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

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

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

Source: Veritas Prep

If $$|a + 5| = |b + 5|$$ what is the value of $$a + b?$$

If $$|a + 5| = |b + 5|$$ what is the value of $$a + b?$$

If $$|a + 5| = |b + 5|$$ what is the value of $$a + b?$$

(1) $$b > 5$$ and $$a < 5$$

(2) $$b = 10$$

Source: Veritas Prep

by VJesus12

Thu Jan 13, 2022 5:10 am
Forum: Data Sufficiency
Topic: If $$|a + 5| = |b + 5|$$ what is the value of $$a + b?$$
Replies: 0
Views: 71

If $$x$$ is a negative integer and $$2 < x^2 < 36,$$ what is the least possible value of $$|2x + 11|?$$

If $$x$$ is a negative integer and $$2 < x^2 < 36,$$ what is the least possible value of $$|2x + 11|?$$

If $$x$$ is a negative integer and $$2 < x^2 < 36,$$ what is the least possible value of $$|2x + 11|?$$

A. 7
B. 5
C. 3
D. 1
E. 0

Source: GMAT Club Tests

If the average (arithmetic mean) of six different numbers is 25, how many of the numbers are greater than 25?

If the average (arithmetic mean) of six different numbers is 25, how many of the numbers are greater than 25?

If the average (arithmetic mean) of six different numbers is 25, how many of the numbers are greater than 25?

(1) None of the six numbers is greater than 50.

(2) Three of the six numbers are 7, 8, and 9, respectively.

Source: Manhattan GMAT

There are $$50$$ children in $$2nd$$ grade at Venn Middle School. $$40\%$$ of those kids play only soccer and $$30\%$$

There are $$50$$ children in $$2nd$$ grade at Venn Middle School. $$40\%$$ of those kids play only soccer and $$30\%$$

There are $$50$$ children in $$2nd$$ grade at Venn Middle School. $$40\%$$ of those kids play only soccer and $$30\%$$ play only baseball. If $$20\%$$ play neither, how many play both?

A. 0
B. 5
C. 10
D. 15
E. 20

Source: Veritas Prep

All boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over. After 60 additional

All boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over. After 60 additional

All boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over. After 60 additional boxes arrived and no boxes were removed, all the boxes in the warehouse were arranged in stacks of 14 boxes each, with no boxes left over. How many boxes were in the warehouse befo...

All the homes for sale in a certain community are either colonial or ranch style, and either white or blue. $$40\%$$ of

Last month, company $$X$$ sold three-quarters of the widgets it produced, including two-thirds of its curved widgets. If

Last month, company $$X$$ sold three-quarters of the widgets it produced, including two-thirds of its curved widgets. If three-fifths of the widgets that it produces each month are curved, what percent of the widgets that were not sold last month were curved? A. $$60\%$$ B. $$70\%$$ C. $$75\%$$ D. \...

If the quadrilateral $$PQRS$$ can be completely inscribed in a circle $$C$$ with $$PR$$ passing through the center of

If the quadrilateral $$PQRS$$ can be completely inscribed in a circle $$C$$ with $$PR$$ passing through the center of

If the quadrilateral $$PQRS$$ can be completely inscribed in a circle $$C$$ with $$PR$$ passing through the center of the circle $$O,$$ then what is the measure of the area of the quadrilateral $$PQRS?$$

1. $$PQ = QR,$$ and $$PR$$ is $$4$$ units long.

2. $$PS = 2\sqrt2$$

Source: e-GMAT

Paul drove 50 miles north, then changed direction and drove 120 miles east. At the end of this trip, how far was he from

Paul drove 50 miles north, then changed direction and drove 120 miles east. At the end of this trip, how far was he from

Paul drove 50 miles north, then changed direction and drove 120 miles east. At the end of this trip, how far was he from his starting point?

A. 70 miles
B. 110 miles
C. 130 miles
D. 150 miles
E. 170 miles

Source: Magoosh

In a two-month survey of shoppers, each shopper bought one of two brands of detergent, $$X$$ or $$Y,$$ in the first mont

In a two-month survey of shoppers, each shopper bought one of two brands of detergent, $$X$$ or $$Y,$$ in the first mont

In a two-month survey of shoppers, each shopper bought one of two brands of detergent, $$X$$ or $$Y,$$ in the first month and again bought one of these brands in the second month. In the survey, $$90$$ percent of the shoppers who bought Brand $$X$$ in the first month bought Brand $$X$$ again in the ...

A marketing survey of Anytown found that the ratio of trucks to sedans to motorcycles was 3:7:2, respectively. Given

A marketing survey of Anytown found that the ratio of trucks to sedans to motorcycles was 3:7:2, respectively. Given

A marketing survey of Anytown found that the ratio of trucks to sedans to motorcycles was 3:7:2, respectively. Given that there are 12,600 sedans in Anytown, how many motorcycles are there?

A. 1260
B. 2100
C. 3600
D. 4200
E. 5200

Source: Manhattan GMAT

If $$m$$ and $$n$$ are positive integers, is $$m + n$$ divisible by $$4?$$

If $$m$$ and $$n$$ are positive integers, is $$m + n$$ divisible by $$4?$$

If $$m$$ and $$n$$ are positive integers, is $$m + n$$ divisible by $$4?$$

(1) $$m$$ and $$n$$ are each divisible by $$2.$$

(2) Neither $$m$$ nor $$n$$ is divisible by $$4.$$

Source: Official Guide

by VJesus12

Wed Jan 12, 2022 10:46 am
Forum: Data Sufficiency
Topic: If $$m$$ and $$n$$ are positive integers, is $$m + n$$ divisible by $$4?$$
Replies: 0
Views: 60

A number is said to be prime saturated if the product of all the different positive prime factors of $$n$$ is less than

A number is said to be prime saturated if the product of all the different positive prime factors of $$n$$ is less than

A number is said to be prime saturated if the product of all the different positive prime factors of $$n$$ is less than the square root of $$n.$$ What is the greatest two-digit prime saturated integer?

A. 99
B. 98
C. 97
D. 96
E. 95