The number of books on the shelf is between 1 10~ 150, of which one fifth are science books and three fifths are story books, indicating that the total number of * * * books is a multiple of 5*7, that is, a multiple of 35, while 3 * 35 =1054.

So there are 140 books in total.

So there are =140-140 *1/5-140 * 3/7 =140-28-60 = 52 picture books.