How many consecutive zeros are there at the end of the integer obtained in the product $1^2 \times 2^4 \times 3^6 \times 4^8 \times \dots \times 25^{50}$ ?

100

200

Kepler. Discussing PYQs. Q.no. 9

Q9: CSAT 2024 | IASCODEX | IASCODEX

How many consecutive zeros are there at the end of the integer obtained in the product 12×24×36×48×⋯×25501^2 \times 2^4 \times 3^6 \times 4^8 \times \dots \times 25^{50}12×24×36×48×⋯×2550 ?