Maths (41) reasoning (36) Home (13) integration (6)

# Ten Figure problems in reasoning with answers for competitive exams

## Problem #1 This reasoning problem consists of three figures and every figure have five number associated to it . Four numbers are at the corner of each figure and one number is at the centre of the figure. Look at last figure ,it have ? in its centre . So the solution of this problem is to find the value of question mark using four numbers associated to it .
But the biggest problem is how to utilised these four numbers to get the value of this question mark?
Now watch carefully the 1st two figures . since these figures have some values of middle numbers.
Now we have to find or search the  formula for these four numbers in each figure to utilised them in any possible way to get middle or central number.
The same formula will be applicable to third figure to find out the value of question mark.
Formula :- The middle Number in each figure is one tenth of product of remaining numbers.
Solution:-
( 4 × 5 × 7 × 6 ) ÷ 10 = 840 ÷ 10 = 84 ( Middle number in 1st figure).
(2 × 8 × 4 × 5 ) ÷ 10 = 320 ÷ 10 = 32 ( Middle number in 2nd figure).
(5 × 6 × 9 × 2 )÷ 10 = 540 ÷ 10 = 54 ( Middle number in 3rd figure).
Option (1) 54 is correct option

## Problem #2 This reasoning problem also consists of three figures and every figure have five number associated to it . Four numbers are at the corner of each figure and one number is at the centre of the figure. Look at last figure ,it have ? in its centre . So the solution of this problem is to find the value of question mark using four numbers associated to it.
But the main problem is how to use these four numbers to get the value of this question mark?
Now watch carefully the 1st two figures . since these figures have some values of middle numbers.
Now we have to find or search the  formula for these four numbers in each figure to utilised them in any possible way to get middle or central number.
The same formula will be applicable to third figure to find out the value of question mark.
Formula:-
:- The middle Number in each figure is two less than the sum of remaining numbers.
Solution:-
(4 + 5 + 7 + 6 ) - 2 = 22 - 2 = 20 ( Middle number in 1st figure).
(2 + 8 + 4 + 7 ) - 2 = 21 - 2 = 19 ( Middle number in 2nd figure).
(5 + 6 + 9 + 8 ) - 2 = 28 - 2 = 26 ( Middle number in 3rd figure),
Option (4) 26 is correct option.

## Problem #3

This reasoning problem also have three figures and every figure have five number attached to it . Four numbers are at the corner of each figure and one number is at the middle of the same figure.             Since last figure have question mark in its centre . So the solution of this problem is to find the value of question mark using four numbers associated to it .
But the biggest problem is how to utilised these four numbers to get the value of this question mark?
Now watch carefully the 1st two figures . since these figures have some values of middle numbers.
Now we have to find or search the  formula for these four numbers in each figure to utilised them in any possible way to get middle or central number.
The same formula will be applicable to third figure to find out the value of question mark.
Formula:- [{Left number × Top most number } + Right number ] - bottom number.
Solution:-
{(4 × 5) + 7 }- 20 = ( 20 + 7 ) - 20 = 27 - 20 = 7 ( Middle number in 1st figure) .
{(2 × 8 ) + 4} - 12 = ( 16 + 4 ) - 12 = 20 - 12 = 8 ( Middle number in 2nd figure).
{(4 × 12 ) + 12} - 51 = ( 48 + 12 ) - 51 = 60 - 51 = 9 ( Middle number in 3rd figure).
Option (2)9 is correct option.

## Problem #4

This reasoning problem also have three figures and every figure have five number attached to it . Four numbers are at the corner of each figure and one number is at the middle of the same figure.
Since 2nd figure have question mark in its centre . So the solution of this problem is to find the value of question mark using four numbers associated to it .
But the biggest problem is how to utilised these four numbers to get the value of this question mark?
Now watch carefully the 1st and 3rd figures . since these figures have some values of middle numbers.
Now we have to find or search the  formula for these four numbers in each figure to utilised them in any possible way to get middle or central number.
The same formula will be applicable to 2nd figure to find out the value of question mark.
Formula:-[{Left number × Top most number } + Right number ] - bottom number.
Solution:-
{(4 × 5 ) + 7 } - 16 = ( 20 + 7 ) - 16 = 27 - 16 = 11 ( Middle number in 1st figure).
{(4 × 12 ) + 1} - 33 = ( 48 + 1 ) - 33 = 49 - 33 = 16 ( Middle number in 3rd figure) .
{(2 × 8 ) + 3} - 12 = ( 16 + 3 ) - 12 = 19 - 12 = 7 ( Middle number in 2nd figure) . The value of question mark.
Option (4)7 is correct option.

## Problem #5

This reasoning problem also have three figures and every figure have five number attached to it . Four numbers are at the corner of each figure and one number is at the middle of the same figure.             Since last figure have question mark in its centre . So the solution of this problem is to find the value of question mark using four numbers associated to it .
But the biggest problem is how to utilised these four numbers to get the value of this question mark?
Now watch carefully the 1st two figures . since these figures have some values of middle numbers.
Now we have to find or search the  formula for these four numbers in each figure to utilised them in any possible way to get middle or central number.
The same formula will be applicable to third figure to find out the value of question mark.
Formula:-   Add 1 to all the numbers in upper rows of each figure  to multiply the number opposite to it.
Solution:-
( 7 + 1) × 5 = ( 9 + 1) × 5 = 40 (Middle number in 1st figure )
( 17 + 1) × 3 = ( 8 + 1) × 6 = 54 (Middle number in 2nd figure )
( 10 + 1) × 6 = ( 21 + 1) × 3 = 66 (Middle number in 3rd figure ).
Option (4)66  is correct option

## Problem #6

This reasoning problem also have three figures and every figure have five number attached to it . Four numbers are at the corner of each figure and one number is at the middle of the same figure. Since last figure have question mark in its centre . So the solution of this problem is to find the value of question mark using four numbers associated to it .
Now we have to find or search the  formula for these four numbers in each figure to utilised them in any possible way to get middle or central number.
The same formula will be applicable to third figure to find out the value of question mark.
Formula:-   Add 1 to all the numbers of each figure  to multiply the number opposite to it.
Solution:-
( 9 +1  ) × ( 3 + 1 ) = ( 9 + 1 ) × ( 3 + 1 ) =  10  × 4  = 40 ( Middle number in 1st figure )
( 26 +1 ) × ( 1 + 1 ) = ( 8 + 1 ) × ( 5 + 1 ) = 27 × 2 = 40 ( Middle number in 2nd figure ).
15 + 1  ) × ( 2 + 1 ) = ( 3 + 1 ) × ( 11 + 1 ) =  16  × 3 = 48 ( Middle number in 3rd figure).
Option (3)48 is correct option

## Problem #7

This reasoning problem also have three figures and every figure have five number attached to it . Four numbers are at the corner of each figure and one number is at the middle of the same figure.             Since last figure have question mark in its centre . So the solution of this problem is to find the value of question mark using four numbers associated to it .
Now watch carefully the 1st two figures . since these figures have some values of middle numbers.
Now we have to find or search the  formula for these four numbers in each figure to utilised them in any possible way to get middle or central number.
The same formula will be applicable to third figure to find out the value of question mark.
Formula:-  Product of both numbers in upper lines - Product of both numbers in lower lines   ⇔ Reverse order of both digits to get Middle number
Solution:-
( 8  × 6 ) - ( 3 × 4 )  = 48 - 12 =  36  ⇔ 63
( 7  × 6 ) - ( 5 × 6 )  = 42 - 30 =  12  ⇔ 21
( 5 × 7 ) - ( 9 × 2 ) = 35 - 18 = 17 ⇔ 71
Option (1)71 is correct option

## Problem #8

This problem consists of two figures . Each figure have three numbers. In 1st figure a number in the last row have been written using other two numbers given in same figure with the help of any mathematical operation. This mathematical operation may be addition, subtraction,multiplication, division, combinations of any two operations or any other two or three operations.
Formula:- Number in Lower row = { Number in upper row - Number in middle row } × 2.
Twice the difference of two numbers in upper and middle row is equal to number in lower row.
(486 - 361 ) × 2 =  125 × 2 = 250
(395 - 279 ) × 2 =  116  × 2 = 232
Option (3)232 is correct option

## Problem #9

This problem consists of two figures . Each figure have three numbers. In 1st figure a number in the last row have been written using other two numbers given in same figure with the help of any mathematical operation. This mathematical operation may be addition, subtraction,multiplication, division, combinations of any two operations or any other two or three operations.
Formula:- Number in Lower row = { Number in middle row - Number in upper row } × 6.
Six times the difference of two numbers in middle and upper row is equal to number in lower row.
( 555 - 444 ) × 6 = 111 × 6 = 666
( 765 - 543 ) × 6 = 222 × 6 = 1332
Option (4)1332 is correct option

## Problem #10

This problem also consists of two figures . Each figure have three numbers. In 1st figure given number in the last row have been written using other two numbers given in same figure with the help of any mathematical operation. This mathematical operation may be addition, subtraction, multiplication, division, combinations of any two operations or any other two or three operations.
Formula:- Number in Lower row = Reversing the order of digits of the number of { Number in upper row - Number in middle row }.
Reverse the the digits of number obtained for difference of two numbers in upper and middle row is equal to number in lower row.
( 597 - 276 )  = 291 ⇔  192 (After reversing the digits of 291)
( 683 - 436 )  = 147 ⇔  741 (After reversing the digits of 741)
Option (3)741 is correct option

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

Share: