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# Quant Question of the Day Chat

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Re: Quant Question of the Day Chat [#permalink]
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]
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]
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]
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]
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]
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

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

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]
poojaarora1818 wrote:
I am not sure but IMO it’s A

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Re: Quant Question of the Day Chat [#permalink]
Hello friends

Chai pelo
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Re: Quant Question of the Day Chat [#permalink]
hey guys, sorry to disturb, is there anyone here attempting French universities?
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Re: Quant Question of the Day Chat [#permalink]
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]
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]
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]
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]
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]
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]
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]
Is x^2-5x+6 = |x-2|*|x-3|?

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

For this to be true in RHS both the mods should open with the same sign.

Analizing choices.

(1) x>2

If we look at it closely. If x>2 then |x-2| will open with a positive sign.
But dont know anything about the sign of |x-3|. If 2<x<3 then this will be negative but if x>3 then it will be positive.

(2) x>3

We can clearly see thatboth mods will open with positive sign.
Hence this statement is suff to answer this question.

Hence (B) is the suspected correct answer per my logic.
Re: Quant Question of the Day Chat [#permalink]
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