Home
Class 6
MATHS
There are three empty drums which can ho...

There are three empty drums which can hold 384 litres, 576 litres and and 288 litres of water. Each of them is to be filled by usinga measuring jar, a whole number of times. What is the largest possible capacity of the measuring jar with which we can fill all the three drums ?

A

96 litre

B

24 litres

C

72 litres

D

36 litres

Text Solution

Verified by Experts

The correct Answer is:
A

The HCF of 384,576 and 288 is 96.
Hence, the greatest possible sizes of the measuring vessel is 96 litres.
Hence, the correct option is (d).
Promotional Banner

Topper's Solved these Questions

  • FACTORS AND MULTIPLES

    PEARSON IIT JEE FOUNDATION|Exercise Assessment Test|15 Videos
  • FACTORS AND MULTIPLES

    PEARSON IIT JEE FOUNDATION|Exercise Crossword|1 Videos
  • FACTORS AND MULTIPLES

    PEARSON IIT JEE FOUNDATION|Exercise Short answer type question|18 Videos
  • ALGEBRA

    PEARSON IIT JEE FOUNDATION|Exercise CROSSWORD|1 Videos
  • FRACTIONS AND DECIMALS

    PEARSON IIT JEE FOUNDATION|Exercise Crossword|1 Videos

Similar Questions

Explore conceptually related problems

Three drums contain 36 litres,45 litres and 72 litres of Oil.Find the capacity of the largest container which can.3 measure the content of each drum an exact number of xx.

There are three drums with 1653 litre 2261 litre and 2527 litre of petrol. The greatest possible size of the measuring vessel with which we can measure up the petrol of any drum while every time the vessel must be completely filled:

A milkman has 3 jars containing 57 litres, 129 litres and 177 litres of pure milk respectively. A measuring can, after a different number of exactly measurements of milk in each jar, leaves the same amount of milk unmeasured in each jar. What is the volume of the largest such can? (a) 12 litres (b) 16 litres (c) 24 litres (d) None of these

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.

Three different containers contain 496 litres, 403 litres, 713 litres of mixtures of milk and water respectively. What biggest measurer can measure all the different quantities exactly?