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Coordinate Geometry

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 ...

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

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: 110 Rank those three in order from smallest to biggest. I. 47/150 II. 111/350 III.299/900 Problem Solving 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 Data Sufficiency 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: 126 Overlapping Sets Problem Solving 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: 108 Fractions/Ratios/Decimals Problem Solving 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: 93 If AD is 6 and ADC is a right angle, what is the area of triangular region ABC? Data Sufficiency 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{...

by swerve

Sun Dec 26, 2021 12:16 pm
Forum: Data Sufficiency
Topic: If AD is 6 and ADC is a right angle, what is the area of triangular region ABC?
Replies: 1
Views: 95

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

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...

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

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...

The graph on the left represents the number of family members per family in Town X, while the graph on the right

Re: The graph on the left represents the number of family members per family in Town X, while the graph on the right

2021-06-18_22-30-29.png The graph on the left represents the number of family members per family in Town X, while the graph on the right represents the number of family members per family in Town Y. The median family size for Town X is equal to the median family size for Town Y. The horizontal and ...