GMAT Questions Chat Group : General GMAT Questions and Strategies

bb · 2022-10-20T20:57:38-07:00

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Shwetagupta0198

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04 Sep 2023, 12:09

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Basically consider chemistry books as 1 block, so now u have to arrange 4 things and out of these 4, 3 things are identical (physics books)

manavjain

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04 Sep 2023, 12:09

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C C C P P P --- 1 way
P CCC P P ---1 way

manavjain

C C C P P P --- 1 way P CCC P P ---1 way

So basically 4 ways

Zaidris

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04 Sep 2023, 12:10

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My bad, it will be 4!

4! = 24

manavjain

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04 Sep 2023, 12:11

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Zaidris

My bad, it will be 4!

But all 3 physic books are same
We need to divide by 3!

Zaidris

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04 Sep 2023, 12:11

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Ah okay...missed "identical"

manavjain

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04 Sep 2023, 12:16

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Padma85

Any easy approaches to solve such questions

We know rate of mach A, B & C
So together add rates of all 3 machines--- 5/8, we get time i.e 8/5 ... Now we know rate of A machine, multiply that by time since all machines will work for 8/5 hrs

Zaidris

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04 Sep 2023, 12:17

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Padma85

Q machine a working alone can build an engine in 8 hours. Machine B or C working alone can build the same engine in 4 hours. If all 3 work together, what percent of work will A complete? Options - 11% , 14%, 18%, 20% 25%

Assume total 8 units of work to be done. (LCM OF 4,8)

A does 1 unit work per hour
B does 2 units work per hour
C does 2 units work per hour

Together, 5 units work will be done => A’s share = 1/5 = 0.2 = 20%

^5 units of work in ’x’ hours but since only amount of work done by A is asked, we can skip the additional step.

Ami0Trafalgar

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04 Sep 2023, 12:32

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just consider for work done by A, B and C do 2 units of work hence total work done is 5 units out of which A produced 1 unit
(1/5) = 0.2 = 20%

if you want a more methodical approach you can take work done by A is 1/8 for 1 hour
similarly B & C do 1/4 units of work per hour hence working together they produce 5/8 units of work per hour (1/8+1/4+1/4)
(work done by A per hour)/(work done by all machines)

((1/8)/(5/8)) = 1/5 = 0.2 = 20%

atleast that’s what i think
please correct me if i’m wrong

Zaidris

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04 Sep 2023, 12:35

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Going into fractions just complicates it a bit imho

Ami0Trafalgar

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04 Sep 2023, 12:37

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Tripti04

Can please explain

well take take 3 chem books as 1 unit
so you have 4 books to arrange
hence 4! ways
BUT you have 3 identical physics books so you must account for that by dividing 4! by 3!
which leaves us with 4 ways

hopefully this is correct
Correct me if i’m wrong

Zaidris

Going into fractions just complicates it a bit imho

absolutely agreed
i did it with the "logical approach"
some people prefer mechanical methods strictly dealing with numbers so i mentioned that solution just in case.

Zaidris

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04 Sep 2023, 12:40

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Much simpler to just assume the LCM of the time taken...in this case 8 units of work needs to be done

A takes 8 days for 8 units => 1 unit/day
B & C take 4 days alone for 8 units => 2 units/day

(1+2+2)x = 8 units of total work
x can be found if required, 8/5 days will be required to finish the work (roughly 1.6 days of work)

This is an approach if you’d like to avoid fractions... @Ami0Trafalgar ’s approach works fine too.

Ami0Trafalgar

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04 Sep 2023, 12:43

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Ami0Trafalgar

just consider for work done by A, B and C do 2 units of work hence total work done is 5 units out of which A produced 1 unit (1/5) = 0.2 = 20%

this approach is me avoiding fractions

i hate fractions

Shwetagupta0198

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04 Sep 2023, 13:04

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If n denotes a no. left of 0 on number line such that square of n is less than 1/100, then reciprocal of n must be?

Options-
1. Less than -10
2. Between -1 and -1/10
3. Between -1/10 and 0
4. Betwen 0 and 1/10
5. Greater than 10

Ami0Trafalgar

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04 Sep 2023, 13:09

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1.

If 1 is right then I’ll provide my reasoning

Shwetagupta0198

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04 Sep 2023, 13:10

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Yes 1 is correct

Ami0Trafalgar

1.

Please try to solve it on a paper and post the picture here

Zaidris

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04 Sep 2023, 13:38

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Ami0Trafalgar

i hate fractions

Welcome to the brotherhood, comrade.

Ami0Trafalgar

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04 Sep 2023, 13:38

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Shwetagupta0198

Please try to solve it on a paper and post the picture here

I’ll have to compress it 😭

Pin me if you have a doubt still. As it is there’s very few topics I’m decent at 🥲

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