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If x < y, which of the following must be true?

If x < y, which of the following must be true?

(A) x < y^2
(B) x^2 < y
(C) x^2 < y^2
(D) (x – y)^2 > 0
(E) x^3 > y



OA D

Source: Manhattan Prep

by BTGmoderatorDC

Mon Jan 17, 2022 6:17 pm
Forum: Problem Solving
Topic: If x < y, which of the following must be true?
Replies: 1
Views: 82

If N is a positive Integer, is the units digit of N equal to zero?

If N is a positive Integer, is the units digit of N equal to zero?

(1) 14 and 35 are factors of N
(2) N = (2^5)(3^2)(5^7)(7^6)


OA D

Source: GMAT Prep


Twelve years ago and again five years ago, there were extended periods when the Darfir Republic's currency, the pundra,

Twelve years ago and again five years ago, there were extended periods when the Darfir Republic's currency, the pundra, was weak: its value was unusually low relative to the world's most stable currencies. Both times a weak pundra made Darfir's manufactured products a bargain on world markets, and D...


A co. will select 2 of the 6 candidates available to work in 2 different positions in the Tech team and 3 of the 7

A co. will select 2 of the 6 candidates available to work in 2 different positions in the Tech team and 3 of the 7 candidates to work in the same position in the HR team. Find the number of ways in which the company can fill the position?

A.57
B. 65
C. 128
D. 256
E. 1050


OA E

Source: e-GMAT


In a freshman high school class there are 125 total students. If 75 of the total students are enrolled in Geometry,

In a freshman high school class there are 125 total students. If 75 of the total students are enrolled in Geometry, how many students are enrolled in Biology? (1) 50 of the total students are enrolled in Geometry but not Biology. (2) The number of those students who are enrolled in Geometry and Biol...


Lower courts generally accept what the higher courts say is true not only about the law but also rules of procedure.

Lower courts generally accept what the higher courts say is true not only about the law but also rules of procedure. A. Lower courts generally accept what the higher courts say is true not only about the law but also B. That lower courts generally accept what the higher courts say is true not only ...


Over the past three decades, the number of hospital beds available for inpatient psychiatric treatment in the United

Over the past three decades, the number of hospital beds available for inpatient psychiatric treatment in the United States has declined from 4 per 1,000 population to 1.3 per 1,000 population. Over the same period in Japan, beds increased from 1 per 1,000 population to 2.9 per 1,000 population. Als...


What is the greatest common factor of positive integers x and y?

What is the greatest common factor of positive integers x and y?

(1) The greatest common factor of x/2 and y/2 is 5.
(2) x and y are even.


OA A

Source: Princeton Review


Like the cult status of Rocky Horror Picture Show (1975), Ridley Scott's Blade Runner (1982) was all but ignored on its

Like the cult status of Rocky Horror Picture Show (1975), Ridley Scott's Blade Runner (1982) was all but ignored on its initial release, only to become a long-term blockbuster because of its devoted fan base. A) Like the cult status of Rocky Horror Picture Show (1975) B) As the Rocky Horror Picture...


Adam will spend $4,000 to rent a booth at the town’s annual county fair to promote his new Sandwich Shoppe. In previous

Adam will spend $4,000 to rent a booth at the town’s annual county fair to promote his new Sandwich Shoppe. In previous years, the average food booth at the fair served 400 customers. Thus, in order to cover his costs, Adam has calculated that he must sell 400 sandwiches for $10 each. Which of the f...


If the President and Vice President must sit next to each other in a row with 4 other members of the Board, how many

If the President and Vice President must sit next to each other in a row with 4 other members of the Board, how many different seating arrangements are possible?

(A) 120
(B) 240
(C) 300
(D) 360
(E) 720



OA B

Source: Veritas Prep


Of the N candies in a bag, some are peppermint and the rest are spearmint.What is the value of N?

Of the N candies in a bag, some are peppermint and the rest are spearmint.What is the value of N? (1) If 1 peppermint candy were removed from the N candies,1/5 of the remaining candies would be peppermint. (2) If 2 spearmint candies were removed from the N candies, 1/4 of the remaining candies would...


Although some doctors believe that the drug can have positive effects when taken sporadically, most agree that the

Although some doctors believe that the drug can have positive effects when taken sporadically, most agree that the medicine is effective only if it is administered in a single, concentrated dose. (A) only if it is administered in a single, concentrated dose (B) if it was administered only in a singl...