271.

Let m and n be two positive integers such that

m + n + mn = 118

Then the value of m + n is

• not uniquely determined

• 18

• 20

• 22

AB is the diameter of a circle. The chord CD is perpendicular to AB intersecting it at P. If CP = 2 and PB = 1, the radius of the circle is

• 1

• 2.5

• 2

• 5

What is angle x in the schematic diagram given below?

• 60

• 50

• 40

• 30

From a group of 40 players, a cricket team of 11 players is chose. Then, one of the eleven is chosen as the captain of the team. The total number of ways this can be done is

[$\left(\begin{array}{c}\mathrm{m}\\ \mathrm{n}\end{array}\right)$ below means the number of ways n objects can be chosen from m objects]

• $\left(\begin{array}{c}40\\ 11\end{array}\right)$

• 11$\left(\begin{array}{c}40\\ 11\end{array}\right)$

• 29$\left(\begin{array}{c}40\\ 11\end{array}\right)$

• $\left(\begin{array}{c}39\\ 10\end{array}\right)$

Starting from a point A you fly one mile south, then one mile east, then one mile north which brings you back to point A. Point A is NOT the north pole. Which of the following MUST be true?

• You are in the Northern Hemisphere

• You are in the Eastern Hemisphere

• You are in the Western Hemisphere

• You are in the Southern Hemisphere

A 3 m long car goes past a 4 m long truck at rest on the road. The speed of the car is 7m/s. The time taken to go past is

• 4/7 s

• 1 s

• 7/4 s

• 10/7 s

Jar W contains 40 white marbles and jar B contains 40 black marbles. Ten black marbles from B are transferred to W and mixed thoroughly. Now, ten randomly selected marbles from W are put back in Jar B to make 40 marbles in each jar. The number of black marbles in W.

• would be equal to the number of white marbles in B

• would be more than the number of white marbles in B.

• would be less than the number of white marbles in B

• cannot be determined from the information given

Consider 3 parallel strips of 10 m width running around the Earth, parallel to the equator; A₁ at the Equator, A₂ at the Tropic of Cancer and A₃ at the Arctic Circle. The order of the areas of the strips is

• A₁ < A₂ < A₃

• A₁ = A₂ > A₃

• A₁ > A₂ = A₃

• A₁ > A₂ > A₃

If,

aN → S

eF → I

gH → M

Then, nS → ?

• T

• A

• L

• K

How many non-negative integers less than 10,000 are there such that the sum of the digits of the number is divisible by three?

• 1112

• 2213

• 2223

• 3334