Electrical Engineering: General Aptitude for GATE examination

For what values of 𝑘 given below is (k+2)²/(k-3) an integer?

The three roots of the equation 𝑓(𝑥) = 0 are 𝑥 = {−2, 0, 3}. What are the three values of 𝑥 for which 𝑓(𝑥 − 3) = 0?

“A common misconception among writers is that sentence structure mirrors thought; the more _________ the structure, the more complicated the ideas.”

The word that best fills the blank in the above sentence is

Since you have gone off the ________, the _________ sand is likely to damage the car.” The words that best fill the blanks in the above sentence are

How many integers are there between 100 and 1000 all of whose digits are even?