0 votes
0 answers
2333
1 votes
1 answer
2345
1 votes
1 answer
2347
If $a, b, c$ are three positive integers such that $a$ and $b$ are in the ratio $3:4$ while $b$ and $c$ are in the ratio $2:1$, then which one of the following is a possi...
1 votes
1 answer
2348
1 votes
1 answer
2351
The points $\left ( 2,5 \right )$ and $\left ( 6,3 \right )$ are two end points of a diagonal of a rectangle. If the other diagonal has the equation $y=3x+c$, then $c$ is...
1 votes
1 answer
2354
$\text{ABCD}$ is a quadrilateral inscribed in a circle with centre $\text{O}$. If $\angle \text{COD} =120$ degrees and $\angle \text{BAC} = 30$ degrees, then the value of...
2 votes
1 answer
2355
Let $\text{ABCDEF}$ be a regular hexagon with each side of length $1$ cm. The area (in sq cm) of a square with $\text{AC}$ as one side is $3\sqrt{2}$$3$$4$$\sqrt{3}$
1 votes
1 answer
2356
Let $f\left ( x \right )=x^{2}$ and $g\left ( x \right )=2^{x}$, for all real $x$. Then the value of $ f \left ( f\left ( g\left ( x \right ) \right )+g\left( f\left ( x...
1 votes
1 answer
2357
If $x$ is a real number such that $\log_{3}5=\log_{5}\left ( 2+x \right )$, then which of the following is true?$0<x<3$$23<x<30$$x>30$$3<x<23$
1 votes
1 answer
2359
If three sides of a rectangular park have a total length $400$ ft, then the area of the park is maximum when the length (in ft) of its longer side is$299$$200$$201$$399$
1 votes
1 answer
2360
If the product of three consecutive positive integers is $15600$ then the sum of the squares of these integers is $1777$$1785$$1875$$1877$