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.

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?