Quantitative Aptitude - Arithmetic Ability Questions

A jar contains a blend of a fruit juice and water in the ratio 5 : x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 : 1. What is the value of x?

A person clapped his hands near a cliff and heard echo after 6 s. The distance of the cliff from the personis: [take v = 346 m/s]

A can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half of the job?

If a+1b= b+1c = c+1a (a , b, c are not equal) then the value of abc = 

cot3A is equal to

A trader buys 800 kgs of tomatoes for Rs 7200. 10% tomatoes are damaged in transportaion. At what rate (Rs/Kg) should he sell the rest to earn 30% profit?

HCF and LCM of two numbers are 11 and 825 respectively. If one number is 275 find the other number.

If Sec θ = 5/3, then what is the value of Cosec θ?