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Quant Question of the Day Chat

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Kunwar20
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 04:11
nikaro wrote:
sorry, option D

The ans could be 10, as it is saying that 5 or fewer will cost $4 so even if we buy 1 apple of type A it will cost $4 and than 9*0.5 = 4.5 so 9 apples of type B will cost $4.5 which is greater than 4 so total 1 apple of type A and 9 of Type B so N= 10.

Let me know if I am making any mistake here .
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Twessy
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 04:18
hey the question is how many apples of each type should be bought, not the total quantity of the two types
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Kunwar20
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 04:25
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Twessy wrote:
hey the question is how many apples of each type should be bought, not the total quantity of the two types

Okay got it, I misread the question , my bad , thanks for pointing out.
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Alex55
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 05:36
e is the ans

explain plz
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ratpat
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 05:43
h= 2*4*6*....*100= (2^(50))*50!

h is divisible by any number till 50, but 1 won’t be. So, h(100)+1 won’t be divisible by any number till 50.
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nikaro
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 05:45
you can refer here : for-every-positive-even-integer-n-the-function-h-n-is-defined-to-be-212521.html#:~:text=Therefore%20the%20smallest%20prime%20factor,corresponds%20to%20option%20(E).&text=This%20is%20a%20long%20explanation,it%20fully%20from%20different%20angles.
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Alex55
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 05:49
Ok thnks for the hlp
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ratpat
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 05:49
I have a fundamental question. Let’s say,
a+b+c+d=k, all integers. Then how many possible combinations of a,b,c,d can give a value of k? K can be 50 or 100 or any value. How to solve this
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learnwithrohan
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 06:10
If a,b,c ,d are whole numbers then

(K+4-1) C (4-1)

If a,b,c,d are natural numbers then

(K-1) C (4-1)

4 -> because a,b,c,d are 4 numbers

E.g. Sum of a+b+c+d = 5
Then if abcd are whole numbers there are
8C3 = 56 cases

(5,0,0,0) -4 cases
(4,1,00) - 12 cases
(3,2,00) - 12 cases
(3,1,1,0) - 12 cases
(2,1,1,1) - 4 cases
(2,2,1,0) - 12 cases
Total 56 cases
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pranavkohli16
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 06:27
Please help me solve a question with the steps.

If a 3 letter code has to be made without replacement from the letters of the word PEPPER. How many unique codes are possible
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learnwithrohan
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 06:36
pranavkohli16 wrote:
If a 3 letter code has to be made without replacement from the letters of the word PEPPER. How many unique codes are possible

Case 1 : word will all different letters
P,e,r - 3P3 i.e 6 words

Case 2: word with 2 letters same and 1 different
Ppe
Ppe
Eer
Eep
From each we can make 3p3/2p2 cases i.e 3 cases each
So total 12 cases

Case 3: all three letters same
Ppp only 1 case

So total : 6+12+1 = 19 cases
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ratpat
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 06:40
ratpat wrote:
I have a fundamental question. Let’s say, a+b+c+d=k, all integers. Then how many possible combinations of a,b,c,d can give a value of k? K can be 50 or 100 or any value. How to solve this

What if a,b,c,d needs to be distinct?
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Bunuel
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 06:41
Expert Reply
This question is discussed in detail here: for-every-positive-even-integer-n-the-function-h-n-is-defined-to-be-212521.html

This question is discussed in detail here: how-many-3-letter-codes-can-be-formed-by-choosing-without-replacement-421859.html
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anuraggogoi
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 07:20
Do we need time speed and distance in gmat focus
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Bunuel
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 07:33
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anuraggogoi wrote:
Do we need time speed and distance in gmat focus

Yes, Distance/Rate problems are part of both the DS and PS syllabus of GMAT Focus.
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Bunuel
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 09:01
Expert Reply
Have you checked this new Algebra question?

https://gmatclub.com/forum/if-2-is-a-so ... 28322.html
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pranavkohli16
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 10:58
Please help on how to approach a question like this
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Bunuel
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 11:01
Expert Reply
pranavkohli16 wrote:
Please help on how to approach a question like this

This question is discussed in detail here: candle-a-and-candle-b-have-equal-heights-but-different-volumes-while-422992.html
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Nullbyte
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 20:39
Hint : only perfect squares have odd number of factors/divisors
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Alex55
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   08 Apr 2024, 20:53
explaination plz :) :)

thnks got it
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