CAT 2019 Preparation, Syllabus, Result

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A, B and C can do a piece of work in 12, 15 and 24 days respectively. All three started working together and C left after working for p days. B left p days before the work got completed. If it took m days to complete the work and m, p are integers, find the value of m.

What I did

when there are two variables, I assume one value to be some value and then I solve

So Total work is 120

A=10 units

B=8 units

C=5 units

Let p=10

23(10)+18(m-20)+10(10)=120

m came out as 50/6

but ans is 7

where I am wrong @TanujA3 @khan.moin00103

1 comment
TanujA3
@TanujA3  ·  380 karma

P is 2 and m is 7. You can't assume that p is 10. Suppose total units are120 units. A works for the entire m days, so, 10m units, B works for (m-p) days, hence 8(m-p) units and C works for initial p days, hence, 5p units. Total is 10m + 8(m-p) + 5p = 120. Relation comes as 6m = p+40. Only one pair of values of (p,m) will satisfy this, i.e. (2,7). Answer = 7.

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Selling CL & IMS Cat/noncat mock @ 100/mock. Message only if interested.

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In a textile shop, the number of designer shirts is thrice the number of formal shirts. The shop also has sarees of 3 colours - brown, black and yellow. The number of black sarees is twice the number of brown sarees. The number of yellow sarees is 5 times the number of brown sarees. The number of sarees is twice the number of shirts. Find the least possible number of shirts and sarees in the shop.


Can the answer to this be 0?

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summi_arora
@summi_arora  ·  2,054 karma

The shop has sarees of different colors. Will this statement too hold true if you were to take 0 as the least number?

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tenfeettall
@tenfeettall  ·  24 karma

Good point!

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@TanujA3 approach?

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suchi1996
@suchi1996  ·  105 karma
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Will Deputy Secretary General of an MUN or the Head Girl of a schoil be considered as responsibility undertaken? If yes, then personal or professional? 

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i have unused test series of career launcher for cat 2019, anyone interested.

Please do contact me on +91-9689301726 (either by call or on .......)

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Abie
@Abie  ·  0 karma

interested (8871100147)

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Solutions and approach please.

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