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Quant Question of the Day Chat

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AkshiSri
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Aug 2023, 07:48
what-is-the-units-digit-of-415704.html#p3236165


Can anyone please explain this?
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Aug 2023, 08:21
Last year Shannon listened to a certain public radio station 10 hours per week and contributed $35 to the station. Of the following, which is closest to Shannon’s contribution per minute of listening time last year?
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Aug 2023, 09:26
AkshiSri wrote:
https://gmatclub.com/forum/what-is-the- ... l#p3236165 Can anyone please explain this?

to solve such questions, calculate the cyclicity of the unit digit. For e.g take 2. When you raise it to the power of 1,2,3,4 and so on the result is 2,4,8,16,32,64,.... so on... so you see here that the unit digit pattern repeats after every 4th iteration i.e. 2,4,8,6,2,4,8,6,2, .... the cyclicity is 4. This way you can check pattern for any number. In this particular question we are asked 3^7 * 2^8 * 7^22.

So here 3^7 will give unit digit as 7, 2^8 will give unit digit as 6 and 7^22 will give unit digit as 9. Now 7*6*9 = 378. Hence unit digit is 8
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Arpit_Bhardwaj
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Aug 2023, 12:01
Pt_10 wrote:
Last year Shannon listened to a certain public radio station 10 hours per week and contributed $35 to the station. Of the following, which is closest to Shannon’s contribution per minute of listening time last year?

Could you provide with option please?

AkshiSri wrote:
https://gmatclub.com/forum/what-is-the- ... l#p3236165 Can anyone please explain this?

As explained above the unit digts tends to repeat themselves and hence just need to find the cycle and calculate the units digit.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   09 Aug 2023, 07:02
Hello, can someone please suggest where I can go through all statistics concepts asked in GMAT (especially around topics such as mean, mode, median, standard deviation)?
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   09 Aug 2023, 07:13
DG1989 wrote:
to solve such questions, calculate the cyclicity of the unit digit. For e.g take 2. When you raise it to the power of 1,2,3,4 and so on the result is 2,4,8,16,32,64,.... so on... so you see here that the unit digit pattern repeats after every 4th iteration i.e. 2,4,8,6,2,4,8,6,2, .... the cyclicity is 4. This way you can check pattern for any number. In this particular question we are asked 3^7 * 2^8 * 7^22.

Thank you for explaining
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   09 Aug 2023, 08:50
Can anyone link me to a primer on things to know for standard deviation for gmat?
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   10 Aug 2023, 02:23
DS Question 1 - Aug 10

If (x + y)/ z < 0 and z not equal to 0, then is the average of x, y, and z greater than zero?

(1) z = -5 and the range of x, y, and z is 6.

(2) x + y = 2 and the range of x, y, and z is 6.

Source: Kaplan | Difficulty: Hard

PS Question 1 - Aug 10

Tom and Jerry are filling up 500 water balloons apiece. It takes Tom 2 hours longer than Jerry to fi up 500 balloons. Jerry can fill 50% more balloons per hour than Tom. How many water balloons pe hour can Jerry fill?

A. 125
B. 150
C. 180
D. 200
E. 250

Source: TTP | Difficulty: Medium
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   11 Aug 2023, 22:24
gmatophobia wrote:
DS Question 1 - Aug 10 If (x + y)/ z < 0 and z not equal to 0, then is the average of x, y, and z greater than zero? (1) z = -5 and the range of x, y, and z is 6. (2) x + y = 2 and the range of x, y, and z is 6. Source: Kaplan | Difficulty: Hard

Both statements are sufficient alone to answer

Deepihu wrote:
Both statements are sufficient alone to answer

A If Z is negative x+y will be positiive so values of x or y would be 1 hence avg will be lesser than zero
B if x+y is positive therefore z will be negative with value -2 or -1 and avg may be above zero or below zero
Therefore A alone is sufficient
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   11 Aug 2023, 22:46
gmatophobia wrote:
DS Question 1 - Aug 07 Set S has six numbers and their average (arithmetic mean) is 32. What is the median of the numbers? 1) The six numbers are greater than or equal to 31 2) There is “37” in set S Source: Math Revolution | Difficulty: Hard

Both 1 & 2 together

vishwathols wrote:
D

No is less than 100 so two values to be excluded

gmatophobia wrote:
DS Question 1 - August 04 The average (arithmetic mean) of a list of positive numbers is what percent of the sum of the numbers? (1) The sum of the numbers in the list is 150. (2) There are 25 numbers in the list. Source: GMAT Club Tests | Difficulty: Medium

Both 1&2 together

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PS Question 1 - August 04 30^20 - 20^20 is divisible by all of the following values, EXCEPT: A) 10 B) 25 C) 40 D) 60 E) 64 Source: GMATPrepNow | Difficulty: Hard

60

gmatophobia wrote:
PS Question 1 - August 04 30^20 - 20^20 is divisible by all of the following values, EXCEPT: A) 10 B) 25 C) 40 D) 60 E) 64 Source: GMATPrepNow | Difficulty: Hard

D i e 60
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   12 Aug 2023, 00:51
poojaarora1818 wrote:
I am not sure but IMO it’s A

Sorry, I had made a mistake. Instead of A it should be option D i.e. 24
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   13 Aug 2023, 14:44
Hello friends

Chai pelo
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   13 Aug 2023, 15:33
hey guys, sorry to disturb, is there anyone here attempting French universities?
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abhishek12321
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   13 Aug 2023, 21:12
P is a two-digit number, what is the unit’s digit of P?
1) The unit’s digit of 7P is 3
2) The unit’s digit of 6P is 6. can you explain?
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   13 Aug 2023, 21:16
abhishek12321 wrote:
P is a two-digit number, what is the unit’s digit of P? 1) The unit’s digit of 7P is 3 2) The unit’s digit of 6P is 6. can you explain?

1 st alone is sufficient
As 7*9 = x3 so unit digit will 9
Whereas in second it may be 1 or 6
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   14 Aug 2023, 02:19
DS Question 1 - Aug 14

Is x^2-5x+6 = |x-2|*|x-3|?

(1) x > 2.
(2) x > 3.

Difficulty: Medium | Source: Others

PS Question 1 - Aug 14

Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope, what is the maximum possible length, in centimeters, of the longest piece of rope?

(A) 82
(B) 118
(C) 120
(D) 134
(E) 152

Difficulty: Hard | Source: Official Guide
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   14 Aug 2023, 02:27
gmatophobia wrote:
DS Question 1 - Aug 14 Is x^2-5x+6 = |x-2|*|x-3|? (1) x > 2. (2) x > 3. Difficulty: Medium | Source: Others

As
X^2 - 5X + 6 = zero for x 2 and 3 ssme is RHS hence for all values => 2

Ontherox wrote:
B

Put 2 ans will be zero
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   14 Aug 2023, 02:28
2.5?

RHS is always positive. LHS also has to be positive.

Ontherox wrote:
2.5?

Try negative values also

gmatophobia wrote:
PS Question 1 - Aug 14 Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope, what is the maximum possible length, in centimeters, of the longest piece of rope? (A) 82 (B) 118 (C) 120 (D) 134 (E) 152 Difficulty: Hard | Source: Official Guide

134?
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   14 Aug 2023, 02:38
gmatophobia wrote:
PS Question 1 - Aug 14 Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope, what is the maximum possible length, in centimeters, of the longest piece of rope? (A) 82 (B) 118 (C) 120 (D) 134 (E) 152 Difficulty: Hard | Source: Official Guide

134
Arrange in ascending values
X1 + x2 + x3......x7
X7= 4*x1 + 14
X4 median so x4 = 84
To maximise x7 values of x4 x5 x6 to be equal as avg is in left side of median
x1 x2 x3 all to be equal.
Final eq
3x1+ x7 = 224
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   14 Aug 2023, 04:25
gmatophobia wrote:
DS Question 1 - Aug 14 Is x^2-5x+6 = |x-2|*|x-3|? (1) x > 2. (2) x > 3. Difficulty: Medium | Source: Others

As x^2 - 5x + 6 can be expressed as (x - 2)(x - 3) we need to check if (x - 2)(x - 3) = |x - 2| * |x - 3| or (x - 2) (x - 3) is +ve; Statement 1: x > 2, Hence (x - 3) is >= 0 but (x - 2) < 0, hence insufficient; Statement 2: x > 3 , Hence both (x - 2) and (x -3) > 0. Hence sufficient. Answer is B
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Re: Quant Question of the Day Chat [#permalink]
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