In triangle ABC, $\angle ABC$ = $15 ^{0}$.D is a point on BC such that AD = BD. What is the measure of $\angle ADC $(in degrees)?
1). 15
2). 30
3). 45
4). 60
In triangle ABC, AD, BE and CF are the medians intersecting at point G and area of triangle ABC is 156 sq.cm. What is the area (in sq.cm) of triangle FGE?
1). 13
2). 26
3). 39
4). 52
If $x^{2} + x$ = 19 ,then what is the value of $(x + 5)^{2} + \left[\frac{1}{(x + 5)^{2}}\right]$
1). 77
2). 79
3). 81
4). 83
If $x + \left[\frac{1}{(4x)}\right] $=$\frac{5}{2}$, then what is the value of $\frac{(64x^{6} + 1)}{8x^{3}}$?
1). 110
2). 115
3). 125
4). 140
If $3x + \left[\frac{1}{5x}\right]$ = 7, then what is the value of$ \frac{5x}{(15x^{2} + 15x + 1)}$?
1). $\frac{1}{5}$
2). $\frac{1}{10}$
3). $\frac{2}{5}$
4). 10