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Math Revolution Approach (PS)

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Intern
Intern
User avatar
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Status: GMAT in July 2018
Joined: 05 Mar 2018
Posts: 14
Location: India
Concentration: Leadership, Strategy
WE: Law (Consulting)
Re: Math Revolution Approach (PS) [#permalink]

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New post 13 Apr 2018, 19:48
MathRevolution wrote:
A ball dropped from a certain height. The height that it reached after rebounding from the floor was 60 percent of the initial height. The height was 292cm when it touched the floor for the third time. What was the initial height?
A. 80cm
B. 90cm
C. 100cm
D. 120cm
E. 130cm

ANS: If we consider the initial height as x, then from x+2(60%)x+2(60%)^2(x)=292, we get x=100. Hence, the correct answer is C.


So initial height is less than the height reached in the third rebound? Strange.


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Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
Posts: 5247
GMAT 1: 800 Q59 V59
GPA: 3.82
Re: Math Revolution Approach (PS) [#permalink]

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New post 15 Apr 2018, 18:45
[GMAT math practice question]

Which of the following is equal to x!/(x+1)! + (x+1)!/(x+2)!?

A. 1+1/x
B. 1+1/(x+1)
C. (2x+3)/(x+1)(x+2)
D. 1/{ x(x+1) }
E. (2x-1)/{(x+1)(x+2)}

=>

x! / ( x + 1 )! + ( x + 1 )! / ( x + 2 )!
= x! / {x! * (x+1)} + (x+1)! / { (x+1)! * (x+2) }
= 1/(x+1) + 1/(x+2) = (2x+3)/(x+1)(x+2)

Therefore, C is the answer.
Answer: C
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Expert Post
Math Revolution GMAT Instructor
User avatar
D
Joined: 16 Aug 2015
Posts: 5247
GMAT 1: 800 Q59 V59
GPA: 3.82
Re: Math Revolution Approach (PS) [#permalink]

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New post 15 Apr 2018, 18:47
[GMAT math practice question]

Alice is paid at a constant rate of $x per hour for the first 40 hours she works and $30 for each hour she works after the first 40 hours. If Alice works 48 hours and earns $920, what is the value of x?

A. $15
B. $16
C. $17
D. $18
E. $19

=>

Total pay = (rate for first 40 hours)*40 hours + ($30)*(number of additional hours)
x * 40 + ( 48 – 40 ) * 30 = 920
x*40 + 8*30 = 920
x * 40 + 240 = 920
x * 40 = 680
x = 680 / 40 = 17

Therefore, C is the answer.
Answer: C
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Expert Post
Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
Posts: 5247
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GPA: 3.82
Re: Math Revolution Approach (PS) [#permalink]

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New post 18 Apr 2018, 04:55
[GMAT math practice question]

Which of the following relationships must be inversely proportional to each other?

I. Work done and working time
II. Speed and Traveling Time
III. Profit and Cost

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

=>

Statement I
Let R be the work rate, W be the work done and T be the working time. Then R = W/T and T = W*R. Therefore, T and W are directly proportional.

Statement II
Let V be the speed, D be the distance and T be the traveling time. Then
V = D/T, and V and T are inversely proportional.

Statement III
Let P be the profit, R be the revenue and C be the cost. Then
P = R – C, and P and C are neither directly nor inversely proportional.

Therefore, B is the answer.

Answer B
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Expert Post
Math Revolution GMAT Instructor
User avatar
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Joined: 16 Aug 2015
Posts: 5247
GMAT 1: 800 Q59 V59
GPA: 3.82
Re: Math Revolution Approach (PS) [#permalink]

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New post 19 Apr 2018, 02:49
[GMAT math practice question]

Attachment:
4.17.png
4.17.png [ 2.34 KiB | Viewed 10 times ]


The above table shows a set of scores and their frequencies. If the median score is not one of the scores displayed in the table, which of the following could be the value of x?
A. 6 B. 7 C. 8 D. 9 E. 10

=>

If x = 6, the median is 12.5.
If x = 7, 8, 9, or 10, the median is 12.

Since 12.5 is not shown on the table, the answer is 6.

Therefore, the answer is A.

Answer: A
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Re: Math Revolution Approach (PS)   [#permalink] 19 Apr 2018, 02:49

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