Champak and Clocks

Champak is a bright student who is very fond of clocks. He comes across a puzzle which states that he needs to calculate the number of times the minute hand and hour hand of a clock will make a $90^o$ degrees angle between them. He is given $T$ such queries with time range from $L$ hours to $R$ hours (**both inclusive** in the $24$-hour format) like $[L,R]$. He has to count the number of