15 Most Important Questions of Reasoning in Circle Problems

 

15 Most Important Figure Problems for Reasoning  Various Exams

Most important problems of reasoning which includes circle problems  for competitive exams like SSC CGL ,SSC CHSL and RRB NTPC etc have been included in this post.

Problem # 1



Add all the numbers in every circle except middle number then divide it with 3 to get middle number.
{ 13 + 10 + 7 + 9  } / 3 = 39 / 3 = 13 ( Middle number in 1st picture)
{ 27 + 23 + 5 + 8  } / 3 = 63 / 3 = 21 ( Middle number in 2nd picture)
{ 35 + 44 + 9 + 8  } / 3 = 96 / 3 = 32 ( Middle number in 3rd picture)
Hence option (1) is right answer.

Problem # 2


Multiply both the numbers in the second line then divide it with difference of the numbers in the 1st line of every figure. In last step add "7" to it to get the number in the middle of every figure.
{ ( 9 * 6 ) / ( 13 -10 ) } + 7 = ( 54 / 3 )  + 7 =  18 + 7 = 25 ( Middle number in 1st picture )
{ ( 8 * 3 ) / ( 27 - 23) } + 7 = ( 24 / 4 )  + 7 =  6 + 7 =  13 ( Middle number in 2nd picture )
{ ( 11 * 9 ) / ( 44 - 35 ) } + 7 = ( 99 / 9 )  + 7 =  11 + 7 = 18 ( Middle number in 3rd picture ).
Hence option (4) is right answer.

Problem # 3

This figure consist of four sectors and every sector consists of three numbers. Every number in the inner part of each sector is H C F  ( Highest Common Factor ) of two other numbers, which are in outer part of  each sector.
   HCF  of 12 and  27 =  3
 HCF  of 16 and 24 = 8
 HCF  of 2   and 3 =  1 
                                                        
Similarly HCF of 4 and 8  = 4  ( The value of question mark )
Hence option (1) is right answer.

Problem # 4



This figure consist of four sectors and every sector consists of three numbers. Every number in the inner part of each sector is HCF ( Highest Common Factor ) of two other numbers which are in outer part of each sector.
   H C F of 12 and 15 = 3 
  H C F of   6 and 4 = 2 
H C F of 3 and  2 = 1 
                           H C F of 12 and 6 = 6 ( The value of question mark)
Hence option (4) is right answer.

Problem # 5

This figure consist of four sectors and every sector consists of three numbers. Every number in  the inner part  is LCM ( Lowest Common Multiple ) of two other numbers which are in outer part of each sector.

LCM of 12 and 15 = 60 
LCM  of  9 and 6 = 18
LCM  of  3 and 2 = 6 
LCM of 8 and 6 = 24  (The value of question mark)
Hence option (4) is right answer.

                         Problem # 6

All the Numbers except one in both the circles are written in same pattern . If we multiply 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 product of digits of number 262 = 2 * 6 * 2 = 24
The product of digits of number 226 = 2 * 2 * 6 = 24
The product of digits of number 423 = 4 * 2 * 3 = 24
The product of digits of number 333 = 3 * 3 * 3 = 27 ( Odd one out)
The product of digits of number 342 = 3 * 4 * 2 = 24
In 2nd circle
The product of digits of number 562 = 5 * 6 * 2 = 60
The product of digits of number 345 = 3 * 4 * 5 = 60
The product of digits of number 543 = 5 * 4 * 3 = 60
The product of digits of number 256 = 2 * 5 * 6 = 60 
The product of digits of number 452 = 4 * 5 * 2 = 40 ( Odd one out)
So from both these circles two results 27 and 40 of numbers 333 and 452 are different from other.
Hence option (3) is right answer.

Problem # 7

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 163 = 1+ 6 + 3 = 10
The sum of digits of number 145 = 1 + 4 + 5 = 10
The sum of digits of number 334 = 3 + 3 + 4 = 10
The sum of digits of number 441 = 4 + 4 + 1 = 9  ( Odd one out)
The sum of digits of number 343 = 3 + 4 + 3  = 10
In 2nd circle
The sum of digits of number 414 =  4 + 1 + 4 =  9
The sum of digits of number 333 = 3 +  3 + 3 =  9
The sum of digits of number 444 = 4 + 4  + 4 =  12  ( Odd one out). 
The sum of digits of number 504 = 5 + 0 + 4 =  9 
The sum of digits of number 108 = 1 + 0 + 8 = 9 
So from both these circles two results 9 and 12 of numbers 441 and 444 are different from other.
Hence option (2) is correct answer.

 

 Problem # 8


In this circle all the numbers are written in a line and the sum of each line is 25. Starting from the line which is right side of ? ( Question mark),
 4 + 11 + 3 + 7 = 25
10 + 1 + 9 + 5 = 25
11 + 6 + 2 + 6 = 25
? + 5 + 5 + 8  = 25
⇒   ? + 18 = 25 
? = 25 - 18 = 7

Problem # 9



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.
( 3 + 8 + 7 + 2  )/4 =  20/4 = 5 ( 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. 
( 6 + 4 + 8 + 5 + 7 )/5 = 30/5 =6 ( 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. 
(  9 + 7 + 8 + 9 + 7 + 8   )/6 = 48/6 =8 ( Middle number)
Hence option (2) is correct answer

Problem # 10

This figure consist of four sectors and every sector consists of three numbers. Every number in  the inner part  is cube of difference of two other numbers which are in outer part of each sector.
Cube of ( 8 - 5 )  = cube of 3 = 27  
Cube of  ( 23 - 19 ) =  cube of 4 = 64
Cube of ( 3 - 2 ) =  cube of   1 = 1
Cube of  ( 26 - 24 )  =  cube of 2 = 8 ( The value of question mark)
Hence option (4) is correct answer

Problem # 11

This figure consist of four sectors and every sector consists of three numbers. Every number in  the inner part  is  Four times of square of difference of two other numbers which are in outer part of each sector.
× Square of ( 11 - 8 )  =  4 × ( square of 3 )  =  4 × 9 = 36  
× Square of ( 5 - 5 )  =  4 × ( square of 0 )  =  4 ×  =  0 
× Square of ( 7 - 3 )  =  4 × ( square of 4 )  =  4 × 16 = 64  
× Square of ( 8 - 2 )  =  4 × ( square of 6 )  =  4 × 36 = 144 ( The value of question mark)
Hence option (1) is correct answer

Problem # 12

This figure consist of four sectors and every sector consists of three numbers. Every number in  the inner part  is cube of difference of two other numbers which are in outer part of each sector.
Cube of (11 - 8 )  = cube of 3 = 27  
Cube of  ( 5 - 4 ) =  cube of 1 = 1
Cube of ( 7 - 3 ) =  cube of  4 = 64
Cube of  ( 8- 2 )  =  cube of 6 = 216 ( The value of question mark)
Hence option (1) is correct answer


Problem # 13


This figure consist of four sectors and every sector consists of three numbers. Every number in  the inner part  is five times of  product of two other numbers which are in outer part of each sector.
( 6 × 3 ) × 5 = 18 × 5 = 90
( 2 × 3 ) × 5 =  6  × 5 = 30
( 4 × 2 ) × 5 =  8  × 5 = 40
( 5 × 4 ) × 5 = 20 × 5 = 100 ( The value of question marks ) . 
Hence option (1) is right answer.

Problem # 14


This figure consist of four sectors and every sector consists of three numbers. Every number in  the inner part  is the sum  of  two other numbers which are in outer part of opposite sector to these numbers.
 24 + 11 = 35 ( The number opposite to both 24 and 11 ) . 
13 + 26 = 39 ( The number opposite to both 246and 13 ) . 
9  +  25 = 34 ( The number opposite to both 9 and 25 ) . 
7 + ? = 35 ( The number opposite to both 7 and ? ) . 
So if we put ? = 28 then we shall have total equal to 35.
Hence option (2) is right answer

Problem # 15


All the Numbers except one in both the circles are written in same pattern . If we multiply 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 product of digits of number 145 = 1 *  4 *  5  = 20
The product of digits of number 451 = 4 * 5 * 1 =  20
The product of digits of number 225  = 2 * 2 * 5 = 20
The product of digits of number 541 = 5 * 4 * 1  = 20 
The product of digits of number 255 = 2 * 5 * 5 = 50 (Odd one out)

In 2nd circle
The product of digits of number 414 = 4 * 1 * 4  = 16
The product of digits of number 444 = 4 *  4  * 4  = 64  (Odd one out)
The product of digits of number 224 = 2 * 2  * 4  = 16
The product of digits of number 441 = 4  * 4 * 1  = 16 
The product of digits of number 128 = 1 * 2 * 8  =  16  

So from both these circles two results 50 and 64 of numbers 255 and 444 are different from other.
Hence option (3) is right answer.

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