Quantitative Aptitude - Arithmetic Ability Questions

let ABCD be the given parallelogram 

area of parallelogram ABCD = 2 x (area of triangle ABC) 

now a = 30m, b = 14m and c = 40m

 s=1/2 x (30+14+40) = 42 

Area of triangle ABC = ss-as-bs-c  

= 4212282= 168sq m 

area of parallelogram ABCD = 2 x 168 = 336 sq m

The given number series is 35, 36, 55, 111, ?

35

35 x 1 + 1 = 36

36 x 1.5 + 1 = 55

55 x 2 + 1 = 111

111 x 2.5 + 1 = 278.5

Hence, the next number in the given number series is 278.5.

Let original length = x and original breadth = y.

Original area = xy. 

New length = x/2 and New breadth=3y 

New area = 32xy 

Therefore,  Increase in area = New area-original area = 32xy-xy=12xy 

Therefore,  Increase % = increase in area original area*100=12xyxy*100=50 %