Search results

O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise , E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of...

The function p(n) on non-negative integer n is defined in the following way: the units digit of n is the exponent of 2 in the prime factorization of p(n), the tens digit is the exponent of 3, and in general, for positive integer k, the digit in the place of n is the exponent on the k th...

In the expansion of , what is the coefficient of the term? A) 6 B) 12 C) 15 D) 18 E) 20

Two prime numbers are considered consecutive if no other prime lies between them on the number line. If p1 and p2 are consecutive primes, with |p1-p2|>2, what is the smallest possible absolute value of the coefficient of the x term in the distributed form of the expression (x-p1)(x-p2)? A) 5 B)...

Which of the following represents the complete range of x over which - 4 < 0? A) 0<|x|< 1/2 B) |x|> 1/2 C) -1/2<x<0 or 1/2 <x D) x< -1/2 or 0<x< 1/2 E) x< -1/2 or x>0

If x and y are both positive, is x greater than 4? 1) x>y 2) In the coordinate plane, the point (x,y) lies outside a circle of radius 5 centered at the origin. A) stmt 1 alone is sufficient, but stmt 2 alone is not sufficient. B) stmt 2 alone is sufficient, but stmt 1 alone is not sufficient...

If k is an integer and x(x-k) = k+1, what is the value of x? 1) x<k 2) x= 3-k

If , what is the value of x? A) 2 B) 4 C) 8 D) 12 E) 16

Is ? 1) 2) here are the five choices A) stmt 1 works but stmt 2 does not work B) stmt 2 works but stmt 1 does not work C) stmts do not work alone, but they do work together D) each stmt works by itself E) nothing works, not even using them together

The temperatures of a certain cup of coffee 10 minutes after it was poured was 120 degrees fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula , where F is in degrees Fahreheit and a is a constant , then the temperature of the coffee 30...

What is the average (arithmetic mean) of x,y and z? 1) 3x-2y+7z = 23 2) 4x-3y+5z = 5 and -x+6y-2z = 58

On the number line shown, is zero halfway between r and s? 1) s is to the right of zero 2) The distance between t and r is the same as the distance between t and -s. here are the five choices A) stmt 1 works but stmt 2 does not work B) stmt 2 works but stmt1 does not work C) the stmts do not...

In a certain bathtub, both the cold-water and the hot water fixtures leak. The cold water leak alone would fill an empty bucket in c hours, and the hot water leak alone would fill the same bucket in h hours, where c<h. If both fixtures began to leak at the same time into the empty bucket at...

Shannon and Maxine work in the same building and leave work at the same time. Shannon lives due north of work and Maxine lives due south. The distance between Maxine's house and Shannon's house is 60 miles. If they both drive home at the rate 2R miles per hour, Maxine arrives home 40 min after...

Is |x|>|y|? (1)> (2)x>y here are the five choices: (a)stmt 1 works but stmt 2 does not work (b) stmt 2 works but stmt 1 does not work (c) the stmts do not work alone, but they do work together (d)each stmt works by itself (e) nothing works, not even using them together

If wxyz does not equal 0, is w/x > y/z? (1) wz>xy (2) xz>0

What is the smallest positive integer that is a multiple of 18,20,24,25 and 30? (a)360 (b)900 (c)1800 (d)2400 (e)3600

For one toss of a certain coin the probability that the outcome is heads is 0.6. If the coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times? (A) (B) (C) (D) (E)

The area of circle O is added to its diameter. If the circumference of circle O is then subtracted from this total, the results is 4. What is the radius of the circle O? (A) -2/ (B) 2 (C) 3 (D) 4 (E) 5

(A) 1 (B) (C) (D) 18 (E) 20