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# Quant Question of the Day Chat

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GMAT 1: 760 Q56 V59
Re: Quant Question of the Day Chat [#permalink]
e is the ans

explain plz
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Re: Quant Question of the Day Chat [#permalink]
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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Re: Quant Question of the Day Chat [#permalink]
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Re: Quant Question of the Day Chat [#permalink]
Ok thnks for the hlp
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Re: Quant Question of the Day Chat [#permalink]
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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Re: Quant Question of the Day Chat [#permalink]
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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Re: Quant Question of the Day Chat [#permalink]

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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Re: Quant Question of the Day Chat [#permalink]
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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Re: Quant Question of the Day Chat [#permalink]
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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Re: Quant Question of the Day Chat [#permalink]
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Re: Quant Question of the Day Chat [#permalink]
Do we need time speed and distance in gmat focus
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Re: Quant Question of the Day Chat [#permalink]
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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Re: Quant Question of the Day Chat [#permalink]
Have you checked this new Algebra question?

https://gmatclub.com/forum/if-2-is-a-so ... 28322.html
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Re: Quant Question of the Day Chat [#permalink]
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Re: Quant Question of the Day Chat [#permalink]
pranavkohli16 wrote:

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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Re: Quant Question of the Day Chat [#permalink]
Hint : only perfect squares have odd number of factors/divisors
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