Quantitative Aptitude - Arithmetic Ability Questions

The diagonal of a square equals the side of an equilateral triangle. If the area of the square is 6√3 sq cm, what is the area of the equilateral triangle?

If (5/9 of x) ­- (2/5 of 9/4) equals ­ -4/5 then find x.

If tan θ + cot θ = x, then what is the value of tan4θ + cot4θ?

If Sin 31° = xy, then the value of Sec 31° - Sin 59° is

In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratio of areas of the isosceles triangle and an equilateral triangle with same perimeter is

The side of an equilateral triangle is 14 cm. Find its area (in sq.cm).

Karan remembers that his sister's birthday is not after 18th August. Karan's mother remembers that Karan's sister birthday is before 20th August but after 17th August. On which date of August is Karan's sister birthday?

Reflection of the point (2,-4) in the origin is