Quant by Arun Sharma

Ganu02 Says
it's 495...12C4...

sharangtelkikar Says
I can't get why they did by that method unless given.


I doubt the answer given in Arun Sharma which is 12C4 = 495, We would have taken this approach if all the socks had been different. in this question too, we will have to make some cases just as in the question with 5As, 4Bs, 3Cs...

What would have been your answer if I had given a question: In how many ways can 4 socks be selected out of 12 DIFFERENT socks?????? Undoubtedly, it would have been 12C4, how can both answers be same, when in the first one there are identical items, 5 blue socks, 4 red socks, 3 green socks.


Please solve this question. THanks.

Arun Sharma: Block 3: Page 145: Question 5

A and B walk up an escalator (moving stairway). The escalator moves at a constant speed, A takes 6 steps for every 4 steps of B. A gets to the top of the escalator after having taken 50 steps, while B (because of his slower pace lets the escalator do a little more work) takes only 40 steps to reach the top. If the escalator were turned off, how many steps would they have to walk up?

(a) 80
(b) 100
(c) 120
(d) 160

nth term of the series is given as 2/n(n+1).
Therefore we need to find sigma(2/n(n+1))=2sigma(1/n(n+1))
=2sigma(1/n-1/(n+1))
So, if u observe carefully all, terms will get canceled except for 1/1 and 1/k {k is the number of terms of series}. But here as the series is infinite, 1/n tends to zero.So, required sum is 2*(1/1)=2

i am not getting the solution please help???
Please solve this question. THanks.

Arun Sharma: Block 3: Page 145: Question 5

A and B walk up an escalator (moving stairway). The escalator moves at a constant speed, A takes 6 steps for every 4 steps of B. A gets to the top of the escalator after having taken 50 steps, while B (because of his slower pace lets the escalator do a little more work) takes only 40 steps to reach the top. If the escalator were turned off, how many steps would they have to walk up?

(a) 80
(b) 100
(c) 120
(d) 160


let the speed of the A be 6 steps/min & B be 4 steps/min

50 + (50/6)*u = 40 + (40/4)*u

Solving , we get u = 6.

Total steps = 50 + (50/6)*6 = 100 Steps
Asfakul Says
dude correct the question

A no. when divided by11 gives remainder 3,when divided by 16 gived remainder 4 but when divided by 11 gives no remainder.What is d least such.


answer is 36 ?

Mr. X a very industrious person, wants to establish his own unit. For this he needs an instant loan of Rs. 500,000 and, every 5 yrs he requires an additional loan of Rs. 100,000. If he had to clear all his outstandings in 20yrs, and he repays the principal of the first loan equally over 20 yrs, find what amount he would have to pay as interest on his initial borrowing if the rate of interest is 10% p.a SI.
a) 560,000 b) 540,000
c) 525,000 d) 500,000
e) None of these

puys please help me solving this qstn.(the dbt i have here is how do we need to consider the additional 100000 that he takes every 5 yrs)

The population of Mangalore was 1283575 on 1st jan 2001 and the growth rate of the population was 10% last year and 5 % the year prior to it, the only exception being 1999 when because of the huge exodus there was a decline of 20% in population. what was the population on 1st jan 1995?
a) 1000,000
b) 1200,000
c) 1250,000
d) 1500,000
e) None of these

One more in which i hv a dbt(wat will be the population growth rates for the yrs 98,97,96)? (my initial attempt i thought it to be a increasing AP that is : 0.625%,1.25% and 2.5 % for 96,97 and 9

let the speed of the A be 6 steps/min & B be 4 steps/min

50 + (50/6)*u = 40 + (40/4)*u

Solving , we get u = 6.

Total steps = 50 + (50/6)*6 = 100 Steps


Can you please elaborate the above solution, What is 'u'?

u is the speed of the elevator.

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

somebody pls solve the above question:-(

A box has 4 apples and 3 oranges. X picks fruit randomly one after the other without replacement. Probability of the 1st fruit as apple is Pa and that of the third fruit is apple is Pb.
What is the relation between Pa and Pb?

When calculating Pb, shouldn't we consider the probabilities of selection of 1st and 2nd fruit also? Please help!

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


Simple Interest=original amount*rate*time/100
CI=original amount*(1+rate/100)^time

is correct answer for 2nd is -----a)20 ??
Simple Interest=original amount*rate*time/100
CI=original amount*(1+rate/100)^time

is correct answer for 2nd is -----a)20 ??

yes answer is correct but i asked for the approach not the formulas!!!
A box has 4 apples and 3 oranges. X picks fruit randomly one after the other without replacement. Probability of the 1st fruit as apple is Pa and that of the third fruit is apple is Pb.
What is the relation between Pa and Pb?

When calculating Pb, shouldn't we consider the probabilities of selection of 1st and 2nd fruit also? Please help!


Pa = 4/7

Pb=

in two attempt there is 4 possibility

AOA => 4/7*3/6*3/5

OAA => 3/7* 4/6*3/5

OOA => 3/7*2/6*4/5

AAA => 4/7*3/6*2/5

so total = 4/7

so pa =pb
Simple Interest=original amount*rate*time/100
CI=original amount*(1+rate/100)^time

is correct answer for 2nd is -----a)20 ??


For the second 1 if u take the principal as 100 and interest rateas 10 . u can see that u will have CI = 10 + 11 for 2 yrs.(which is wat given in the question)

while SI on a principal of 100 for 10% interest for 2 yrs will be 10 + 10 = 20.
Also difference between SI and CI for 2 yrs is p*(r/100)^2
Mr. X a very industrious person, wants to establish his own unit. For this he needs an instant loan of Rs. 500,000 and, every 5 yrs he requires an additional loan of Rs. 100,000. If he had to clear all his outstandings in 20yrs, and he repays the principal of the first loan equally over 20 yrs, find what amount he would have to pay as interest on his initial borrowing if the rate of interest is 10% p.a SI.
a) 560,000 b) 540,000
c) 525,000 d) 500,000
e) None of these

puys please help me solving this qstn.(the dbt i have here is how do we need to consider the additional 100000 that he takes every 5 yrs)



Can sum1 please help me solve this qstn.:-(
The population of Mangalore was 1283575 on 1st jan 2001 and the growth rate of the population was 10% last year and 5 % the year prior to it, the only exception being 1999 when because of the huge exodus there was a decline of 20% in population. what was the population on 1st jan 1995?
a) 1000,000
b) 1200,000
c) 1250,000
d) 1500,000
e) None of these

One more in which i hv a dbt(wat will be the population growth rates for the yrs 98,97,96)? (my initial attempt i thought it to be a increasing AP that is : 0.625%,1.25% and 2.5 % for 96,97 and 98


Puys this one is really confusing :(. please help me solve dis.
AspireCAT2011 Says
Puys this one is really confusing :(. please help me solve dis.

bro ,now i will solve ur problem.......................


the question is that--->
in 1995,5% population increases..............
in 1996,5% population increases..............
in 1997,5% population increases..............
in 1998,5% population increases..............
but in in 1999,20% population decreases..............
and in 2000,10% increases ......................


suppose population is x in 2001..................so ,in 2000 it will be 10x/11(due to 10% increase )
now in 1999,it will be (10x/11)*(5/4)
now,prior year it was 5% increment...............so ,from 1999 to 1995 ............there was only 4 years
so.........it will be.................
original population in 1995,
---->(10x/11)*(5/4)*((20^4)/(21^4))


calculate u will get option B............
bro ,now i will solve ur problem.......................


the question is that--->
in 1995,5% population increases..............
in 1996,5% population increases..............
in 1997,5% population increases..............
in 1998,5% population increases..............
but in in 1999,20% population decreases..............
and in 2000,10% increases ......................


suppose population is x in 2001..................so ,in 2000 it will be 10x/11(due to 10% increase )
now in 1999,it will be (10x/11)*(5/4)
now,prior year it was 5% increment...............so ,from 1999 to 1995 ............there was only 4 years
so.........it will be.................
original population in 1995,
---->(10x/11)*(5/4)*((20^4)/(21^4))


calculate u will get option B............


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 "
).