A shopkeeper in Pune has 144 chocolates and 90 toffees. He makes identical gift packs, each pack containing the same number of chocolates and the same number of toffees, with nothing left over, and the number of packs is as large as possible. How many gift packs can he make?
Class 10Euclid's Division LemmaNumber Systems
A17
B18
C36
D19
Step-by-Step Solution
Number of packs = HCF(144,90). 144=90×1+54; 90=54×1+36; 54=36×1+18; 36=18×2+0. HCF = 18.
Answer: B) 18
Master this chapter in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.