In an engineering college of 10,000 students, 1,500 like neither their core branches nor other branches. The number of students who like their core branches is 1/4th of the number of students who like other branches. The number of students who like both their core and other branches is 500.
The number of students who like their core branches is
For positive non-zero real variables $x$ and $y$, if
$\ln \left( \frac{x + y}{2} \right) = \frac{1}{2} [ \ln (x) + \ln (y) ]$
then, the value of $\frac{x}{y} + \frac{y}{x}$ is
In the sequence 6, 9, 14, $x$, 30, 41, a possible value of $x$ is
Sequence the following sentences in a coherent passage.
P: This fortuitous geological event generated a colossal amount of energy and heat that resulted in the rocks rising to an average height of 4 km across the contact zone.
Q: Thus, the geophysicists tend to think of the Himalayas as an active geological event rather than as a static geological feature.
R: The natural process of the cooling of this massive edifice absorbed large quantities of atmospheric carbon dioxide, altering the earth’s atmosphere and making it better suited for life.
S: Many millennia ago, a breakaway chunk of bedrock from the Antarctic Plate collided with the massive Eurasian Plate.