Quantitative Aptitude - Arithmetic Ability Questions

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? 

N invented Rs.20,000 in a business. Six months later, C joined him with Rs. 10,000. At the end of the year, the profit was Rs. 10,000. What should be the share of N?

The side BC of ΔABC is produced to D. If ∠ACD = 114° and ∠ABC= (1/2)∠BAC, then what is the value (in degrees) of ∠BAC?

An angle is smaller than its supplementary by 30°. What is the measure of the angle?

If sin ­-240° = x, then the value of x is

97 x 97 = ?

In ΔDEF measure of angle E is 90 deg. If cotD = 8/15, and DE = 16cm, then what is the length (in cm) of side EF?

In triangle DEF measure of angle E is 90 deg. If cotD = 5/12 and DE = 1 cm, then what is the length (in cm) of side EF?