Ravi had __________ younger brother who taught at __________ university. He was widely regarded as _________ honorable man.

Select the option with the correct sequence of articles to fill in the blanks.

The CEO's decision to downsize the workforce was considered $$\underline {myopic} $$ because it sacrificed long-term stability to accommodate short-term gains.

Select the most appropriate option that can replace the word "myopic" without changing the meaning of the sentence.

The average marks obtained by a class in an examination were calculated as 30.8 . However, while checking the marks entered, the teacher found that the marks of one student were entered incorrectly as 24 instead of 42 . After correcting the marks, the average becomes 31.4. How many students does the class have?

Consider the relationships among $P, Q, R, S$, and $T$ :

$\bullet$ $P$ is the brother of $Q$.

$\bullet$ $S$ is the daughter of $Q$.

$\bullet$ $T$ is the sister of $S$.

$\bullet$ $R$ is the mother of $Q$.

The following statements are made based on the relationships given above.

(1) $R$ is the grandmother of $S$.

(2) $P$ is the uncle of $S$ and $T$.

(3)$R$ has only one son.

(4) $Q$ has only one daughter.

Which one of the following options is correct?

According to the map shown in the figure, which one of the following statements is correct?

Note: The figure shown is representative.

"I put the brown paper in my pocket along with the chalks, and possibly other things. I suppose every one must have reflected how primeval and how poetical are the things that one carries in one's pocket: the pocket-knife, for instance the type of all human tools, the infant of the sword. Once I planned to write a book of poems entirely about the things in my pocket. But I found it would be too long: and the age of the great epics is past."

(From G.K. Chesterton's "A Piece of Chalk")

Based only on the information provided in the above passage, which one of the following statements is true?

In the diagram, the lines QR and ST are parallel to each other. The shortest distance between these two lines is half the shortest distance between the point $P$ and line QR. What is the ratio of the area of the triangle PST to the area of the trapezium SQRT?

Note: The figure shown is representative.

A fair six-faced dice, with the faces labelled ' 1 ', ' 2 ', ' 3 ', ' 4 ', ' 5 ', and ' 6 ', is rolled thrice. What is the probability of rolling ' 6 ' exactly once?

A square paper, shown in figure (I), is folded along the dotted lines as shown in the figures (II) and (III). Then a few cuts are made as shown in figure (IV). Which one of the following patterns will be obtained when the paper is unfolded?

Note: The figures shown are representative.

A shop has 4 distinct flavors of ice-cream. One can purchase any number of scoops of any flavor. The order in which the scoops are purchased is inconsequential. If one wants to purchase 3 scoops of ice-cream, in how many ways can one make that purchase?