Quantitative Aptitude - Arithmetic Ability Questions

Which of the following can't be the unit's digit of a perfect square?

 In ΔDEF measure of angle E is 90 deg. If tanD = 4/3, and DE = 6cm, then what is the length (in cm) of side EF?

If the side of the equilateral triangle is 8√3 cm, then what is the length (in cm) of the in radius of the triangle?

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

In a triangle the length of the side opposite the angle which measures 30 degree is 9√3 cm, what is the length of the side opposite to the angle which measures 60 degree?

Two trains are moving in the same direction at the speed of 23 km/hr and 77 km/hr. The time taken by faster train to cross a man sitting in the slower train is 40 seconds. What will be the length (in metres) of the faster train?

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?

4 men can build a small house in 12 days. How long would it take for 6 men to build the same house?