Quantitative Aptitude - Arithmetic Ability Questions

Reflection of the point (4,-5) in the y-axis is

In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR =105°, then what is the value of ∠PAR (in degrees)?

In ΔPQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?

In what time will a 100 metre long train running with a speed of 50 km/hr cross a pillar?

What is the value of 2 - 2z + z22 + 2z - z2, when z+2z = 2 ?

tan2Asin2Ais equal to

If a + b = 10 and ab = 24, then the value of a3 + b3 is

If 8x/3 + [7(5 - 2x/3)]/2 = 1/2 , then what is the value of x?