Quantitative Aptitude - Arithmetic Ability Questions

If triangle ABC = triangle XYZ and angle BAC = 55 deg, then angle ZXY = ?

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°?

The cash difference between the selling price of an article at a profit of 2% and 12% is Rs.3. The ratio of two selling prices is

Average age of 5 students of a school is 14 years. The average age of students and their Mathematics and science teachers is 30 years. If the age of science teacher is 6 years more than the age of Mathematics teacher, then what is the age (in years) of Mathematics teacher?

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

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 1:4 and area of Δ APQ is 4 sq cm, what is the area of trapezium PQCB?

Two circles with centres P and Q touch each other externally. A straight line drawn through the point of contact intersects the circle with centre P at A and the circle with centre Q at B. Then, which of the following is true?

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?