Two tankers contain 850 litres and 680 litres of petrol respectively. Find the maximum capacity of a measuring vessel that can be used to exactly measure the petrol from either tankers with no petrol remaining.

200 litres

No worries! We‘ve got your back. Try BYJU‘S free classes today!

170 litres

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

440 litres

No worries! We‘ve got your back. Try BYJU‘S free classes today!

360 litres

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 170 litres
Maximum capacity of the measuring vessel = HCF (850, 680)

We use Euclid's division algorithm to find the HCF of 850 and 680.

850 = 680 $\times$ 1 + 170
680 = 170 $\times$ 4 + 0

$∴$ HCF (850, 680) = 170
So, the maximum capacity of the measuring vessel required is 170 litres.

Suggest Corrections

326

Similar questions

Q. Two tankers contain 850 litres and 680 litres of petrol respectively. Find the maximum capacity of a measuring vessel that can be used to exactly measure the petrol from either tankers with no petrol remaining.

Q. Two tankers contain

850 l i t r e s

and

680 l i t r e s

of petrol respectively. Find the maximum capacity of a container which can measure the petrol of either tanker in exact number of times.

Q. Two tankers contain

150

litres and

100

litres of petrol respectively. The maximum capacity of container which can be used to measure petrol exactly is:

Two tankers contain 200 litres and 440 litres of petrol respectively.
The maximum capacity of a container which can measure the petrol of either tank in the exact number of times is ____ litres.

Q. Two tankers contain 850 litres and 680 litres of kerosene oil respectively, then the maximum capacity of a container which can measure the kerosene out of both the tankers when used an exact number of times is ______.

Join BYJU'S Learning Program

Two tankers contain 850 litres and 680 litres of petrol respectively. Find the maximum capacity of a measuring vessel that can be used to exactly measure the petrol from either tankers with no petrol remaining.

The correct option is B 170 litresMaximum capacity of the measuring vessel = HCF (850, 680) We use Euclid's division algorithm to find the HCF of 850 and 680. 850 = 680 × 1 + 170 680 = 170 × 4 + 0 ∴ HCF (850, 680) = 170 So, the maximum capacity of the measuring vessel required is 170 litres.