Quantitative Aptitude - Arithmetic Ability Questions

If a+1b=1 and b+1c=1 , then the value of c+1a is

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

If 3a+4b3c+4d = 3a-4b3c-4d, then 

The value of 8(sin6θ + cos6θ) - 12(sin4θ + cos4θ) is equal to

The value of 2.31 x 0.34 = ?

In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

The length of the diagonal and the breadth of a rectangle is 13 cm and 5 cm respectively. Calculate its area (in cm²).