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TOPIC: TougherPSDefinitions
#2245
Vijay (User)
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TougherPSDefinitions 8 Months, 1 Week ago Karma: 3  
Archie, Betty and Coach bought a radio. Archie paid the least amount of money, Coach paid twice as much as Archie, and Betty paid the most. Archie paid seventy dollars less than the difference between what Betty and Coach paid. If Archie had paid twice as much as he did pay, Betty and Coach would have each paid ten dollars less. Which of the following equals the amount Betty paid?


40

90

130

140

Insufficient information


If x is a positive integer and each of the first 5 positive even integers is a factor of x, what is the least possible value of x?

120

240

480

1,920

3,840


In a sequence of 8 decreasing consecutive integers, the sum of the first 4 numbers in the sequence is 318. What is the sum of the last 4 numbers in the sequence?

302

314

317

318

319


If

-4 less than or equal to A less than or equal to 8
-7 less than or equal to B less than or equal to 6
-3 less than or equal to C less than or equal to 2


then the least possible value of AB+ BC =

49

- 42

- 70

- 72

- 74



Set Y contains 3 distinct positive integers, each of which has at least 3 positive integer factors. If x is the sum of the integers in Set Y, what is the least possible value of x?

6

10

12

14

18
 
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#2435
Vijay (User)
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Re:TougherPSDefinitions 8 Months ago Karma: 3  
No takers for above questions?????
 
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#2518
bhavin (Moderator)
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Re:TougherPSDefinitions 8 Months ago Karma: 25  
Vijay wrote:


[b]If x is a positive integer and each of the first 5 positive even integers is a factor of x, what is the least possible value of x?


120

240

480

1,920

3,840



Common Guys ...Try attempting these questions ...may be you could attempt few at a time, if time does not permit to attempt all at one go ...

I'll post approach for 1 ...try others ...

First 5 positive integers are 2,4,6,8,10
Hence, we are interestedin LCM of 2,4,6,8,10

Hence, Answer is 120 ...Option A ...


Else, for such question we could also begin from the smallest answer option and check which of the answer options matches our criteria !!

Keep Going !!
 
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#6356
JayS (User)
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Re:TougherPSDefinitions 1 Month, 2 Weeks ago Karma: 0  
Correct me if im wrong

1) 130
2) 120 - as bhavin explained
3) 302
4) -74
5) 6
 
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