xat 2015 quant thread

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Lets not forget that xat Quant's isnot easy and we can't afford to stop practising. So let's get down to solving some sums!!!

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On a shelf, the first row contains 25% more books than the second row,the third row contains 25% less booksthan the second row, If the total number of books contained in all the rows is 600 then find the number of books in the first row ?

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patelharsh867
@patelharsh867  ·  0 karma

250

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sindhu.kavala99
@sindhu.kavala99  ·  0 karma

350

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A man standing on a boat south of a light house observes his shadow to be 24 meters long, as measured at the sea level. On sailing 300 meters eastwards, he finds his shadow as 30 meters long, measured in a similar manner. The height of the man is 6 meters above sea level.

Please post the method; in case you mark the answer. I am interested in the methodology.

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There are 2 squares S1 ans S2 with areas 8 and 9 unites resply, S1 is inscribed within S2, with one corner of S1 on each side of S2. The corners of the smaller square divides the sides of the bigger square into 2 segments, one of length a and other of b, where b>a. What is the possible value of b/a

a ) >=5 and

b) >=8 and

c) >=11 and

d) >=14 and

e) >17

Approach plz?

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bikram.call
@bikram.call  ·  0 karma

OA: D

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ashishmakkar
@ashishmakkar  ·  0 karma

d...

b/a is 8+3rt(7)

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If x>0, the minimum value of  [(x+1/x)^6 - (x^6 +1/x^6) - 2] / [(x+1/x)^3+ (x^3+1/x^3) is.....?

Work in Progress
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debasiscat2013
@debasiscat2013  ·  1,131 karma

oops ..haan 6 ..got it wrong!..x=1

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balu.saiteja
@balu.saiteja  ·  0 karma

x+1/x>=2 only wen x=1 for rest its

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Six balls numbered  1 to  6 are to be placed in six boxes numbered 1 to 6 .If the balls are to be placed at random into  the  boxes  then the probability that  

1) at least two balls are to be placed in corresponding  numbered  boxes

A) 191/720 b) 529/720 

C) 1/720 d ) 1/60
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balu.saiteja
@balu.saiteja  ·  0 karma

no balls at their corresponding place=265..can u plz explain in detail??

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deb.mukh002
@deb.mukh002  ·  0 karma

dearrangement bhai @balu.saiteja 

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A salesman sells two kinds of trousers: cotton and woollen. A pair of cotton trousers is sold at 30% profit and a pair of woollen trousers is sold at 50% profit. The salesman has calculated that if he sells 100% mor e woollen trousers than cotton trousers, his overall profit will be 45%. However he ends up selling 50% more cotton trousers than woollen trousers. What will be his overall profit?

A. 37.5%

B. 40%

C. 41%

D. 42.33%

E. None of the above

Please explain.. This is XAT 2009 ques.. 

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balu.saiteja
@balu.saiteja  ·  0 karma

30*x+50*y=45(x+y).....x:y=1:3 let x=100 thn y =300 but y content is 100% more than wat it actually is so y=150,x=100 thn in the second statement x is 50%more than this thn x=150,y=150===>30*150+50*150=k(150+150) on solving we get k=40:-)

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Juan_94
@Juan_94IIM Kashipur  ·  669 karma

40

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in an icecream shop, there are for refrigerators R1, R2. R3 & R4 containing flavours of apple, banana, strawberry and butterscotch respectively. Every customer who comes to the shop buys atleast one ice cream and a maximum of eleven ice creams. today, if every customer who visited the shop bought a different combination of flavors, what could be the maximum number of customers who visited the shop today?

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placiddisciple
@placiddisciple  ·  1,900 karma

1364

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ashishmakkar
@ashishmakkar  ·  0 karma

@suchi.smita 

the buffer variable is used to adjust the values of a,b,c,d...Question says, max of 11 ..so to consider the values like 10,9,8,7...u'l need a buffer variable...

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If x is real and │log(x + 5)(2x – 1)│= 1, then find the number of possible values of x.

Calls : XLRI HRM , IIFT , SIBM Pune , SCMHRD , MICA
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amank2168
@amank2168  ·  849 karma

@Nipun008 You are missing a 10 or 1/10 (depending on log(x+5)(2x-1) being 1 or -1 ) in your equations I believe. Please check. Also as long as (x+5)(2x-1) >0, any value of x will be acceptable, whether it is negative of positive. You should not break it into (x+5) and (2x-1). It will be like breaking -2 into i and 2i. I hope you are getting my point. 

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amank2168
@amank2168  ·  849 karma

@Nipun008 And base of log function can be any positive value, so can be domain on which the function is applied. i.e. logb (a) is defined if a,b>0 and real

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(77)^777  / 100 . Remainder = ?

Fight the enemy within !
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deb.mukh002
@deb.mukh002  ·  0 karma

97

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harshcat91
@harshcat91  ·  4,241 karma

IMS XAT MOCK 1 Question 😛

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Three Unbiased dice with 6 faces are rolled one after another and the nos on 3 dices are noted.What is the probability that the product of the three nos is divisible by 6 ?

A. 108/216

B. 126/216

C.133/216

D.151/216

Method Plz.

@Highway66 @harshcat91 Enlighten me if u guys are free.  :)

Fight the enemy within !
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Rocker69
@Rocker69  ·  0 karma

U r right sir @shojazz  😃 . Meri bhi lag gayi cases leke solve kare me. Thats why i wanted if anyone can solve by sm odr method.

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shojazz
@shojazzIIM Raipur  ·  3,298 karma

hmm me b soch rha hu tb tk. 

@shawshanks  sir check this one. koi short method ? 

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