Quantitative Aptitude - Arithmetic Ability Questions

Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is

Δ LMN is right angled at M. If m∠N = 45°, what is the length of MN (in cm), if NL = 9√2 cm?

If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is

The areas of two similar triangles ΔABC and ΔPQR are 121 sq cms and 64 sq cms respectively. If PQ = 12 cm, what is the length (in cm) of AB?

If a – b = 11 and ab = 24, then value of a2 + b2 is

What will be the roots of the quadratic equation x2 - 25x + 156 = 0?

What is the value of 23+5252-23 ?

What is the average of 36, 43, 51, 68, and 77?