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Let t1 represent the time Donald takes traveling at his normal speed, and t2 represent the time he takes when his speed is quartered. Since Donald is 4 times slower when his speed is quartered, his time is 4 times as long, thus t2 = 4t1.......... (1) We've also been told that it takes Donald 3 more ...

by jpcameron17

Fri Mar 01, 2019 3:52 pm
Forum: Data Sufficiency
Topic: the destination of Donald?
Replies: 1
Views: 410

1) x ≤ y This means that x could be equal to y, but it could also mean that x is less than y. The statement is therefore not sufficient. 2) |x| ≥ |y| If x = y, the |x| would also be equal to |y|. Since |x| could be greater than |y|, this statement is not sufficient. 1) + 2) Together This is not ...

by jpcameron17

Fri Mar 01, 2019 3:18 pm
Forum: Data Sufficiency
Topic: Is x = y? 1) x ≤ y 2) |x| ≥ |y|
Replies: 3
Views: 623

In order for m^2 + n^2 to be even, then either: a) m and n are both even, or b) m and n are both odd. 1) m > 10 All prime numbers (with the exception of 2) are odd, therefore m is odd. However, since we don't have enough information to know whether n is even or odd, we cannot determine whether m^2 +...

by jpcameron17

Fri Mar 01, 2019 3:08 pm
Forum: Data Sufficiency
Topic: If m and n are prime numbers, is m^2 + n^2 an even number?
Replies: 3
Views: 556

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This question requires us to weaken the assumption made between our conclusion and premise. Conclusion: The road safety association's proposal to alter the legislation so that it ceases to allow motorized two-wheelers the use of public roads will lead to an drastic decline in the overall number of f...


This sentence contains an incorrect comparison. If we simplify the sentence, we get: Unlike a female grizzly bear, a range will cover 200... We cannot compare a female bear to a range; we can only compare male bears to female bears, or the range of females to the range of males, i.e. we must make eq...


67500 = (2^2)*(3^3)*(5^4), which corresponds with (2^x)(3^y)(5^z). Thus 2 is divisible by x (i.e. x = 1 or x = 2), 3 is divisible by y (i.e. y = 1, y = 2, or y = 3), and 4 is divisible by z (i.e. z = 1, z = 2, z = 3, or z = 4). 54 = (2^1)*(3^3). Since (2^x)(3^y)(5^z) is not a multiple of 54, then x ...

by jpcameron17

Wed Feb 27, 2019 7:07 am
Forum: Problem Solving
Topic: If x, y, and z are integers such that 67500 is divisible by
Replies: 2
Views: 465

Could you please upload the image of the system described? It's impossible to answer the question otherwise.

by jpcameron17

Wed Feb 27, 2019 6:18 am
Forum: Problem Solving
Topic: In the rectangular coordinate system, what is the area of th
Replies: 3
Views: 526

reply

A prime number is a number whose factors a 1 and that number alone. For example, the number 11 is a prime number since its factors are only the numbers 1 and 11 (i.e. itself), whereas the number 12 is not a prime number since it has other factors besides 1 and 12 (e.g. 2, 3, 4, and 6). (1) y>4! This...

by jpcameron17

Wed Feb 27, 2019 6:12 am
Forum: Data Sufficiency
Topic: If y is a positive integer, is y prime?
Replies: 2
Views: 432

The easiest way to deal with questions that deal with remainders is to create a list of values that satisfy the remainder condition described. For example, if a question states that the remainder when x is divided by 5 is 3, then create a list of the possible values of x: x = 3, 8, 13, 18, 23, 28,.....


In order to know whether (m^n) is a perfect square, we need to know the values of m and n. From Statement (1), we can determine the possible values of m. Since 12,3m0 is a multiple of 4, then the sum of its digits must also be divisible by 4. For example, the number 35,789 is divisible by 4 since 32...

by jpcameron17

Wed Feb 27, 2019 5:50 am
Forum: Data Sufficiency
Topic: For positive integers m and n, is m^n a perfect square?
Replies: 2
Views: 492