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Re: A couple decides to have \(5\) children. Each child is equally likely to be a boy or a girl. What is the probability

A couple decides to have \(5\) children. Each child is equally likely to be a boy or a girl. What is the probability that the couple has exactly \(3\) girls and \(2\) boys? A. \(\dfrac1{32}\) B. \(\dfrac1{16}\) C. \(\dfrac5{32}\) D. \(\dfrac5{16}\) E. \(\dfrac16\) Answer: D Source: e-GMAT Number of...


Coordinate Geometry

Every point in the \(xy\)-plane satisfying the condition \(ax + by \geq c\) is said to be in region \(R\). If \(a, b\) and \(c\) are real numbers, does any point of region \(R\) lie in the third quadrant? 1) Slope of the line represented by \(ax + by – c = 0\) is \(2.\) 2) The line represented by \(...

by swerve

Mon Jan 17, 2022 4:31 pm
Forum: Data Sufficiency
Topic: Coordinate Geometry
Replies: 0
Views: 117

Mixture Problems

If a certain concrete mixture contains gravel, water, and sand in a 1 to 3 to 5 ratio by weight, how many pounds of gravel would be needed to produce 72 pounds of the mixture?

A. 72
B. 40
C. 24
D. 9
E. 8

The OA is E

Source: Princeton Review

by swerve

Mon Jan 17, 2022 4:27 pm
Forum: Problem Solving
Topic: Mixture Problems
Replies: 0
Views: 132

Algebra

A survey of potential voters was conducted to determine the likelihood that ordinance A would be passed. 40 percent of those surveyed indicated they were not likely to vote, while the remainder indicated that they were likely to vote. Of those who indicated they were likely to vote, 35 percent indic...

by swerve

Mon Jan 17, 2022 4:07 pm
Forum: Problem Solving
Topic: Algebra
Replies: 0
Views: 127

Re: 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 Bio...


Re: 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 For the...


Re: For a certain integer \(x,\) the units digit of \((x+2)^2\) is \(9.\) Which of the following could be the units digi

For a certain integer \(x,\) the units digit of \((x+2)^2\) is \(9.\) Which of the following could be the units digit of \(|x+1|?\) A. 0 B. 3 C. 4 D. 5 E. 7 Answer: C Source: Veritas Prep Unit digit on squaring any number can be 9 if and only if unit number of which we are squaring, must be either ...


Re: If n is a one-digit positive integer, what is n ?

If n is a one-digit positive integer, what is n ? (1) The units digit of 4^n is 4. (2) The units digit of n^4 is n. OA E Source: Manhattan Prep \(n={1,2,3,4,5,6,…9}\) 1) Insufficient \(4^n\) units \(4: n={1,5,9}\) 2) Insufficient \(n^4\) units \(n: n={1,5,6}\) 1 and 2 combined, insufficient \(n={1,...

by swerve

Sat Jan 08, 2022 8:19 am
Forum: Data Sufficiency
Topic: If n is a one-digit positive integer, what is n ?
Replies: 1
Views: 162

Re: Rank those three in order from smallest to biggest. I. 47/150 II. 111/350 III.299/900

Rank those three in order from smallest to biggest. I. 47/150 II. 111/350 III.299/900 (A) I, II, III (B) I, III, II (C) II, I, III (D) II, III, I (E) III, I, II OA A Source: Magoosh Let's analyze one by one, I. \(\dfrac{47}{150} = \dfrac{48}{150} - \dfrac{1}{150} = 0.32 - \dfrac{1}{150}\) II. \(\df...


Number Properties

2019-04-26_1312.png The 9 squares above are to be filled with x's and o's, with only one symbol in each square. How many of the squares will contain an x? 1) More than 1/2 of the number of squares will contain an o 2) Each of the 4 corner squares will contain an x The OA is C Source: Official Guide

by swerve

Fri Dec 31, 2021 5:17 am
Forum: Data Sufficiency
Topic: Number Properties
Replies: 1
Views: 202

Overlapping Sets

A company served bagels and coffee at a breakfast meeting. Of the 120 employees at the meeting, 50 ate bagels and 95 drank coffee. If 35 employees had both bagels and coffee, how many employees at the meeting had neither coffee nor bagels? A. 10 B. 15 C. 25 D. 30 E. 45 The OA is A Source: Princeton ...

by swerve

Fri Dec 31, 2021 5:05 am
Forum: Problem Solving
Topic: Overlapping Sets
Replies: 0
Views: 148

Fractions/Ratios/Decimals

All the widgets manufactured by Company X are stored in two warehouses, A and B. Warehouse A contains three times as many widgets as does warehouse B. If 1/15 of the widgets in warehouse A and 1/20 of the widgets in warehouse B are defective, what fraction of all the widgets are NOT defective? A. 1/...

by swerve

Fri Dec 31, 2021 4:59 am
Forum: Problem Solving
Topic: Fractions/Ratios/Decimals
Replies: 0
Views: 144

Re: If AD is 6 and ADC is a right angle, what is the area of triangular region ABC?

2.jpg If AD is 6 and ADC is a right angle, what is the area of triangular region ABC? (1) Angle ABD \(\,= 60^\circ\) (2) AC = 12 Answer: C Source: Manhattan GMAT 1) is not sufficient The left triangle becomes a \(90-30-60\) triangle however we don't know anything about the right triangle. \(\Large{...


Re: At a certain farm, all of the 240 animals are either cows or pigs, and 180 of the animals have been fed today....

At a certain farm, all of the 240 animals are either cows or pigs, and 180 of the animals have been fed today. There are 80 cows on the farm. If 45 of the pigs have not been fed today, how many of the cows have been fed today? A. 15 B. 45 C. 60 D. 65 E. 115 Answer: D Source: Manhattan GMAT There ar...


Re: Maria bought 4 black and a certain number of red and blue pencils at 15 cents each an carried them home in one bag.

Maria bought 4 black and a certain number of red and blue pencils at 15 cents each and carried them home in one bag. After Maria came home, she took out one pencil at random to write a note and then put the pencil back into the bag. Sometime later, she needed to write another note and again took ou...