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DS Question 1 - Apr 13 If y=|x|+x, where y is an integer. Is y = 0 ? (1) x!+7 is prime (2) y < 2 Source: Others | Difficulty: Hard
stmt 1: x!+7 is prime; By this statement x is positive integer, since factorial of -ve number is undefined.
also, x is not zero, coz x!+1 will be 8, which is not prime
y can have multiple values, but the all have to be even positive integers
Answer-No; Sufficient
stmt 2: y < 2
now y can take either of 0 or 1, since y is an integer and any negative value of x will fetch a zero
as it is never mentioned that x is an integer, it can be 0.5 for y to be 1
Insufficient

Ans - A
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Hi!

Actually, I’m new to the forum. Can someone please guide me to all the questions/problem sets from the GMAT Official Guide Verbal & Quant Review 2022?

TIA!!
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hey! I am new to to this forum, I need some guidance on how to prepare for the GMAT.
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Hi. Welcome to GMAT club. You can start here: gmat-study-plan-2023-updated-edition-217827.html
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factors possible (5,6) & (2,3,5) 1 digit - Not Possible 2 digits - (5,6) = 2! 3 digits - (2,3,5) = 3! (1,5,6) = 3! 4 digits - (1,2,3,5) = 4! (1,1,5,6)=4!/2! Total=50
Hi. Why did u divide the (1,1,5,6) option by 2! ?
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Hi. Why did u divide the (1,1,5,6) option by 2! ?
Because 1 is coming twice. See it as arrangement for words POLE vs POLL
for POLE, number of arrangement for all the alphabets is 4! ; all alphabets are distinct
for POLL, it will be 4!/2!, L is repeating twice in each arrangement.
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gmatophobia
DS Question 1 - Apr 13 If y=|x|+x, where y is an integer. Is y = 0 ? (1) x!+7 is prime (2) y < 2 Source: Others | Difficulty: Hard

gmatophobia
PS Question 1 - Apr 13 Pam and Robin each roll a pair of fair, six-sided dice. What is the probability that Pam and Robin will both roll the same set of two numbers? A. 1/216 B. 1/36 C. 5/108 D. 11/216 E. 1/18 Source: Veritas Prep | Difficulty: Hard

DS Question 1 - Apr 15

Is ABCD a rectangle?

(1) ∠A = 90º and ∠C = 90º
(2) AD||BC

Source: Experts Global | Difficulty: Hard

PS Question 1 - Apr 15

Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person sub-committees, what percent of all the possible subcommittees that include Michael also include Anthony?

(A) 20%
(B) 30%
(C) 40%
(D) 50%
(E) 60%

Source: Manhattan | Difficulty: Hard
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PS Question 1 - Apr 15 Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person sub-committees, what percent of all the possible subcommittees that include Michael also include Anthony? (A) 20% (B) 30% (C) 40% (D) 50% (E) 60% Source: Manhattan | Difficulty: Hard
total 4 posibilities for 2 sub committees n 2 possibilites for anthony n michael to be in same sub-committee. hence 2/4 is the probability wiz. 50%.
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PS Question 1 - Apr 15 Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person sub-committees, what percent of all the possible subcommittees that include Michael also include Anthony? (A) 20% (B) 30% (C) 40% (D) 50% (E) 60% Source: Manhattan | Difficulty: Hard
Number of committee possible : 6C3 * 3C3/2! = 10; (Order not needed, so use /2!)
Number of committee with Michael : 10; because there are two committees of 3 from 6
Number of committee with both M&A: 4C1 * 3C3 = 4; (6-2); (first group has M&A, order included, so no /2!)
probability=4/10
Ans - C
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Hey guys, found a very good question. Give it a try.

If a real number x is randomly chosen between 0 and 2, inclusive, and a real number y is randomly chosen between 0 and 6, inclusive, what is the probability that x>y?

A) 1/12
B) 1/8
C) 1/6
D) 1/4
E) 1/3
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wickedvikram
Hey guys, found a very good question. Give it a try. If a real number x is randomly chosen between 0 and 2, inclusive, and a real number y is randomly chosen between 0 and 6, inclusive, what is the probability that x>y? A) 1/12 B) 1/8 C) 1/6 D) 1/4 E) 1/3
Nice Ques !

Is the answer C ?

We can use the concept of favorable region / total region
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Nice Ques ! Is the answer C ? We can use the concept of favorable region / total region
Yes, exactly. I got stumped when I saw this question. It has very simple trap that can be missed :)
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DS Question 1 - Apr 15 Is ABCD a rectangle? (1) ∠A = 90º and ∠C = 90º (2) AD||BC Source: Experts Global | Difficulty: Hard

gmatophobia
PS Question 1 - Apr 15 Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person sub-committees, what percent of all the possible subcommittees that include Michael also include Anthony? (A) 20% (B) 30% (C) 40% (D) 50% (E) 60% Source: Manhattan | Difficulty: Hard
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DS Question 1 - Apr 17

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: Medium

PS Question 1 - Apr 17

A washing machine takes 35 minutes to wash one load of laundry, and in between washing different loads of laundry it takes Derek 2 minutes to unload and another 4 minutes to reload the machine. If the washing machine begins washing one load of laundry at 12:30pm, how many loads of laundry can Derek wash and unload before 6:35pm?

(A) 8
(B) 9
(C) 10
(D) 14
(E) 15

Source: Other | Difficulty: Medium
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gmatophobia
DS Question 1 - Apr 17 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: Medium
D
a<b<c, b=(a+c)/2 ?
stmt 1: c-a = 2(c-b) ; solve b=(a+c)/2; sufficient
stmt 2: a+b+c=3a or 3b or 3c; i.e. (a+b+c)/3 = a or b or c ;
a & c not possible since average of 3 numbers can’t be the highest or lowest of them. Thus, b remains
a+b+c=3b
a+c=2b; sufficient

gmatophobia
PS Question 1 - Apr 17 A washing machine takes 35 minutes to wash one load of laundry, and in between washing different loads of laundry it takes Derek 2 minutes to unload and another 4 minutes to reload the machine. If the washing machine begins washing one load of laundry at 12:30pm, how many loads of laundry can Derek wash and unload before 6:35pm? (A) 8 (B) 9 (C) 10 (D) 14 (E) 15 Source: Other | Difficulty: Medium
L, W, UL - 4, 35, 2
Time for a cycle until unload = 41 mins
Total time = 365 mins;
wash & unload the first load=365-35-2=328
remaining cycles = 328/41=8
8+1=9
B
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gmatophobia
DS Question 1 - Apr 17 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: Medium

gmatophobia
PS Question 1 - Apr 17 A washing machine takes 35 minutes to wash one load of laundry, and in between washing different loads of laundry it takes Derek 2 minutes to unload and another 4 minutes to reload the machine. If the washing machine begins washing one load of laundry at 12:30pm, how many loads of laundry can Derek wash and unload before 6:35pm? (A) 8 (B) 9 (C) 10 (D) 14 (E) 15 Source: Other | Difficulty: Medium

DS Question 1 - Apr 18

What is the value of x ?

1) |x| = -x

2) |x|^2 = -x^2

Source: Others | Difficulty: Medium

PS Question 1 - Apr 18

A certain bakery ran a promotion code: a customer can buy x donuts for the regular price of $15 total and get 3 donuts free. If the donut price per dozen during the promotion is $2 less than the normal donut price per dozen, what is x?

A. 15
B. 18
C. 21
D. 25
E. 30

Source: Manhattan | Difficulty: Hard
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gmatophobia
DS Question 1 - Apr 18 What is the value of x ? 1) |x| = -x 2) |x|^2 = -x^2 Source: Others | Difficulty: Medium

gmatophobia
PS Question 1 - Apr 18 A certain bakery ran a promotion code: a customer can buy x donuts for the regular price of $15 total and get 3 donuts free. If the donut price per dozen during the promotion is $2 less than the normal donut price per dozen, what is x? A. 15 B. 18 C. 21 D. 25 E. 30 Source: Manhattan | Difficulty: Hard

DS Question 1 - April 19

Triangle ABC is inscribed in a rectangle ABEF forming two right triangles: AFC and BEC. Is triangle ABC an equilateral triangle?

(1) BE = (3√AB)/2

(2) Point C is the midpoint of EF

Source: eGMAT | Difficulty: Hard

PS Question 1 - April 19

A lab has 5 Nitrogen cylinders. The standard deviation of of the volume of Nitrogen in the 5 cylinders is 7 gallons. During an experiment, 20% nitrogen was removed from each cylinder; thereafter 2 gallons of nitrogen was added into each cylinder; finally 20% of the then volume in each cylinder, nitrogen was pumped into each cylinder. At the end of 3 steps of the experiment, what was the standard deviation of the volume of Nitrogen in 5 cylinders?

A. 6.72
B. 7
C. 8.72
D. 9.12
E. 11.72

Source: Expert’s Global | Difficulty: Hard (Actually Medium)
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