Quantitative Aptitude - Arithmetic Ability Questions

A solid right circular cone of radius 4 cm and height 7 cm is put inside a cylindrical vessel of radius 5 cm and height 8 cm. How much water in cubic cm will be required to fill the cylindrical vessel completely?

What is the value of ( 1/2 - cot45) ?

A Village lost 12% of its goats in a flood and 5% of remainder died from diseases. If the number left now is 8360. What was the orignal number before the flood?

The mean of 10 observations is 13. Two more observations are included and the new mean becomes 14. The mean of two new observations is

A boy buys 5 pencils at Rs 3 each, 3 erasers at Rs 2 each and 3 sharpeners at Rs 5 each. What is the average expenditure (in Rs) per article?

A man starts moving from a place A and reaches the place B in 26 hours. He covers 1/3rd of the distance at the speed of 4 km/hr and covers the remaining distance at the speed of 5 km/hr. What is the distance (in km) between A and B?

The age of Rakhi is twelve times that of her daughter Anubha. If age of Anubha is 3 years now, then what was the age of Rakhi, 2 years earlier?

If 14.35 - (1.956 - x ) - 83.92 = 3.858 then what is the value of x?