Kiran Expert Team Solutions for Chapter: Mock Test Model Practice Set, Exercise 59: Quantitative Aptitude

$AB$ is a tangent to a circle with center $O$. If the radius at the circle is $7 cm$ and the length of $AB$ is $24 cm$, then what is the length (in $cm$.) of $OA$?

Two equal tangents $PA$ and $PB$ are drawn from an external point $P$ on a circle with centre $O$. What is the length of each tangent if $P$ is $12 cm$ from the centre and the angle between the tangents is ${120}^o$?

The sides of a right angled triangle $ABC$ are $a, b$ and $c$, where $c$ is the hypotenuse. What will be the radius of the in-circle of this triangle?

If $a+b=2c$, find $\frac{a}{a-c}+\frac{c}{b-c}$

Ramesh borrowed a sum at $5\%$ per annum simple interest from Rahul. He returns the amount after $5$ years. Rahul returns $2\%$ of the total amount received. How much did Ramesh borrowed if he received $Rs. 5$?

A room $16 m 5 cm$ long and $15 m$ broad is to be fitted with equal square tiles. How many largest possible tiles are required so that they exactly fit?

An amount of $Rs.380$ is to be divided among $5$ men, $8$ boys and $4$ women such that the ratio of amount received by the three is in the ratio of $8:4:7$. What is the share of a woman?

A number when divided by $729$ gives a remainder of $56$. What will we get as remainder if the same number is divided by $27$?