Subject Experts Solutions for Chapter: Factors and Multiples, Exercise 2: Exercise 2

Two bags of sugar contains $26 \mathrm{and} 39 \mathrm{kg}$ of sugar, respectively. What is the greatest weight that can be used to measure the weight in each bag an exact num­ber of times? How many times of kg will it take to weigh all the sugar in the two bags using this weight?

A father gave equal amount of money to his three daughters Simron, Cinderella and Sreya to purchase some items for his birthday party. Simron brought puffs which costs $₹18$ each, Cinderella bought cakes which costs $₹24$ each and Sreya bought cool drinks which costs $₹30$ each. If they spent their money completely on these items, then find the minimum number of cakes that Cinderella bought.

There are $72$ green colour, $144$ red colour and $234$ orange colour chairs in an auditorium. A boy want to put the chairs in rows such that each row is of the same coloured chairs and the number of chairs is equal in each row. Find the minimum number of rows of chairs in the auditorium.

Aakruthi and Prakruthi are playing skipping-rope Aakruthi skips $30$ times in a minute and Prakruthi skips $20$ times in a minute. Both of them start skip­ping at $4.50 \mathrm{p}.\mathrm{m}.$ and continue till $5 \mathrm{p}.\mathrm{m}.$ without any interruption. How many times do they skip the rope simultaneously after $4.50 \mathrm{p}.\mathrm{m}.$?

Dharma, Bhima, Arjun and Karna are very good friends. One day they brought and donated $₹20, ₹30, ₹40 \mathrm{and} ₹50$ to a charity, respectively. Their Math teacher donated an amount (in $₹$) which is equal to the least common multiple of the amounts (in$₹$) donated by Dharma, Bhima, Arjun and Karna. What is the amount donated by the teacher?

A small-scale industry made different kinds of bulbs. The details are as follows:

These bulbs are packed in cartons. Each carton con­tains same number of bulbs and only one variety. Find the minimum number of cartons required to pack these bulbs.

Find the greatest four-digit number which is common multiple of $12, 16, \mathrm{and} 24$.

Ranga and Pranav are good friends from their child-hood. They play a game in which they select a number from $1 \mathrm{to} 1000$. Ranga selects every ${12}^{\mathrm{th}}$ number and Pranav selects every ${27}^{\mathrm{th}}$ number. What are the num­bers selected by the friends in common?