Quantitative Aptitude - Arithmetic Ability Questions

A person lent Rs 10000 to B for 3 years and Rs 6000 to C for 4 years on simple interest at same rate of interest and received Rs 5400 in all from both of
them as interest. What is the rate of interest (in %)?

The average of 6 consecutive integers is 15/2. What is the average of last three integers?

If the radius of a circumscribed circle in an equilateral triangle is 14 cm. Then what will be the radius (in cm) of the inscribed circle?

If P : Q : R = 2 : 3 : 5, then what is the value of (P + Q) : (Q + R) : (R + P)?

If 13A = 11B = 8C, find A : B : C

What is the length of the side of a regular hexagon, if its area is 54√3 sq cm?

Triangle ABC as shown in figure has line XY parallel to the BC and the line BY is the bisector of angle XYC. Which of the following option is correct?

The area of the square field is 196 sq.m. Its each side is