The largest measuring cylinder that can accurately fill 3 tanks of capacity…
2025
The largest measuring cylinder that can accurately fill 3 tanks of capacity 98, 182 & 266 liters each, is of capacity:
- A.
2 L
- B.
7 L
- C.
14 L
- D.
98 L
Attempted by 76 students.
Show answer & explanation
Correct answer: C
Answer: 14 liters
Explanation: The largest measuring cylinder that can exactly fill all three tanks must have capacity equal to the greatest common divisor (HCF) of the three volumes.
Find HCF of 98 and 182: 98 = 2 × 7 × 7, 182 = 2 × 7 × 13, so HCF(98, 182) = 2 × 7 = 14.
Find HCF of 14 and 266: 266 = 2 × 7 × 19, so HCF(14, 266) = 14.
Therefore the greatest common divisor of 98, 182 and 266 is 14, so the largest measuring cylinder that can exactly fill all three tanks is 14 liters.