Quantitative Aptitude - Arithmetic Ability Questions

What is the equation of the line if its slope is ­2/5 and y-­intercept is 6?

If x - √x = 20; Find the value of √x.

If tan (5x ­- 10°) = cot (5y + 20°), then the value of x + y is

Find the greatest number which on dividing 1580 and 3800 leaves remainders 8 and 1 respectively.

Two pipes X and Y can individually fill a tank in 48 and 72 min respectively. If they are opened simultaneously, how long will it take for the tank to fill? 

Average age of 6 boys is 14 years. Average age of 11 girls is 12 years. What is the average age (in years) of all boys and girls?

In ΔPQR, ∠QPR = 45° and the bisectors of ∠PQR and ∠PRQ meets at O. What is the value (in degrees) of ∠QOR?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?