GMAT Questions Chat Group : General GMAT Questions and Strategies

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gmatophobia

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Updated on: 12 Mar 2023, 00:29

Originally posted by gmatophobia on 12 Mar 2023, 00:28.
Last edited by gmatophobia on 12 Mar 2023, 00:29, edited 1 time in total.

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gmatophobia

PS Question 1 - Mar 11 The ratio of a two digit number to a number formed by reversing its digits is 4:7. Which of the following is the sum of all the numbers of all such pairs? A. 110 B. 200 C. 330 D. 88 E. 770 Source: Others | Difficulty: Medium

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C

gmatophobia

DS Question 1 - Mar 11 W, X, Y and Z are four different positive integers. When X is divided by Y, the quotient is Z and the remainder is W. What is the value of Z? 1) W = X – 4 2) W + Z = 4 Source: GMATPrepNow | Difficulty: Hard

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A

PS Question 1 - Mar 12

If a fraction of a 50% alcohol solution is replaced with 25% alcohol solution, resulting in a final solution with 30% alcohol, what is the fraction of the original solution that was replaced?

A. 3%
B. 20%
C. 66%
D. 75%
E. 80%

Source: GMAT Club Tests | Difficulty: Hard

DS Question 1 - Mar 12

There are 1,280 books at a library. Everyone borrows these books at least one, and maximum 10. If all books were borrowed, is the number of people who borrowed greater than 240?

1) 65 people borrowed either 1 or 2 books
2) 120 people borrowed either 3 or 4 book

Source: Others | Difficulty: Hard

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12 Mar 2023, 02:03

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gmatophobia

PS Question 1 - Mar 12 If a fraction of a 50% alcohol solution is replaced with 25% alcohol solution, resulting in a final solution with 30% alcohol, what is the fraction of the original solution that was replaced? A. 3% B. 20% C. 66% D. 75% E. 80% Source: GMAT Club Tests | Difficulty: Hard

Assume total sol be 100ml , let the replaced volume be x , then 50(100-x)+25x=30(100) , x is 80. now to find fraction (80/100)*100% = 80% . E is answer

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Updated on: 12 Mar 2023, 02:18

Originally posted by rickyric395 on 12 Mar 2023, 02:17.
Last edited by rickyric395 on 12 Mar 2023, 02:18, edited 1 time in total.

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gmatophobia

DS Question 1 - Mar 12 There are 1,280 books at a library. Everyone borrows these books at least one, and maximum 10. If all books were borrowed, is the number of people who borrowed greater than 240? 1) 65 people borrowed either 1 or 2 books 2) 120 people borrowed either 3 or 4 book Source: Others | Difficulty: Hard

C ?? , we need to check if minimum no. of people is greater than 240
S1: let 65 borrow 2 books = 130 books , 1280-130 = 1150 , rest borrow 10 books then min(total people)=65+115 = 180 ,
max people will be 65 borrow 1 book , 1280-65 =1215 , rest borrow 3 books then max(total people) =65+405 = 470 ,
S1 : Insufficient.

Doing same for S2 , we will see that it is insufficient too. And on combining S1 and S2 , we will get min total people as 252 i.e greater than 240 so C is answer

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12 Mar 2023, 23:11

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PremCharan909

Can u xplain?

I have tried to explain it. See if it helps you

gmatophobia

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12 Mar 2023, 23:22

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gmatophobia

PS Question 1 - Mar 12 If a fraction of a 50% alcohol solution is replaced with 25% alcohol solution, resulting in a final solution with 30% alcohol, what is the fraction of the original solution that was replaced? A. 3% B. 20% C. 66% D. 75% E. 80% Source: GMAT Club Tests | Difficulty: Hard

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E

gmatophobia

DS Question 1 - Mar 12 There are 1,280 books at a library. Everyone borrows these books at least one, and maximum 10. If all books were borrowed, is the number of people who borrowed greater than 240? 1) 65 people borrowed either 1 or 2 books 2) 120 people borrowed either 3 or 4 book Source: Others | Difficulty: Hard

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C

PS Question 1 - Mar 13

40 skilled employees need 60 days to complete a project while working 8 hours a day. They begin working as per schedule but one month into the project, 30 employees need to shift to a different project. These 30 employees are replaced by 40 new employees who are 50% less productive. By approximately how many days will the project be delayed if the new team decides to work 10 hours a day?

A. No delay
B. 2 days
C. 5 days
D. 10 days
E. More than 10 days

Source: Experts Global | Difficulty: Hard

DS Question 1 - Mar 13

Is quadrilateral ABCD a rhombus?

(1) Line segments AC and BD are perpendicular bisectors of each other.

(2) AB = BC = CD = AD

Source: Manhattan Prep | Difficulty: Hard

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13 Mar 2023, 04:30

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gmatophobia

DS Question 1 - Mar 13 Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD are perpendicular bisectors of each other. (2) AB = BC = CD = AD Source: Manhattan Prep | Difficulty: Hard

S1: square has this property , i.e diagonals are perpendicular bisector to each other, so We know quadrilateral ABCD is a square . S1 is sufficient.
S2: Since all sides are equal, signifying it is a square . S2 is sufficient.
Hence D is answer

NOTE- All squares are rhombus, but nor all rhombus are squares .

gmatophobia

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14 Mar 2023, 23:07

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gmatophobia

PS Question 1 - Mar 13 40 skilled employees need 60 days to complete a project while working 8 hours a day. They begin working as per schedule but one month into the project, 30 employees need to shift to a different project. These 30 employees are replaced by 40 new employees who are 50% less productive. By approximately how many days will the project be delayed if the new team decides to work 10 hours a day? A. No delay B. 2 days C. 5 days D. 10 days E. More than 10 days Source: Experts Global | Difficulty: Hard

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B

gmatophobia

DS Question 1 - Mar 13 Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD are perpendicular bisectors of each other. (2) AB = BC = CD = AD Source: Manhattan Prep | Difficulty: Hard

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D

gmatophobia

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Updated on: 14 Mar 2023, 23:19

Originally posted by gmatophobia on 14 Mar 2023, 23:18.
Last edited by gmatophobia on 14 Mar 2023, 23:19, edited 1 time in total.

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DS Question 1 - Mar 15

If n is a positive integer what is the remainder when n∗(2n−2)∗(n+1)^2 is divided by 32?

(1) n leaves a remainder 2 when divided by 3
(2) n leaves a remainder 1 when divided by 2

Source: Manhattan | Difficulty: Hard

PS Question 1 - Mar 15

A committee of three students has to be formed. There are five candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible?

A. 3
B. 4
C. 5
D. 6
E. 8

Source: GMAT Club Tests | Difficulty: Hard

rickyric395

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Updated on: 14 Mar 2023, 23:44

Originally posted by rickyric395 on 14 Mar 2023, 23:29.
Last edited by rickyric395 on 14 Mar 2023, 23:44, edited 2 times in total.

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gmatophobia

DS Question 1 - Mar 15 If n is a positive integer what is the remainder when n∗(2n−2)∗(n+1)^2 is divided by 32? (1) n leaves a remainder 2 when divided by 3 (2) n leaves a remainder 1 when divided by 2 Source: Manhattan | Difficulty: Hard

B??

gmatophobia

PS Question 1 - Mar 15 A committee of three students has to be formed. There are five candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible? A. 3 B. 4 C. 5 D. 6 E. 8 Source: GMAT Club Tests | Difficulty: Hard

B

gmatophobia

PS Question 1 - Mar 15 A committee of three students has to be formed. There are five candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible? A. 3 B. 4 C. 5 D. 6 E. 8 Source: GMAT Club Tests | Difficulty: Hard

If we try to exclude Paul and Stuart, then Jane would be out too, hence only 2 people will remain and team of 3 can’t be formed. So either of them has to be included.
With Paul but not Stuart - 1 * 3C2(Paul and selecting 2 people from remaining 3 people)
With Stuart but not Paul - 3C3 ( If Paul is not there then Jane won’t be there too)
As already shown both can’t be included together and can’t be excluded too.
Hence 3+1 = 4 ways Answer is B

gmatophobia

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Updated on: 16 Mar 2023, 00:42

Originally posted by gmatophobia on 16 Mar 2023, 00:37.
Last edited by gmatophobia on 16 Mar 2023, 00:42, edited 2 times in total.

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gmatophobia

DS Question 1 - Mar 15 If n is a positive integer what is the remainder when n∗(2n−2)∗(n+1)^2 is divided by 32? (1) n leaves a remainder 2 when divided by 3 (2) n leaves a remainder 1 when divided by 2 Source: Manhattan | Difficulty: Hard

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B

gmatophobia

PS Question 1 - Mar 15 A committee of three students has to be formed. There are five candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible? A. 3 B. 4 C. 5 D. 6 E. 8 Source: GMAT Club Tests | Difficulty: Hard

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B

PS Question 1 - Mar 16

If n = (2^2)^22, then how many digits does x have?

A. 12
B. 13
C. 14
D. 15
E. 16

Source: GMAT Club Tests | Difficulty: Hard

DS Question 1 - Mar 16

What is the percentage of alcohol in solution X?

(1) If 50 liters alcohol is added, X will contain 60% alcohol.
(2) If the volume of water, equivalent to that of the total solution, is added, X will contain 20% alcohol.

Source: Expert’s Global | Difficulty: Medium

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16 Mar 2023, 02:16

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gmatophobia

DS Question 1 - Mar 15 If n is a positive integer what is the remainder when n∗(2n−2)∗(n+1)^2 is divided by 32? (1) n leaves a remainder 2 when divided by 3 (2) n leaves a remainder 1 when divided by 2 Source: Manhattan | Difficulty: Hard

Hi, can someone help with the explanation of this question?

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Updated on: 16 Mar 2023, 04:17

Originally posted by rickyric395 on 16 Mar 2023, 04:08.
Last edited by rickyric395 on 16 Mar 2023, 04:17, edited 3 times in total.

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ShreyaKapoor28

Hi, can someone help with the explanation of this question?

We want remainder of 2*n*(n-1)*(n+1)*(n+1)/2^5 ,
S1: n/3 has remainder 2, so numbers can be 2,5,8,11,14,17.....
checking for n=5, 2*5*4*6*6/2^5 : clearly it is divisible by 2^5 ( 4=2*2 , 6=2*3 ) , so r=0
checking for n=14, 2*14*13*15*15/2^5 :clearly it is not divisible by 2 r not equal to 0;
S1 is insufficient.

S2: n leaves r=1 when divided by 2, then n is odd, since n is +ve int, then min(n) has to be 1 , so whole expression becomes 0 and r=0
if n>1 , then min(n) is 3, then 2*3*2*4*4 , clearly min value has more than 5 2’s in its prime factorization, hence r will always be 0
S2 sufficient

Hope it helps

rickyric395

S2: n leaves r=1 when divided by 2, then n is odd, since n is +ve int, then min(n) has to be 1 , so whole expression becomes 0 and r=0 if n>1 , then min(n) is 3, then 2*3*2*4*4 , clearly min value has more than 5 2’s in its prime factorization, hence r will always be 0 S2 sufficient

so whole expression becomes 0 and r=0 this is for n=1

rickyric395

We want remainder of 2*n*(n-1)*(n+1)*(n+1)/2^5 , S1: n/3 has remainder 2, so numbers can be 2,5,8,11,14,17..... checking for n=5, 2*5*4*6*6/2^5 : clearly it is divisible by 2^5 ( 4=2*2 , 6=2*3 ) , so r=0 checking for n=14, 2*14*13*15*15/2^5 :clearly it is not divisible by 2 r not equal to 0; S1 is insufficient.

’clearly it is not divisible by 2’ , I mean 2^5 , so r is non zero

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Updated on: 17 Mar 2023, 00:29

Originally posted by gmatophobia on 17 Mar 2023, 00:26.
Last edited by gmatophobia on 17 Mar 2023, 00:29, edited 2 times in total.

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gmatophobia

PS Question 1 - Mar 16 If n = (2^2)^22, then how many digits does x have? A. 12 B. 13 C. 14 D. 15 E. 16 Source: GMAT Club Tests | Difficulty: Hard

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C

gmatophobia

DS Question 1 - Mar 16 What is the percentage of alcohol in solution X? (1) If 50 liters alcohol is added, X will contain 60% alcohol. (2) If the volume of water, equivalent to that of the total solution, is added, X will contain 20% alcohol. Source: Expert’s Global | Difficulty: Medium

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B

DS Question 1 - Mar 17

Is x² + y² > -2xy?

(1) xy > 0
(2) x - y = 4

Source: GMATPrepNow | Difficulty: Hard

PS Question 1 - Mar 17

From the consecutive integers -10 to 10 inclusive, 20 integers are randomly chosen with repetitions allowed. What is the least possible value of the product of the 20 integers?

A. (-10)^20
B. (-10)^10
C. 0
D. –(10)^19
E. –(10)^20

Source: Official Guide | Difficulty: Medium

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17 Mar 2023, 01:40

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gmatophobia

PS Question 1 - Mar 17 From the consecutive integers -10 to 10 inclusive, 20 integers are randomly chosen with repetitions allowed. What is the least possible value of the product of the 20 integers? A. (-10)^20 B. (-10)^10 C. 0 D. –(10)^19 E. –(10)^20 Source: Official Guide | Difficulty: Medium

D as it is the only option which gives us a negative no.

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17 Mar 2023, 01:45

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gmatophobia

PS Question 1 - Mar 17 From the consecutive integers -10 to 10 inclusive, 20 integers are randomly chosen with repetitions allowed. What is the least possible value of the product of the 20 integers? A. (-10)^20 B. (-10)^10 C. 0 D. –(10)^19 E. –(10)^20 Source: Official Guide | Difficulty: Medium

I think the answer is E. Since the negative sign is outside the brackets then -(10)^20 is a negative number.

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Updated on: 18 Mar 2023, 23:28

Originally posted by rxb266 on 18 Mar 2023, 23:19.
Last edited by rxb266 on 18 Mar 2023, 23:28, edited 3 times in total.

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gmatophobia

PS Question 1 - Mar 17 From the consecutive integers -10 to 10 inclusive, 20 integers are randomly chosen with repetitions allowed. What is the least possible value of the product of the 20 integers? A. (-10)^20 B. (-10)^10 C. 0 D. –(10)^19 E. –(10)^20 Source: Official Guide | Difficulty: Medium

The answer is E

Since -(10^20) will be the least value !!

gmatophobia

DS Question 1 - Mar 17 Is x² + y² > -2xy? (1) xy > 0 (2) x - y = 4 Source: GMATPrepNow | Difficulty: Hard

Answer A (IMO)

gmatophobia

DS Question 1 - Mar 16 What is the percentage of alcohol in solution X? (1) If 50 liters alcohol is added, X will contain 60% alcohol. (2) If the volume of water, equivalent to that of the total solution, is added, X will contain 20% alcohol. Source: Expert’s Global | Difficulty: Medium

B

gmatophobia

PS Question 1 - Mar 16 If n = (2^2)^22, then how many digits does x have? A. 12 B. 13 C. 14 D. 15 E. 16 Source: GMAT Club Tests | Difficulty: Hard

D

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Updated on: 18 Mar 2023, 23:58

Originally posted by gmatophobia on 18 Mar 2023, 23:52.
Last edited by gmatophobia on 18 Mar 2023, 23:58, edited 2 times in total.

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gmatophobia

DS Question 1 - Mar 17 Is x² + y² > -2xy? (1) xy > 0 (2) x - y = 4 Source: GMATPrepNow | Difficulty: Hard

Show SpoilerOA

A

gmatophobia

PS Question 1 - Mar 17 From the consecutive integers -10 to 10 inclusive, 20 integers are randomly chosen with repetitions allowed. What is the least possible value of the product of the 20 integers? A. (-10)^20 B. (-10)^10 C. 0 D. –(10)^19 E. –(10)^20 Source: Official Guide | Difficulty: Medium

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E

DS Question 1 - Mar 19

A certain list consists of 3 different numbers. Does the median of the 3 numbers equal the average (arithmetic mean) of the 3 numbers?

(1) The range of the 3 numbers is equal to twice the difference between the greatest number and the median.
(2) The sum of the 3 numbers is equal to 3 times one of the numbers.

Source: Official Guide | Difficulty: Hard

PS Question 1 - Mar 19

If a + b 4

B. a < -4

C. a < -2

D. 2 < a < 4

E. None of the above.

Source: Other | Difficulty: Hard

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