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gmatophobia wrote:

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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gmatophobia wrote:

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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gmatophobia wrote:

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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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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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? for second

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C? for first

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gmatophobia wrote:

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

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ShreyaKapoor28 wrote:

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.

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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

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Hope it helps

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rickyric395 wrote:

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

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rickyric395 wrote:

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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gmatophobia wrote:

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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gmatophobia wrote:

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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gmatophobia wrote:

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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gmatophobia wrote:

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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DS Question 1 - Mar 17

Is x² + y² > -2xy?

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

Source: GMATPrepNow | Difficulty: Hard

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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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gmatophobia wrote:

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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gmatophobia wrote:

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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gmatophobia wrote:

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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gmatophobia wrote:

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

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gmatophobia wrote:

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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gmatophobia wrote:

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

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gmatophobia wrote:

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

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Hello

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gmatophobia wrote:

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 !!

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gmatophobia wrote:

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

Answer A (IMO)

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gmatophobia wrote:

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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gmatophobia wrote:

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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gmatophobia wrote:

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

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gmatophobia wrote:

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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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

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PS Question 1 - Mar 19

If a + b < 0 and a + 2b = 3, then which of the following must be true?

A. a > 4

B. a < -4

C. a < -2

D. 2 < a < 4

E. None of the above.

Source: Other | Difficulty: Hard

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gmatophobia wrote:

PS Question 1 - Mar 19 If a + b < 0 and a + 2b = 3, then which of the following must be true? A. a > 4 B. a < -4 C. a < -2 D. 2 < a < 4 E. None of the above. Source: Other | Difficulty: Hard

C.

We’re getting "a<-3" hence "a<-2" will always be true.

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its actually quite unorthodox to digest that a<-2 MUST BE true, because we are declaring the values of -3<a<-2 as well for that particular range.

a<-4 would have included only those ranges that deduction a<-3 approved.

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gmatophobia wrote:

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

D?

Assuming the numbers as a, b, and c. We’re asked whether a+b+c/3 = b --> a+c = 2b.

On solving both statements, we’re getting this. Hence D.

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ChandlerBong wrote:

D? Assuming the numbers as a, b, and c. We’re asked whether a+b+c/3 = b --> a+c = 2b. On solving both statements, we’re getting this. Hence D.

*a < b <c

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gmatophobia wrote:

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

A ??

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gmatophobia wrote:

PS Question 1 - Mar 19 If a + b < 0 and a + 2b = 3, then which of the following must be true? A. a > 4 B. a < -4 C. a < -2 D. 2 < a < 4 E. None of the above. Source: Other | Difficulty: Hard

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gmatophobia wrote:

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

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gmatophobia wrote:

PS Question 1 - Mar 19 If a + b < 0 and a + 2b = 3, then which of the following must be true? A. a > 4 B. a < -4 C. a < -2 D. 2 < a < 4 E. None of the above. Source: Other | Difficulty: Hard

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gmatophobia wrote:

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

Both (1) & (2) are true

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I am new here n to gmat prep, why I see "D" mentioned by few folks when there are no options.. are A,B,C,D standard?

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gmatophobia wrote:

PS Question 1 - Mar 19 If a + b < 0 and a + 2b = 3, then which of the following must be true? A. a > 4 B. a < -4 C. a < -2 D. 2 < a < 4 E. None of the above. Source: Other | Difficulty: Hard

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Correcting myself, its C for PS question

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Apologies, its B

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C is not possible as that will result in b < 3 which isn’t possible so eliminated

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gmatophobia wrote:

PS Question 1 - Mar 19 If a + b < 0 and a + 2b = 3, then which of the following must be true? A. a > 4 B. a < -4 C. a < -2 D. 2 < a < 4 E. None of the above. Source: Other | Difficulty: Hard

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gmatophobia wrote:

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

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DS Question 1 - Mar 20

If a and b are positive integers, is a^4−b^4 divisible by 4?

1) a + b is divisible by 4

2) The remainder is 2 when a^2 + b^2 is divided by 4

Source: Math Revolution | Difficulty: Hard

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PS Question 1 - Mar 20

What is the largest prime factor of the expression 3^8 − 2^12?

A. 2
B. 3
C. 5
D. 17
E. 29

Source: VeritasPrep | Difficulty: Hard

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PS Question 1 - Mar 20 Ans - 29

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DS i guess statment 1 sufficient... For the 2nd one don’t know

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gmatophobia wrote:

PS Question 1 - Mar 20 What is the largest prime factor of the expression 3^8 − 2^12? A. 2 B. 3 C. 5 D. 17 E. 29 Source: VeritasPrep | Difficulty: Hard

E. 29 (Using the expansion property of a^2-b^2)

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gmatophobia wrote:

DS Question 1 - Mar 20 If a and b are positive integers, is a^4−b^4 divisible by 4? 1) a + b is divisible by 4 2) The remainder is 2 when a^2 + b^2 is divided by 4 Source: Math Revolution | Difficulty: Hard

DS (1)

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2 is incorrect

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gmatophobia wrote:

DS Question 1 - Mar 20 If a and b are positive integers, is a^4−b^4 divisible by 4? 1) a + b is divisible by 4 2) The remainder is 2 when a^2 + b^2 is divided by 4 Source: Math Revolution | Difficulty: Hard

D?

Statement 1 is pretty simple. Sufficient.

Statement 2 we can take a^2+b^2 = 4k + 2 where k>0 is the divisor and then use this to simplify the question stem. Sufficient.

Both cases we’re getting a "Yes"

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ChandlerBong wrote:

D? Statement 1 is pretty simple. Sufficient. Statement 2 we can take a^2+b^2 = 4k + 2 where k>0 is the divisor and then use this to simplify the question stem. Sufficient. Both cases we’re getting a "Yes"

Can you elaborate this "and then use this to simplify the question stem" ?

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a^4 - b^4 = (a^2 - b^2)(a^2+b^2) --- (1)

Using statement 2 -> a^2+b^2 = 4k + 2 -> a^2 = 4k +2 - b^2

Using the value of a^2 in (1), -> (4k + 2 - b^2 - b^2) ( 4k + 2 ) [ As b^2 gets cancelled]

-> (4k + 2 - 2b^2) ( 4k+2) (Now we take 2 as common from both)

-> 2 * 2 ( 2k + 1 - b^2) ( 2k + 1)

Hence it’s divisible by 4. Sufficient.

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gmatophobia wrote:

PS Question 1 - Mar 20 What is the largest prime factor of the expression 3^8 − 2^12? A. 2 B. 3 C. 5 D. 17 E. 29 Source: VeritasPrep | Difficulty: Hard

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gmatophobia wrote:

DS Question 1 - Mar 20 If a and b are positive integers, is a^4−b^4 divisible by 4? 1) a + b is divisible by 4 2) The remainder is 2 when a^2 + b^2 is divided by 4 Source: Math Revolution | Difficulty: Hard

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gmatophobia wrote:

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

Can someone tell me how S2 is sufficient ? I thought if a,b,c are numbers then a+b+c = 3b (only this case satisfy what question stem is asking)

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gmatophobia wrote:

DS Question 1 - Mar 20 If a and b are positive integers, is a^4−b^4 divisible by 4? 1) a + b is divisible by 4 2) The remainder is 2 when a^2 + b^2 is divided by 4 Source: Math Revolution | Difficulty: Hard

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gmatophobia wrote:

PS Question 1 - Mar 20 What is the largest prime factor of the expression 3^8 − 2^12? A. 2 B. 3 C. 5 D. 17 E. 29 Source: VeritasPrep | Difficulty: Hard

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DS Question 1 - Mar 21

A bank account earned 2% annual interest, compounded daily, for as long as the balance was under $1,000, starting when the account was opened. Once the balance reached $1,000, the account earned 2.5% annual interest, compounded daily until the account was closed. No deposits or withdrawals were made. Was the total amount of interest earned at the 2% rate greater than the total amount earned at the 2.5% rate?

(1) The account earned exactly $25 in interest at the 2.5% rate.
(2) The account was open for exactly three years.

Source: Official Guide | Difficulty: Medium

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PS Question 1 - Mar 21

The sum of x and y is at least 2 but no more than 5. If the total of twice x and three times y is non-negative and no more than 40, which of the following expresses all possible values of y?

A. −4 ≤ y ≤ 36

B. −10 ≤ y ≤ 30

C. −10 ≤ y ≤ 36

D. 0 ≤ y ≤ 40

E. 2 ≤ y ≤ 5

Source: Princeton Review | Difficulty: Hard

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gmatophobia wrote:

DS Question 1 - Mar 21 A bank account earned 2% annual interest, compounded daily, for as long as the balance was under $1,000, starting when the account was opened. Once the balance reached $1,000, the account earned 2.5% annual interest, compounded daily until the account was closed. No deposits or withdrawals were made. Was the total amount of interest earned at the 2% rate greater than the total amount earned at the 2.5% rate? (1) The account earned exactly $25 in interest at the 2.5% rate. (2) The account was open for exactly three years. Source: Official Guide | Difficulty: Medium

stem: Is, interest @2% p.a. > interest @2.5% p.a. ?
or I1 > I2 ?

if "m" is the principal amount to start with and for "n" days the account operated

$1000 will be the new amount at the end of 2% interest scenario.

1000 = m(1+2/(100*365))^t , assuming this goes on for "t" days
we get value of "m" if we have "t"

then interest, I1 = m(1+2/(100*365))^t - m

another case where 2.5% is interest rate., 1000 is the principal to start with
then, total interest earned, I2= 1000(1+2.5/(100*365))^n-t - 1000

WE need value of t,n to make a comparison;

both statements individually are not sufficient;
statement1: we get to know I2 = 25, so, "n-t" can be known
statement2: we get time of 3 years, that is we can say "n" is given in years. so we can get "t"

combine both, we have all the info we need, so option C

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gmatophobia wrote:

PS Question 1 - Mar 21 The sum of x and y is at least 2 but no more than 5. If the total of twice x and three times y is non-negative and no more than 40, which of the following expresses all possible values of y? A. −4 ≤ y ≤ 36 B. −10 ≤ y ≤ 30 C. −10 ≤ y ≤ 36 D. 0 ≤ y ≤ 40 E. 2 ≤ y ≤ 5 Source: Princeton Review | Difficulty: Hard

here, 2 <= x + y <= 5
so, 4 <= 2x+2y <= 10
hence, -4 >= -2x-2y >= -10
or the same as, -10 <= -2x-2y <= -4

and another inequality, 0 <= 2x + 3y <= 40

add both inequalities

therefore -10 <= y <= 36 ... option C ?

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gmatophobia wrote:

DS Question 1 - Mar 21 A bank account earned 2% annual interest, compounded daily, for as long as the balance was under $1,000, starting when the account was opened. Once the balance reached $1,000, the account earned 2.5% annual interest, compounded daily until the account was closed. No deposits or withdrawals were made. Was the total amount of interest earned at the 2% rate greater than the total amount earned at the 2.5% rate? (1) The account earned exactly $25 in interest at the 2.5% rate. (2) The account was open for exactly three years. Source: Official Guide | Difficulty: Medium

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gmatophobia wrote:

PS Question 1 - Mar 21 The sum of x and y is at least 2 but no more than 5. If the total of twice x and three times y is non-negative and no more than 40, which of the following expresses all possible values of y? A. −4 ≤ y ≤ 36 B. −10 ≤ y ≤ 30 C. −10 ≤ y ≤ 36 D. 0 ≤ y ≤ 40 E. 2 ≤ y ≤ 5 Source: Princeton Review | Difficulty: Hard

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gmatophobia wrote:

DS Question 1 - Mar 21 A bank account earned 2% annual interest, compounded daily, for as long as the balance was under $1,000, starting when the account was opened. Once the balance reached $1,000, the account earned 2.5% annual interest, compounded daily until the account was closed. No deposits or withdrawals were made. Was the total amount of interest earned at the 2% rate greater than the total amount earned at the 2.5% rate? (1) The account earned exactly $25 in interest at the 2.5% rate. (2) The account was open for exactly three years. Source: Official Guide | Difficulty: Medium

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gmatophobia wrote:

PS Question 1 - Mar 21 The sum of x and y is at least 2 but no more than 5. If the total of twice x and three times y is non-negative and no more than 40, which of the following expresses all possible values of y? A. −4 ≤ y ≤ 36 B. −10 ≤ y ≤ 30 C. −10 ≤ y ≤ 36 D. 0 ≤ y ≤ 40 E. 2 ≤ y ≤ 5 Source: Princeton Review | Difficulty: Hard

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DS Question 1 - March 22

If m and n are positive integers greater than 1, is m + n odd?

(A) m is a divisor of 16

(B) The units digit of 12^m + 28^n is 6.

Source: GMATWhiz | Difficulty: Hard

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PS Question 1 - March 22

If the sum of the first 11 terms of an arithmetic progression consisting 16 terms is zero, then which of the following COULD be true ? (An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant)

I. 11th smallest term is zero
II. 6th largest term is zero
III. All terms are non negative

A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III

Source: GMAT Club Tests | Difficulty: Hard

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Option E

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DS Qn - clearly m is even & m can be (2,4,8,16) given m,n great than 1... But it’s not sufficient so answer m+n... Statement 2 individual also not sufficient to answer... With together 1 & 2 we can say n also even... So m+n even & Answer= together sufficient to answer the question

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PS Q1 - D

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As III doesnt seem possible, for sum to be 0 of 11 terms, they have to offset so half would be positive and half negative

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gmatophobia wrote:

PS Question 1 - March 22 If the sum of the first 11 terms of an arithmetic progression consisting 16 terms is zero, then which of the following COULD be true ? (An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant) I. 11th smallest term is zero II. 6th largest term is zero III. All terms are non negative A. I only B. II only C. III only D. I and II only E. I, II, and III Source: GMAT Club Tests | Difficulty: Hard

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gmatophobia wrote:

DS Question 1 - March 22 If m and n are positive integers greater than 1, is m + n odd? (A) m is a divisor of 16 (B) The units digit of 12^m + 28^n is 6. Source: GMATWhiz | Difficulty: Hard

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gmatophobia wrote:

PS Question 1 - March 22 If the sum of the first 11 terms of an arithmetic progression consisting 16 terms is zero, then which of the following COULD be true ? (An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant) I. 11th smallest term is zero II. 6th largest term is zero III. All terms are non negative A. I only B. II only C. III only D. I and II only E. I, II, and III Source: GMAT Club Tests | Difficulty: Hard

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DS Question 1 - Mar 24

For every dollar of sales charged to a certain bank credit card, a department store must pay $0.003 to the bank that issued the credit card. What percentage of the department store’s sales transactions last month were credit card transactions?

(1) The store made 2,000 sales last month.

(2) The store took in a total of $250,000 last month and paid $300 to the bank that issued the credit card.

Source: Princeton Review | Difficulty: Hard

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PS Question 1 - Mar 24

For a certain set of numbers, if x is in the set, then both -x^2 and -x^3 are also in the set. If the number 1/2 is in the set, which of the following must also be in the set ?

I. -1/64
II. 1/64
III. 1/2^(1/3)

A. I only,
B. II only,
C. III only,
D. I and II only
E. I, II and III

Source: GMAT Club Tests | Difficulty: Hard

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gmatophobia wrote:

PS Question 1 - March 22 If the sum of the first 11 terms of an arithmetic progression consisting 16 terms is zero, then which of the following COULD be true ? (An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant) I. 11th smallest term is zero II. 6th largest term is zero III. All terms are non negative A. I only B. II only C. III only D. I and II only E. I, II, and III Source: GMAT Club Tests | Difficulty: Hard

This made me think twice........the answer is E as the terms can all be 0

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gmatophobia wrote:

PS Question 1 - Mar 24 For a certain set of numbers, if x is in the set, then both -x^2 and -x^3 are also in the set. If the number 1/2 is in the set, which of the following must also be in the set ? I. -1/64 II. 1/64 III. 1/2^(1/3) A. I only, B. II only, C. III only, D. I and II only E. I, II and III Source: GMAT Club Tests | Difficulty: Hard

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gmatophobia wrote:

DS Question 1 - Mar 24 For every dollar of sales charged to a certain bank credit card, a department store must pay $0.003 to the bank that issued the credit card. What percentage of the department store’s sales transactions last month were credit card transactions? (1) The store made 2,000 sales last month. (2) The store took in a total of $250,000 last month and paid $300 to the bank that issued the credit card. Source: Princeton Review | Difficulty: Hard

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gmatophobia wrote:

PS Question 1 - Mar 24 For a certain set of numbers, if x is in the set, then both -x^2 and -x^3 are also in the set. If the number 1/2 is in the set, which of the following must also be in the set ? I. -1/64 II. 1/64 III. 1/2^(1/3) A. I only, B. II only, C. III only, D. I and II only E. I, II and III Source: GMAT Club Tests | Difficulty: Hard

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DS Question 1 - Mar 25

3 siblings - Alan, Betty and Carl - were the only ones to receive part of a $300,000 inheritance. Did any of the three receive more than forty percent of the total inheritance?

1) Carl received a larger inheritance than Alan and a larger inheritance than Betty.
2) The combined total of Alan’s and Betty’s inheritances was equal to three times Betty’s inheritance.

Source: EMPOWERGmat | Difficulty: Hard

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PS Question 1 - Mar 25

x and y are positive integers. When 16x is divided by y, the quotient is x, and the remainder is 4. What is the sum of all possible y-values?

A) 7
B) 12
C) 19
D) 26
E) 41

Source: GMAT Prep Now | Difficulty: Hard

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gmatophobia wrote:

PS Question 1 - Mar 25 x and y are positive integers. When 16x is divided by y, the quotient is x, and the remainder is 4. What is the sum of all possible y-values? A) 7 B) 12 C) 19 D) 26 E) 41 Source: GMAT Prep Now | Difficulty: Hard

option E

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y is either 14,15 or 12

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gmatophobia wrote:

PS Question 1 - Mar 25 x and y are positive integers. When 16x is divided by y, the quotient is x, and the remainder is 4. What is the sum of all possible y-values? A) 7 B) 12 C) 19 D) 26 E) 41 Source: GMAT Prep Now | Difficulty: Hard

E

We can write it as -> 16x = yx

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16x = yx + 4
x(16-y) = 4

we know x and y are +ve integers. Hence, y can be 15,14 or 12.

Sum = 41

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How do we get from 16x/y = x + 4. To 16x = yx +4?

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We’re putting in the values and checking. Y and X should always be positive integers and for the values of y = 15, 14 or 12 we’re getting +ve value of x. Any lower value will result in -ve value or fractional value of x.

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How did we get to the equation 16x = yx +4?

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joe123x wrote:

How did we get to the equation 16x = yx +4?

Dividend = Divisor x Quotient + Remainder

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