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# Quant Question of the Day Chat

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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 1 - Mar 05 If x is chosen at random from the set {2, 3, 4, 5}, y is chosen at random from the set {5, 6, 7}, and z is chosen at random from the set {7, 8, 9}, what is the probability that x + y + z will be greater than 19 ? A. 1/3 B. 2/9 C. 1/9 D. 1/18 E. 1/36 Source: GMATNinja | Difficulty: Medium

Possible cases:
x=5, y=6, z=9
x=5,y=7 z=8
x=5, y=7, z=9
x=4, y=7, z=9

4 total cases
4/(4*3*3)=1/9

C.

A more methodical method:
Look at set X and Y. The highest value it can take is 12 (7+5) so the lowest values of Z possible is 8.
That means x and y must sum to at least 11. If the sum is exactly 11, Z must be 9, otherwise if its greater it can be 8 or 9.

Originally posted by mysterymanrog on 06 Mar 2023, 05:39.
Last edited by mysterymanrog on 06 Mar 2023, 05:44, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
[quote="gmatophobia"] DS Question 1 - Mar 05 At a certain animal shelter, there are nine dogs available for adoption. If Susan chooses two dogs at random and p is the probability that Susan chooses two labradors, is p =3 makes condition on "p" true, hence we have check if number of Labradors =3 ?

STATEMENT 1:

we can form equation :
(x/9 * y/8) + (y/9 * x/8) > 1/2

2xy > 1/2 * 72
x(9-x) > 18

we can test some values of x starting from 9 to 0 descending we find only x=5 or x=4 satisfy the above condition. so x 1/10
y(y-1) > 7.2

trying you values of y, we get y=4 onwards all values satisfy the condition above. so y>=3 holds true as asked in question stem. so statement is also sufficient.

BOTH statement is sufficient ?
option D
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
DS Question 1 - Mar 05 At a certain animal shelter, there are nine dogs available for adoption. If Susan chooses two dogs at random and p is the probability that Susan chooses two labradors, is p < 1/2 ? (1) The probability of picking one labrador and one non-labrador is greater than 1/2. (2) The probability that neither dog selected is a Labrador is greater than 1/10. Source: GMATNinja | Difficulty: Hard

D

gmatophobia wrote:
PS Question 1 - Mar 05 If x is chosen at random from the set {2, 3, 4, 5}, y is chosen at random from the set {5, 6, 7}, and z is chosen at random from the set {7, 8, 9}, what is the probability that x + y + z will be greater than 19 ? A. 1/3 B. 2/9 C. 1/9 D. 1/18 E. 1/36 Source: GMATNinja | Difficulty: Medium

C

DS Question 1 - Mar 07

If a = |b - 6| + |b + 2|, what is the value of a ?

(1) a is an integer greater than 7
(2) -2 < b < 6

Source: GMATNinja | Difficulty: Hard

PS Question 1 - Mar 07

If Z = 10^x + 10^y + 10^z , in which x, y, z are distinct positive integers. How many different values of Z are possible if Z < 10^9?

a) 24
b) 34
c) 56
d) 84
e) 120

Source: Others | Difficulty: Hard

Originally posted by gmatophobia on 06 Mar 2023, 23:30.
Last edited by gmatophobia on 06 Mar 2023, 23:34, edited 3 times in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
DS Question 1 - Mar 07 If a = |b - 6| + |b + 2|, what is the value of a ? (1) a is an integer greater than 7 (2) -2 < b < 6 Source: GMATNinja | Difficulty: Hard

From observation , we see if either of x,y,or z has be less than 9 , else z would be greater than 10^9. so max value of either of x,y,or z is 8. And since it is also given x,y,z are distinct +ve int. then we have max value x,y,z can be 8*7*6/3! ( as 10^1+10^2+10^3 is same as 10^3+10^2+10^1). Answer is C

gmatophobia wrote:
DS Question 1 - Mar 07 If a = |b - 6| + |b + 2|, what is the value of a ? (1) a is an integer greater than 7 (2) -2 < b < 6 Source: GMATNinja | Difficulty: Hard

B ??

Originally posted by rickyric395 on 07 Mar 2023, 03:16.
Last edited by rickyric395 on 07 Mar 2023, 03:23, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
DS Question 1 - Mar 07 If a = |b - 6| + |b + 2|, what is the value of a ? (1) a is an integer greater than 7 (2) -2 < b < 6 Source: GMATNinja | Difficulty: Hard

B, since every value of a when -2 < b < 6 is 8.
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Re: Quant Question of the Day Chat [#permalink]
Can we create something similar for whatsap? Many people dont longin daily to this chat, just a good for thought.
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Re: Quant Question of the Day Chat [#permalink]
bb wrote:
If m, n and p are positive integers such that (p^m)^n=256, which of the following could be the value of nn?

I. 1
II. 2
III. 4

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

I never liked those Roman Numeral questions frankly....

This can be rewritten as p^(m*n)=256.

16^2 = 256
4^4 = 256
2^8 = 256

16^2=4^2=2^8

Thus, m*n can be 2, 4, or 8.

Then possible values of n = 1, 2, 4, 8

So, possible values of n*n = 1, 4, 16, 64

B. I & III
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Re: Quant Question of the Day Chat [#permalink]
Rohstar750 wrote:
Can we create something similar for whatsap? Many people dont longin daily to this chat, just a good for thought.

We also don’t encourage use of 3rd party messengers. The reason we have this chat group is to collaborate and learn.

Rohstar750 wrote:
Can we create something similar for whatsap? Many people dont longin daily to this chat, just a good for thought.

We don’t encourage use of 3rd party messengers. The reason we have this chat group is to collaborate and learn.

Originally posted by gmatophobia on 08 Mar 2023, 13:57.
Last edited by gmatophobia on 08 Mar 2023, 13:58, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
DS Question 1 - Mar 07 If a = |b - 6| + |b + 2|, what is the value of a ? (1) a is an integer greater than 7 (2) -2 < b < 6 Source: GMATNinja | Difficulty: Hard

B

gmatophobia wrote:
PS Question 1 - Mar 07 If Z = 10^x + 10^y + 10^z , in which x, y, z are distinct positive integers. How many different values of Z are possible if Z < 10^9? a) 24 b) 34 c) 56 d) 84 e) 120 Source: Others | Difficulty: Hard

C

PS Question 1 - Mar 09

Fox jeans regularly sell for \$15 a pair and Pony jeans regularly sell for \$18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of \$9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans?

A. 9%
B. 10%
C. 11%
D. 12%
E. 15%

Source: GMAT Paper Tests | Difficulty: Hard

DS Question 1 - Mar 09

Joe earned x dollars the first day he worked in December, where x is an integer. For each day after the first that he worked in December, Joe earned twice the amount he earned on the previous day. Did Joe earn less than \$35 on the 4th day he worked in December?

(1) Joe earned more than \$120 in total for the first five days he worked in December.
(2) Joe earned less than \$148 on the 6th day he worked in December.

Source: Manhattan Prep | Difficulty: Hard

Originally posted by gmatophobia on 08 Mar 2023, 22:59.
Last edited by gmatophobia on 08 Mar 2023, 23:01, edited 2 times in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 1 - Mar 09 Fox jeans regularly sell for \$15 a pair and Pony jeans regularly sell for \$18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of \$9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans? A. 9% B. 10% C. 11% D. 12% E. 15% Source: GMAT Paper Tests | Difficulty: Hard

System of equations: let x be discount on Fox jeans and y discount on Pony jeans.

gmatophobia wrote:
PS Question 1 - Mar 09 Fox jeans regularly sell for \$15 a pair and Pony jeans regularly sell for \$18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of \$9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans? A. 9% B. 10% C. 11% D. 12% E. 15% Source: GMAT Paper Tests | Difficulty: Hard

B.

gmatophobia wrote:
DS Question 1 - Mar 09 Joe earned x dollars the first day he worked in December, where x is an integer. For each day after the first that he worked in December, Joe earned twice the amount he earned on the previous day. Did Joe earn less than \$35 on the 4th day he worked in December? (1) Joe earned more than \$120 in total for the first five days he worked in December. (2) Joe earned less than \$148 on the 6th day he worked in December. Source: Manhattan Prep | Difficulty: Hard

A.

Originally posted by jayke on 09 Mar 2023, 06:24.
Last edited by jayke on 09 Mar 2023, 06:31, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 1 - Mar 09 Fox jeans regularly sell for \$15 a pair and Pony jeans regularly sell for \$18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of \$9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans? A. 9% B. 10% C. 11% D. 12% E. 15% Source: GMAT Paper Tests | Difficulty: Hard

B

gmatophobia wrote:
DS Question 1 - Mar 09 Joe earned x dollars the first day he worked in December, where x is an integer. For each day after the first that he worked in December, Joe earned twice the amount he earned on the previous day. Did Joe earn less than \$35 on the 4th day he worked in December? (1) Joe earned more than \$120 in total for the first five days he worked in December. (2) Joe earned less than \$148 on the 6th day he worked in December. Source: Manhattan Prep | Difficulty: Hard

B

PS Question 1 - Mar 10

If (a + b) = 4, and ab = 7/4, what is the value of a^2 – b^2?

A. -12
B. 12
C. Either A or B
D. 16
E. None

Source: Official Guide | Difficulty: Medium

DS Question 1 - Mar 10

Is x > y^2?

(1) x > y + 5

(2) x^2 - y^2 = 0

Source: GMAT Club Tests | Difficulty: Hard

Originally posted by gmatophobia on 09 Mar 2023, 23:48.
Last edited by gmatophobia on 09 Mar 2023, 23:49, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 1 - Mar 10 If (a + b) = 4, and ab = 7/4, what is the value of a^2 – b^2? A. -12 B. 12 C. Either A or B D. 16 E. None Source: Official Guide | Difficulty: Medium

a^2-b^2 = (a+b)(a-b) , we already know a+b , so for (a-b)^2 can be written as (a+b)^2-4ab , hence a-b = 3 or -3, hence a^2-b^2 = 4*3 i.e 12 or 4*-3 =-12
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 1 - Mar 10 If (a + b) = 4, and ab = 7/4, what is the value of a^2 – b^2? A. -12 B. 12 C. Either A or B D. 16 E. None Source: Official Guide | Difficulty: Medium

C

gmatophobia wrote:
DS Question 1 - Mar 10 Is x > y^2? (1) x > y + 5 (2) x^2 - y^2 = 0 Source: GMAT Club Tests | Difficulty: Hard

C

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

Originally posted by gmatophobia on 11 Mar 2023, 00:42.
Last edited by gmatophobia on 11 Mar 2023, 00:53, edited 2 times in total.
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Re: Quant Question of the Day Chat [#permalink]
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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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
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

(10a+b) / (10b+a) = 4:7
=> 2a=b
or b is even, for a number "ab" and "a" is half of "b"
such numbers are = 12,24,36,48
and "ba" to form pair = 21,42,63,84

sum of above all number pairs = 330 option C
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
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

X=YZ+W
find Z
statement1:
W=X-4
so, YZ=4 since X,Y,Z,W are different positive int;
Y=4 OR 1, Y is used to divide the number X, if its 1 there will be no remainder
but W is a positive number, so Y IS NOT hence Y = 4 and Z=1
so sufficient

statement2:
YZ-Z+4=X
still too many variables to account for. not conclusive
(W,Z) = (1,3) , (2,2) SO ON

Option A ?
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
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

C , (10a+b)/(10b+a)=4/7 , we get a=2b , now putting values in b such that 10a+b and 10b+a remains 2 digit numbers , we get 21,42,63,84 (10a+b) and 12,24,36,48 (10b+a) , adding them all we get 330.

gmatophobia wrote:
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

A??

Originally posted by rickyric395 on 11 Mar 2023, 04:41.
Last edited by rickyric395 on 11 Mar 2023, 04:50, edited 1 time in total.
Re: Quant Question of the Day Chat [#permalink]
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