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Is \(x^2 + y^2 > 100?\)

Is \(x^2 + y^2 > 100?\)

\((1)\, 2xy < 100\)
\((2)\, (x + y)^2 > 200\)

Answer: B

Source: Veritas Prep

by M7MBA

Sun Jan 16, 2022 2:03 pm
Forum: Data Sufficiency
Topic: Is \(x^2 + y^2 > 100?\)
Replies: 0
Views: 74

Amy deposited $1,000 into an account that earns 8% annual interest compounded every 6 months. Bob deposited $1,000...

Amy deposited $1,000 into an account that earns 8% annual interest compounded every 6 months. Bob deposited $1,000 into an account that earns 8% annual interest compounded quarterly. If neither Amy nor Bob makes any additional deposits or withdrawals, in 6 months how much more money will Bob have in...


A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the jo

A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the job, how many quarts of green paint are needed? (1) The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3. (2) The ratio of the a...


Is \(\dfrac{5^{x+2}}{25}<1?\)

Is \(\dfrac{5^{x+2}}{25}<1?\)

(1) \(5^x<1\)
(2) \(x<0\)

Answer: D

Source: Official Guide

by M7MBA

Sun Jan 16, 2022 12:14 pm
Forum: Data Sufficiency
Topic: Is \(\dfrac{5^{x+2}}{25}<1?\)
Replies: 0
Views: 78

If \(c\ne -5,\) then \(\dfrac{5ab+abc}{abc^2+10abc+25ab}\) is equivalent to which of the following?

If \(c\ne -5,\) then \(\dfrac{5ab+abc}{abc^2+10abc+25ab}\) is equivalent to which of the following?

(A) \(\dfrac1{(c+5)^2}\)

(B) \(c+5\)

(C) \(\dfrac1{c+5}\)

(D) \(c-5\)

(E) \(\dfrac1{c-5}\)

Answer: C

Source: Manhattan GMAT


What distance did Jane travel?

What distance did Jane travel?

(1) Bill traveled 40 miles in 40 minutes.

(2) Jane traveled at the same average rate as Bill.

Answer: E

Source: Official Guide

by M7MBA

Sun Jan 16, 2022 12:07 pm
Forum: Data Sufficiency
Topic: What distance did Jane travel?
Replies: 1
Views: 75

If \(y=(x-5)^2+(x+1)^2-6,\) then \(y\) is least when \(x =\)

If \(y=(x-5)^2+(x+1)^2-6,\) then \(y\) is least when \(x =\)

A. -2
B. -1
C. 0
D. 2
E. None of the above

Answer: D

Source: Official Guide

by M7MBA

Sun Jan 16, 2022 12:06 pm
Forum: Problem Solving
Topic: If \(y=(x-5)^2+(x+1)^2-6,\) then \(y\) is least when \(x =\)
Replies: 0
Views: 73

What is the surface area of rectangular solid \(y?\)

What is the surface area of rectangular solid \(y?\)

(1) The dimensions of one face of rectangular solid \(y\) are \(2\) by \(3.\)
(2) The area of another face of rectangular solid \(y\) is \(6.\)

Answer: E

Source: Princeton Review

by M7MBA

Sun Jan 16, 2022 12:02 pm
Forum: Data Sufficiency
Topic: What is the surface area of rectangular solid \(y?\)
Replies: 0
Views: 69

Each bead in an urn is marked with a distinct positive integer and colored according to that integer’s remainder after

Each bead in an urn is marked with a distinct positive integer and colored according to that integer’s remainder after division by 5, as shown in the following table: Remainder - Color 0 -------------- Red 1 -------------- Blue 2 -------------- Green 3 -------------- Yellow 4 -------------- Orange F...


Is \(\dfrac{r}{s^2}\) a terminating decimal?

Is \(\dfrac{r}{s^2}\) a terminating decimal?

(1) \(s=225\)
(2) \(r=81\)

Answer: C

Source: GMAT Club Tests

by M7MBA

Fri Jan 14, 2022 9:20 am
Forum: Data Sufficiency
Topic: Is \(\dfrac{r}{s^2}\) a terminating decimal?
Replies: 0
Views: 88

At a certain school, the ratio of the number of second graders to the number of fourth-graders is 8 to 5, and the ratio

At a certain school, the ratio of the number of second graders to the number of fourth-graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third-graders to the number of fourth-graders is 3 to 2, what is the ratio o...


If \(an \ne 0\) and \(n\) is a positive integer, is \(n\) odd?

If \(an \ne 0\) and \(n\) is a positive integer, is \(n\) odd?

(1) \(a^n + a^{n + 1} < 0\)

(2) \(a\) is an integer.

Answer: C

Source: Manhattan GMAT

by M7MBA

Fri Jan 14, 2022 9:17 am
Forum: Data Sufficiency
Topic: If \(an \ne 0\) and \(n\) is a positive integer, is \(n\) odd?
Replies: 0
Views: 79

At what simple annual interest rate must \(\$2,500\) be invested if it is to earn \(\$225\) in interest in one year?

At what simple annual interest rate must \(\$2,500\) be invested if it is to earn \(\$225\) in interest in one year?

(A) \(6\%\)
(B) \(7\%\)
(C) \(8\%\)
(D) \(9\%\)
(E) \(10\%\)

Answer: D

Source: GMAT Prep


\(P=a^4\cdot b^7,\) where \(a^2=1\) and \(b^2=9.\) What is the value of \(P?\)

\(P=a^4\cdot b^7,\) where \(a^2=1\) and \(b^2=9.\) What is the value of \(P?\)

(1) \(a < 0\)
(2) \(b < 0\)

Answer: B

Source: Magoosh


Set \(X = \{a, b, c, d, 9\},\) where \(a, b, c, d\) and \(9\) are five distinct positive integers. If \(9\) is the only

Set \(X = \{a, b, c, d, 9\},\) where \(a, b, c, d\) and \(9\) are five distinct positive integers. If \(9\) is the only odd integer in the set, what is the average (arithmetic mean) of set \(X?\) (1) The standard deviation of set \(X\) is \(2.\) (2) The range of \(\{a, b, c\}\) is \(4\) and the aver...