Quantitative Aptitude - Arithmetic Ability Questions

Consider the following figure shown below and choose which of the following equation is correct about the similarity of both triangles?

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 girl walking at the speed of 2 km/hr covers a certain distance in 7 hours 30 minutes. If she covers the same distance by cycle in 5 hours, then what is the speed (in km/hr) of cycle?

Ritesh sold a pen for Rs. 36 with a profit of 20%. If it were sold for Rs.33, then what could be the percentage of profit or loss?

Aparna changes the marked price of an item to 50% above its C.P. What % of discount allowed in approximately to gain 10%?

The sum of the lengths of the edges of a cube is equal to four times the perimeter of a square. If a quarter of the numerical value of the volume of the cube is equal to the numerical value of the area of the square, then the length of one side of the square is

If the angles of a triangle are in the ratio of 2:3:4, then the difference of the measure of greatest angle and smallest angle is

P and Q undertook to do a work for Rs 7200. P alone could do it in 20 days and Q alone in 12 days. With the assistance of R they finished the work in 5days. What is the share (in Rs) of R?