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?

What is the LCM (least common multiple) of 57 and 93?

The difference between 44% of a number and 33% of the same number is 286. What is the 54% of that number?

In a trapezium ABCD, AB || CD, AB < CD, CD = 6 cm and distance between the parallel sides is 4 cm. If the area of ABCD is 16 sq.cm, then AB is

If xy = 48 and x2 + y2 = 100, then (x + y) is

Cost price of a pen is 50 Rs. and that of notebook is 140 Rs. If pen is sold at 200% profit, then to purchase 10 such note books how many pens are required to sell if only profit money is used to buy notebooks?

If a, b and c are positive integers such that 1a+1b+1c+12 = 1623, then what is the mean of a, b and c?

If a person walks at 12 km/hr instead of 10 km/hr, he would have walked 1 km more in the same time. What is the actual distance (in kms) travelled by him at 10 km/hr in the same time?