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Problem Solving (PS) | Re: 7/(1/5) + 5/(1/7) =

September 29, 2023, 10:29 am
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Statistics : Posted by bumpbot • on 16 Sep 2018, 22:31 • Replies 8 • Views 7202

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Problem Solving (PS) | Re: Let G and H be positive integers. 2G - 10 > -H and 3H - 20 < -G. If L

September 29, 2023, 10:44 am
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Statistics : Posted by bumpbot • on 28 Sep 2018, 08:11 • Replies 5 • Views 1554

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Problem Solving (PS) | Re: Find K if the number of values of x that satisfy the equation

September 29, 2023, 10:45 am
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Bunuel wrote:

chetan2u wrote:
sarthakaggarwal wrote:
Find K if the number of values of x that satisfy the equation\( |x^2 - 16x +55|=K\) is 3

A 7
B 8
C 9
D 10
E11



\( |x^2 - 16x +55|=K\)
\( |x^2 - 16x +64-9|=K\)
\(|(x-8)^2-3^2|=k\)
\(|(x-8-3)(x-8+3)|=k\)
\(|(x-11)(x-5)|=k\)

\(|(x-11)(x-5)|=|(12-11)(12-5)|=|1*7|=7\)
\(|(x-11)(x-5)|=|(4-11)(4-5)|=|-1*-7|=7\)
So x can be 12 or4

\(|(x-11)(x-5)|=|(7-11)(7-5)|=|-4*2|=8\)
\(|(x-11)(x-5)|=|(9-11)(9-5)|=|-2*4|=8\)
So x can be 7 or9

\(|(x-11)(x-5)|=|(8-11)(8-5)|=|3*3|=9\)
So x can be 8.


How can k as 9 give 3 values ofx??


It's not necessary x to be an integer, so for\( k =9\) ,\( |x^2 - 16x +55|=9\) has threesolutions:
\( x = 8 - 3 \sqrt{2}\);
\( x = 8 + 3 \sqrt{2}\);
\(x=8\) .

If k is 7 or 8, the equation has four solutions, and if k is 10 or 11, the equation has twosolutions.


Please can you explain how K=9?
...

Statistics : Posted by adityashinde88 • on 21 Sep 2021, 08:45 • Replies 5 • Views 2316

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Problem Solving (PS) | Re: Karan and Arjun run a 100-metre race, where Karan beats Arjun by 10 me

September 29, 2023, 11:25 am
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Statistics : Posted by bumpbot • on 08 Jan 2020, 03:39 • Replies 3 • Views 18326

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Problem Solving (PS) | Re: The difference in compound interest earned on a deposit (compounded an

September 29, 2023, 11:25 am
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Statistics : Posted by bumpbot • on 08 Dec 2014, 04:32 • Replies 3 • Views 2769

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Problem Solving (PS) | Re: Jane's investment of $200 increased by 200% in 7 years when compounded

September 29, 2023, 11:31 am
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Statistics : Posted by bumpbot • on 27 Apr 2017, 23:24 • Replies 6 • Views 3250

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Problem Solving (PS) | Re: K, L, M, and N are positive integers. If K is divided by L then we get

September 29, 2023, 11:51 am
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Dyaneth wrote:

K = L*M + N

K/L = L*M/L + N/L
K/L = M + N/L = 80 + 0.025

M = 80
N/L = 0.025 = 1/40
L = 40N

K = 40M*80 + N = 3201N


Correcting the Typo: K= 40N*80+N = 3201N

Option E

Statistics : Posted by tordown8 • on 03 Jun 2023, 10:20 • Replies 2 • Views 896

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Problem Solving (PS) | Re: Jack gave 20% discount on sale of 15 toys & generated revenue of 600$

September 29, 2023, 12:03 pm
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Easiest way to solve is 600/15=40 after discount price
Before discount price - 40/0.8=50
in first part profit per piece is 40-32=8
32 is calculated through as 40 is sp and cp is 40/1.25=32
Now profit is 8*15= 120
And In second part sp is 50 and profit is 18
18*20=360
Total p-360+120=480

Posted from my mobile device

Statistics : Posted by aaravarora2 • on 13 Dec 2017, 05:58 • Replies 7 • Views 2824

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Problem Solving (PS) | Re: What is the value of a + b + c + d?

September 29, 2023, 12:23 pm
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Statistics : Posted by bumpbot • on 06 Jul 2021, 07:45 • Replies 4 • Views 1932

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Problem Solving (PS) | Re: A group of 12 pirates agree to divide a treasure chest of gold coins

September 29, 2023, 12:34 pm
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Statistics : Posted by bumpbot • on 15 Jun 2022, 01:31 • Replies 3 • Views 1061

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Problem Solving (PS) | Re: A school wants all of the students to take at least one science lectur

September 29, 2023, 1:37 pm
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Abhishekgmat87 wrote:

Bunuel wrote:
A school wants all of the students to take at least one science lecture among Physics, Chemistry, and Biology. 30 students took Physics, 25 students took Chemistry, and 17 students took Biology. 2 students took three lectures. 7 students took Physics and Chemistry, 6 students took Chemistry and Biology, 8 students took Biology and Physics. How many students took only 1 science lecture?

A. 33
B. 36
C. 41
D. 51
E. 57


Please refer the venn diagram. 7 students took physics and chemistry. No. of students who took physics and chemistry but not bio is 7-2 = 5. Same way, we get 4 students for chemistry and bio only, 6 students for bio and physics only.

Option B



Why is it 19 and not 17 for P?

Statistics : Posted by Chanovski • on 11 Nov 2021, 07:45 • Replies 6 • Views 2109

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Quantitative | Re: Best GMAT Math Books 2019

September 29, 2023, 2:16 pm
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Braintree wrote:
I just wanted to suggest addingIanStewart 's Books (six) & Problem Sets (four) to the list of the best quants materials out there. I bought his entire set a couple of months back from his website, and cannot praise enough his materials. The following are my observations:

1. The books and the problem sets are super high level. Whereas other course providers want to broaden their customer base, and so dilute the course (and make it boring, for me at least), Ian's materials consistently challenges you and keeps you on your toes.

2. The books are super comprehensive. They do indeed cover almost all the topics that one could expect on the GMAT;

3. The best thing is that you get a peak into the brilliant mind of Ian - how he explains the concepts, how he approaches problems, and even how he designs his problems;

4.Another great part of the books & problem sets are, of course, the problems themselves. Brilliant. Tough. But most importantly, similar to the style of
...

Statistics : Posted by jasicarose75 • on 01 Mar 2017, 17:57 • Replies 11 • Views 212442

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Data Sufficiency (DS) | Re: What is the area of the shaded region in the figure shown?

September 29, 2023, 2:30 pm
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Statement A is sufficient
1/2*AE*h + 1/2*ED*h
1/2*h*[AE+ED]
1/2*h*b= 1/2*54

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Statistics : Posted by YuktiMaheshwari • on 29 Apr 2018, 07:09 • Replies 10 • Views 20458

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Problem Solving (PS) | Re: A certain road trip was completed in two parts interrupted by an hour-

September 29, 2023, 7:07 pm
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Hello from the GMAT Club BumpBot!

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Statistics : Posted by bumpbot • on 02 Feb 2017, 07:25 • Replies 7 • Views 5010

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Problem Solving (PS) | Re: Three workers A, B, C working individually can complete a task

September 29, 2023, 8:32 pm
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Statistics : Posted by bumpbot • on 24 Nov 2020, 08:59 • Replies 15 • Views 11000

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Data Sufficiency (DS) | Re: If x and y are integers, x0 and y0, is x2x>y2y ?

September 29, 2023, 10:07 pm
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Statistics : Posted by bumpbot • on 03 Aug 2020, 09:12 • Replies 4 • Views 1116

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Data Sufficiency (DS) | Re: What is the value of x? (1) |2x 1| = 3x + 6 (2) x^2 = 1

September 29, 2023, 10:11 pm
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Statistics : Posted by bumpbot • on 24 Apr 2017, 04:21 • Replies 8 • Views 6407

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GMAT Club Tests | Re: V33-01

September 29, 2023, 10:28 pm
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The answer explanation is so brief and helpful.

Statistics : Posted by Debasmita89 • on 20 Sep 2021, 02:22 • Replies 2 • Views 1413

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Data Sufficiency (DS) | Re: If a, b, and n are integers

September 29, 2023, 10:42 pm
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gmatophobia wrote:

If\(a\) ,\(b\) , and\(n\) are integers, is\(b^a\) divisible by\(2\) ?

(1)\(b\) is even

(2) The greatest common divisor of\((n-1)\) ,\(n\) , and\((n+1)\) equals\(a!\)



b\(^a\) will be divisible by 2, if b is even and a is a positive integer.

(1)\(b\) is even
If a is positive, then yes. Otherwise no.
Insufficient

(2) The greatest common divisor of\((n-1)\) ,\(n\) , and\((n+1)\) equals\(a!\)[/quote]
n-1, n and n+1 are consecutive number, so their GCD will be 1. Thus a!=1 or a can be 0 or 1.
Nothing about b.
Insufficient


Combined
b is even but a can be 0 or1.
\(b^0\) is 1 and not divisible by2.
\(b^1\) will be even and divisible by 2.
Insufficient


E
...

Statistics : Posted by chetan2u • on 29 Sep 2023, 06:34 • Replies 1 • Views 111

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Data Sufficiency (DS) | Re: Is n divisible by 11 with no remainder?

September 29, 2023, 11:35 pm
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Target is
11 factor of n


(1) n is divisible by m with integer result

M is factor of n
M may or may not be factor of 11
Insufficient

#2
m is divisible by 5.5 with integer result

Value of M is a multiple of 5.5 or say 5&11
no info about N
Insufficient

From 1 &2
We can say since M is multiple of 5 &11
So N has to be multiple of 11 as well
Sufficient OptionC


sldisek783 wrote:

Is n divisible by 11 with no remainder?

(1) n is divisible by m with integer result
(2) m is divisible by 5.5 with integerresult

Show Spoiler
A. 1 alone, not 2 alone
B. 2 alone, not 1 alone
C. 1 and 2 together (need both)
D. 1 alone or 2 alone
E. 1 and 2 together are not sufficient

What do you think the answer is?

I think…

it is

E because if n is 5.5, it can be divisible by 5.5 but not divisible by 11. But the answer sheet seems to disagree withme.

Posted from my mobiledevice


...

Statistics : Posted by Archit3110 • on 29 Sep 2023, 12:35 • Replies 1 • Views 129

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