Quant by Arun Sharma

MBA CAT 2024
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@[543298:Akshaya1005]

@[543298:Akshaya1005]

For Qn 2, I got 1994 on Index Finger. Is it correct?

The solutn can be obtained by writing few numbers and then observing their pattern. You will see that the numbers on Thumb and Little fingers are AP with common difference 8 and numbers on Middle finger is an AP with c.d. =4.

Reach to 1990s by hit and trial and then continue the series in same fashion, to see where does 1994 appears. It is found on index finger.

Continue the series after 1994 and come till Little finger or Middle finger so that you can verify the result by expressing the number obtained under it is actualy expressible in the general term of that AP.

Refer to the image in my message above for clarification.

P.S Sent the image+message together in earlier post but somehow PG trimmed the message. πŸ˜‰ So now adding text in another post

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@[451379:tanuja91]: according to chinese remainder theorem i didnt understand the solution can you please explain the prob 50^51^52 divided by 11 what will be the remainder?

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pls. solve the below mentioned questions of quadratic eq:-

Q1) If x^2 + ax + b leaves the same remainder 5 when divided by x-1 or x+1 then the values if a and b are resp:-

A) 0 and 4 B) 3 and 0 C) 0 and 3 D) 4 and 0 E) 3 and 4

Q2) for what values of c in the equation 2x^2 - (c^3 + 8c - 1)x + c^2 - 4c = 0 the roots of the eq would be opp in sign??

A) (0,4) B) (-4,0) C) (0,3) D) (-4,4) E) None of these.

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@[361226:ayushbhalotia] Q1). answer should be a= 0 & b= 4


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@[361226:ayushbhalotia] Q2). ANSWER FOR THIS QUESTION should be c should belong to set (0,4)

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@[361226:ayushbhalotia]

Qn1)

Let f(x) = x^2 + ax + b.

Dividing f(x) by (x-1) means evaluating f(1) and dividing by (x+1) means evaluating f(-1).

For this Qn, f(1) = 5
i.e. (1)+a(1)+b=5
or , a+b=4.........(1)

Similarly, f(-1) = 5
(-1)^2+a(-1)+b=5
or b-a=4...........(2)

Solving (1) and (2), b=4 and a=0.

Qn2

For the roots to be of opposite sign, the product of roots must be less than 0.

In this equation, product of roots = (c^2 - 4c )/2

i.e. c^2 - 4c

ie. c(c-4)

or c belongs to (0,4)

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@[361226:ayushbhalotia] Q1). SOLUTION:-

using remainder theorem
as f(x)=x^2 + ax + b is when divided by x-1 and x+1 gives remainder 5
that means when x=-1 ( from x+1 ) i.e f(-1)=(-1)^2 +(-1)a +b =5
this gives 1 -a +b =5
similarly foe x=1 (from x-1) ie.e f(1) =(1)^2 + (1)a+b =5
this gives 1+a+b =5
solve both the above equation to find the value a & b which comes out be a=0 & b=4.
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@[543298:Akshaya1005]


Yes, we can also take the common ratio directly from the question. But anyway I liked your approach.

Thanks
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Two alloys of iron have different percentage of iron in them.The first one weighs 6 kg and the second one weighs 12 kg.One piece each of equal weight was cut off from both the alloys and the first peice was alloyed with the second alloy and the second piece is alloyed with the first one.As a result,the percentage of iron became same in the resulting two new alloys.What was the weight of each cut-off piece?...

I could work that out .Ans = 4kg, but by a long method.However the book gives a really short method.It says

€œthe piece that is cut off should be such that the fraction of first to the second alloy in each of the two new alloys formed should be equal €œ

ie : 6-w = w

--- w 12-w

Can some one please please explain the above logic?

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I really have no clue about these yellow faces.

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@[8964:deepu] @[345617:sonnes] Sir...Sometimes these Yellow Smileys show up a lot in some posts. Some Bug ??

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@[571257:Estallar12] @[595040:rahulj_j44] these are coming, when you copy content from word or other websites. we are still working on trying to get rid of them.



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Year export Software export

92-93 59688 7884
93-94 69788 13427
94-95 82723 13836
95-96 106327 21327
96-97 118917 24263
97-98 130171 24687
98-99 139776 25257
99-00 162747 26862
00-01 173526 28938
01-02 179914 30648

whch has maximum rate of growth
a)exp b)soft exp c)non soft expt d)CBD
which has maximum growth
a)exp b)soft exp c)non soft expt d)CBD
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Here is a case study: please give suggestions.....


Vivek is an employee of Mighty Bank in Corporate Banking sector,

ABC Ship Breaking Company is a client of this bank but this company is in total debt and in losses.

The mighty bank has approached few companies for acquiring this ABC company and turning it over in debt and management level changes.

There were 3 companies bidding for this 1000 cr credit.

1. BBC Ship Breaking Company - Indian, well established and has extensive experience in shipping sector. Already have done this for 2 companies. The bid is 100% recovery payable in 7 yrs at 8 %pa

2. Credit... Company - Large Public Sector but no experience in such cases. The bid is 90% recovery payable in 8 yrs at 9 %pa

3. Sonyo Shipping - Oldest shipping firm in Japan - trying to acquire companies in India or China as these are low cost models. The bid is 85% recovery payable in 5 yrs at 13 %pa

Vivek has to go through these bids and recommend a particular company. BBC has already 5 yrs of relationship with the bank. Nahar the president of the bank is suggesting to Vivek that Credit company wants to establish relationship if their bid is cleared. From Vivek's position u need to recommend a choice.

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how many kgs of sugar worth rs.3.60 per kg should be mixed with 8 kg of sugar worth rs 4.20 kg per kg such that by selling the mixture at rs.4.40 per kg there may be a gain of 10%??...

i got the soln but through a long method.......can any 1 suggest a small solution..
chapter 4 aliigations.........lod 1....3rd qs...
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@[561467:anksweets]

SP of mixture = 4.40

(sp-cp)/cp = 10/100

sp/cp =1.1

cp = sp/1.1

4.4/1.1 =4 =cp of the mixture.


3.60 (x) 4.20 (8)

4

.20 .40

x =4kg.

i guess this is the only way thru alligations.
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I want to understand this concept given in One of the CL modules.It says


incomes of A and B are in the ratio of a:b, their expenditure are in the ratio of x:y

if x/y > a/b then whatever be the absolute value of their incomes and expenditure B saves more.

Say a:b= 4:5, x:y =5:6

If we put the values ,we will get it but whats the logic.Please help:)
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how to solve these case studies given in quant by arun sharma...not able to solve even one.are these important..
is there any technique that must be followed..really got stressed after not able to solve a single question of cases

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A sells his goods 30% cheaper than B and 50% dearer than C. by what %age is cost of C's goods cheaper than B's goods??

plz explain in detail solution of this question..answer is 46.15%

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plz help in solving these question

1)if length , breadth and height of a cube are decreased,decreased , increased by 5%,5% and 20%, then what will be the impact on surface area of cube?

2)A and B have between them rs.1200.A spends 12% of his money while B spends 20% of his money.They are then left with a sum that constitutes 85% of the whole sum.find what amount is left with A?