What is the area (in square units) of the quadrilateral ABCD formed by the points A(0, 0), B(6, 0), C(8, 4) and D(2, in the x-y plane? a 40 b 32 c 56 d 48
Suppose that 40 women and 76 men are in a room and each of the women knows exactly M of the men and each of the men knows exactly W of the women where both M and W are greater than 1. (Assume that if a woman knows a man that man must know that woman and vice versa.) What is the smallest possible value for M+ W Choose one answer. a. 5 b. 19 c. 29 d. 10 e. None of these
An object in the plane moves from one lattice point to another. At each step, the object may move one unit to the right, one unit to the left, one unit up, or one unit down. If the object starts at the origin and takes a ten-step path, how many different points could be the final point? Choose one answer. a. 120 b. 121 c. 221 d. 230 e. 231
Suppose that 40 women and 76 men are in a room and each of the women knows exactly M of the men and each of the men knows exactly W of the women where both M and W are greater than 1. (Assume that if a woman knows a man that man must know that woman and vice versa.) What is the smallest possible value for M+ W
Choose one answer. a. 5 b. 19 c. 29 d. 10 e. None of these
If the proper divisors of the number are defined as the number of divisors except 1 and the number itself ( for example proper divisors of 12 are 2, 3, 4 and 6, but not 1 and 12), find how many numbers are possible whose biggest proper divisor is 29 times as big as the smallest proper divisor.
Choose one answer. a. 0 b. 1 c. 10 d. 11 e. infinity
How many natural numbers from 1 to 2011 has a sum of digits which is multiple of 5?
400 401 402 403
Sum of first n terms of an arithmetic progression is mn. Find the six times of sum of square of those n terms.
n(4n - 1)m n(4n + 1)m 2n(4n - 1)m 2n(4n + 1)m
ram and sham each arrive at a party at a random time between 1:00 and 2:00. If ram arrives after sham, what is the probability that sham arrived before 1:30?