Home
Class 6
MATHS
Two water tanks have capacities 30 liter...

Two water tanks have capacities `30` liters and `18` liters, respectively. What is the highest measure of a measuring cylinder which can exactly measure the water of both the tanks when the tanks are full?

A

`5` liters

B

`9` liters

C

`8` liters

D

`6` liters

Text Solution

AI Generated Solution

The correct Answer is:
To find the highest measure of a measuring cylinder that can exactly measure the water from both tanks (30 liters and 18 liters), we need to calculate the highest common factor (HCF) of the two capacities. ### Step-by-Step Solution: 1. **Identify the capacities of the tanks**: - Tank 1: 30 liters - Tank 2: 18 liters 2. **List the factors of each capacity**: - Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30 - Factors of 18: 1, 2, 3, 6, 9, 18 3. **Identify the common factors**: - Common factors of 30 and 18: 1, 2, 3, 6 4. **Determine the highest common factor (HCF)**: - The highest common factor from the common factors is 6. 5. **Conclusion**: - The highest measure of a measuring cylinder that can exactly measure the water from both tanks is **6 liters**.
Promotional Banner

Similar Questions

Explore conceptually related problems

Two tankers contain 850 litres and 680 liters of kerosene oil Respectively. Find the maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times.

Two tanks contain 735 litres and 504 litres of water resepectively. Find the maximum capacity of a container which can measure the water of either tank an exact number of times.

A Two pipes can fill a tank in 12 hrs and 18 hrs respectively. The pipes are opened together but due to a pipe leakage, it takes 48 minutes extra to fill the tank, If the tank is full, what time will it take to completely empty due to the leakage.

Which of the following methods can be used to measure the speed of light in water?

Two taps A and B supply water at temperature 10^(@)C and 50^(@)C respectively . Tap A alone fills the tank in 1 hour and tap B alone fills the tank in 3 hour. If we open both the taps together in the empty tank , if the final temperature of the water in the completely filled tank is found to be 5alpha ("in" "^(@)C) . Find the value of alpha . Neglect loss of heat to surrounding and heat capacity of the tank.

Two tanks A and B contain water at 30^@C and 80^@C respectively calculate the amount of water that must be taken from each tank respectively to prepare 40 kg of water at 50^@C

Two tanks A and B contain water at 30^@C and 80^@C respectively calculate the amount of water that must be taken from each tank respectively to prepare 40 kg of water at 50^@C

The mass of a lead piece is 115 g. When it is immersed into a measuring cylinder, the water level rises from 20 mL mark to 30 mL mark. Find the volume of the lead piece

The mass of a lead piece is 115 g. When it is immersed into a measuring cylinder, the water level rises from 20 mL mark to 30 mL mark. Find the density of the lead in kg m^(-3)

A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20mxx15m xx 6m . For how many days will the water of this tank last?