Quantitative Aptitude - Arithmetic Ability Questions

A kite is flying at a height of 50m. If the length of string is 100 m then the inclination of string to the horizontal ground in degree measures is

Puneet lent out Rs 30000 in two parts, one at 5% and the other at 9% interest. The yearly average interest comes out to be 6%. What are the amounts (inRs) that are lent at 5% and 9% respectively?

In a triangle the length of the side opposite the right angle is 6 cm, what is the length of the side opposite to the angle which measures 30°?

What is the slope of the line 2x + 3y = 12?

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?

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

What is the value of 2 consecutive natural numbers, sum of whose squares is 145?

What is the sum of the first 11 terms of an arithmetic progression if the 4th term is 11 and the 7th term is -4?