
सबसे पहले जो संख्या दी गई है उसका वर्ग करें और उसको 2 से गुणा कर दीजिए हमें दाएं तरफ की संख्या मिल जाएगी ।

## PROBLEM # 3

Find missing Number ?

As the sum of first and second number in first and second rows in any particular column is equal to third element in that particular column so to get the value of " ? " . Add first and second numbers column wise to get third number as follows.
56 - 12 =  44,
78 - 30 = 48 ,
65 - ? = 14 ➡️  ? = ? = 65 - 14  = 49
So 49 is required number .
इस   प्रश्न को हल करने के लिए हम column wise  सोचेंगे । हम हर column में पहली संख्या से दूसरी संख्या को घटाकर तीसरी संख्या प्राप्त कर सकते हैं जैसे कि
56 - 12 = 44 ,
78 - 30 = 48 , इसी तरह से
65 - 51  = 14

PROBLEM # 4
Find missing Number ?

Answer can be splited into two parts, 1st part can be obtained multiplying given two  numbers and second part can be obtained by adding these two numbers .
1st row 5 × 3  = 15 and 5 + 3 = 8 so 5 + 3 = 158
2nd row 9 × 1  = 9 and 9 + 1 = 10 so 5 + 3 = 910
3rd  row 8 × 6  = 48 and  8 +6 =14  so 8 + 6 = 4814
4th row 4 × 4 = 16 and   4 + 4 =8 so  4 + 4 = 168.
5th row 7 × 3 = 21 and 7 + 3 = 10 so 7 + 3 = 2110
So ?  Will be replaced by 2110.
हमारे पास दो संख्याएं दी गई है पहले उन दोनों संख्याओं को गुणा करेंगे तो दाएं तरफ की संख्या के पहले दो अंक (  अगर गुणा करने से 2 अंक बनते हो तो) लिखे जाएंगे फिर उन दोनों संख्याओं को जमा करेंगे तो दाएं और दी गई संख्या के आखिरी दो अंक लिखे जाएंगे ।
.
PROBLEM # 5
Find missing Number ?

## Formula a*b = (a × b) + (b - 1)

This the sum of two numbers , out of 1st number is product of two given two numbers and second number is the number one less than 2nd given number

3*2 = (3 × 2) + (2 - 1) = 6 + 1 = 7
5*4 = (5 × 4) + (4 - 1) = 20 + 3 = 23
7*6 = (7 × 6) + (6 - 1) = 42 + 5 = 47
9*8 = (9 × 8) + (8 - 1) = 72 + 7 = 79
10*9 =(10 × 9) + (9 - 1) =90 +8 = 98
पहले दोनों दी गई संख्याओं को गुणा करें फिर दूसरी संख्या से एक घटाने के बाद गुणा करने के बाद जो उत्तर आया था  ।उसमें जमा कर दें ,आपको दाएं तरफ की संख्या मिल जाऐगी ।

Suppose we have three numbers a , b and c then

## Formula for this puzzle is = a × b + b or  b(a + 1)

Put a = 2 and  b = 6 in above formula ,we get

1st Line = (2  × 6)   +  6  = 12   +   6   = 18
Put a = 4 and  b = 20 in above formula to get 2nd line,we get
(4  × 20) + 20 = 80   +  20  = 100
Put a = 5 and  b = 21 in above formula to get 3rd line,we get
(6 × 21) + 21 = 126 +  21  = 147
So required and correct answer will be  6
तीसरे स्थान पर दी गई संख्या को दूसरे स्थान पर दी गई संख्या से भाग करें तथा जो उत्तर आएगा उसमें से एक घटाएं, हमें पहले स्थान पर दी गई संख्या मिल जाएगी

PROBLEM # 7
Find missing Number ?

If in every row ,we add 1st and 3rd column and then multiply the sum with 2ndcolumn, we shall have number in 5th column .

If we  consider three numbers a , b and c and start calculation by   Formula =  (a × b) + (b × c)  or b(a + c)  --------(1)

To get 1st line , put a = 1 , b = 2 and c = 3 in (1) , we get

1st Line =  (1×2) + (2×3) =2 + 6 = 8

To get 2nd line , put a = 2 , b = 3 and c = 4 in (1) , we get

2nd  Line =  (2×3) + (3×4) = 6 + 12 =  18

To get 3rd line , put a = 3 , b = 4 and c = 5 in (1) , we get

3rd Line =  (3×4) + (4×5) = 12 + 20  = 32

To get 4th line , put a = 4 , b = 5 and c = 6 in (1) , we get

4th Line =  (4×5) + (5×6) = 20 + 30  = 50

Similarly Last line can be calculated by putting a = 5 , b = 6 and c = 7 in (1) , we get

Last line  =  (5×6) + (6×7) = 30 + 42  = 72
Hence Required  and correct answer will be 72
पहले दूसरे column  ब  दूसरे तीसरे column को आपस में गुणा करें , गुणा करने के बाद जो उत्तर आऐंगे  उनको जमा कर दें हमें चौथे column की संख्या मिल जाएगी ।

PROBLEM # 8

## Case 1

If we choose   1st Line  from 5 then look at the pattern  line wise
5  ×  3 = 15
8  ×  3 = 24
12 × 3  =  36

In this pattern we can conclude 12 ×3 = 36

## Case 2

If we choose   1st Line  from ? then look at the pattern  line wise

?    ×  3 = 12
5   ×  3  = 15
8   ×  3  = 24
Therefore ? will be replaced  by 4.
Hence    4 ×  3  = 12

PROBLEM # 9
Find missing Number ?

This circle can be divided into two parts ,  1st part containing the number 4 ,5 ,6 and 7 and second part containing 7 , 9 ,11 and ?.            Now study  the opposite number of 4  which is 7 . Then study the relation between other numbers and its opposite number ,we find difference between 4 and 7 is 3 , difference between 5 and 9 is 4 , difference between 6 and 11 is 5  . so in this pattern we find difference between ' ? '  and  7 must be 6 .
7 - ? =  2 means ? = 5
7 - 4 =  3
9 - 5 =  4
11 - 6 = 5 , the difference is increased by 1 everytime .
?   - 7 = 6  means ? = 13
Either 5 or 13 should be the required number, but 5 is not given in any option.
So ? Will be replaced by 13 which is the required answer
Hence  option ( b)  is the correct option

PROBLEM # 10
Find missing Number ?

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