In an increasing Arithmetic Progression, the product of the 5th term and the 6th term is 300. When
the 9th term of this A.P. is divided by the 5th term, the quotient is 5 and the remainder is 4. What is
the first term of the A.P.?
(a) 12 (b) –40 (c) –16 (d) –5
![\begin{align*}\gcd (m^3, n^2) & = 2^2 \cdot 3^2,\\ \text{LCM} [m^2, n^3] & = 2^4 \cdot 3^4 \cdot 5^6,\end{align*}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sums4Gk7Oux6l9D9mmnXgAFAlaAlIqcIK64qRRqNl6R9Mj3u9Kn6xReE59aH9aoyrCPN9Q3fGOAuKa1Sc-OwBUHQ3y7pNEmpaoH9OB8di-Rr-L-vfN8xf4PZZzAeqvla4yLWn5jWuM6irivrduz8tMzhE5va2eO0zgWfJ1DA381TYiI5yLbg=s0-d "\begin{align*}\gcd (m^3, n^2) & = 2^2 \cdot 3^2,\\ \text{LCM} [m^2, n^3] & = 2^4 \cdot 3^4 \cdot 5^6,\end{align*}")
![\text{LCM}[a, b]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sIn8v3kZ7i7-hKQaVCwba0EJsnfd3GMJBnUBJ1eJsbHZYbeFZD4K_KGvXiyYb7teThMLO8CGKmFEt6urctfjlSPHiDej51iWgh5J13WNkwXJGXZqZjJFWsSZXJhzFyEtAR-5NDR-aY_1sYc05hsUIiLacAaWF8Nok8RyUKahkxUa4oif_Iag=s0-d "\text{LCM}[a, b]")
