Quantitative Aptitude - Arithmetic Ability Questions

In the following question, select the odd letter/letters from the given alternatives.

The sum of digits of a two-digit number is 9. When the digits are reversed, the number decreases by 45. Find the changed number.

If x2 + ax + b, when divided by x - 3, leaves a remainder of 22 and x2 + bx +a, when divide by x - 3, leaves a remainder of 24, then a + b = ?

If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?

A cylinder of radius 4.5 cm and height 12 cm just fits in another cylinder completely with their axis perpendicular. What is the radius (in cm) of second cylinder?

If a+1a=1,then the value of a2-a+1a2+a+1 is a≠0

If the length of the shadow of a vertical pole be √3 times the height of the pole, the angle of elevation of the sun is:­

If a person bought an item for Rs. 96 and sold it at a profit of 12.5%, the selling price of the item was