Maths Reasoning questions with answers for competitive exams

Ten most important reasoning questions with answers for competitive exams, maths reasoning questions, reasoning questions with answers for bank exams, Reasoning tricks for competitive exams have been discussed in this article for upcoming competitive exams. 

Ten most important maths reasoning questions for competitive exams.

Question #1

Reasoning questions 

This box problem consists of four rows and five columns. To find the value of question marks in fifth column of fourth row we have to combine two columns at a time and then take the difference of combination two other rows. 

Formula :-

 The difference of product of 1st and 4th column and sum of 2nd and 3rd column. 

(Number in 1st column × Number in 4th column ) - (Number in 2nd column + Number in 3rd column) = Number in 5th column

( 4 × 2 ) - ( 5 + 3 ) = 8 - 8 = 0 (1st row 4th column) 

( 7 × 4 ) - ( 3 + 4 ) = 28 - 7 = 21(2nd row 4th column) 

( 6 × 5 ) - ( 4 + 4 ) = 30 - 8 = 22(3rd row 4th column) 

( 9 × 5 ) - ( 6 + 5 ) = 45 - 11 =  34 = ? (The value of question mark) 

Option (2)34 is correct option.

 

Question #2

Since the question mark is in the middle of 3rd figure. So the value of question mark will be calculated with the help of remaining four numbers around this figure in the same way, the middle numbers in 1st and 2nd figure can be calculated with the help of remaining four numbers around each figure. This question mark value can be found by two methods. 

1st Method

( 52 - 41 ) + 5 = 11 + 5 = 16 ( Middle number in 1st figure ) 

( 92 - 85 ) + 5 = 7 + 5 = 12 ( Middle number in 2nd figure ) 

( 126 -  113 ) + 5 = 13 + 5 = 18 ( Middle number in 3rd figure ) 

Option (3)18 is correct option

2nd Method

[(4 + 2) - (5+ 1) + 16]= (6 - 6) + 16 = 0 + 16 = 16 (Middle number in 1st figure ) 

[(8 + 2) - (9 + 5) + 16]= (10 - 14) + 16 = -4 + 16 = 12 (Middle number in 2nd figure ) 

[(11+ 6 ) - (12+ 3) + 16]= (17 - 15) + 16 = 2 + 16 = 18 (Middle number in 3rd figure ) 

Option (3)18 is correct option.

Question #3

This box problem consists of four rows and three columns. To find the value of question marks in 2nd column of fourth row, we have to combine three rows at the same time. 

Formula :- 

The sum of cube of Numbers in 1st, 2nd and 3th rows is equal to Number in 4th row. 

( Cube of Number in 1st row   ) + ( Cube of Number in 2nd row  ) (Cube of Number in 3rd row )  = Number in 4th row

2³ + 1³ + 3³ = 8 + 1 + 27 = 36 (4th row 1st column) 

0³ + 4³ + 3³ = 0 + 64 + 27 = 91 (4th row 3rd column) 

4³ + 2³ + 1³ = 64 + 8 + 1 = 73 = ? (4th row 2nd column) 

Option (D)73  is correct option.

Question #4

This box problem also consists of four rows and three columns. To find the value of question marks in 4th row of 3rd column we have to combine three rows at the same time. 

Formula :- 

Sum of Product of hundred times of number in 2nd row and product of numbers in 1st and 3th rows is equal to Number in 4th row. 

100 × ( Number in 2nd row ) + ( Number in 1st row  ) ×  ( Number in 3rd row )  = Number in 4th row

(5 × 100) + ( 7 × 10 ) = 500 + 70 =  570 (4th row 1st column) 

(3 × 100) + ( 8 × 11 ) = 300 + 88 = 388 (4th row 2nd column) 

(1 × 100) + ( 2 × 9 ) = 100 + 18 = 118 (The value of question mark) 

Option (B)118 is correct option.

Question #5

Starting from 1 and moving in such a way that all the numbers must be written in increasing order as written in the following line as 

1 , 5 , 13  ,29  , 61 , 125 , ? 

Now we have to think the formula for the numbers , which is 3 more than the twice of previous number. 

Formula :-

Any number = ( 2 × previous number ) + 3.

(1 × 2 ) + 3 = 2 + 3 = 5

(5 × 2 ) + 3 = 10 + 3 = 13

(13 × 2 ) + 3 = 26 + 3 = 29

(29 × 2 ) + 3 = 58 + 3 = 61

(61 × 2 ) + 3 = 122 + 3 = 125

(125 × 2 ) + 3 = 250 + 3 = 253 = ? ( The value of question mark ) . 

Option (3)253  is correct option.

Question #6

Starting from 1 and moving in such a way that all the numbers must be written in increasing order as written in the following line as 

1 , 3 , 9 ,31 , 129 , 651 , ? 

Formula :-

Any number = ( 2 × previous number ) + 3.

(1 × 1 ) + 2 = 1 + 2 = 3

(3 × 2 ) + 3 = 6 + 3 = 9

(9 × 3 ) + 4 = 27 + 4 = 31

(31 × 4 ) + 5 = 124 + 5 = 129

(129 × 5 ) + 6 = 645 + 6 = 651

(651 × 6 ) + 7 = 3906 + 7 = 3913 = ? 

Option (1)3913 is correct option.

Question #7

This box problem also consists of four rows and three columns. To find the value of question marks in 4th row of 3rd column we have to combine three rows at the same time. 

Formula :-

 The  product of Numbers in 1st, 2nd and 3th rows is equal to Number in 4th row. 

2 × 4 × 5 = 40 (4th row 1st column) 

3 × 7 × 2 = 42 (4th row 2nd column) 

4 × 6 × 9 = 216 ( The value of question mark)

Option (B)216 is correct option,

Question #8

This box problem consists of three rows and three columns. To find the value of question marks in 3rd row of 3rd column we have to combine 1st two rows at the same time with the help of any or combination of mathematical operations. 

Formula :-

 The  square of half of the sum of numbers in 1st and 2nd rows in any particular column is equal to Number in 3rd row. 

[(25 + 15) ÷ 2 ]² = [ 40 ÷ 2 ]² =  [ 20 ]² = 400

[(16 + 10) ÷ 2 ]² = [ 16 ÷ 2 ]² = [ 13 ]² = 169

[(40 + 20) ÷ 2 ]² = [ 60 ÷ 2 ]² =  [ 30 ]² = 900

Option (A)900 is correct option.

Question #9

There are three figures in this problem. Every figure consists of three numbers one in the top of the figure and two numbers are in the bottom line. In every figure the number in the top of the figure is made up of remaining two numbers which are in the bottom line. The number in the top of the figure can be calculated by using any mathematical operations with the help of remaining two numbers. The mathematical operation we use to calculate the number in the 1st figure must be same in all the remaining two figures. 

Formula :-

Difference of squares of numbers in the two branches of given figure is equal to number in the top of the same figure. 

a² - b² = c (Number to be calculated) 

1st Figure

16² - 7² = 256 - 49 = 207

2nd Figure

12² - 8² = 144 - 64 = 80

3rd Figure

25² - 21² = 625 - 441 = 184 (The value of question mark) 

Option (2)184 is correct option.

 

Question #10

This maths reasoning questions consists of three figures and every figure have four numbers associated to it.  

          Two numbers are on the upper line of each box and two number are at the bottom line of each box.  Look at last figure , it have ? in its 3rd figure . So the solution of this problem is to find the value of question mark using three numbers associated to it . 

          But the main problem is how to utilised  these three numbers to get the value of question mark?

          Now watch carefully the 1st two figures . Since these figures have some big values of numbers in one box . 

          Now we have to find or search the  formula for these four numbers in 1st two figures to utilised them in any possible way to get number in that box . 

         The same formula will be applicable to third figure to find out the value of question mark.

1st Box 

Product of numbers in three small boxes is equal to number in 4th box 

4 × 3 × 2 = 24 

2nd Box 

Product of numbers in three small boxes is equal to number in 4th box 

(-2) × 2 × (-1) =  4

3rd Box 

Product of numbers in three small boxes is equal to number in 4th box 

0 × 6 × 5 = 0 ( The value of ?  ) 

Option (4)0  is correct option

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  Ten Most Important maths  Reasoning questions with answers for competitive exams in box and other type with solutions have been 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. please feel free to comment your opinions. 

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Ten most important Missing number series questions and answers, Number Series Questions for SBI Clerk ,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

This problem is a series problem where we have to find the value of question mark using all its previous terms by analysing the trend of all its terms whether they are in increasing order or decreasing order or in any other format.

Formula :- 

Every term is the product of its two preceding terms.

1st number = 3
2nd number = 3

3rd number = (1st number )×( 2nd number ) = 3 × 3 = 9

4th number = ( 2nd number )×( 3rd number ) = 3 × 9 = 27

5th number = ( 3rd number )×( 4th number ) = 9 × 27 = 243

6th number = ( 4th number )×( 5th number ) = 243 × 27 = 6561

Option (4)6561 is correct option 

Problem #2

This problem is a series problem where we have to find the value of question mark using all its previous terms means by analysing the trend of all its terms whether they are in increasing order or decreasing order. This reasoning problem can be solved by two method . we shall discuss both these methods one by one.

Method #1 

35 -15 = 20 (Here difference of 1st and 2nd term is 20)

63 - 35 = 28 (Here difference of 2nd and 3rd term is 20 + 8 = 28, i.e. 8 more than previous difference)

99 - 63 = 36 (Here difference of  3rd and 4th term is 28 + 8 = 36, i.e. 8 more than previous difference)

143 - 99 = 44 (Here difference of  4th and  5th term is 36 + 8 = 44, i.e. 8 more than previous difference)

? - 143 = 52 (Here difference of  5th and  6th term must be  44 + 8 = 52, i.e. 8 more than previous difference)

⇒  ? = 52 + 143 = 195  

Option (2)195 is correct option 

Method #2

All these terms are one less than perfect squares of even numbers. 

4² - 1 = 16 -1 = 15 

6² - 1 = 36 -1 = 35 

8² - 1 = 64 -1 = 63 

10² - 1 = 100 -1 = 99

12² - 1 = 144 -1 = 143

14² - 1 = 196 -1 = 195 

Option (2)195 is correct option

Problem #3

This reasoning problem is a series problem where we have to find the value of question mark using all its previous terms means by analysing the trend of all its terms whether they are in increasing order or decreasing order. The value of question mark can be found using the difference of two of its previous terms. And after analysing  the difference so obtained we can find the value of question mark.

13 - 6 = 7

27 - 13 = 14

55 - 27 = 28

111 - 55 = 56

?  - 111 = 112

⇒ ? = 112 + 111

⇒ ? = 223

Option (3)223 is correct option

Problem #4

This reasoning problem is a series problem where we have to find the value of question mark using all its previous terms means by analysing the trend of all its terms whether they are in increasing order or decreasing order. 

1st number = 8

2nd number = (1st number  × 1 ) + 1 

( 8 × 1 ) + 1 = 8 + 1 = 9

3rd number = ( 2nd number × 2 ) + 2 

( 9 × 2 ) + 2 = 18 + 2 = 20

4th number = ( 3rd number × 3 ) + 3 

( 20 × 3 ) + 3 = 60 + 3 = 63

5th number = ( 4th number × 4 ) + 4

( 63 × 4 ) + 4 = 252 + 4 = 256

6th number = ( 5th number × 5 ) + 5

( 256 × 5 ) + 5 = 1280 + 5 = 1285

Option (2)1285 is correct option.

Problem #5

These numbers are in binary number system. So 1st of all convert these numbers to decimal number system. 

11(binary number system) = 3 (decimal number system) . 

100(binary number system) = 4 (decimal number system) 

111(binary number system) = 5  (decimal number system) 

Similarly 

1000(binary number system) = 6 (decimal number system) 

 Option (2)1000 is correct option

Problem #6

This reasoning problem is a series problem where we have to find the value of question mark using all its previous terms means by analysing the trend of all its terms whether they are in increasing order or decreasing order.

(9 × 1) - 2 = 9 - 2 = 7 ( 2nd Number )
(7 × 2) - 3 = 14 - 3 = 11 ( 3rd Number )
(11 × 3) - 4 = 33 - 4 = 29 ( 4th Number )
(29 × 4) - 5 = 116 - 5 = 111 ( 5th Number )
(111 × 5) - 6 = 555 - 6 = 549 ( 6th Number ) = value of question mark

Option (4)549 is correct option

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Problem #7

This reasoning problem is a series problem where we have to find the value of question mark using all its previous terms means by analysing the trend of all its terms whether they are in increasing order or decreasing order. 

57 - 56 = 1= 1²

56- 55 = 1 = 1³

55 - 51 = 4 = 2²

51 - 43 = 8 = 2³

43 - 34 = 9 = 3²

Similarly ? - 34 = 4² = 16

⇒? - 34 = 16

⇒? = 16 + 34

⇒? = 50

Option (2)50 is correct option

Problem #8

This reasoning problem is a series problem where we have to find the value of question mark using all its previous terms means by analysing the trend of all its terms whether they are in increasing order or decreasing order. The value of question mark can be found using the difference of two of its previous terms. And after analysing  the difference so obtained we can find the value of question mark.

336 - 224 = 112

224 - 168 = 56

168  - 140 = 28

140 - 126 = 14

Similarly continuing in the same pattern 

126 - ? = 7 

⇒-? = 7 - 126

⇒? = -7  + 126

⇒? = 119

Option (3)119 is correct option.

Problem #9

Formula :- Sum of both digits of each numbers are same except one.

Sum of both the digits of 30 ⇒ 3 + 0 = 3

Sum of both the digits of  27 ⇒ 2 + 7 = 9

Sum of both the digits of 36 ⇒ 3 + 6 = 9

Sum of both the digits of  45 ⇒ 4 + 5 = 9

Sum of both the digits of  72 ⇒ 7 + 2 = 9

All the numbers except 30 have have it's digits sum equal to 9. Only the number 30 have it's digits sum equal to 3 . So 30 is the odd number and it must be out. 

Option (2)30 is correct option

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Problem #10

Separating these given numbers to two series by picking odd number and even number position. 

1st series 

5 , 7 , 10 , 14 , 

Difference 2 , 3 , 4 , 5

2nd series

6 , 8 , 11 , ? 

Difference 2, 3, 4

Hence ? = 15

Option (3)15 is correct option.

Your Queries

(By Jai Singh Nayak)

Missing number in series 
1,  6,  26, _____ , 426

  Formula 

  Next Term =  (4 × Previous Term ) + 2.
  1st Term = 1
  2nd Term =  (4 × 1st Term ) + 2
  2nd Term =  (4 × 1 ) + 2
                     = 4 + 2
                     = 6
                     
  3rd Term =  (4 × 2nd Term ) + 2
  3rd Term =  (4 × 6 ) + 2
                   = 24 + 2
                   = 26
 4th Term =  (4 × 3rd Term ) + 2
 4th Term =  (4 × 26 ) + 2
                  = 104 + 2
                  = 106
 5th Term =  (4 × 4th  Term ) + 2
 5th Term =  (4 × 106 ) + 2
                  = 424 + 2
                  = 426
 6th Term =  (4 × 5th Term ) + 2
 6th Term =  (4 × 426 ) + 2
                  = 1704 + 2
                  = 1706
  7th Term =  (4 × 6th Term ) + 2
  7th Term =  (4 × 1706 ) + 2
                    = 6824 + 2
                    = 6826.

By MD Kaif

Complete the series

1, 3, 4, 8, 15 , 27, ?

Formula

To find any term after 3rd Term = Sum of its previous three terms . 

4th term = 1st term + 2nd term + 3rd term = 1 + 3 + 4 = 8 

5th term = 2nd term + 3rd term + 4th term = 3 + 4 + 8 = 15

6th term = 3rd term + 4th term + 5th term = 4 + 8 + 15 = 27

7th term = 4th term + 5th term + 6th term = 8 + 15 + 27 = 50 ( the value of question mark ).

By Shavnam Sharma

Complete the series

343, 729, 1331, 2197, ?  

  Formula 

  Any Term = (n)³ ,where n is odd number greater than equal to 7

  Or

  Any Term = (2n+1)³ ,where n is odd number greater than equal to 3.

That means every term has been expressed as the cube of some odd numbers.

  

  1st Term = 343 = 7³

  2nd Term = 729 = 9³

                     

  3rd Term = 1331 = 11³

   

 4th Term = 2197 = 13³

  

 5th Term = 15³ = 3375

 

 So the value of question mark = 3375

 Similarly if you want to find out the value of next terms then it will be

  

6th Term = 17³ = 4913

7th Term = 19³ = 6859

8th Term = 21³ = 9261

9th Term = 23³ = 12167

10th Term = 25³ = 15625

                                                       
Ten most important Missing number series questions and answers, Number Series Questions for SBI Clerk ,SBI PO with solution  for SSC GL , SSC CHSL , RRB NTPC and other competitive Exams were discussed in this post.  comment your valuable suggestions regarding this post and for further improvement.         

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Problem # 1

Exam Cracker

There are three circles in this reasoning problem and every circle have five numbers associated to it. Out of these five numbers four are placed around the circle and fifth is in the centre of the circle. In the 3rd circle the value of question mark will be calculated using all the four associated numbers using the same formula which have been used in the 1st and 2nd circle to calculate the value of middle number.

Formula :- 3 times the sum of four numbers around the circle

3 (4 + 3 + 2  + 1 ) = 3 × 10 = 30  (  middle number in 1st figure  ) 

3 ( 5 + 4  + 3 + 2  ) = 3 × 14 = 42  ( middle number in 2nd figure  ) 

3 ( 6 + 5 + 4 + 3 ) = 3 × 18 = 54  (middle number in 3rd figure) 

Option (1)54 is correct option

Problem # 2

Exam Cracker

There are three circles in this reasoning problem and every circle have five numbers associated to it. Out of these five numbers four are placed around the circle and fifth is in the centre of the circle. In the 3rd circle the value of question mark will be calculated using all the four associated numbers using the same formula which have been used in the 1st and 2nd circle to calculate the value of middle number.

Formula :- Left number + ( Product of remaining three numbers ) = Middle number

3 + ( 3 × 4 × 5 ) = 3 + 60 =  63 ( middle number in 1st figure  ) 

6 + ( 4 × 5 × 3) = 6 + 60 = 66 ( middle number in 1st figure  ) 

6 + ( 7 × 3 × 5 ) = 6 + 105 =  111 ( middle number in 1st figure  ) 

Option (1)71 is correct option

Problem # 3

Exam Cracker

There are three circles in this reasoning problem and every circle have five numbers associated to it. Out of these five numbers four are placed around the circle and fifth is in the centre of the circle. In the 3rd circle the value of question mark will be calculated using all the four associated numbers using the same formula which have been used in the 1st and 2nd circle to calculate the value of middle number.

Formula :- Sum of squares of four numbers around the circle is  = Middle number

1² + 4² + 3² + 2² = 1 + 16 + 9 + 4 = 30 ( middle number in 1st figure ) 

2² + 5² + 4² + 3² = 4 + 25 + 16 + 9 = 54 ( middle number in 2nd figure ) 

3² + 6² + 5² + 4² = 9 + 36 + 25 + 16 = 86 ( middle number in 3rd figure ) 

Option (1)86 is correct option

Problem # 4

Exam Cracker

There are three circles in this reasoning problem and every circle have five numbers associated to it. Out of these five numbers four are placed around the circle and fifth is in the centre of the circle. In the 3rd circle the value of question mark will be calculated using all the four associated numbers using the same formula which have been used in the 1st and 2nd circle to calculate the value of middle number.

Formula :- Product of cube root of four numbers around the circle  = Middle number

∛8 ×∛64 ×∛27 ×∛125 = 2 × 4 × 3 × 5 = 120 ( Middle number in 1st circle) 

∛1 ×∛216 ×∛64 ×∛27 = 1 × 6 × 4 × 3 = 72 ( Middle number in 2nd circle) 

∛8 ×∛343 ×∛125 ×∛1000 = 2 × 7 × 5 × 10 = 700 ( Middle number in 3rd circle) = The value of question mark, But 700 is not in any of three options. Therefore 

Option (4)NOA is correct option

 Problem # 5

Exam Cracker

There are three circles in this reasoning problem and every circle have five numbers associated to it. Out of these five numbers four are placed around the circle and fifth is in the centre of the circle. In the 3rd circle the value of question mark will be calculated using all the four associated numbers using the same formula which have been used in the 1st and 2nd circle to calculate the value of middle number.

Formula :- Sum of cube root of four numbers around the circle = Middle number

∛8 + ∛64 + ∛27 + ∛125 = 2 + 4 + 3 + 5 = 14 ( Middle number in 1st circle) 

∛1 + ∛216 + ∛64 + ∛27 = 1 + 6 + 4 + 3 = 14 ( Middle number in 2nd circle) 

∛8 + ∛343  + ∛125 + ∛1000 = 2 + 7 + 5 + 10 = 24 ( Middle number in 3rd circle) = The value of question mark. Therefore

Option (4)24 is correct option

Problem # 6

Exam Cracker

There are three circles in this reasoning problem and every circle have five numbers associated to it. Out of these five numbers four are placed around the circle and fifth is in the centre of the circle. In the 3rd circle the value of question mark will be calculated using all the four associated numbers using the same formula which have been used in the 1st and 2nd circle to calculate the value of middle number.

Formula :- Sum of square root of four numbers around the circle   = Middle number

√4+ √16 + √9 + √1 = 2 + 4 + 3 + 1 = 10 ( Middle number in 1st circle)

 √64+ √25 + √16 + √36 = 8 + 5 + 4 + 6 = 23 ( Middle number in 2nd circle)

 √49+ √256 + √144 + √289 = 7 + 16 + 12 + 17 = 52 ( Middle number in 3rd circle)

Option (2)52 is correct option

Problem # 7

Exam Cracker

There are three circles in this reasoning problem and every circle have five numbers associated to it. Out of these five numbers four are placed around the circle and fifth is in the centre of the circle. In the 3rd circle the value of question mark will be calculated using all the four associated numbers using the same formula which have been used in the 1st and 2nd circle to calculate the value of middle number.

Formula :- Product of square root of four numbers around the circle  = Middle number

√4× √16 × √9 × √1 = 2 × 4 × 3 × 1 = 24 ( Middle number in 1st circle)

 √64+ √25 + √16 + √36 = 8 × 5 × 4 × 6 = 960 ( Middle number in 2nd circle)

 √9 + √100+ √16 + √121 = 3 × 10 × 4 × 11 = 1320 ( Middle number in 3rd circle)

Option (2)1320 is correct option

Problem # 8

Exam Cracker

There are three circles in this reasoning problem and every circle have five numbers associated to it. Out of these five numbers four are placed around the circle and fifth is in the centre of the circle. In the 3rd circle the value of question mark will be calculated using all the four associated numbers using the same formula which have been used in the 1st and 2nd circle to calculate the value of middle number.

Formula :- Sum of square root of cube root of four numbers around the circle   = Middle number

(∛8)² + (∛125)² + (∛27)² + (∛64)² = 2² + 5² + 3² + 4² =  4 + 25 + 9 + 16 = 54 ( Middle number in 1st circle) 

(∛1) ² + (∛27)² + (∛64)² + (∛216)²= 1² + 3² + 4² + 6² = 1 + 9 + 16 + 36 = 62  ( Middle number in 2nd circle) 

(∛8) ² + (∛343)² + (∛125)² + (∛100)²= 2² + 7² + 5² + 10² = 4 + 49 + 25 + 100 = 178 ( Middle number in 3rd circle)  = The value of question mark. Therefore

Option (4)178 is correct option

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Problem # 9

Exam Cracker

There are three circles in this reasoning problem and every circle have five numbers associated to it. Out of these five numbers four are placed around the circle and fifth is in the centre of the circle. In the 3rd circle the value of question mark will be calculated using all the four associated numbers using the same formula which have been used in the 1st and 2nd circle to calculate the value of middle number.

Formula :- Highest common factor of four numbers around the circle  = Middle number

HCF of  9, 12, 6 and 18 = 3

HCF of 30, 50, 60 and 20 = 10

HCF of  3, 5, 6 and 2 = 1 = The value of question mark. 

Option (4)NOA is correct option

Problem # 10

Exam Cracker

There are three circles in this reasoning problem and every circle have five numbers associated to it. Out of these five numbers four are placed around the circle and fifth is in the centre of the circle. In the 3rd circle the value of question mark will be calculated using all the four associated numbers using the same formula which have been used in the 1st and 2nd circle to calculate the value of middle number.

Formula :- Least common multiple of four numbers around the circle  = Middle number

LCM of  3, 2, 6 and 8 = 24

LCM of 3, 5, 6 and 10 = 30

LCM of  3, 9, 6 and 2 = 18 = The value of question mark. 

Option (1)18 is correct option

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Ten Questions of number analogy for competitive exams

Problem # 1

To find the value of question mark, 1st add both the digits of  1st number and 2nd number and then multiply the results so obtained. 

Formula :- (Sum of  both digits of 1st number) × ( Sum of  both digits of 2nd numbers) .

(3 + 5 ) × (6 + 5) = 8 × 11 = 88 ( It is given) 

(3 + 6 ) × (7 + 4) = 9 × 11 = 99 ( It is given)

(4 + 4 ) × (5 + 5) = 8 × 10 = 80 ( The value of question mark )

Option (4) 80 is correct option

Problem # 2

 To find the value of question mark, 1st multiply both the digits of  1st number and  add both the digits of 2nd number  and then multiply the results so obtained. 

Formula :- (Product of  both digits of 1st number) × (Sum of  both digits of 2nd number).

(2 × 7) × ( 3 + 4 ) = 14 × 7 = 98

(1 × 6 ) × ( 3 + 4 ) =  6 × 7 = 42

(2 × 8 ) × ( 3 + 3 ) = 16 × 6 = 96

Option (3)96 is correct option

Problem # 3

 In this problem all the three given numbers are nearer to the cube of any number. Hence all the given numbers can be written as the cube of some number in addition to one more mathematical operation. If we look carefully then all these given numbers can be written as the sum of a number and cube of the same number.

Formula :-  a³ + a

 8³ + 8 = 512 + 8 = 520 (1st number in given problem)

 9³ + 9 = 729 + 9 = 738 (2nd number in given problem)

 6³ + 6 = 216 + 6 = 222 (3rd number in given problem)

 7³ + 7 = 343 + 7 = 350 (4th number in given problem) and this will be the value of question mark. 

Option (4)350 is correct option

Problem # 4

 In this reasoning problem 1st number (167) is associated to 43 with the help of any rule , in the same rule we have to associate 245 to a number out of four given option.

Look carefully the given numbers consists of three digits. These three digits can be utilised with the help a formula given below.

Formula :- (Left most digit) +{middle digit × right most digit}

{ 1 + ( 6 × 7) } = 1 + 42  = 43

{ 2 + ( 4 × 5) } = 2 + 20  = 22

Option (1)22 is correct option

Problem # 5

Exam Cracker

In this reasoning problem 1st number (167) is associated to 112 with the help of some rule , With the help of same rule we have to associate 452 to a number out of four given option. Also in this problem all the  numbers consists of three digits. These three digits can be used to find the value of question mark with the help a formula given below.

Formula :- (Two Left most digits  ×  right most digit}.

In this problem both the left most digits can be taken as single unit to multiply with the 3rd number. 

{ 16  × 7 } = 112

{ 45 × 2 } =  90 = ? ( The value of question mark ) 

Option (4)90 is correct option

Problem # 6

 In this reasoning problem 1st number (824) is associated to 3 with the help of any rule , in the same way we have to associate 999 to a number out of four given option. All the three digits of given numbers can be utilised with the help a formula given below.

Formula :- (Two Right most digits  ÷  Left most digit}

In this problem both the two right most digits can be taken as single unit to get divided with the 3rd number. 

24 ÷ 8 = 3

99 ÷ 9 = 11= ? ( The value of question mark) 

Option (2)11 is correct option

Problem # 7

 This reasoning problem also consists of three digits .In this problem we have to transform 124 to 21 using a rule in the same way we have to change 631 to a number out four given options. To solve this problem means to get the 2nd number from 1st number ,take the squares of all the digits of 1st number and add all the three results so obtained.

Formula :- (1st digit)²  +  (2nd digit)² +  (3rd digit)² 

 1² +  2² +  4²  = 1 + 4 + 16 = 21

 6² +  3² +  1² = 36 + 9 + 1 = 46 =? ( The value of question mark) 

Option (3)46 is correct option

Problem # 8

 This reasoning problem also consists of three digits . In this problem we have to transform 124 to 69 using any rule in the same way we have to change 521 to a number out four given options. To solve this problem means to find the value of 2nd number in this figure , calculate  the sum of 1st digit , squares of middle digit and cube of 3rd digit .

Formula :- (1st digit)  +  (2nd digit)² + (3rd digit)³ 

1 +  2² +  4³  = 1 + 4 + 64 = 69

5 +   2² +  1³ = 5 + 4 + 1 = 10= ? ( The value of question mark) 

Option (4)10 is correct option

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End

Problem # 9

 In this reasoning problem 1st number (424) is associated to 96 with the help of any rule , in the same rule we have to associate 521 to a number out of four given option. These three digits can be utilised with the help a formula given below.

Formula :- (Two Right most digits  ×  Left most digit}

In this problem both the right most digits can be taken as single unit to multiply with the 1st number. 

4 × 24 = 96

5  × 21 = 105 = ? ( The value of question mark) 

Option (1)105 is correct option

Problem # 10

 In this reasoning problem 1st number (538) is associated to 725 with the help of any rule , in the same rule we have to associate 813 to a number out of four given option. These three digits can be utilised with the help a formula given below.

Formula :- (1st digit)  +  (2nd digit) + (3rd digit)

5  + 3 + 8 = 16
7  + 2 + 5 = 14 Sum of digits is 2 lees than above sum
8  + 1 + 3 = 12 
 We have to choose that option whose sum of digits must be 2 less than above sum. Therefore 
7  + 1 + 2 = 10 
Since all the three remaining option have total other than 10. 
8 + 1 + 4 = 13
2 + 1 + 9 = 12
3 + 2 + 8 = 13 = ? ( The value of question mark) 
Option (2)712 is correct option

Conclusion

Comment your valuable suggestion regarding the post most important Reasoning questions with answers which includes reasoning for competitive exams, circle problems, box problems, circle problems and triangles problems  for competitive exams like SSC CGL ,SSC CHSL ,CPO ,Bank exams and RRB NTPC etc which were explained in this post.

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