Author 
Message 
Intern
Joined: 15 Oct 2014
Posts: 17

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
09 Feb 2017, 05:41
MathRevolution wrote: If (n+2)!/n!=156, n=? A. 2/131 B. 9 C. 10 D. 11 E. 12
==> From (n+2)!/n!=156 and (n+2)(n+1)n!/n!=(n+2)(n+1)=156=13*12, you get n+2=13, n=11.
Therefore, the answer is D Adding to this since it's a quadratic we will get 2 solutions 11,14 but since 14 is not an option so n=11 is correct. Sent from my iPhone using GMAT Club Forum mobile app



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
12 Feb 2017, 18:25
What is the difference between the circumferences of 2 circles such that the diameters of the circles are 10 and 11? A. \(\frac{π}{2}\) B. \(π\) C. \(3\frac{π}{2}\) D. \(2π\) E. \(5\frac{π}{2}\) ==> The circumference of a circle is \(π\)d, thus \(π(1110)= π\). Therefore, the answer is B. Answer: B
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
12 Feb 2017, 18:27
What is the number of multiples of 25 between \(5^4\) and\(5^5\), inclusive? A. 75 B. 96 C. 101 D. 121 E. 125 ==> The number of multiples become (lastfirst/n)+1, then you get \(\frac{5^55^4}{25}+1=\frac{(51)5^4}{25}+1=4(5^2)+1=101\). Therefore, the answer is C. Answer: C
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
15 Feb 2017, 01:08
If 1 male, 2 females, and 1 child are to be randomly selected from 8 males, 10 females, and 8 children, how many such cases are possible? A. 980 B. 1,440 C. 1,880 D. 2,480 E. 2,880 ==> You get 8C1*10C2*8C1=(8)(45)(8)=2,880. The answer is E. Answer: E
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
18 Feb 2017, 08:04
What is the range of 30 consecutive even numbers? A. 54 B. 56 C. 58 D. 60 E. 62 ==> The number of consecutive numbers become (lastfirst/2)+1=(range/2)+1. In other words, from (range/2)+1=30, you get range/2=29, range=2(29)=58. The answer is C. Answer: C
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
18 Feb 2017, 08:08
\(8^1^08^2\) is the approximation of which of the following? A. \(8^7\) B. \(8^8\) C. \(8^9\) D. \(8^1^0\) E. \(8^1^1\) ==> You get \(8^1^08^2=(8^81)8^2≒(8^8)(8^2)=8^1^0\). The answer is D. Answer: D
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
19 Feb 2017, 18:45
When \(f(x)=x^2(1x)^2\), which of the following is equal to f(1x)? A. f(x) B. f(x)/x C. f(x2) D. f(x2) E. f(1) ==> You get \(f(1x)=(1x)^2(1(1x))^2=(1x)^2x^2=f(x)\). Therefore, the answer is A. Answer: A
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
19 Feb 2017, 18:47
Which of the following equivalent to \((1/8)^4\)? A. \((0.5)^5\) B. \((0.25)^3\) C. \((0.25)^6\) D. \((0.4)^3\) E. \((0.8)^2\) ==> You get \((1/8)^4=((1/2)^3)^4=(1/2)^1^2=((1/2)^2)^6=(1/4)^6=(0.25)^6\). Therefore, the answer is C. Answer: C
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
23 Feb 2017, 01:10
What is the difference between the hypotenuse’s length of the right triangle with 2 shorter sides of 10 and 24 and the hypotenuse’s length of the right triangle with 2 shorter sides of 7 and 24? A. 1 B. 2 C. 3 D. 4 E. 5 ==>For Pythagorean Theorem, 5:12:13=10:24:26 and 7:24:25 appear most frequently. Thus, the length of hypotenuse each becomes 26 and 25, and the difference becomes 2625=1. The answer is A. Answer: A
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
24 Feb 2017, 02:14
10+8÷3×62=? A. 24 B. 34 C. 22 D. 12 E. 11 ==> When calculating the numbers, even if there are no brackets, multiplication and division come first. You get 10+8÷3×62=10+(8/3)62=10+162=24. The answer is A. Answer: A
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Manager
Joined: 21 Feb 2017
Posts: 81

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
25 Feb 2017, 23:20
MathRevolution wrote: In the x y plane, there are 4 points (0,0), (0,4), (6,4), and (6,0). If these 4 points makes a rectangle, what is the probability that x+y<4? A. 1/2 B. 1/3 C. 1/4 D. 1/5 E. 2/5
ANS: As you can see from the diagram below, the correct answer is 1/3. Hence, B is our answer choice. Please describe how 1/3 is correct?



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
26 Feb 2017, 21:30
Attachment:
1.png [ 2.59 KiB  Viewed 327 times ]
There is a circle inscribed in a square, shown on the above figure. If the length of the square is 2, what is the area of one of the 4 regions shaded? A. \(1π\) B. \(2π\) C. \(4π\) D. \(1(\frac{π}{2})\) E. \(1(\frac{π}{4})\) ==> The area of the squarearea of the \(circle=2^2 π=4 π\), and since it asks for one of the 4 regions shaded, you get \(\frac{4 π}{4}=1(\frac{π}{4})\). The answer is E. Answer: E
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
26 Feb 2017, 21:34
What is the scope including 1/11+1/12+1/13+......+1/20? A 1/6~1/5 B. 1/5~1/4 C. 1/4~1/3 D. 1/3~1/2 E. 1/2~1 ==>The sum of consecutive reciprocal number sequence is decided by the first number and the last number. Thus, from 10/20=1/11+1/12+.....+1/20<1/11+1/12+.....+1/20<1/11+1/12+.....+1/20=10/11, you get 1/2=10/20<1/11+1/12+.....+1/20<10/11<1, which becomes 1/2~1. Therefore, the answer is E. Answer: E
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Math Revolution Approach (PS) [#permalink]
Show Tags
Updated on: 26 Feb 2017, 22:23
MathRevolution wrote: In the x y plane, there are 4 points (0,0), (0,4), (6,4), and (6,0). If these 4 points makes a rectangle, what is the probability that x+y<4? A. 1/2 B. 1/3 C. 1/4 D. 1/5 E. 2/5
ANS: As you can see from the diagram below, the correct answer is 1/3. Hence, B is our answer choice.
Attachments
1.png [ 10.85 KiB  Viewed 308 times ]
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Math Revolution Approach (PS) [#permalink]
Show Tags
26 Feb 2017, 21:55
As you can see from the diagram above, the area of the red rectangle is 24 and the area of the triangle below green line is 8. The ratio of the area of the triangle to that of the red rectangle is 1/3. Hence, B is our answer choice.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Math Revolution Approach (PS) [#permalink]
Show Tags
26 Feb 2017, 22:14
awdxzs wrote: MathRevolution wrote: If (n+2)!/n!=156, n=? A. 2/131 B. 9 C. 10 D. 11 E. 12
==> From (n+2)!/n!=156 and (n+2)(n+1)n!/n!=(n+2)(n+1)=156=13*12, you get n+2=13, n=11.
Therefore, the answer is D Adding to this since it's a quadratic we will get 2 solutions 11,14 but since 14 is not an option so n=11 is correct. Sent from my iPhone using GMAT Club Forum mobile appHello, goalMBA1990 The area of the red rectangle is 24 and the area of the triangle below green line is 8. The ratio of the area of the triangle to that of the red rectangle is 1/3.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
26 Feb 2017, 22:22
As you can see from the diagram above, the area of the red rectangle is 24 and the area of the triangle below the green line is 8. The ratio of the triangle area to the red rectangle area is 8/24 or 1/3. Hence, B is our answer choice.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
26 Feb 2017, 22:25
As you can see from the diagram below, the area of the red rectangle is 24 and the area of the triangle below green line is 8. The ratio of the area of the triangle to that of the red rectangle is 1/3. Hence, B is our answer choice.
Attachments
1.png [ 10.85 KiB  Viewed 308 times ]
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
01 Mar 2017, 04:50
40,105*26*10,112 is the approximation of which of the following? A. \(10^8\) B. \(10^9\) C. \(10^1^0\) D. \(10^1^1\) E. \(10^1^2\) ==> You get \(40,105*26*10,112≒40,000*25*10,000=100*10^4*10^4=10^2*10^4*10^4=10^2^+^4^+^4=10^1^0\). The answer is C. Answer: C
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5267
GPA: 3.82

Re: Math Revolution Approach (PS) [#permalink]
Show Tags
02 Mar 2017, 01:39
The standard deviation of which of the following is equivalent with that of \({m, r, p, n}\)? A. {\({2m, 2r, 2p, 2n}\)} B. {\({m+2, r+2, p+2, n+2}\)} C. {\({m, r, p, n}\)} D. {\({\frac{1}{m}, \frac{1}{r}, \frac{1}{p}, \frac{1}{n}}\)} E. {\({m^2, r^2, p^2, n^2}\)} ==> For standard deviation, if the elements move in parallel, they have the same standard deviation. Thus, the standard deviation of {m, r, p, n} is equal to the standard deviation of {m+2, r+2, p+2, n+2}. Therefore, the answer is B. Answer: B
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly 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 Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"




Re: Math Revolution Approach (PS)
[#permalink]
02 Mar 2017, 01:39



Go to page
Previous
1 ... 5 6 7 8 9 10 11 ... 23
Next
[ 448 posts ]



