Quantitative Aptitude - Arithmetic Ability Questions

Among four bags, average weight of last three bags is 18 kg and the average weight of first three bags is 19 kg. If the weight of last bag is 22 kg, then what is the weight (in kg) of first bag?

Product of digits of a 2-digit number is 18. If we add 63 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

Find the value of p, if 2x -­ 4, 4x + p and 6x -­ 12 are in arithmetic progression.

The sum of two fractions is 3/4. One of them is 2/3. What is the other fraction?

What is the slope of the line parallel to the line passing through the points (6,­3) and (2,­1)?

The simple interest on a sum of money is 16/25 of the principal. The number of years is equal to the rate of interest per annum. What is the rate (in percentage) of interest per annum?

A number is greater than 58 times its reciprocal by 3/4. What is the number?

In a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incentre of ΔABC. ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are