Quantitative Aptitude - Arithmetic Ability Questions

In the following question, select the related number from the given alternatives.
 
47 : 57 : : 93 : ?

Two equal circles of radius 3 cm each and distance between their centres is 10 cm. The length of one of their transverse common tangent is

The area of a triangle ABC is 63 sq.units. Two parallel lines DE, FG, are drawn such that they divide the line segments AB and AC into three equal parts. What is the area of the quadrilateral DEGF?

Find the least number which when divided by 12, 15, 18 and 27 leaves remainders 10, 13, 16 and 25 respectively.

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 50°, then what is the value (in degrees) of ∠PBC?

PT is a tangent to a circle with centre O and radius 6 cm . If PT is 8 cm then length of OP is

If the difference between the measures of the two smaller angles of a right angled triangle is 8°, then the smallest angle is

If  x=2+32-3, then what is the value of x+1/x ?