The features of five mobile communication devices are compared in the table. Each feature is rated from 0 to 5, with greater ratings indicating greater quality. A device (P) is said to be ratings-dominant over another device (Q) if P matches or exceeds the ratings of Q for every single feature in the table but Q does not match all of the ratings of P.
For each of the following devices, select Yes if the device is ratings-dominant over any of the other devices in the table. Otherwise, select No.
For each of Six ready-to-eat food products, the table shows a particular product tester’s ratings—ranging from strongly negative (1) to strongly positive (5)—in each of three categories.
Suppose that this product tester was to give ratings for a seventh ready-to-eat food product. For each of the following categories, select Yes if the addition of the ratings for the seventh product could change the median rating in that category. Otherwise, select No.
What is the sum of the terms in a certain sequence of consecutive integers?
(1) The least term in the sequence is 8.
(2) The average of (arithmetic mean) terms is 16.
If S is the sum of the first n positive integers, what is the value of n ?
(1) S < 20
(2) S2 > 220
If the infinite sequence, M, is defined as M1 = 6, M2 = 96, M3 = 996, … , Mk = 10k – 4, is every term in this sequence divisible by q, if q is an even number?
(1) q is less than 45.
(2) At least 2 terms in the sequence are divisible by q.
The range of the heights of the female students in a certain class is 30 centimeters, and the range of the heights of the male students in the class is 40 centimeters. What is the range of the heights of all the students in the class?
(1) The average (arithmetic mean) height of the male students in the class is 10 centimeters greater than the average height of the female students in the class.
(2) The shortest female student in the class is 15 centimeters shorter than the shortest male student in the class.
If 50 people paid a total of $110 for tickets to attend a certain high school play and spent a total of $100 for refreshments at intermission, how many adults attended the play?
(1) Each adult who attended the play paid $3 for tickets, and each child who attended paid $1 for tickets.
(2) Each adult who attended the play spent $2 for refreshments at intermission, and each child spent $2 for refreshments at intermission.
P, Q, R, S, T are five distinct positive multiples of 10 such that P < Q < R < S < T. These five numbers have a median of 100 and a range of 60. What is the value of T?
(1) Ratio of P:T is greater than 7:13.
(2) Q is not 80.
After the first term, each term in a sequence is five times greater than half the preceding term. If x is the first term of the sequence, and x does not equal zero, is the value of the fourth term minus the second term an integer?
(1) x is a multiple of 12.
(2) x is a multiple of 56.
Let x and y be two distinct digits in the decimal x.yx, what is x?
(1) When rounded to the nearest integer, the decimal becomes y
(2) When rounded to the nearest tenth, the decimal becomes x.y
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