A student appearing for an exam is declared to have failed the exam if his/ her score is less than half the median score. This implies

• 1/4  of the students appearing for the exam always fail.

• if a student scores less than 1/4 of the maximum score, he/ she always fails.

• if a student scores more than 1/2 of the maximum score, he/ she always passes.

• it is possible that no one fails.

142.

Of the following, which is the odd one out?

• Cone

• Torus

• Sphere

• Ellipsoid

"My friend Raju has more than 1000 books", said Ram. "Oh no, he has less than 1000 books", said Shyam. "Well, Raju certainly has at least one book", said Geeta. If only one of these statements is true, how many books does Raju have?

• 1

• 1000

• 999

• 1001

It takes 5 days for a steamboat to travel from A to B along a river. It takes 7 days to return from B to A. How many days will it take for a raft to drift from A to B (all speeds stay constant)?

• 13

• 35

• 6

• 12

An infinite number of identical circular disc each of radius $\frac{1}{2}$ are tightly packed such that the centres of the discs are at integer values of coordinates x and y. The ratio of the area of the uncovered patches to total area is

• 1 - $\mathrm{\pi }$/ 4

• $\mathrm{\pi }$/ 4

• 1 - $\mathrm{\pi }$

• $\mathrm{\pi }$