SSC CPO QUANT REVISION BOOSTER QUIZ-7

O is the centre of a circle with diameter 20 cm . T is a point outside the circle and TA is a tangent to a circle. If OT = 26 cm, what is the length (in cm) of the tangent TA?

The bisector of $\angle B$ in $\triangle A B C$ meets $\mathrm{AC}$ at $\mathrm{D}$. If $\mathrm{AB}=12 \mathrm{~cm}, \mathrm{BC}=18 \mathrm{cm}$ and $\mathrm{AC}=15 \mathrm{~cm}$, then the length of $\mathrm{AD}$ (in $\mathrm{cm}$ ) is :

The angle of a triangle is in the ratio 5 : 6 : 7. What is the measure of the smallest angle ?

In a $\triangle \mathrm{PQR}, \angle \mathrm{Q}=90^{\circ}, \mathrm{PQ}=$ 10 and $P R=26$, then find the value of $\sec P+\operatorname{cosec} P$ .

Value of $\tan 855^{\circ} \cdot \cot 495^{\circ}$ is equal to

The area of a rectangle is equal to the area of a square whose diagonal is $4 \sqrt{6} \mathrm{~cm}$. If the ratio of the length and width of the rectangle is $4: 3$, then find the perimeter of the rectangle?

A alone can complete a work in 25 days and $B$ alone can complete the same work in 15 days. If $C$ is $60 \%$ less efficient than B, then find time taken by A and C together to complete the same work?

A train cross a pole in 25 seconds and a 240 meters long platform in 40 seconds. Find the length of the train?

The average age of four players is $18.5$ years. If the age of the coach is also included, the average age increases by $20 \%$. The age of the coach is :

If $\sqrt{\left(1+\frac{27}{169}\right)}=\left(1+\frac{x}{13}\right)$, then the value of $x$ is :