Quantitative Aptitude - Arithmetic Ability Questions

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?

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?

Which of the following will give a terminating decimal?

What is the length of diagonal, if area of a rectangle is 168 sq.cm and breadth is 7 cm?

What least number must be added to 213, so that the sum is completely divisible by 9?