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supernoob
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Practice Questions Chat 28 Mar 2023, 04:43
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never mind, thks

I got mixed up

never mind
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Practice Questions Chat 28 Mar 2023, 05:26
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can someone tell me how is A insufficient on its own?

If |a – b| = 6 and |b – c| = 15, then what is the value of |c|?

(1) |a – c| = 9
(2) |b| = 9
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can someone tell me how is A insufficient on its own?
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We are given the distance between point a and point b and the distance between point b and point c

|a - b| = 6

Let’s plot this over a number line, there can be two scenarios

Case 1: a lie to the right of b and the distance between a and b = 5

--------- b ----------- a ---------

Case 2: a lie to the left of b and the distance between a and b = 5

--------- a ----------- b ---------

|b - c| = 15

Just as in the above case, we can two scenarios one in which c lies to the left of b, and in the other case, c lies to the right of b. We can use the cases created above and superimpose this information.

Case 1(a): c lies to the right of b and the distance between c and b = 15

--------- b ----------- a --------- c ---------- ⇒ Distance between a and c = 9

Case 1(b): c lies to the left of b and the distance between c and b = 15

--------- c ----------- b --------- a ----------

Case 2(a): c lies to the right of b and the distance between c and b = 15

--------- a ----------- b --------- c ----------

Case 2(b): c lies to the left of b and the distance between c and b = 15

--------- c ----------- a --------- b ---------- ⇒ Distance between a and c = 9

Statement 1

|a – c| = 9

The distance between a and c is 9. This occurs in Case 1(a) and Case 2(b)

We need to find |c| (i.e distance between 0 and c)

In any of the above four cases, we didn’t consider the position of zero, nor did it matter to us. Hence, knowing that the distance between c and a is 6, at max we can narrow the relative position of a, b, and c. We cannot narrow down the position of 0, hence the statement alone doesn’t help us find the value of |c|.

Hence, statement 1 is not sufficient.
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Practice Questions Chat Updated on: 29 Mar 2023, 23:06
Originally posted by gmatophobia on 29 Mar 2023, 23:04.
Last edited by gmatophobia on 29 Mar 2023, 23:06, edited 2 times in total.
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PS Question 1 - Mar 28 A furniture manufacturer has two machines, but only one can be used at a time. Machine A is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine A can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule? A. 14 B. 13 C. 11 D. 9 E. 7 Source: GMAT Club Tests | Difficulty: Hard
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gmatophobia
DS Question 1 - Mar 28 If set S consists of the numbers n, -2, and 4, is the mean of set S greater than the median of set S ? (1) n > 2 (2) n < 3 Source: Manhattan GMAT | Difficulty: Hard
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C

DS Question 1 - Mar 30

Two positive integers a and b are divisible by 5, which is their largest common factor. What is the value of a and b?

(1) The lowest number that has both integers a and b as its factors is the product of one of the integers and the greatest common divisor of the two integers.

(2) The smaller integer is divisible by 4 numbers and has the smallest odd prime number as its factor.

Source: e-GMAT | Difficulty: Hard

PS Question 1 - Mar 30

A Train requires 7 seconds to pass a pole while it requires 25 seconds to cross a stationary train which is 378 mtrs long. Find the speed of the train.

A. 76.2 kmph
B. 75.6 kmph
C. 75.4 kmph
D. 21 kmph
E. 20 kmph

Source: Others | Difficulty: Hard
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Practice Questions Chat Updated on: 30 Mar 2023, 23:51
Originally posted by gmatophobia on 30 Mar 2023, 23:50.
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DS Question 1 - Mar 30 Two positive integers a and b are divisible by 5, which is their largest common factor. What is the value of a and b? (1) The lowest number that has both integers a and b as its factors is the product of one of the integers and the greatest common divisor of the two integers. (2) The smaller integer is divisible by 4 numbers and has the smallest odd prime number as its factor. Source: e-GMAT | Difficulty: Hard
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E

gmatophobia
PS Question 1 - Mar 30 A Train requires 7 seconds to pass a pole while it requires 25 seconds to cross a stationary train which is 378 mtrs long. Find the speed of the train. A. 76.2 kmph B. 75.6 kmph C. 75.4 kmph D. 21 kmph E. 20 kmph Source: Others | Difficulty: Hard
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B

PS Question 1 - Mar 31

At a certain store, all notebooks have the same price and all pencils have the same price. The price of four notebooks and three pencils is more than $12 and less than $13. The price of two notebooks and five pencils is more than $8 and less than $9. If a notebook costs x more than a pencil, which of the following could be the value of x ?

(A) $0.60
(B) $1.05
(C) $1.30
(D) $2.20
(E) $2.70

Source: Manhattan | Difficulty: Medium

DS Question 1 - Mar 31

Khalil drove 120 kilometers in a certain amount of time. What was his average speed, in kilometers per hour, during this time?

(1) If Khalil had driven at an average speed that was 5 kilometers per hour faster, his driving time would have been reduced by 20 minutes.
(2) If Khalil had driven at an average speed that was 25% faster, his driving time would have been reduced by 20%.

Source: Official Guide | Difficulty: Hard
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Practice Questions Chat Updated on: 01 Apr 2023, 01:07
Originally posted by gmatophobia on 01 Apr 2023, 00:56.
Last edited by gmatophobia on 01 Apr 2023, 01:07, edited 2 times in total.
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PS Question 1 - Mar 31 At a certain store, all notebooks have the same price and all pencils have the same price. The price of four notebooks and three pencils is more than $12 and less than $13. The price of two notebooks and five pencils is more than $8 and less than $9. If a notebook costs x more than a pencil, which of the following could be the value of x ? (A) $0.60 (B) $1.05 (C) $1.30 (D) $2.20 (E) $2.70 Source: Manhattan | Difficulty: Medium
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D

gmatophobia
DS Question 1 - Mar 31 Khalil drove 120 kilometers in a certain amount of time. What was his average speed, in kilometers per hour, during this time? (1) If Khalil had driven at an average speed that was 5 kilometers per hour faster, his driving time would have been reduced by 20 minutes. (2) If Khalil had driven at an average speed that was 25% faster, his driving time would have been reduced by 20%. Source: Official Guide | Difficulty: Hard
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A

PS Question 1 - Apr 1

A right circular cylinder-shaped coin made of an aluminum-silver alloy weighs 30 grams and has a diameter of 15 mm and a height of 2 mm. The coin contains equal volumes of aluminum and silver, with silver being twice as heavy as aluminum. What is the weight of a pure aluminum circular cylinder-shaped coin with a diameter of 30 mm and a height of 1 mm?

A. 36 grams
B. 40 grams
C. 42 grams
D. 48 grams
E. 80 grams

Source: GMAT Club Tests | Difficulty: Hard

DS Question 1 - Apr 1

If A and B are integers, is B even?

(1) 14A – 11B = 7N
(2) 14A – 11B = 2N

Source: GMATPrepNow | Difficulty: Hard
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Practice Questions Chat Updated on: 01 Apr 2023, 05:42
Originally posted by Maheshkv on 01 Apr 2023, 05:36.
Last edited by Maheshkv on 01 Apr 2023, 05:42, edited 1 time in total.
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gmatophobia
DS Question 1 - Apr 1 If A and B are integers, is B even? (1) 14A – 11B = 7N (2) 14A – 11B = 2N Source: GMATPrepNow | Difficulty: Hard
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B

gmatophobia
PS Question 1 - Apr 1 A right circular cylinder-shaped coin made of an aluminum-silver alloy weighs 30 grams and has a diameter of 15 mm and a height of 2 mm. The coin contains equal volumes of aluminum and silver, with silver being twice as heavy as aluminum. What is the weight of a pure aluminum circular cylinder-shaped coin with a diameter of 30 mm and a height of 1 mm? A. 36 grams B. 40 grams C. 42 grams D. 48 grams E. 80 grams Source: GMAT Club Tests | Difficulty: Hard
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40, need not solve for numericals can assume the common fraction as constant and then ratio change can help find the answer
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Practice Questions Chat Updated on: 02 Apr 2023, 03:08
Originally posted by gmatophobia on 02 Apr 2023, 03:06.
Last edited by gmatophobia on 02 Apr 2023, 03:08, edited 2 times in total.
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gmatophobia
PS Question 1 - Apr 1 A right circular cylinder-shaped coin made of an aluminum-silver alloy weighs 30 grams and has a diameter of 15 mm and a height of 2 mm. The coin contains equal volumes of aluminum and silver, with silver being twice as heavy as aluminum. What is the weight of a pure aluminum circular cylinder-shaped coin with a diameter of 30 mm and a height of 1 mm? A. 36 grams B. 40 grams C. 42 grams D. 48 grams E. 80 grams Source: GMAT Club Tests | Difficulty: Hard
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B

gmatophobia
DS Question 1 - Apr 1 If A and B are integers, is B even? (1) 14A – 11B = 7N (2) 14A – 11B = 2N Source: GMATPrepNow | Difficulty: Hard
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C

DS Question 1 - Apr2

What is the units digit of positive integer x?

(1) 7, 15, 24, and n are all factors of x.
(2) 6! < x < 7!

Source: Others | Difficulty: Hard

PS Question 1 - Apr2

A family consisting of one mother, one father, two daughters and a son is taking a road trip in a sedan. The sedan has two front seats and three back seats. If one of the parents must drive and the two daughters refuse to sit next to each other, how many possible seating arrangements are there?

A. 28
B. 32
C. 48
D. 60
E. 120

Source: Manhattan | Difficulty: Medium
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Practice Questions Chat Updated on: 02 Apr 2023, 04:13
Originally posted by wickedvikram on 02 Apr 2023, 03:59.
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gmatophobia
PS Question 1 - Apr2 A family consisting of one mother, one father, two daughters and a son is taking a road trip in a sedan. The sedan has two front seats and three back seats. If one of the parents must drive and the two daughters refuse to sit next to each other, how many possible seating arrangements are there? A. 28 B. 32 C. 48 D. 60 E. 120 Source: Manhattan | Difficulty: Medium
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2(4!-2*2*2)
two arrangements for driver M,F =2
Total arrangement = 2*4!
Arrangement daughters sitting together = 2*2*2*2
2 combination out of 3 seats * interchange seats * M/F & Bro arrangement in 2 seats* driver(M/F)

2(4!-2*2*2)= 32

gmatophobia
DS Question 1 - Apr2 What is the units digit of positive integer x? (1) 7, 15, 24, and n are all factors of x. (2) 6! < x < 7! Source: Others | Difficulty: Hard
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E
stmt1 - 7*3*5*8*n=840n, X is 840n; whatever n is?
stmt2- 720<x<2520
combine- 840, 1680 ; n=1,2 both factors for x

gmatophobia
DS Question 1 - Apr 1 If A and B are integers, is B even? (1) 14A – 11B = 7N (2) 14A – 11B = 2N Source: GMATPrepNow | Difficulty: Hard
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B

gmatophobia
PS Question 1 - Apr 1 A right circular cylinder-shaped coin made of an aluminum-silver alloy weighs 30 grams and has a diameter of 15 mm and a height of 2 mm. The coin contains equal volumes of aluminum and silver, with silver being twice as heavy as aluminum. What is the weight of a pure aluminum circular cylinder-shaped coin with a diameter of 30 mm and a height of 1 mm? A. 36 grams B. 40 grams C. 42 grams D. 48 grams E. 80 grams Source: GMAT Club Tests | Difficulty: Hard
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B
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Practice Questions Chat 02 Apr 2023, 04:26
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gmatophobia
DS Question 1 - Apr2 What is the units digit of positive integer x? (1) 7, 15, 24, and n are all factors of x. (2) 6! < x < 7! Source: Others | Difficulty: Hard
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statement1:
7,15,24 and n are factors of x
LCM of (7,15,24,n) should also be a factor of x

for 7,15,24 - LCM ends in "0"

so the LCM of the above array of numbers including "n" will also end in 0
thus, x must end with 0 as well


Statement2:
6!<x<7!
720<x<5040 too many possibilities of x


~ option A
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Practice Questions Chat 03 Apr 2023, 22:08
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DS Question 1 - Apr2 What is the units digit of positive integer x? (1) 7, 15, 24, and n are all factors of x. (2) 6! < x < 7! Source: Others | Difficulty: Hard
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A

gmatophobia
PS Question 1 - Apr2 A family consisting of one mother, one father, two daughters and a son is taking a road trip in a sedan. The sedan has two front seats and three back seats. If one of the parents must drive and the two daughters refuse to sit next to each other, how many possible seating arrangements are there? A. 28 B. 32 C. 48 D. 60 E. 120 Source: Manhattan | Difficulty: Medium
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B

PS Question 1 - Apr 04

If x^3 < 16x which of the following includes at least some of the possible solutions for x, but no values that are not solutions?

A. |x| < 4
B. x < 4
C. x > 4
D. x < -4
E. x > 0

Source: Manhattan | Difficulty: Hard

DS Question 1 - Apr 04

Is the positive integer x even?

(1) x is NOT divisible by n!, where n is a positive integer.
(2) x^2 is divisible by n!, where n is a positive integer.

Source: GMAT Club Tests | Difficulty: Hard
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Practice Questions Chat 04 Apr 2023, 01:08
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PS Question 1 - Apr 04 If x^3 < 16x which of the following includes at least some of the possible solutions for x, but no values that are not solutions? A. |x| < 4 B. x < 4 C. x > 4 D. x < -4 E. x > 0 Source: Manhattan | Difficulty: Hard
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x^3-16x<0
x(x^2-16)<0
x((x+4)(x-4))<0
We can envision three boundaries: x=0, x=4, x=-4
From x=4, for values greater than this, the equation never holds: x is pos, x+4 is pos, and x-4 is pos. So C and E are eliminated as they contain values of x>4
at x=0:
If 0<x<4, then the condition holds: x is pos, x+4 is pos, but x-4 is negative.
If -4<x<0, the condition does not hold: x is negative, x-4 is negative, and x+4 is positive.
at x<-4, the condition does hold:
x is neg, x-4 is neg, and x+4 is neg.
So we have 2 ranges that are admissable: x<-4, 0<x<4.
x<-4 is answer choice D, which must be correct.
For completeness:
A is incorrect, because it admits the value x=0. If x=0, the equation does not hold.
Similarly for B, X=0 is also a possibility, so it is not correct as it contains values of X that are not a solution.
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Practice Questions Chat Updated on: 04 Apr 2023, 02:53
Originally posted by AbhinavKumar on 04 Apr 2023, 02:50.
Last edited by AbhinavKumar on 04 Apr 2023, 02:53, edited 1 time in total.
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gmatophobia
PS Question 1 - Apr 04 If x^3 < 16x which of the following includes at least some of the possible solutions for x, but no values that are not solutions? A. |x| < 4 B. x < 4 C. x > 4 D. x < -4 E. x > 0 Source: Manhattan | Difficulty: Hard
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D

gmatophobia
DS Question 1 - Apr 04 Is the positive integer x even? (1) x is NOT divisible by n!, where n is a positive integer. (2) x^2 is divisible by n!, where n is a positive integer. Source: GMAT Club Tests | Difficulty: Hard
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This seems familiar ;)
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Practice Questions Chat Updated on: 05 Apr 2023, 00:48
Originally posted by gmatophobia on 05 Apr 2023, 00:44.
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PS Question 1 - Apr 04 If x^3 < 16x which of the following includes at least some of the possible solutions for x, but no values that are not solutions? A. |x| < 4 B. x < 4 C. x > 4 D. x < -4 E. x > 0 Source: Manhattan | Difficulty: Hard
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gmatophobia
DS Question 1 - Apr 04 Is the positive integer x even? (1) x is NOT divisible by n!, where n is a positive integer. (2) x^2 is divisible by n!, where n is a positive integer. Source: GMAT Club Tests | Difficulty: Hard
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C

DS Question 1 - Apr 05

If ac/(db) < 0, is d – b < 0 ?

(1) |a − c| = |a| − |c|
(2) d – b > d + b

Source: Others | Difficulty: Medium

PS Question 1 - Apr 05

How many non-negative integer triplets {x, y, z} satisfy x+3y+8z=20 ?

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

Source: Others | Difficulty: Hard
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PS Question 1 - Apr 05 How many non-negative integer triplets {x, y, z} satisfy x+3y+8z=20 ? A. 12 B. 13 C. 14 D. 15 E. 16 Source: Others | Difficulty: Hard
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couldn’t find a shorter solution :facepalm_man: , but here it goes...

we try out values of x,y,z that’s it
For 3y+8z the sum should be less than or equal to 20

we try out values for y,z and ensure that the above condition is met, so we can fill in any missing values of non-negative integer x to make the expression x+3y+8z=20

I have copied the pen/paper approach to the attached Excel sheet (in the screenshot).
we count the number of highlighted columns with "yes" as condition checks are valid test cases, ignoring the red ones that exceed the sum of 20 and hence invalid test cases.

There are 14 combos of x,y, and z that satisfies the given equation.
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Practice Questions Chat Updated on: 07 Apr 2023, 05:17
Originally posted by gmatophobia on 07 Apr 2023, 05:16.
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DS Question 1 - Apr 05 If ac/(db) < 0, is d – b < 0 ? (1) |a − c| = |a| − |c| (2) d – b > d + b Source: Others | Difficulty: Medium
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C

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C

gmatophobia
PS Question 1 - Apr 05 How many non-negative integer triplets {x, y, z} satisfy x+3y+8z=20 ? A. 12 B. 13 C. 14 D. 15 E. 16 Source: Others | Difficulty: Hard
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C

DS Question 1 - Apr 07

The average score of x number of exams is y. When an additional exam of score z is added in, does the average score of the exams increase by 50%?

(1) 3x = y
(2) 2z - 3y = xy

Source: Manhattan | Difficulty: Medium

PS Question 1 - Apr 07

A boarding school accommodating 400 students has provided a locker to each student. On Christmas eve, Santa places a pen in every other locker, a box of chocolate in every third locker and a bottle of wine in every fifth locker starting with the second locker for a pen, the third locker for a box of chocolate and fifth one for a bottle of wine. How many students have got none of the three gifts?

A. 120
B. 110
C. 106
D. 90
E. 56

Source: Others | Difficulty: Hard
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Practice Questions Chat Updated on: 07 Apr 2023, 07:20
Originally posted by wickedvikram on 07 Apr 2023, 06:47.
Last edited by wickedvikram on 07 Apr 2023, 07:20, edited 5 times in total.
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gmatophobia
PS Question 1 - Apr 07 A boarding school accommodating 400 students has provided a locker to each student. On Christmas eve, Santa places a pen in every other locker, a box of chocolate in every third locker and a bottle of wine in every fifth locker starting with the second locker for a pen, the third locker for a box of chocolate and fifth one for a bottle of wine. How many students have got none of the three gifts? A. 120 B. 110 C. 106 D. 90 E. 56 Source: Others | Difficulty: Hard
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C - 106
P-2x
C-3x
W-5x
LCM=30x;
Check for 390 (390/30=13)
13(30-((P+C+W)-(PC+CW+WP)+PCW))
13(30-((15+10+6)-(5+2+3)+1))
104
add for remaining 10; 10-(5+3+2)-(1+0+1)-0=2
=104+2=106

gmatophobia
DS Question 1 - Apr 07 The average score of x number of exams is y. When an additional exam of score z is added in, does the average score of the exams increase by 50%? (1) 3x = y (2) 2z - 3y = xy Source: Manhattan | Difficulty: Medium
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B
Let total sum of score be S; S=xy
Question is S+Z=(x+1)3y/2
A - Insufficient : No substitution for Z
B - Sufficient
S=(x+1)3y/2-(xy+3z)/2=xy
confirms to original statement

gmatophobia
PS Question 1 - Apr 05 How many non-negative integer triplets {x, y, z} satisfy x+3y+8z=20 ? A. 12 B. 13 C. 14 D. 15 E. 16 Source: Others | Difficulty: Hard
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C-14
x+3y+8z=20
for z=2; y (1,0)
for z=1; y(4,3,2,1,0)
for z=0; y(6,5...0)
2+5+7=14

gmatophobia
DS Question 1 - Apr 05 If ac/(db) < 0, is d – b < 0 ? (1) |a − c| = |a| − |c| (2) d – b > d + b Source: Others | Difficulty: Medium
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ac/db <0; odd num of variables are -ve

gmatophobia
DS Question 1 - Apr 05 If ac/(db) < 0, is d – b < 0 ? (1) |a − c| = |a| − |c| (2) d – b > d + b Source: Others | Difficulty: Medium
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ac/db <0; odd num of variables are -ve
1) both a&c have same sign; insufficient
2) b is -ve; d can be either; insufficient
1&2) if d>b & d is -ve; yes
if d<b; no

E

sorry d is always +ve;
Answer is C
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Practice Questions Chat Updated on: 07 Apr 2023, 22:43
Originally posted by wickedvikram on 07 Apr 2023, 22:38.
Last edited by wickedvikram on 07 Apr 2023, 22:43, edited 2 times in total.
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PS Question 1 - Apr 04 If x^3 < 16x which of the following includes at least some of the possible solutions for x, but no values that are not solutions? A. |x| < 4 B. x < 4 C. x > 4 D. x < -4 E. x > 0 Source: Manhattan | Difficulty: Hard
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D
Satisfy the condition for below eqn for ranges using -4,0,4
x<-4 ; -4<x<0; 0<x<4, x>4
x(x-1

D
Satisfy the condition for below eqn for ranges using -4,0,4
x<-4 ; -4<x<0; 0<x<4, x>4
x(x-4)(x+4)<0
Only x<-4 & 0<x<4 confirms

gmatophobia
DS Question 1 - Apr 04 Is the positive integer x even? (1) x is NOT divisible by n!, where n is a positive integer. (2) x^2 is divisible by n!, where n is a positive integer. Source: GMAT Club Tests | Difficulty: Hard
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C;
stmt 1 - insufficient; x can be 3,4,5, .....
stmt 2 - all factorials are even except 1!; insufficient
1&2) sufficient; 1 is thrown out by stmt 1
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Practice Questions Chat Updated on: 08 Apr 2023, 12:26
Originally posted by gmatophobia on 08 Apr 2023, 12:21.
Last edited by gmatophobia on 08 Apr 2023, 12:26, edited 3 times in total.
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DS Question 1 - Apr 07 The average score of x number of exams is y. When an additional exam of score z is added in, does the average score of the exams increase by 50%? (1) 3x = y (2) 2z - 3y = xy Source: Manhattan | Difficulty: Medium
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Show SpoilerOA
B

gmatophobia
PS Question 1 - Apr 07 A boarding school accommodating 400 students has provided a locker to each student. On Christmas eve, Santa places a pen in every other locker, a box of chocolate in every third locker and a bottle of wine in every fifth locker starting with the second locker for a pen, the third locker for a box of chocolate and fifth one for a bottle of wine. How many students have got none of the three gifts? A. 120 B. 110 C. 106 D. 90 E. 56 Source: Others | Difficulty: Hard
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Show SpoilerOA
C

DS Question 1 - Apr 08

At a particular school, 60 male students play sports. How many male students attend the school?

(1) At the school, 3/4 of the female students play sports.
(2) At the school, 1/4 of the students do not play sports.

Source: Other | Difficulty: Hard

PS Question 1 - Apr 08

Positive integer z leaves the remainder of 1 when divided by 3, the remainder of 3 when divided by 5 and the remainder of 5 when divided by 7. What is the smallest possible value of z?

A. 101
B. 103
C. 105
D. 107
E. 208

Source: GMAT Club Tests | Difficulty: Medium
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Practice Questions Chat Updated on: 09 Apr 2023, 02:52
Originally posted by wickedvikram on 09 Apr 2023, 02:50.
Last edited by wickedvikram on 09 Apr 2023, 02:52, edited 1 time in total.
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gmatophobia
DS Question 1 - Apr 08 At a particular school, 60 male students play sports. How many male students attend the school? (1) At the school, 3/4 of the female students play sports. (2) At the school, 1/4 of the students do not play sports. Source: Other | Difficulty: Hard
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C;
M. F.
S+. 60. 3y/4. 3(x+y)/4
S- x-60. y/4. (x+y)/4
x. y. x+y
Eqns:
60+3y/4=3(x+y)/4
x-60+y/4=(x+y)/4
solve anyone, x=80

gmatophobia
PS Question 1 - Apr 08 Positive integer z leaves the remainder of 1 when divided by 3, the remainder of 3 when divided by 5 and the remainder of 5 when divided by 7. What is the smallest possible value of z? A. 101 B. 103 C. 105 D. 107 E. 208 Source: GMAT Club Tests | Difficulty: Medium
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z=3p+1=5q+3=7q+5
lcm(3,5,7): 105
remainder: 1,3,5; Common among them (-2)
105-2=103
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