I don't understand why the ans is x/6(From Various quant question -Gregmat-Spoiler))

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there’s no serial for this question

Serial?

I forgot the serial!
From the video the ans is x/6
Those markings are done by greg btw

What does “serial” mean?

I don’t know the question no

That’s fine - tell us your approach and attempt to this one.


Here’s my approach

I don’t get how you got x from your steps?

So all three values have x in common right
so the answer is x

That is not enough, because all of x, 1.5x and \frac{2x}{3} must be an integer. Also the HCF cannot be more than the smallest number.

Oh I get it but how did you get to x/6 from that ?

Let’s try with an example. Suppose x = 6; what do you get then?

6, 9, 4

And what’s the HCF in that case?

The hcf is 1

Using that test case itself, can you find the answer?

Are you saying that you should try to take 1/6 common?

Can that work? Recall that x is a multiple of 6, so what can you say about \frac{x}{6}?

So I understand we just have to take a number common in such a way that the other terms still remain as intergers.

I still didn’t understand the choosing no approach though.
Here I just converted every term to intergers and got x/6 as the ans

Which is indeed a correct approach.

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