M. Tyra Solutions for Chapter: Number System, Exercise 1: Exercises

The sum of a series of $5$ consecutive odd numbers is $195$. The second lowest number of this series is $5$ less than the second highest number of another series of $5$ consecutive even numbers. What is $40\%$ of the second lowest number of the series of consecutive even numbers?

There are four consecutive positive odd numbers and four consecutive positive even numbers. The sum of the highest even number and the highest odd number is $33$. What is the sum of all the four consecutive odd and even numbers?

The tens digit of a three-digit number is $3$. If the digits at units and hundreds places are interchanged then the number thus formed is $396$ more than the previous one. Also the sum of the units digit and hundreds digit is $14$. Then what is the number?

${\mathrm{S}}_1$ is a series of $4$ consecutive even numbers. If the sum of the reciprocal of the first two numbers of ${\mathrm{S}}_1$ is $\frac{11}{60}$, then what is the reciprocal of the third highest number of ${\mathrm{S}}_1$ ?

A number is such that when it is multiplied by '$8$', it gives another number which is as much more than $153$ as the original number itself is less than $153$. What is $25\%$ of the original number?

On the annual day, sweets were to be distributed equally amongst $600$ children of the school. But on that particular day, $120$ children remained absent. Thus, each child got $2$ extra sweets. How many sweets was each child originally supposed to get ?

Deepak has some hens and some goats. If the total number of animal heads is $90$ and the total number of animal feet is $248$, what is the total number of goats Deepak has?

Rachita enters a shop to buy ice-creams, cookies and pastries. She has to buy at least $9$ units of each. She buys more cookies than ice-creams and more pastries than cookies. She picks up a total of $32$ items. How many cookies does she buy?