d) Luke now takes six cards numbered 1 to 6 but he groups them into two sets of three. He finds the sums of the numbers in each triple and then finds the LCM of these two triple sums. What is the smallest LCM he can obtain?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Q2. Luke has a set of cards numbered 1 to 8, which he arranges in pairs. He notes the sum of the numbers on each pair of cards and calculates
the lowest common multiple (LCM) of the four sums. For example, the
pairs could have been
{7,3}, {2,6}, {5,1}, {8,4}.
In this case, the pair sums would have been 10, 8, 6, 12 respectively,
giving an LCM of 120. Pair sums are not necessarily different.
d) Luke now takes six cards numbered 1 to 6 but he groups them into
two sets of three. He finds the sums of the numbers in each triple and
then finds the LCM of these two triple sums. What is the smallest
LCM he can obtain?
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