## Let P = (13) (17) (23) … (97) be the product of all two digit numbers that end with either a 3 or a 7. What are the last two digits of P?

Question

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## Answers ( )

Answer:(93) ,(97)

Step-by-step explanation:

Seeing the series (13) (17) (23) …….(97)

The first number is repeating twice with 3 and 7 alternatively. After 1 the next number will be 2 with 3 and 7 alternatively and thus the remaining terms till 97will be

(13)(17)(23)(27)(33)(37)…..(93)(97)

Thus last two terms will be (93) ,(97)