The value of   $${cosθ+sin^6θ+3sin^2θ \ cos^2θ}\over cosecθsecθ(sinθ+cosθ-1)(sinθ+cosθ+1) $$

If the price of a commodity is decreased by 20% and its consumption is increased by 20%, what will be the increase or de- crease in the expenditure on the commodity?

The price of sugar is reduced by 20%. Now a person can buy 500g more sugar for ₹ 36. The original price of the sugar per kilogram was: 

If x = 2 then the value of x³ + 27x² + 243x + 631 is

If 4sin²θ=3(1+cosθ),0⁰<θ<90⁰, then what is the value of (2tanθ+4sinθ-secθ)?

The ratio of the area of a square to that of the square drawn on its diagonal is

Speed of a along and against the current are 14 km / hr and 8 kms/hr respectively. The speed of the current is:

When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient=double the remainder. If the remainder is 80 then the value of x is