Quant by Arun Sharma

Thanks for the reply:).
Actually when i read the question i feel that its not clearly mentioned dat the %change in yrs 96 - 98 is 5%.

"the growth rate of the population was 10% last year and 5 % the year prior to it, the only exception being 1999 "

Can you help me understand if i m wrong.
(it wud not have been confusing for me if:
"the growth rate of the population was 10% last year and 5 % the years prior to it, the only exception being 1999 "
).

absolutely!
even i feel that it should have been years....

puys pls solve this too


1. What annual payment will discharge a debt of rs 808 due in 2 yrs at 2% p.a??

a)200 b)400 c)300 d)500

absolutely!
even i feel that it should have been years....

ur absolutely right ..................it should be years insted of year................

ur 2nd question related to CI and SI has been solved ....................I have also solved that but there is not a proper way to solve it..................by assuming,amount-100.........it can be solved otherwise there is a way that.......................



for same time and same rate..............the CI and SI will be equal for 1st year.................for 2nd yr .......if CI is given ,then SI will be nearest value to it........................
puys pls solve this too


1. What annual payment will discharge a debt of rs 808 due in 2 yrs at 2% p.a??

a)200 b)400 c)300 d)500

somebody plsssssssssssss help in solving this!

Guys, I could not get few questions mentioned below. These are from Number System, Please let me know if anyone of you could solve it...

1)
What will be least possible number of planks, if three pieces of timber 42m, 49m and 63m long have to be divided into planks of same length?
(a) 7
(b) 8
(c) 22
(d) None of above

2)
Find the number of divisors of 1080 excluding the throughout divisors, which are perfect square.
(a) 28
(b) 29
(c) 30
(d) 31

3)
Find the sum of divisors of 544 which are perfect square
(a) 32
(b) 64
(c) 42
(d) 21

4)
Find the maximum value of n such that
42*57*92*91*52*62*63*64*65*66*67 is perfectly divisible by 42^n

Please let me know the approach...
Thanks in advance ...
Answers given....
1 : C
2 : A
3 : D
4 : B


Pravin

puys pls solve this too


1. What annual payment will discharge a debt of rs 808 due in 2 yrs at 2% p.a??

a)200 b)400 c)300 d)500


Is the answer is 400.?
It simply as 2 years at 2% the debt amount is 808
So you can pay it by 400 paying each month.
Guys, I could not get few questions mentioned below. These are from Number System, Please let me know if anyone of you could solve it...

1)
What will be least possible number of planks, if three pieces of timber 42m, 49m and 63m long have to be divided into planks of same length?
(a) 7
(b) 8
(c) 22
(d) None of above

2)
Find the number of divisors of 1080 excluding the throughout divisors, which are perfect square.
(a) 28
(b) 29
(c) 30
(d) 31

3)
Find the sum of divisors of 544 which are perfect square
(a) 32
(b) 64
(c) 42
(d) 21

4)
Find the maximum value of n such that
42*57*92*91*52*62*63*64*65*66*67 is perfectly divisible by 42^n

Please let me know the approach...
Thanks in advance ...
Answers given....
1 : C
2 : A
3 : D
4 : B


Pravin



Hi pravin..........................
1)the HCF of 42,49 and 63 is 7................so
number of planks will be (42/7)+(49/7)+(63/7)=22




2)1080= 5^1* 2^3* 3^3
\ \ \
total number of divisors=(1+1)*(1+3)*(1+3)=32
number of perfect squares=(5^0+5^1)*(2^0+2^1+2^2+2^3)*(3^0+3^1+3^2+3^3)--->so 3 perfect squares and 36(by combination of perfect squares) also.
so number of divisors excluding perfect squares=32-4=28



3)544=2^5*17^1

Total sum=(2^0+2^1+2^2+2^3+2^4+2^5)*(17^0+17^1)=(1+4+16)*(1)=21

4)last question options are not available yet ..............answer will be 3
is this correct?

42=7*3*2
find total number of 7's=3(42,91,63)
no. of 3's and 2's>no. of 7's

so answer should be 3 definitely.................................

Snipped......................

LOD 1 ques 46 chapter 5
in an exam 80% students passed in physics. 70% in chemistry while 15% failled in both the subjects. if 325 students passed in boh the subjects. find the total number of students who appeared in the examination.


In this problem (and problems similar to these) I get confused in the language of the problem ....like in the above question when they say that "15% students failed in both the subjects" does it mean the total students failed or do they mean the students in common from the two subjects who failed ?? ..similarly for the statement "325 students passed in both the subjects"
While getting the solution , the approach puys have taken is to take 325 as the common students passed in both the subjects and 15% as the total students who failed in both the subjects ...even though they have been introduced in the same way in the problem ...can anyone please solve my doubt

Regards,
pls check for the solution of below question...it's on page 105 chapter 3,averages...question number 21

the avg of 71 results is 48. if the avg of the first 59 results is 46 and that of the last 11 is 52. find the 60th result

a)132 b)122 c)134 d)128 e)136

my answer is 72


no...I m getting 122...
and how abt this one

1/1 + 1/3 + 1/6 + 1/10 + 1/15.....

a.2
b.2.25
c.3
d.4


S=2*sum(Tn) where Tn=n*(n+1)/2

so S=2*(1-1/2+1/2-1/3+.....-1/(n+1))
S=2*(1-1/(n+1)) where n->infinity
S=2
hi puys

pls help in solving below ques of progression

1/1*5 + 1/5*9 + 1/9*13 + ...........+ 1/221*225

a. 28/221
b. 56/221
c. 56/225
d. none of these

this is quest no. 31 on page 72...
i have few more question similar to this (32,33 and 35)..so please letme knw the basic approach to solve these kind of questions


56/225...the method shown by ThinkAce is perfect...
a4akansha Says
hey! could anyone solve this for me?! in an examination, there are 4 sections ; each section of 45 marks. Find the no. of ways in which a student can qualify if the qualifying marks is 90.


Let the marks scored in d 4 secs be a,b,c,d
a+b+c+d=90
No. of solns =C(93,3)
But the marks cannnot be>45.So we'll have to remove those cases.
Let us 1st cosider the case where a>45
a=46+x where x>=0
So, 46+x+b+c+d=90
x+b+c+d=44
No of solns=C(47,3)
Similar solns will be dere 4 b,c,d

So final result=C(93,3)-4*C(47,3)
2ndApr2011 Says
Snipped......................


u r really confusing..................it means that those students which are not passed in any subjects,are 15%.
so.................
n(AUB)=n(A)+n(B)-n(A@B)
suppose,total nnumber of students are x,then...........
n(AUB)=0.8x+0.7x-325-------------------(1)
while n(AUB)--->those students who are passed in either physics or chemistry

now,
it is given that,15% students are failed
x-n(AUB)=0.15x------------------(2)
now calculate and u will get 500 is answer correct ??I think it should be correct 100% surity.............
nisroms Says
no...I m getting 122...


I m also getting 122....................

if u read the question then u will get ................

total 71 numbers ,total result=71*48
now,59 numbers result=59*46
now,last 11 means..............we are not including 59th result and results start from 60th result and now we have to calculate the result from last end means(from 71th)................so there will be only 11 numbers while from 59th to 71th ............there are 12 numbers.................
so................the 60th result will be =71*48-59*46-11*52=122

Hi pravin..........................
1)the HCF of 42,49 and 63 is 7................so
number of planks will be (42/7)+(49/7)+(63/7)=22




2)1080= 5^1* 2^3* 3^3
\ \ \
total number of divisors=(1+1)*(1+3)*(1+3)=32
number of perfect squares=(5^0+5^1)*(2^0+2^1+2^2+2^3)*(3^0+3^1+3^2+3^3)--->so 3 perfect squares and 36(by combination of perfect squares) also.
so number of divisors excluding perfect squares=32-4=28



3)544=2^5*17^1

Total sum=(2^0+2^1+2^2+2^3+2^4+2^5)*(17^0+17^1)=(1+4+16)*(1)=21

4)last question options are not available yet ..............answer will be 3
is this correct?

42=7*3*2
find total number of 7's=3(42,91,63)
no. of 3's and 2's>no. of 7's

so answer should be 3 definitely.................................


Thanx man. For 4th 3 is correct answer, I forgot to put the options there....
:cheerio:

Hey Puys Doubts from Averages chapter

A ship sails out to a mark at hte rate of 15KM per hour and sails back at the rate of 20km per hour.
what is the average rate of sailing?

1) 16.85 km
2)17.14 km
3) 17.85 km
4) 18 km

A batsman makes a score of 270 runs in the 87th innings and thus increases his avg by a certain number
or runs thats is a whole number. Find the posssible values of the new avg.?

1)98
2)184
3)12
d)all of these

Hey Puys Doubts from Averages chapter

A ship sails out to a mark at hte rate of 15KM per hour and sails back at the rate of 20km per hour.
what is the average rate of sailing?

1) 16.85 km
2)17.14 km
3) 17.85 km
4) 18 km

A batsman makes a score of 270 runs in the 87th innings and thus increases his avg by a certain number
or runs thats is a whole number. Find the posssible values of the new avg.?

1)98
2)184
3)12
d)all of these


For the first question, I think the formula to be used is 2ab/(a+B)

For the second one, I checked for 98... /86, It gave an integral solution, I was abt to mark 1) but then I checked for 12 and it gave one as well. So, no need to check for 184 and thus the answer--All of these.
puys m struggling to understand the concept of SI and CI...so if anyone get time from usual CAT questions , help will be highly appreciated

1. What annual payment will discharge a debt of rs 808 due in 2 yrs at 2% p.a??

a)200 b)400 c)300 d)500

2. if the CI on a certain sum for 2 yrs is rs 21. what could be the SI?
a)20 b)16 c)18 d)20.5

pls post your approach

same problem....
Is the answer is 400.?
It simply as 2 years at 2% the debt amount is 808
So you can pay it by 400 paying each month.

yes it is..

but i gn get one thing is 808 the total amount as in (I + P) ??
i mean how did u arrive at 400 and y would it be paid each month??
can u pls show step bt step approach to this question..
i guess i am confusing a lot with the concepts....