Set 2

An entrepreneur owns land in 3 different locations. In location A, the land area is $120\text{ m}^2$, in location B the land area is $180\text{ m}^2$, and in location C the land area is $240\text{ m}^2$. The entrepreneur wants to start dividing the land into several plots of equal size. What is the largest possible area for each plot of land?

An entrepreneur owns land in 3 different locations. In location A, the land area is $120\text{ m}^2$, in location B the land area is $180\text{ m}^2$, and in location C the land area is $240\text{ m}^2$. The entrepreneur wants to divide each of his lands into the same number of plots, and this number should be maximized.

What is the area of each plot in location A, B, and C respectively?

When purchasing a motorcycle, a Father receives a $10\%$ discount from the original price of $\text{Rp}75,000,000.00$. If he has to pay a tax on that discount of $2.5\%$, then the final motorcycle price the Father has to pay is...

A durian dealer buys $100$ durians at a price of $\text{Rp}8,000.00$ per fruit. $70$ of them are sold at a selling price of $\text{Rp}10,000.00$ per fruit, and the rest are sold for $\text{Rp}7,000.00$ per fruit. If all of them are sold out, then the dealer makes a profit of...

A cylinder with a radius of $16 \text{ cm}$ and a height of $20 \text{ cm}$ is filled full of water. Then $n$ balls, each with a radius of $6 \text{ cm}$, are inserted into the cylinder. After the balls are inserted, the volume of water remaining in the cylinder is $64\pi \text{ cm}^3$. The number of balls inserted is....

A cube $ABCD.EFGH$ has an edge length of $4$ units. Point $Q$ is the midpoint of line $FG$. The distance from point $Q$ to line $BD$ is.... units.

Mr. Brikson is a manager at an insurance company. Last year, he earned a salary of $\text{Rp}15,000,000.00$ per month. Due to his performance, this year he received a salary increase of $\text{Rp}750,000.00$, so this year he earns $\text{Rp}15,750,000.00$ per month. Next year, his salary will increase again to $\text{Rp}16,500,000.00$ per month. He continues to receive a salary increase of $\text{Rp}750,000.00$ every year.

If Mr. Brikson is $40$ years old this year, what will be his monthly salary when he is $54$ years old?

A factory produces pans. Market demand for the pans continues to increase every month. To meet market needs, the factory continues to increase the number of pan production every month. The number of pans produced each month forms an arithmetic sequence. If the number of pans produced in the $3\text{rd}$ month is $1,500$ units, and in the $6\text{th}$ month it is $2,250$ units. In what month after the factory operates will the number of pan production exceed $10,000$ units per month?

A rocket is fired from an enemy base with a trajectory equation $s(t) = 4000 - t^2$, where $s$ is in meters and $t$ is in seconds. To destroy an opposing aircraft carrier moving with a position function of time $s(t) = 60t$. The time required until the collision occurs is .... seconds.

There are two boxes containing balls of different colors. The first box contains $4$ red balls and $3$ blue balls. The second box contains $7$ red balls and $3$ white balls. One ball is taken from each box. The probability of drawing a red ball from the first box and a white ball from the second box is....

A box contains $40$ eggs, $3$ of which are rotten. If $1$ egg is chosen at random, the probability of choosing a non-rotten egg is...

A rocket is fired from an enemy base with the trajectory equation $s(t) = 4000 - t^2$ where $s$ is in meters and $t$ is in seconds. The rocket is intended to destroy an opposing aircraft carrier moving with the position function $s(t) = 60t$. The position when the rocket exactly hits the aircraft carrier is... Kilometers.

A runner is training on a circular track. There are $4$ checkpoints on the track, namely $A - B - C - D$, with equal distance between checkpoints. Suppose the runner has passed checkpoint $C$ (starting from $A$) $3$ times in $12$ minutes. The time required for the runner to reach checkpoint $C$ for the fourth time is...

A runner is training on a circular track. There are $4$ checkpoints on the track, namely $A - B - C - D$, with equal distance between checkpoints. Suppose the runner has passed checkpoint $C$ (starting from $A$) $3$ times in $12$ minutes.

However, suppose the distance from $C$ to $D$ is widened to $2$ times the original length. Then the time required for the runner to go from checkpoint $A$ to $D$ becomes...

Two "Semoga Awet" shops both sell meat and fish. The sales of meat and fish at the two shops in one week are shown in the following table.

The price of fish per kilogram at both shops is...

Mr. Budi works for $6$ days with $4$ days of overtime and earns $\text{Rp}74,000.00$. Mr. Agus works for $5$ days with $2$ days of overtime and earns $\text{Rp}55,000.00$. If Mr. Dani works for $5$ days and does overtime continuously (every day), the wage he will earn is...

Two study groups have $4$ members each. Their average body weights are $30\text{ kg}$ and $33\text{ kg}$. If one child from each group is swapped, the average body weight becomes equal. The difference in body weight between the two swapped children is...

A written selection test is taken by $60$ participants. The score obtainable by participants ranges from $0$ to $100$. It is known that only $21$ participants received a score greater than or equal to $80$. The smallest possible average score for the $60$ participants is...

A plane is initially at an altitude of $3000$ meters and intends to land on a runway. However, due to bad weather, the ATC (Air Traffic Control) officer asks the pilot to perform a Holding Area maneuver, circling in the air while waiting for the weather to improve. The plane's position, which initially formed a $30^\circ$ angle with the ATC tower, changes to $45^\circ$ within $30$ seconds. The estimated speed of the plane is...

Toko Maju receives cooking oil shipments from three suppliers for resale with the following schedule:

On April $1$, $2023$, the store received shipments of cooking oil brands A, B, and C simultaneously for the first time.

If Toko Maju will receive shipments of cooking oil brands A, B, and C on the same day for the $11$th time on $120$ days after April $1$, $2023$, then the value of $x$ is...