The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is 

If $$ sin θ ={20 \over 29}$$, then what is the value of sec θ sin θ?

Sandeep buys an old scooter for Rs.4700 and spends Rs.800 on its repairs. If he sells to its Rajesh for Rs.5800, then his gain percent will be:

Two trains of equal length take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 meters, in what time (in seconds) will they cross each other traveling in opposite direction? 

The coordinates of the incentre of the triangle whose sides are 3x – 4y = 0, 5x + 12y = 0 and y – 15 = 0, are

$$ {Cos^4θ +Sin^4θ}={2 \over3} $$ then the value of $$ {Cos^2θ -Sin^2θ+1}$$?

If a + b + c = 12, a² + b² + c² = 52, then what is ab + bc + ca equal to-

In a factory, the salary of each worker is increased in the ratio 22 : 25 but the number of workers is decreased by $$ 26{2\over3}\% $$. The net effect on the salary is: