Quantitative Aptitude - Arithmetic Ability Questions

Value of (4a2+ 12ab + 9b2)/(2a + 3b) is

If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?

Two students appeared for an examination. One of them secured 20 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are

The price of an article is cut by 33%, to restore to its original value, the new price must he increased by

If a person walks at 12 km/hr instead of 10 km/hr, he would have walked 1 km more in the same time. What is the actual distance (in kms) travelled by him at 10 km/hr in the same time?

If A = 0.216 + 0.0080.36+0.04-0.12 & B = 0.729-0.0270.81+0.09+0.27, then what is the value of A2+B22 ?

What is the simplified value of sin2(90–θ)–[sin(90–θ)sinθ/tanθ]?

If the price of onion increases from Rs 24/kg to Rs 36/kg, then by what percentage a household should decrease the consumption of onion so that
expenditure remains same?