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gmatophobia
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Practice Questions Chat 08 Dec 2022, 03:20
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PS Question 1 - Nov 18

Let P = 36000. Let Q equal the sum of all the factors of 36000, not including 36000 itself. Let R be the sum of all the prime numbers less than 36000. Rank the numbers P, Q, and R in numerical order from smallest to biggest.

(A) P, Q, R
(B) P, R, Q
(C) Q, P, R
(D) R, P, Q
(E) R, Q, P

Source: Magoosh | Difficulty: Hard
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Practice Questions Chat 08 Dec 2022, 04:28
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gmatophobia
PS Question 1 - Nov 18

Let P = 36000. Let Q equal the sum of all the factors of 36000, not including 36000 itself. Let R be the sum of all the prime numbers less than 36000. Rank the numbers P, Q, and R in numerical order from smallest to biggest.

(A) P, Q, R
(B) P, R, Q
(C) Q, P, R
(D) R, P, Q
(E) R, Q, P

Source: Magoosh | Difficulty: Hard
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c
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Practice Questions Chat 08 Dec 2022, 04:32
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How can it be C? Q is definitely bigger than P. Factors of 36000 include 18k, 12k, 9k, 6k and many others. Even adding these 4 factors yields a number > 36000
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Practice Questions Chat Updated on: 08 Dec 2022, 04:35
Originally posted by mysterymanrog on 08 Dec 2022, 04:34.
Last edited by mysterymanrog on 08 Dec 2022, 04:35, edited 1 time in total.
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kungfury42
How can it be C? Q is definitely bigger than P. Factors of 36000 include 18k, 12k, 9k, 6k and many others. Even adding these 4 factors yields a number > 36000
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I personally would have gone with E

just an intutive guess

oh wait smallest to biggest, i mean A
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Practice Questions Chat 08 Dec 2022, 04:36
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Don’t know the OA but it’s gotta be A.
Q > P as described above.

Also, there will be several prime numbers between 30k and 36k, and even adding 4 or 5 them
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Practice Questions Chat 08 Dec 2022, 04:36
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kungfury42
Don’t know the OA but it’s gotta be A.
Q > P as described above.

Also, there will be several prime numbers between 30k and 36k, and even adding 4 or 5 them
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Yeah I mixed the order up
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Practice Questions Chat 08 Dec 2022, 04:36
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*** 4 or 5 of them would yield something bigger than Q
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Practice Questions Chat 08 Dec 2022, 04:36
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the primes are for sure the largest - even just imagning the set its huge
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Practice Questions Chat 08 Dec 2022, 04:37
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I did 0 calculation for this though

so I would be surprised if A is right
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Practice Questions Chat 08 Dec 2022, 04:37
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I would be surprised if it’s not haha
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Practice Questions Chat 08 Dec 2022, 04:37
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problems like this.. you either solve a similar question with smaller numbers or use number sense
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Practice Questions Chat 08 Dec 2022, 04:38
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Yes, that 36k cannot be taken literally and calculations be done mathematically. What if it is 128654473869 xD
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Practice Questions Chat Updated on: 08 Dec 2022, 04:41
Originally posted by mysterymanrog on 08 Dec 2022, 04:38.
Last edited by mysterymanrog on 08 Dec 2022, 04:41, edited 1 time in total.
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mysterymanrog
problems like this.. you either solve a similar question with smaller numbers or use number sense
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you could try making the same set for 360, and it should be the same sol as 36000

i also think for non prime numbers the sum of factors excl. itself is larger for integers >20

just doing some quick calculations
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Practice Questions Chat 08 Dec 2022, 06:47
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Harry, Jacob and Oliver packed several cartons with toys. The number of cartons packed by Harry was three-fifths of the number of cartons packed by Jacob which was two-thirds of the cartons packed by Oliver. What is the ratio of the number of cartons packed by Harry, Jacob and Oliver?
(A) 5:10:12
(B) 5:12:10
(C) 6:10:9
(D) 6:10:15
(E) 12:10:15
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Practice Questions Chat Updated on: 08 Dec 2022, 07:10
Originally posted by mysterymanrog on 08 Dec 2022, 07:09.
Last edited by mysterymanrog on 08 Dec 2022, 07:10, edited 1 time in total.
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Arya1556
Harry, Jacob and Oliver packed several cartons with toys. The number of cartons packed by Harry was three-fifths of the number of cartons packed by Jacob which was two-thirds of the cartons packed by Oliver. What is the ratio of the number of cartons packed by Harry, Jacob and Oliver?
(A) 5:10:12
(B) 5:12:10
(C) 6:10:9
(D) 6:10:15
(E) 12:10:15
Show more
Is this question written correctly?

Arya1556
Harry, Jacob and Oliver packed several cartons with toys. The number of cartons packed by Harry was three-fifths of the number of cartons packed by Jacob which was two-thirds of the cartons packed by Oliver. What is the ratio of the number of cartons packed by Harry, Jacob and Oliver?
(A) 5:10:12
(B) 5:12:10
(C) 6:10:9
(D) 6:10:15
(E) 12:10:15
Show more
Should be D?
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Practice Questions Chat Updated on: 08 Dec 2022, 07:35
Originally posted by AbhinavKumar on 08 Dec 2022, 07:31.
Last edited by AbhinavKumar on 08 Dec 2022, 07:35, edited 1 time in total.
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Arya1556
Harry, Jacob and Oliver packed several cartons with toys. The number of cartons packed by Harry was three-fifths of the number of cartons packed by Jacob which was two-thirds of the cartons packed by Oliver. What is the ratio of the number of cartons packed by Harry, Jacob and Oliver?
(A) 5:10:12
(B) 5:12:10
(C) 6:10:9
(D) 6:10:15
(E) 12:10:15
Show more
is it D ?

Also, you forgot to mention source of the question

kungfury42
How can it be C? Q is definitely bigger than P. Factors of 36000 include 18k, 12k, 9k, 6k and many others. Even adding these 4 factors yields a number > 36000
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yeah... OA must be (A)
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Practice Questions Chat Updated on: 08 Dec 2022, 09:25
Originally posted by gmatophobia on 08 Dec 2022, 09:24.
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PS Question 2 - Dec 08

Jane started baby-sitting when she was 18 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 10 years ago. What is the current age of the oldest person for whom Jane could have baby-sat?

A. 20
B. 21
C. 22
D. 23
E. 24

Source: Manhattan GMAT | Difficulty: Hard

DS Question 2 - Dec 08

Triangles ABC and DEF are similar right triangles. If the hypotenuse of triangle DEF has a length of 20, what is the length of the hypotenuse of triangle ABC?

(1) The ratio of the perimeter of ABC to the area of ABC is the reciprocal of the ratio of the perimeter of DEF to the area of DEF.
(2) One of the legs in triangle DEF has a length of 12.

Source: Manhattan GMAT | Difficulty: Hard
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Practice Questions Chat Updated on: 08 Dec 2022, 09:58
Originally posted by AbhinavKumar on 08 Dec 2022, 09:50.
Last edited by AbhinavKumar on 08 Dec 2022, 09:58, edited 1 time in total.
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gmatophobia
PS Question 2 - Dec 08

Jane started baby-sitting when she was 18 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 10 years ago. What is the current age of the oldest person for whom Jane could have baby-sat?

A. 20
B. 21
C. 22
D. 23
E. 24

Source: Manhattan GMAT | Difficulty: Hard
Show more
lets chart out the timeline

(9 = max age of a child she baby-sat)->18--(4yrs elapsed)--22 --(10yrs elapsed)->32(current timeline)

so current age of oldest baby = 9+4+10 = 23

option D ?

AbhinavKumar
gmatophobia
PS Question 2 - Dec 08

Jane started baby-sitting when she was 18 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 10 years ago. What is the current age of the oldest person for whom Jane could have baby-sat?

A. 20
B. 21
C. 22
D. 23
E. 24

Source: Manhattan GMAT | Difficulty: Hard
lets chart out the timeline

(9 = max age of a child she baby-sat)->18--(4yrs elapsed)--22 --(10yrs elapsed)->32(current timeline)

so current age of oldest baby = 9+4+10 = 23

option D ?
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Writing again because previous explanation may seem a little unorganized - the baby age of 9yrs and jane being 18 at that time is a simultaneous condition, so as Jane’s age jumps from 18 to 32 (i.e 14 yrs elapsed), so does this passing of time happens to 9 yrs old baby, bringing him to current age of 9+14 years = 23 yrs
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Practice Questions Chat Updated on: 08 Dec 2022, 12:55
Originally posted by mysterymanrog on 08 Dec 2022, 12:52.
Last edited by mysterymanrog on 08 Dec 2022, 12:55, edited 1 time in total.
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AbhinavKumar
gmatophobia
PS Question 2 - Dec 08

Jane started baby-sitting when she was 18 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 10 years ago. What is the current age of the oldest person for whom Jane could have baby-sat?

A. 20
B. 21
C. 22
D. 23
E. 24

Source: Manhattan GMAT | Difficulty: Hard
lets chart out the timeline

(9 = max age of a child she baby-sat)->18--(4yrs elapsed)--22 --(10yrs elapsed)->32(current timeline)

so current age of oldest baby = 9+4+10 = 23

option D ?
Show more
I did a slightly different interpertation

"the oldest child she could have sat" is the highest possible age while baby sitting

So this would happen in her last year, when she is 22/2=11, so 11 max age. 11 plus 10 is 21 so A
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Practice Questions Chat 08 Dec 2022, 15:50
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gmatophobia
PS Question 2 - Dec 08

Jane started baby-sitting when she was 18 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 10 years ago. What is the current age of the oldest person for whom Jane could have baby-sat?

A. 20
B. 21
C. 22
D. 23
E. 24

Source: Manhattan GMAT | Difficulty: Hard
Show more
B 21
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