Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. LQ and SR are perpendiculars to AB abd CD respectively. Radius of circle is 5 cm, PB : PA = 2 : 3 and CN: ND = 2 : 3. What is the length (in cm) of SM ?

What is the sum of a3+b3+c3-3abc, when the value of a=4, b=2 and c=-6?

What is the Number of candidates who had applied if the ratio of selected to unselected was 14 : 25. If 35 less had applied and 10 less selected, the ratio of selected to unselected would have been 3 : 5?

If A = 400 and B = 600, then A is how much percentage less than B?

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

Reduce 3596 / 4292 to lowest terms.

The least value of tan2x + cot2x is

In which of the following quadrilaterals both pairs of opposite sides are parallel?