Quantitative Aptitude - Arithmetic Ability Questions

The angles of depression of two ships from the top of a light house are 60° and 45° towards east. If the ships are 300 m apart, the height of the light house is

Which of the following numbers is not composite?

In the series 5442673314884743581,the number of 4s that are completely divisible by the number on their right but not divisible by the number on their left is

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? 

Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?A. 154 square cmB. 308 square cmC. 462 square cmD. 616 square cm

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?

The radius and height of a solid cylinder are increased by 2% each. What will be the approximate percentage increase in volume?

If cot 240° = x, then the value of x is