J P Mohindru and Bharat Mohindru Solutions for Chapter: Real Numbers, Exercise 1: EXERCISE

Find HCF of $693$ and $567$ and express it as a linear combination of them. Is this combination unique? If not, then write one more linear combination.

The length and breadth of a field are $16 \mathrm{m} 17 \mathrm{cm}$ and $22 \mathrm{m} 77 \mathrm{cm}$ respectively. If the maximum length of the rope which can measure the dimensions of the field in exact number of times is $k \mathrm{cm}$, then find the value of $k$.

Two oil tankers contain $850$ litres and $680$ litres of petrol respectively. Find the maximum capacity of the container which can measure the petrol of either tank in exact number of times. If $k$ litres is the required answer. Find $k$.

The dimensions of a room are $8 \mathrm{m} 25 \mathrm{cm}, 6 \mathrm{m} 75 \mathrm{cm}$ and $4 \mathrm{m} 30 \mathrm{cm}.$ Find the length of longest rod which can measure the three dimensions of the room exactly.

$144$ cartons of coke cans and $90$ cartons of pepsi cans are to be stacked in a store. If each stack is of same height and is to contain cartons of same drink, then find least number of stacks required.

The length, breadth and height of a room are $8 \mathrm{m}$, $25 \mathrm{m} 75 \mathrm{cm}$ and $4 \mathrm{m} 50 \mathrm{cm},$ respectively. Find the largest rod that can measure the three dimension of the room exactly.

$375$ male athletes and $105$ female athletes of a country are to be divided into different groups such that in a group either all male or all female athletes should be there. Also, the number of athletes in each group should be same and no one is left without a group. What should be the maximum number of athletes in a group so that minimum number of groups are formed? Also find how many groups are formed?

A stockist has $120$ cartons of anacin, $180$ cartons of dispirin and $240$ cartons of bruffen. He wants to sell the three kinds of medicines to retailer in containers of equal capacity. What should be the greatest capacity of each container in terms of cartons if each container has cartons of same medicine.