Aptitude Problems on Numbers with Formulas



Aptitude Problems on Numbers with Formulas

Introduction

On the Nithra Jobs site we have given problems on numbers questions, and answers with clear explanations. It is a platform that provides job seekers with various resources and materials to help them prepare for competitive exams and job interviews. The platform offers a range of practice tests that cover different topics, including number problems. To know the formulas for the number problems click this link.

6. A man has some hens and cows. If the number of heads be 64 and the number of feet equals 176, then the number of hens is?

Answer: 40

Explanation:

Let the number of heads be x and the number of cows be y.

Then, x + y = 64 (i)

And 2x + 4y = 176 (ii)

Multiply by 2 in equation (i)

2x + 2y = 128 (iii)

Solve the equations (ii) and (iii)

we get 2y = 48

y = 48/2

y = 24

x + y = 64

x = 64 - 24

= 40

The required answer = 40


7. If one-third of one-fourth of a number is 15, then what is the three-tenth of that number?

Answer: 54

Explanation:

Let us assume the number be x.

So, according to the statement given

1/3 × (1/4 × x) = 15

(1/4 × x) = 15 × 3

x / 4 = 45

x = 45×4

x = 180

So, 3/10 of 180 is

= 3/10 × 180

= 54

Three-tenth of the number = 54


8. Four times the first of three consecutive odd integers is 14 more than twice the third. The third integer is:

Answer: 15

Explanation:

Let the three integers be x, x + 2 and x + 4

Then, 4x = 2 × ( x + 4 ) + 14

4x = 2x + 8 + 14

4x = 2x +22

4x - 2x = 22

2x = 22

x = 22 / 2

x = 11

Third integer = x + 4

= 11 + 4

= 15

Third integer = 15


9. A number is as much greater than 56 as is less than 106. Find the number.

Answer: 81

Explanation:

Let the number be x.

Then x - 56 = 106 - x

x + x = 106 + 56

2x = 162

x = ( 162 / 2 )

= 81

The number is = 81


10. The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 9. What is the difference between the two digits of that number?

Answer: 1

Explanation:

Let the ten's digit be x and unit's digit be y

Then, ( 10x + y ) - ( 10y + x ) = 9

10x + y - 10y - x = 9

9x - 9y = 9

9 ( x - y ) = 9

( x - y ) = ( 9 / 9 )

= 1

Difference between the two digits of that number = 1


Problems for practice:

1. If one-third of one-fourth of a number is 15, then three-tenth of that number is:

2. Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

3. The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

4. The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

5. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

Conclusion

With adequate practice and preparation for solving number system questions and answers, individuals can develop the skills needed to solve number problems quickly and accurately for improving their chances of success. Problems with numbers are also given with formulas, So job hunters who are interested in learning numbers visit the Nithra jobs site.




Share :