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# Quant Question of the Day Chat

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Re: Quant Question of the Day Chat [#permalink]
PS Question 2 - Nov 15

On the first day, a person mixed juice concentrate with freely available water in the ratio 1:3. On the second day, he mixed the same in the ratio 1:4 and sold the drink at the same price as the first day. If on day 1, the profit on his investment on juice concentrate was 60%, what was that value on day 2?

A. 100%
B. 75%
C. 68%
D. 60%
E. 48%

Source: Experts Global | Difficulty: Hard
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 1 - Nov 15

Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 % fescue. If a mixture of X and Y contains 30% ryegrass, what percent of the weight of the mixture is X?

A. 10%
B. 33 1/3%
C. 40%
D. 50%
E. 66 2/3%

Source: Official Guide | Difficulty : Medium

B

gmatophobia wrote:
DS Question 1 - Nov 15

A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used?

(1) x = y
(2) z = 60

Source: Official Guide | Difficulty: Medium

D

gmatophobia wrote:
PS Question 2 - Nov 15

On the first day, a person mixed juice concentrate with freely available water in the ratio 1:3. On the second day, he mixed the same in the ratio 1:4 and sold the drink at the same price as the first day. If on day 1, the profit on his investment on juice concentrate was 60%, what was that value on day 2?

A. 100%
B. 75%
C. 68%
D. 60%
E. 48%

Source: Experts Global | Difficulty: Hard

A

DS Question 1 - Nov 16

Is x > 0?

(1) |x + 3| = 4x – 3
(2) |x – 3| = |2x – 3|

Source: Manhattan Prep | Difficulty : Hard (Tricky )

Originally posted by gmatophobia on 16 Nov 2022, 00:52.
Last edited by gmatophobia on 16 Nov 2022, 00:57, edited 2 times in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
DS Question 1 - Nov 16

Is x > 0?

(1) |x + 3| = 4x – 3
(2) |x – 3| = |2x – 3|

Source: Manhattan Prep | Difficulty : Hard (Tricky )

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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
DS Question 1 - Nov 16

Is x > 0?

(1) |x + 3| = 4x – 3
(2) |x – 3| = |2x – 3|

Source: Manhattan Prep | Difficulty : Hard (Tricky )

(1) x+3 = 4x -3 OR x+3 = 3-4x
x=2 OR x=0
But if you substitute x=0 back into the equation, you get RHS as negative while LHS is modulus which cannot be negative. So only x=2. SUFFICIENT

(2) x-3 = 2x-3 OR x-3 = 3-2x
x = 0 OR x = 2
Both values satisfy as in this equation, there is modulus each side. INSUFFICIENT
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Re: Quant Question of the Day Chat [#permalink]
av1901 wrote:
gmatophobia wrote:
DS Question 1 - Nov 16

Is x > 0?

(1) |x + 3| = 4x – 3
(2) |x – 3| = |2x – 3|

Source: Manhattan Prep | Difficulty : Hard (Tricky )

(1) x+3 = 4x -3 OR x+3 = 3-4x
x=2 OR x=0
But if you substitute x=0 back into the equation, you get RHS as negative while LHS is modulus which cannot be negative. So only x=2. SUFFICIENT

(2) x-3 = 2x-3 OR x-3 = 3-2x
x = 0 OR x = 2
Both values satisfy as in this equation, there is modulus each side. INSUFFICIENT

Great observation !

PS Question 1 - Nov 16

N is a positive 3-digit integer in which all three digits have the same value. The product 53N is a 5-digit integer comprised of five of the following six digits: 1, 2, 4, 6, 7, 9

Which of the following digits is NOT in the product 53N?
A) 1
B) 2
C) 4
D) 6
E) 7

Source: GMATPrepNow | Difficulty: Hard

Originally posted by gmatophobia on 16 Nov 2022, 04:07.
Last edited by gmatophobia on 16 Nov 2022, 04:09, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
Product 53N meaning that 53N is a product obtained by multiplying 5 of these six given numbers (1,2,4,6,7,9)?
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 1 - Nov 16

N is a positive 3-digit integer in which all three digits have the same value. The product 53N is a 5-digit integer comprised of five of the following six digits: 1, 2, 4, 6, 7, 9

Which of the following digits is NOT in the product 53N?
A) 1
B) 2
C) 4
D) 6
E) 7

Source: GMATPrepNow | Difficulty: Hard

4

Check the last digit when 3 is multiplied by all the given numbers. It can be 4 when 3 is multiplied by 8, Which is not one of the digits.
Ans 4. C

Originally posted by Isaacmuriuki on 16 Nov 2022, 04:46.
Last edited by Isaacmuriuki on 16 Nov 2022, 04:48, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
Isaacmuriuki wrote:
Check the last digit when 3 is multiplied by all the given numbers. It can be 4 when 3 is multiplied by 8, Which is not one of the digits.
Ans 4. C

You’re close, but I couldn’t follow your approach to be honest. I agree the clue lies in the last digit .. but I guess you might need to revisit the logic once

av1901 wrote:
Product 53N meaning that 53N is a product obtained by multiplying 5 of these six given numbers (1,2,4,6,7,9)?

53N is 53 * N , so 53 * N consists of 5 of the six digits mentioned. The question asks, which digit cannot be in the product of 53*N.

Here is a hint in the spoiler if anyone wants to see
(50+3)N = 50N + 3N. The last digit of 53*N will be a multiple of 3

Originally posted by gmatophobia on 16 Nov 2022, 04:56.
Last edited by gmatophobia on 16 Nov 2022, 04:59, edited 2 times in total.
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Re: Quant Question of the Day Chat [#permalink]
Last digit number property. Check multiplication properties
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Re: Quant Question of the Day Chat [#permalink]
Isaacmuriuki wrote:
Last digit number property. Check multiplication properties

According to you - What’s is the value of units place of 53*N ?
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 1 - Nov 16

N is a positive 3-digit integer in which all three digits have the same value. The product 53N is a 5-digit integer comprised of five of the following six digits: 1, 2, 4, 6, 7, 9

Which of the following digits is NOT in the product 53N?
A) 1
B) 2
C) 4
D) 6
E) 7

Source: GMATPrepNow | Difficulty: Hard

B ?

N is 100X+10Y+Z (But all are same value) --> 111X (Hence we can say that N is a multiple of 111) -->

using this we know that N is divisible by 3 as the sum adds up to a multiple of 3. so 53N will also be divisible by 3.

Now, it’s given to us that the product 53N is a 5-digit integer comprised of five of the following six digits: 1, 2, 4, 6, 7, 9

The sum of these 6 numbers come out to be 29. We’re asked to select 5 out of the 6.

So if we subtract "2" from "29" we get "27" which is a multiple of 3.

Hence, "2" shouldn’t be selected out of the given 6 numbers.

Hope it makes sense
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Re: Quant Question of the Day Chat [#permalink]
ChandlerBong wrote:
gmatophobia wrote:
PS Question 1 - Nov 16

N is a positive 3-digit integer in which all three digits have the same value. The product 53N is a 5-digit integer comprised of five of the following six digits: 1, 2, 4, 6, 7, 9

Which of the following digits is NOT in the product 53N?
A) 1
B) 2
C) 4
D) 6
E) 7

Source: GMATPrepNow | Difficulty: Hard

B ?

N is 100X+10Y+Z (But all are same value) --> 111X (Hence we can say that N is a multiple of 111) -->

using this we know that N is divisible by 3 as the sum adds up to a multiple of 3. so 53N will also be divisible by 3.

Now, it’s given to us that the product 53N is a 5-digit integer comprised of five of the following six digits: 1, 2, 4, 6, 7, 9

The sum of these 6 numbers come out to be 29. We’re asked to select 5 out of the 6.

So if we subtract "2" from "29" we get "27" which is a multiple of 3.

Hence, "2" shouldn’t be selected out of the given 6 numbers.

Hope it makes sense

The answer is correct, but IMO there is a better (if not shorter) way to solve this. Anyone else wants to give a try ?
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
DS Question 1 - Nov 16

Is x > 0?

(1) |x + 3| = 4x – 3
(2) |x – 3| = |2x – 3|

Source: Manhattan Prep | Difficulty : Hard (Tricky )

A

gmatophobia wrote:
PS Question 1 - Nov 16

N is a positive 3-digit integer in which all three digits have the same value. The product 53N is a 5-digit integer comprised of five of the following six digits: 1, 2, 4, 6, 7, 9

Which of the following digits is NOT in the product 53N?
A) 1
B) 2
C) 4
D) 6
E) 7

Source: GMATPrepNow | Difficulty: Hard

B

PS Question 2 - Nov 16

Three friends play marbles each week. When they combine their marbles, they have 100 in total. 45 of the marbles are new and the rest are old. 30 are red, 20 are green, 25 are yellow, and the rest are white. What is the probability that a randomly chosen marble is new OR yellow?

A. 4/53

B. 3/13

C. 7/15

D. 1/2

E. 47/80

Source: Others (PS Butler) | Difficulty: Medium

Originally posted by gmatophobia on 16 Nov 2022, 11:08.
Last edited by gmatophobia on 16 Nov 2022, 11:11, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Question 2 - Nov 16

Three friends play marbles each week. When they combine their marbles, they have 100 in total. 45 of the marbles are new and the rest are old. 30 are red, 20 are green, 25 are yellow, and the rest are white. What is the probability that a randomly chosen marble is new OR yellow?

A. 4/53

B. 3/13

C. 7/15

D. 1/2

E. 47/80

Source: Others (PS Butler) | Difficulty: Medium

E

In continuation with the topic posted on Nov 15, here is another topic of the day on Alligation and mixtures. Happy Reading Everyone !

Topic of the day

Posted By: GMAT Whiz Team

Originally posted by gmatophobia on 17 Nov 2022, 00:05.
Last edited by gmatophobia on 17 Nov 2022, 00:09, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
PS Problem 1 - Nov 17

Darla decides to mix lemonade with limeade to make a new drink called citrusade. The lemonade is 50% water, 30% lemon juice, and 20% sugar. The limeade is 40% water, 28% lime juice, and 32% sugar. If the citrusade is more than 45% water and more than 24% sugar, which of the following could be the ratio of lemonade to limeade?

(A) 3 : 1
(B) 7 : 3
(C) 3 : 2
(D) 4 : 5
(E) 3 : 4

Source: Manhattan | Difficulty: Hard
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia wrote:
PS Problem 1 - Nov 17

Darla decides to mix lemonade with limeade to make a new drink called citrusade. The lemonade is 50% water, 30% lemon juice, and 20% sugar. The limeade is 40% water, 28% lime juice, and 32% sugar. If the citrusade is more than 45% water and more than 24% sugar, which of the following could be the ratio of lemonade to limeade?

(A) 3 : 1
(B) 7 : 3
(C) 3 : 2
(D) 4 : 5
(E) 3 : 4

Source: Manhattan | Difficulty: Hard

C
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Re: Quant Question of the Day Chat [#permalink]
DS Question 1 - Nov 17

X grams of water were added to 80 grams of a strong solution of acid. If as a result, the concentration of acid in the solution became 1/Y times of the initial concentration, what was the concentration of acid in the original solution?

(1)X = 80
(2)Y = 2

Source: GMAT Club Tests | Difficulty : Hard
Re: Quant Question of the Day Chat [#permalink]
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