Spheres of unit diameter are centered at ( $l, m, n$ ) where $l, m$ and $n$ take every possible integer values.

The distance between two spheres is computed from the center of one sphere to the center of the other sphere. For a given sphere, $x$ is the distance to its nearest sphere and $y$ is the distance to its next nearest sphere. The value of $\frac{y}{x}$ is :

In the given text, the blanks are numbered (i)–(iv). Select the best match for all the blanks.

Following a row ____(i) ______ the shopkeeper ____(ii) ______ the price of a frying pan, the cook stood ____(iii) ______ a row to withdraw cash _____(iv) ______ the ATM booth.

Altruism is the human concern for the well being of others. Altruism has been shown to be motivated more by social bonding, familiarity and identification of belongingness to a group. The notion that altruism may be attributed to empathy or guilt has now been rejected. Which one of the following is the CORRECT logical inference based on the information in the above passage?

The importance of sleep is often overlooked by students when they are preparing for exams. Research has consistently shown that sleep deprivation greatly reduces the ability to recall the material learnt. Hence, cutting down on sleep to study longer hours can be counterproductive.

Which one of the following statements is the CORRECT inference from the above passage?