Ten Tricky logical reasoning questions+answers , Latest reasoning questions with answers

Ten latest and Tricky logical reasoning questions+answers are discussed in this post . These questions of reasoning in latest reasoning questions with answers are very very important for upcomig competitive exams  like Bank PO , SSC CGL etc . So let us start solving and understanding these Maths logical reasoning questions with answers.

Problem #1

Ten Tricky logical reasoning questions+answers

Magnitude of {(7 + 5) (7 - 5 ) - cube of 5 } = 125 - 12 *2 = 125 - 24 = 101
Magnitude of {(8 + 3) ( 8 - 3 ) - cube of 3 } = 11 * 5 - 27 = 55 - 27 = 28
Magnitude of {(6 + 2) ( 6 - 2 ) - cube of 2  } = 8 * 4  - 8 = 32 - 8 = 24
Magnitude of {(5 + 4) ( 5  - 4 )  - cube of 4 } =  64 -  9*1 =  64 - 9  = 55
 Note :- Magnitude of  difference of two numbers means , we have to consider the difference of two numbers irrespective of their positions, And the magnitude of difference of two numbers will always be a positive value .The magnitude of  3 - 2 and 2 - 3 will be same and will be equal to 1 ( not -1)  and  magnitude of 7 - 9  and 9 - 7 will be same and equal to  2 ( not -2 ), Similarly the magnitude of 11 - 2 and 2 - 11 will same and equal to 9 (  not -9 ).

Alternate Method 

Magnitude  { { 72  -   52  } -  (  53 ) } =  (  53  { 72  -   52  } = 125 - ( 49 - 25) =125 - 24 = 101
Magnitude  { { 82  -   32  } -  (  33 ) } = { 82  -   32  }  -  (  33  = ( 64 - 9 ) - 27 = 55 - 27 =  24
Magnitude  { { 62  -   22  } -  (  23 ) } = {62  -   22  }  -  (  23  =  ( 36  - 4) - 8 = 32 - 8 = 24
Magnitude  { { 52  -   42  } -  (  43 ) } =  (  43  { 52  -   42  } = 64 - ( 25 - 16 ) = 64  - 9 = 55

Option (2) is correct

Problem #2

Ten Tricky logical reasoning questions+answers

Difference of digits of numbers in outer circle of any Quadrant - (difference of digits of numbers in inner circle of any Quadrant ) = two  in every case
(55 - 52 ) - (9 - 8)  = 3 - 1 = 2
(29  - 21 ) - (9 - 3)  = 8 - 6 = 2
(18 - 12) - (8 - 4)  = 6 - 4 = 2
(7 - 5) - (4 - 4)  = 2 - 0 =2
Option (4) is correct

Problem #3

Ten Tricky logical reasoning questions+answers

1st quadrant 
4 ×   (7 - 3)2   = 4 ×  42  =  4  × 16 = 64
2nd quadrant 
4 ×  (5 - 5)2  = 4 × 02  =  4 × 0  = 0
3rd quadrant 
4 ×  (11 - 8)2  = 4 ×  32  =  4 × 9 = 36
4th quadrant 
4 ×   (8 - 2)2  = 4 ×  62  =  4×  36 = 144
Option  (3) is correct option

Problem #4


Ten Tricky logical reasoning questions+answers
In this figure the sum of the digits of the number obtained from the multiplication of both the numbers which are outer part of that particular quadrant.
8 × 2 = 16 = 1 + 6 = 7 digit in middle left box
6 × 5 = 30 = 3 +0 = 3 digit in middle left box
6 × 9 = 54 = 5 + 4  = 9 digit in middle right box
4 × 1 = 04 = 0  + 4 = 4 digit in middle right box
Option  (2) is correct option

Problem #5

Ten Tricky logical reasoning questions+answers
 (11 - 7 )3  =  43  = 64  (1st number in 2nd row ) 
  (14 - 11 )3 =  33 = 27  ( 2nd number in 2nd row ) 
  (64 - ?)2  =   43  = 8  ( It will be 3rd number in 2nd row ) 
So ? = 66
Alternate Method 

Add the cube root of respective number  in 2nd row to the number in 1st row to get number in 3rd row. 
7 + cube root of 64 = 7 + 4 = 11 ( 1st number in 3rd row) 
11 + cube root of 27 = 11 + 3 = 14 ( 2nd number in 3rd row) 
64 + cube root of 8 = 64 + 2 = 66 ( 3rd number in 3rd row) 
Option  (B) is correct option

Problem #6

Ten Tricky logical reasoning questions+answers
 Pick all prime number upto 11
1st prime number = 2
   Multiply it with next number
2 × 3 = 6 ( 2nd  number in the series) 
2nd prime number = 3
   Multiply it with next number
3 × 4 = 12 ( 3rd  number in the series) 
3rd prime number = 5
   Multiply it with next number
5 × 6 = 30 ( 4th  number in the series) 
4th prime number = 7
   Multiply it with next number
7 × 8 = 56 ( 5th  number in the series) 
5th prime number = 11
   Multiply it with next number
11 × 12 = 132 ( 6th   number in the series) 
Option  (D) is correct option

Problem #7

Ten Tricky logical reasoning questions+answers

Add the twice of the number in 1st column to the half of the number in 2nd column to get the 3rd number in every row. 

( 2 × 6 ) + ( 8 ÷ 2 ) = 12 + 4 = 16 ( 1st number in 3rd column) 
( 2 × 1 ) + ( 6 ÷ 2 ) = 2 + 3 = 5 ( 2nd number in 3rd column) 

( 2 × 3 ) + ( 10 ÷ 2 ) = 6 + 5 = 11 ( 3rd number in 3rd column) 

Problem #8

Ten Tricky logical reasoning questions+answers
Divide with 10 the Multiplication/Product of  all the numbers which are in the outer part of triangles to get the number in the centre of the triangle. And this method will be appplicable to all the three  triangles.
1st triangle 
(5 × 6 × 4 ) ÷ 10 = 120 ÷10 =12
2nd triangle
(6 × 7 × 5 ) ÷ 10 = 210 ÷10 =21
3rd triangle
(4 × 8 × 10 ) ÷ 10 = 320 ÷10 =32
Option  (3) is correct option

Problem #9


Ten Tricky logical reasoning questions+answers
Here every figure consist of three numbers in 1st line and one number in 2nd line. And 2nd number written in every figure is the (HCF) Highest common Factor of all the three numbers in the 1st line in each figure. 
H C F ( Highest common Factor ) of 9 ,15 , 18 = 3 (1st figure )
HCF ( Highest common Factor ) of 16 ,28 , 32 = 4 ( 2nd figure )
HCF ( Highest common Factor ) of 24 ,36 , 48 = 12 (3rd figure )
Therefore option (4) is correct option .

Problem #10

Ten Tricky logical reasoning questions+answers
Take reverse of sum of both the numbers in every quadrant to get the number attached to middle of this figure. 

9 + 8  = 17 ↔️71 ( The number in the middle of  4th Quadrant)
8 + 3  = 11 ↔️11 (  The number in the middle of  1st Quadrant)
5 + 7  = 12 ↔️21 ( The number in the middle of   2nd Quadrant)
7 + 7  = 14 ↔️41 ( The number in the middle of   3rd Quadrant)
Therefore option (2) is correct option .

In this post I disscussed Ten Tricky logical reasoning questions+answers , Latest reasoning questions with answers  . Comment your valuable suggestion for further improvement.

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Ten most expected missing number series questions for SBI PO with solution for other competitive Exams

Maths    Reasoning   

Ten most expected  missing  number series questions for SBI PO with solution , for SSC GL , SSC CHSL , RRB NTPC and other competitive Exams  have been discussed in this post.  These types of series questions are asked in many other competitive exams like SI, CPO and various entrance exams. 

Problem # 1

missing  number series questions for SBI PO with solution

Take the difference of two consecutive terms of the given series. This difference will be the pair of same odd numbers in every case.

16 - 5 = 11 (The difference of 1st and 2nd number is pair of odd number one)

49 - 16 = 33  (The difference of 2nd and 3rd number is pair of odd number three )

104 -  49 = 55  (The difference of 3rd and 4th number is pair of odd number  five)

? - 104 = 77   ( Similarly the difference of 4th and 5th number will pair of odd number seven)

⇒ ? =  77 + 104  (And in the same way the difference of 5th and 6th number is pair of odd number nine )

⇒ ? = 181

280 - ? = 99  

⇒ ? = 280 - 99 

⇒? = 181

Option (2)181 will be correct option

Problem # 2missing  number series questions for SBI PO with solution

In this series every number is written as power of one less than the term,s position and taking as base of  5 . i.e. 1st term is written as power of 0 , 2nd term is written as power of 1, 3rd term is written as power of 2 , 4th term is written as power of 3 and so on.
5^0 - 0 = 1 - 0 = 1  (Power 0 of base 5 - same power )
5^1 - 1 = 5 - 1 = 4   (Power 1 of base 5  - same power   )
5^2 - 2 = 25 - 2 = 23   (Power 2 of base 5  - same power  )
5^3 - 3 = 125 - 3 = 123   (Power 3 of base 5  - same power )
5^4 - 4 = 625 - 4 = 621   (Power 4 of base 5  - same power  )
Option (4)621 is correct option

Problem # 3missing  number series questions for SBI PO with solution

In this series every number is written as power of one greater than the term,s position and taking as base of  5 . i.e. 1st term is written as power of 0 , 2nd term is written as power of 1, 3rd term is written as power of 2 , 4th term is written as power of 3 and so on.
5^0 + 0 = 1 + 0 = 1  (Power 0 of base 5 + same power )
5^1 + 1 = 5 + 1 = 6   (Power 1 of base 5  + same power   )
5^2 + 2 = 25 + 2 = 27   (Power 2 of base 5  + same power  )
5^3 + 3 = 125 + 3 = 128   (Power 3 of base 5  + same power )
5^4 + 4 = 625 + 4 = 629   (Power 4 of base 5  + same power  )
Option (2)629 will be correct option.

Problem # 4missing  number series questions for SBI PO with solution


In this series every number is written as cube of  the term,s position and one number less than it . i.e. 1st term is written as cube of 1 and less than 1 , 2nd term is written as cube of 2 and less than 1, 3rd term is written as cube of 3 and one lees than it , 4t term is written as cube of 4 and one less than it and so on.
 1³ - 1 = 1 - 1 = 0
 2³ - 1 = 8 - 1 = 7
 3³ - 1 = 27 - 1 = 26
 4³ - 1 = 64 - 1 = 62
 5³ - 1 = 125 - 1 = 124
 6³ - 1 = 216 - 1 =  215
Option (1)124 will be correct option.

Problem # 5missing  number series questions for SBI PO with solution



5  * 1  + 2 = 5  +  2 = 7 ( To get 2nd term Multiplying 1st term with 1 and add 2 to it)
7 * 2  -  4 = 14 - 4  = 10 ( To get 3rd term Multiplying 2nd term with 2 and subtract 4 to it )
10 * 3  + 6 = 30 + 6 = 36 ( To get 4th term Multiplying 3rd term with 4 and add 6 to it) 
36 * 4  - 8 = 144 - 8 = 136 ( To get 5th term Multiplying 2nd term with 2 and subtract 4 to it )
136 * 5  + 10 = 680 +10= 690 ( To get 2nd term Multiplying 1st term with 1 and add 2 to it)
Option (2)690 will be correct option.

Problem # 6

missing  number series questions for SBI PO with solution

To get 2nd term ,multiply 1st term with half and add cube of 1 to it .
12 * 0.5 + 1 = 6 + 1 =  6 +  1³ = 6 + 1 = 7
To get 3rd term ,multiply 2nd term with one ( double of half ) and add cube of 2 to it .
 7 * 1  + 8 = 7 +  2³ =  7 + 8 = 15 
To get 4th  term ,multiply 3rd term with 2 ( double of 1 ) and add cube of 3  to it .
15 * 2 +  27 =  30 +  3³ = 57
To get 5th  term ,multiply 4th term with 4 ( double of 2 ) and add cube of 4  to it .
57 * 4 + 64 =  228 +  4³ = 292
To get 6th  term ,multiply 5th term with 8 ( double of 4 ) and add cube of 3  to it .
292 * 8 + 125 = 2336 + 125 = 2461
option (4)2461 is correct option

Problem # 7

missing  number series questions for SBI PO with solution

Multiply 1st term of the series with one and half  (1.5) to get 2nd term of the series.
10 * 1.5 = 15
Multiply 2nd term of the series with three  (  double the 1.5 i.e. 2 * 1.5 = 3 ) to get 3rd term of the series.
15 * 3 = 45
Multiply 3rd term of the series with  6 (  double the 3 i.e. 3 * 2 = 6) to get 4th  term of the series.
45 * 6 = 270
Multiply 4th term of the series with 12  ( double the 6 i.e. 6 * 2 = 12 ) to get 5th term of the series.
270 *  12  = 3240
Multiply 5th term of the series with 24 (  double the 12 i.e. 12 * 2 = 24 ) to get 2nd term of the series.
3240 * 24 =  77760 
Option (2)77760 is correct option

Problem # 8missing  number series questions for SBI PO with solution



2 * 5 - 1 = 10 -1 = 9  ( 2nd term is written as multiple of 5 with 1st term  and decrease it by 1 )
9 * 5 + 3 =  45 + 3 = 48  ( 3rd term is written as multiple of 5 with 2nd term  and increase it by 3)
48  * 5 - 5 = 240- 5 =235  ( 4th term is written as multiple of 5 with 3rd term  and decrease it by 5)
235 * 5 + 7 = 1185 + 7 = 1182  ( 5th term is written as multiple of 5 with 4th term  and decrease it by 7 )

Note carefully in this problem ,operation of decreasing and increasing used alternatively.
Option (2)1182 is correct option

Problem # 9

missing  number series questions for SBI PO with solution

In this series 1st term is 12 , To get 2nd term from it we just multiplied it with half
12 * 1/2 =  6
To get 3rd term from 2nd term we just multiplied it with double of the number what we have multiplied in last term i.e. 2 *( 1/2) =1 
6 *1 = 6 
To get 4th term from 3rd term we just multiplied it with double of the number what we have multiplied in last term i.e. 2 *( 1) =2 
6 * 2 = 12 
To get 5th term from 3rd term we just multiplied it with double of the number what we have multiplied in last term i.e. 2 *( 2 ) =4 
12 * 4 = 48 
To get 6th term from 5th term we just multiplied it with double of the number what we have multiplied in last term i.e. 2 *( 4 ) =8 
48 * 8 = 384
Hence (2)384 will be correct option

Problem # 10missing  number series questions for SBI PO with solution

To find out the solution of  above series problem just add all the digits of the every number given , this sum will leads to the next number of the series
5 + 3 + 4 + 2 = 14 ( 2nd number in series) 
Similarly add all the digits of the 3rd number, this sum will leads to the 4th number of the series
5 + 2 + 3 + 1 = 11 ( 4th number in series) 
4 + 1 + 2 + 0 = 17 ( 6th number in series) 
6 + 7 + 3 + 2 = 18  ( last/ Missing number in series) 
Option (4)18 is correct option

Also Reads these posts on Reasoning
ReasoningProblems #11  
ReasoningAnalogy #10
Reasoning Questions #9    
Circle Reasoning #8
TenBox-Problems #7   
TenReasoning problems #6
Ten-Important-Problem#5  
Ten--Tricky-Puzzles #4
Twelve-Figures-Problems#3   
Ten-Important-Reasoning#2     
Picture-Reasoning#1






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Ten Most Important Reasoning questions with answers for competitive exams

Maths    Reasoning   

Ten Most Important Reasoning questions with answers for competitive exams of circles,box and other type with solutions will be discussed in this post . These types of problems are very helpful for cracking competitive exams like ssc cgl, ssc chsl and various Bank exams and many other similar exams .

Problem # 1

Reasoning questions with answers
Exam cracker
Divide with 2 the sum of 1st and 3rd number in every column of  each row to get the number middle row .
 ( 7 + 9 )/2 = 16/2 = 8
(4 + 6) /2  = 10/2 = 5
(1 + ? )/2  = 2 
⇒ (1 + ? ) = 4
⇒  ?  = 4 - 1
⇒  ? = 3
Therefore option (B) is correct option

Problem # 2

Reasoning questions with answers
Here every figure consist of three numbers in 1st line and one number in 2nd line. And 2nd number written in every figure is the (HCF) highest common factor of all the three numbers in the 1st line . 
H C F ( Highest Common Factor )  of  4 ,8 , 12  =  4 (1st figure )
H C F ( Highest Common Factor )  of 12 ,24 , 30  = 6 ( 2nd figure )
H C F ( Highest Common Factor )  of  21 ,14 , 42  = 7 (3rd figure )
Therefore option (1) is correct option

Problem # 3


Reasoning questions with answers
One tenth of sum of all the numbers except middle number in each box is equal to middle number in that box. 
(3 * 4  * 2 * 5 )/10 = 120 / 10 = 12 ( Middle number in 1st box ) 
(6 * 2  * 3 * 5 )/10 = 180 / 10 = 18 ( Middle number in 2nd box ) 
(2 * 2  * 9 * 5 )/10 = 180 / 10 = 18  ( Middle number in 3rd box ) 
Therefore option (2) is correct option.

Problem # 4

Reasoning questions with answers
Sum of the product of both the numbers in 1st and 2nd line is equal to middle numbers in each figure. 
(5 * 4 ) + ( 3 * 1) = 20 + 3 = 23  ( Middle number in 1st figure ) 
(7 * 6 ) + ( 3 * 4) = 42 + 12 = 54 ( Middle number in 2nd figure )
(11 * 2 ) + (? * 9) = 22 + 9? = 40
 9? = 40 - 22 
 9? = 18
⇒ ? = 2 ( Middle number in 3rd figure )
Therefore option (C) is correct option

Problem # 5


Reasoning questions with answers
This problem have three figures and  every figure consist of  one number in the middle of the figure and four numbers  around it .The product of middle number's digits is equal to the sum of the remaining numbers/digits around the figure.
7 + 4 + 7  + 12  = 30 =  5 * 6 =  Product of  middle number 56 in 1st figure.
15 + 7  + 12   + 8  =  42  = 6 *7 =  Product of  middle number 67 in 2nd figure
11 + 18 + 5  + ?  =  36 = 6 * 6 =  Product of  middle number 66  in 3rd figure
⇒ 34 + ? = 36 
⇒ ? = 36 - 34 
⇒  ? = 2
Therefore option (1) is correct option

 

 Problem # 6

Reasoning questions with answers
This circle consists of four quadrants and every  quadrant consists of three numbers , Every quadrant have two numbers in outer part and  one number  in its inner part . To find the value of question mark  "?"  , we shall use two numbers which are in the outer part of it to calculate the value of the number which is in the inner part of every quadrant . 

4th Quadrant

 ( 7 × 4 )/4  =   28/4  = 7 ( Middle number in inner part)

3rd Quadrant

 ( 8 × 5 )/4  =   40/4  = 10 ( Middle number in inner part)

2nd Quadrant

 ( 4 × 20 )/4  =   80/4  = 20 ( Middle number in inner part)

1st Quadrant

 ( 6 × 8 )/4  =   48/4  = 12 ( Middle number in inner part)

Problem # 7


Reasoning questions with answers
This problem have three figures and  every figure consist of three numbers in 1st line and one number in 2nd line. And 2nd number written in every figure is the (HCF) highest common factor of all the three numbers in the 1st line. 
H C F ( Highest Common Factor )  of 12 ,18 , 30  = 6 (1st figure )
H C F ( Highest Common Factor )  of 16 ,32 , 40  = 8 (2nd figure )
H C F ( Highest Common Factor )  of 36 ,18 , 27  = 9 ( 3rd figure )
Therefore option (3) is correct option.

Problem # 8


Reasoning questions with answers
Starting from 2 and moving clockwise multiplying two opposite numbers which will contribute 56 in each case.
2 * 28 = 56 
14 * 4 = 56 
Similarly the product of 7 and ? must be equal to 56.
7 * ? = 56
  ? = 56/7 = 8
Therefore option (A) is correct option.

Problem # 9


Reasoning questions with answers
This problem consist of three figures and every figure have three numbers out of which two numbers are smallest than 3rd number. So starting from smallest number and proceeding anticlockwise likewise. 
Sq of  2 + Sq of 4 = 4 + 16 = 20 ( 1st figure) 
Sq of  3 + Sq of 9 = 9 + 81 = 90 (2nd figure) 
Sq of  1 + Sq of 5 = 1 +  25 = 26 (3rd figure) 
Therefore option (3) is correct option.

Problem # 10


Reasoning questions with answers
This circle have following numbers in it. 40 , 45, 25 , 40 , 30, 35 , 35 , ? . 
Now after carefully studying these numbers, we find that these numbers are written in two alternate series . So starting from number 25 clockwise pick alternate numbers.. 
Our 1st pattern from these numbers  40 , 45 , 25 , 40 , 30, 35 , 35 , ? will be 25, 30 , 35 , 40 and these numbers are written with an increment of 5 . It means that  the difference/increment between two consecutive numbers is same 
25 + 5 = 30
30 + 5 = 35
35 + 5 = 40

After eliminating above numbers remaining numbers are 45 , 40 , 35 , ? . 
Now note the difference between  every two consecutive numbers is 5. 
45 - 40 = 5
40 - 35 = 5
So 35 - ? = 5
⇒ -? = 5 - 35
⇒ -? = -30
⇒? = 30
Therefore option (1) is correct option . 
Ten Most Important Reasoning questions with answers for competitive exams of circles, box and other type with solutions discussed in this post . These types of problems are very helpful for cracking competitive exams like ssc cgl, ssc chsl and various Bank exams and many other similar exams .



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10 Most Important Reasoning Problems of Circles with Solutions, How to Solve Reasoning Circle Problems

Ten Most  Important Reasoning problems of circles with solutions. These types of problems are very helpful for cracking competitive exams like ssc cgl, ssc chsl and various Bank exams and many other similar exams .

Problem # 1


This circle consists of four quadrants and every  quadrant consists of three numbers , And every quadrant have two numbers in outer part and  1 number  is in the inner part . To find the value of question mark  "?"  , we shall use two numbers which are in the outer part to calculate the value of the number which is in the inner part of every quadrant . 

1st Quadrant 

Square of 8 × Taking Power 4 of  3  =  64 × 81  = 5184

Now add all these digits  5 + 1 + 8 + 4 = 18

Now reversing the order of these digits obtained in  previous step

18   <----> 81 The number in the inner part

2nd Quadrant

Square of 5 ×  Taking Power 4 of  7  =  25 ×  2401  = 60025

Now add all these digits  6 + 0 + 0 + 2  + 5  = 13

Now reversing the order of these digits obtained in  previous step

13   <---->  31 The number in the inner part


4th Quadrant

Square of 8 × Taking Power 4 of  9  =  64 × 6561  = 419904

Now add all these digits  4 + 1 + 9 + 9 + 0 + 4 = 27

Now reversing the order of these digits obtained in  previous step

27   <----> 72 The number in the inner part

3rd Quadrant

Square of 7 × Taking Power 4 of  7  =  49 × 2401 = 117649

Now add all these digits  1 + 1 + 7 + 6 + 4 + 9  = 28

Now reversing the order of these digits obtained in  previous step

28   <----> 82 The number in the inner part

Option (1) is correct option.


Problem # 2


This  circle has been divided into eight sectors. Every sector  consist of three numbers. To solve this problem multiply both the numbers  in any sector which are in the outer part and then add 1 to it ,the result so obtained is written in the inner part of the sector which is exactly opposite to this sector .Continuing in this manner  we shall have  all the numbers placed accordingly. .  Starting from the sector immediately to the right of question mark. 

( 2 × 4 ) + 1  =  9  ( In the inner part of 5th sector ) 

( 3 × 7 ) + 1 =  22  ( In the inner part of 6th sector )

( 1 × 6 ) + 1 =  7  ( In the inner part of  7th sector )

 ( 5 × 2 ) + 1  = 11  ( In the inner part of 8th sector )

( 3 × 4 ) + 1  =  13  ( In the inner part of 1st sector )

( 2 × 9 ) + 1  =  19  ( In the inner part of 2nd sector )

( 2 × 2 ) + 1  =  5  ( In the inner part of 3rd sector )

 ( ? × 3 ) + 1  =  25  ( In the inner part of 4th sector )

Now we have to find the value of  "?" like this 

( ? × 3 ) + 1  =  25

? × 3  =  25 - 1

? × 3  =  24

? = 24/3

? = 8 

Hence option (2)  is correct option


Problem # 3


Sq (3 + 4 ) + Sq (4 ) = Sq 7 + Sq 4 = 49 + 16 = 65 (The number is in circle opposite to 3 and 4)

Sq (7 + 2 ) + Sq (7 ) = Sq 9 + Sq 7 = 81 + 49 = 130 (The number is in circle opposite to 7 and 2)

 Sq (6 + 9 ) + Sq (9 ) = Sq 15 + Sq 9 =  225 + 81 = 306  (The number is in circle opposite to 6 and 9)

Sq (5 + 8 ) + Sq (8 ) = Sq 13 + Sq 8 = 169 + 64 = 233 (The number is in circle opposite to 5 and 8)
Hence option (4) is right answer.

Problem # 4


All the Numbers except one in both the circles are written in same pattern . If we add all the three digits of any number in both the circles then we shall get same result except in one number in both the circles. And that different result will be the odd one out in this problem.

In 1st circle

The sum of digits of number 319 = 3 + 1 +  9  = 13  ( Odd one out)  
The sum of digits of number 441 = 4 + 4 + 1 = 9
The sum of digits of number 243 = 2 + 4 + 3 = 9
The sum of digits of number 612 =  6 + 1 + 2 = 9
The sum of digits of number 342 = 3 + 4 + 2 =  9  

In 2nd circle

The sum of digits of number 322 =  3 + 2 + 2 = 7
The sum of digits of number 313 =  3 + 1 + 3 = 7
The sum of digits of number 142 = 1 + 4 + 2 = 7 
The sum of digits of number 304 = 3 + 0 + 4 = 7
The sum of digits of number 349 = 3+ 4 + 9 = 16 ( Odd one out)
So from both these circles two results 13 and 16 of numbers 319 and 349  are different from other.
Hence option (4) is right answer.

Problem # 5



Since this circle consists of four quadrants and every quadrant consists of three numbers ,two numbers are in outer part and one number is in the inner part  ( triangle) . The  number which is in the inner part (triangle) can be found  using both the numbers which  are in the outer part of the same quadrant by using the following formula
(Difference of both  numbers  in the outer part) - ( difference of  both the digits in the triangular parts ) = 1 

1st Quadrants 

(12 - 8)  - ( 6- 3 ) = 4 - 3 = 1

2nd Quadrants 

(4 - 3)  - ( 1 - 1  ) = 1 - 0 = 1

3rd Quadrants 

(9 - 6)  - ( 6- 4 ) = 3 - 2 = 1

4th Quadrants 

(12 - 10 )  - ( ? - ? ) = 2 - 1 = 1
If we put 43 in place of question mark only then difference of its digits  will be equal to 1 and in other cases the difference of digits is not equal to 1 which is necessarily required . 
So the correct option will be  (1) . 

 

 Problem # 6


All the Numbers except one in both the circles are written in same pattern . If we add all the three digits of any number in both the circles then we shall get same result except in one number in both the circles. And that different result will be the odd one out in this problem.

In 1st circle

The sum of digits of number 245 = 2 + 4 + 5  = 11
The sum of digits of number 443 = 4 + 4 + 3 = 11
The sum of digits of number 209 = 2 + 0 + 9 = 11
The sum of digits of number 902 = 9 + 0 + 2 = 11 
The sum of digits of number 342 = 3 + 4 + 2 =  9  ( Odd one out)

In 2nd circle

The sum of digits of number 307 =  3+ 0 + 7 = 10
The sum of digits of number 343 = 3 + 4 + 3 = 10
The sum of digits of number 642 = 6 + 4 + 2 = 12( Odd one out)
The sum of digits of number 703 = 7 + 0 + 3 = 10 
The sum of digits of number 118 = 1 + 1 + 8 = 10 
So from both these circles two results 9 and 12 of numbers 342 and 642  are different from other.
Hence option (4) is right answer.

Problem # 7



Starting clockwise take the difference of two consective numbers . 
3 - 1 = 2
6 - 3 = 3
11 - 6 = 5
18 - 11 = 7. 
Since all these resultant numbers are prime numbers so next prime number should be 11
Therefore  ? - 18 = 11
This implies ? = 29.
Hence option (D) is correct option. 

      Problem # 8



Here 1st circle consist of four parts and if we divide sum of all the digits in its outer part with number of parts then result will be the middle number.
( 6 + 2 + 9 + 7  )/4 =  24/4 = 6 ( Middle number). 

2nd circle consist of five parts and if we divide sum of all the digits in its outer part with number of parts then result will be the middle number. 
( 7 + 2 + 5 + 8 + 3 )/5 = 25/5 =5 ( Middle number). 

3rd circle consist of six parts and if we divide sum of all the digits in its outer part with number of parts then result will be  the middle number. 
(  8 + 6 + 7 + 5 + 7 + 9 )/6 = 42/6 =7 ( Middle number). 
Hence option (3) is correct answer



Problem # 9


Starting clockwise from the question mark i. e.  from 3 . These numbers 3, 5 ,7 ,11 ,13 are written in a pattern of prime number series. So so after 13  the next prime number will be 17. But 17 is not in the  given option. Hence this series will start from the prime number  prior to 3 . The number prior to 3 is 2 . Because smallest prime number is 2.
Hence pattern will be 2 , 3 , 5, 7 , 11, 13.
Therefore correct option will be (D) . 

Problem # 10



This Circle consist of four quadrant and every quadrant consists of three numbers. Here the number in the outer part of every sector contribute to the number which is in the inner part of that sector . Starting from the sector which is below the question mark , out of these two numbers written in Outer part , the the number which is greater/maximum of these two is written in the inner part. 

In 1st Sector  

Max (14,17 ) = 17 , Here greater of the two numbers will be selected

In 2nd Sector  

Max (13,18) = 18, Here greater of the two numbers will be selected


In 3rd Sector  

Max (5 , 3 ) = 5, Here greater of the two numbers will be selected

In 4th Sector

  
Max ( 4, 8 ) = 8, Here greater of the two numbers will be selected

So option (2)  will be correct option



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