Recent questions tagged cat1997

These questions are based on the following data:A thief flees City $A$ in a car towards City $B$ on a stretch of straight road, $300$ kilometres long, at the speed of $60...

In the given figure, $EADF$ is a rectangle and $ABC$ is a triangle whose vertices lie on the sides of $EADF$. $AE = 22,BE = 6,CF = l6$ and $BF = 2$. Find the length of th...

At Weird Holiday Company, an employee gets a holiday on those days whose first letter is the same as the first letter of the employee’s name. All other days are working d...

At Weird Holiday Company, an employee gets a holiday on those days whose first letter is the same as the first letter of the employee’s name. All other days are working d...

In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longe...

In a triangle $ABC$, points $P, Q$ and $R$ are the mid-points of the sides $AB, BC$ and $CA$ respectively. If the area of the triangle $ABC$ is $20$ sq units, find the ar...

The value of each of a set of silver coins varies as the square of its diameter if thickness remains constant, and it varies as the thickness if the diameter remains cons...

The adjoining figure shows a set of concentric squares.If the diagonal of the innermost square is $2$ units, and if the distance between the corresponding corners of any ...

P, Q and R are three consecutive odd numbers in ascending order. If the value of three times P is three less than two times R, find the value of R.$5$$7$$9$$11$

AB is the diameter of the given circle, while points C and D lie on the circumference as shown. If AB is $15$ cm, AC is $12$ cm and BD is $9$ cm, find the area of the qua...

If $m$ and $n$ are integers divisible by $5$, which of the following is not necessarily true?$m–n$ is divisible $5$.$m^{2}-n^{2}$ is divisible by $25$.$m+n$ is divisible ...

The sum of the areas of two circles which touch each other externally is $153\pi$. If the sum of their radii is $15$, find the ratio of the larger to the smaller radius.$...

If the roots, $x_{1}$ and $x_{2}$ of the quadratic equation $x^{2}-2x+c=0$ also satisfy the equation $7x_{2}-4x_{1}=47$, then which of the following is true? $c=-15$$x_{1...

$P$ and $Q$ are two integers such that $P \times Q = 64$. Which of the following cannot be the value of $P+Q$?$20$$65$$16$$35$

A candidate was asked to find $7/8$th of a positive number; he found $7/18$th of the same by mistake. If his answer was $770$ less than the correct one, then the original...

How many values of the natural number $n$ are possible so that the expression $(16n^{2}+7n+6)/n$ is also a natural number?Infinitely many$3$$4$None of thesed & c

After a discount of $11.11$%, a trader still makes a gain of $14.28$%. At how many percent above the cost price does he mark his goods?$28.56$% $35$%$22.22$%None of these

If $\log_{2}[ \log_{7} (x^{2}-x+37)]=1$ then what could be the value of $x$?$3$$5$$4$None of these$c$