Quantitative Aptitude - Arithmetic Ability Questions

A Navy captain going away from a lighthouse at the speed of 4[(√3) – 1] m/s. He observes that it takes him 1 minute to change the angle of elevation of the top of the lighthouse from 60 to 45 deg. What is the height (in metres) of the lighthouse?

Divide 13,680 in three parts such that 1st part is 3/5th of the third part and the ratio between 2nd and 3rd part is 4:7. How much is the first part?

If 5x + 1/x = 10, then x2 + 125x2 is equal to

What is the ratio of simple interest earned on certain amount at the rate of 12% p.a. for 9 years and that for 12 years?

A dishonest milkman buys milk at Rs 30 per litre and adds 1/5 of water to it and sells the mixture at Rs 32 per litre. What will be his gain?

Two trains are moving in the opposite direction at speed of 30 km/hr and 45 km/hr respectively, whose lengths are 450 m and 550 m respectively. What is the time taken (in seconds) by slower train to cross the faster train?

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
If S is sum of the cubes of the dimensions of the cuboid and V is its volume, then what is (S-3V) equal to?

Find the HCF of 3341 and 3328.