1. Find the number of ways in which you can fill a 3x3 grid(with four courners defined as a,b,c,d) if u have 3 white marbles and 6 black marbles.
It is a 3*3 grid, so there are a total of 9 spaces where you can place the marbles. Let us first place the 3 white marbles, that can be done in 9C3 ways. There are 6 spaces available and 6 black marbles are to be placed in those 6 spaces. So, that can be done in 1 way.
Hence the answer would be 9C3.
2. If X=123456 and Z=X-Y then for how many values of Y, Z is divisible by 48, 98, 105?
X=123456
LCM of 48,98,105 is 11760. So if a number is divisible by 11760, then it will be divisble by 48,98,105.
On dividing X by 11760 we get dividend = 10.
So for 10 values of y, z is divisible by 11760.
Thus for 10 values of y ,z value found is divide by 48,,98,105.
These values of Y are 111696, 99936, 88176, 76416, 64656, 52896, 41136, 29376, 17616, 5856
3. There are 6 Bangles each of 4cms in diameter. These are to be placed in a salver(plate), what should be the minimum radius of the salver, so that each bangles are kept without overlapping (bangles touching each other)?
One bangle at the center and the remaining 5 surrounding them, so radius of the center + the diameter of the outer bangle = 4+2=6cms
4. Let Sn denote the sum of first n terms of an A.P. If S2n = 3Sn, then the ratio S3n/Sn is equal to?
We know that Sn = n(n+1)/2
now it is given that
S2n = 3Sn
=> 2n(2n+1)/2 = 3n(n+1)/2
=> 2(2n+1) = 3(n+1)
=> 4n+2 = 3n+3
=> n = 1
then S3n/Sn = [3n(3n+1)/2]/[n(n+1)/2] = 3*4/1*2 = 6
5. In a strange twist of hearts, P politicians of a country agreed to an average donation of Rs. D each. Q of these politicians, who had pledged an average of Rs. A never donated the pledged money. Which of the following expressions represents the percent of the pledged money that was actually donated.
We know that Sn = n(n+1)/2
now it is given that
S2n = 3Sn
=> 2n(2n+1)/2 = 3n(n+1)/2
=> 2(2n+1) = 3(n+1)
=> 4n+2 = 3n+3
=> n = 1
then S3n/Sn = [3n(3n+1)/2]/[n(n+1)/2] = 3*4/1*2 = 6
pledged money = P*D
Actually donated money = PD-QA
percent of the pledged money thas ws actually donated = 100*(PD-QA)/PD = 100-100(QA/PD)
I wish I had found this site before I took the test. What will be the answer of this question,
Two persons A and B do a work in 30 and 40 days respectively.If both do together,A start the first day and on other day work done by exactly one of them.Finally they divide the earning in ratio 1:1.How many days the work be completed?
Hello Deepak, Thanks for your invaluable contribution to this site. Much Appreciated. We will make a post of the questions and post soon. This will be solved in part 8 of this series...
Thanks to this blog for guiding me, I scored 92 percentile, but my verbal was not good though.. I remember two questions, it might help some people who want to attend this test,
1. Two circles lying in the first quadrant, touch each other externally. Both the axes makes tangents with both the circles. If the distance between the two centre of the circles is 8 cm, find the difference in their radii?
2. Two circles intersect each other @ two points P and Q ...smaller circle has radius 1cm...if arc extended by smaller circle is 90 degree and that of the larger circle in 60 degree at their corresponding centres .Find out the common area of the circles???
There was one more question on geometry. However I'm not recalling that.
We are glad to help you, and thanks to you for getting back and contributing for this site. Much Appreciated :) We will make a post of the questions and post soon. These will be solved in part 8 of this series...
Hi, Thanks for these questions, there wer about two to three questions repeated! I got them right :) here's my bit for your site, the below questions were asked when i took the test
1. There is a circular table and 60 people can sit in that. If there are N number of people sitting and a monster comes and want to occupy a seat such that he has someone on his side. Then what is the minimum value of N. options are 15 20 29 30 i think
2. How many 3 digits numbers are there in which if there is a 3 and it is followed by a 7?
3. how many numbers are there between 1100 - 1300 which are divisible by and that all 4-digits of number should be odd(ex:1331)
hii.. for the ques 1.. if we place the black marbel first then it can be placed like 9c6 and then 3c3.. so the whole combinaton can be.. 9c6*3c3 + 9c3*6c6..
well, not really. If you didn't get that, this might help you. Consider those 9 marbles as 9 alphabets. Now there are 9 alphabets and we have to find the number of different words that can be formed using them. So the number of different words would be, 9!/(3!*6!).....3! for white and 6! for 6 black marbles.. Hope I cleared your doubt!
if you are putting 1 bangle in center and 5 around that bangle so, diameter should be diameter of center bangle and diameter of two other bangle total 12 cm not cm .... correct me if i am wrong ?
& your blog contributed 20 marks to my ph score thanks a lot Glued brain :D the low score in verbal was i spent almost 45min in PS which was very difficult !! only had 20 mins which went haywired i think :/
& your blog contributed 20 marks to my ph score thanks a lot Glued brain :D the low score in verbal was due to i spent almost 45min in PS which was very difficult !! only had 20 mins which went haywired i think :/
I wish I had found this site before I took the test. What will be the answer of this question,
ReplyDeleteTwo persons A and B do a work in 30 and 40 days respectively.If both do together,A start the first day and on
other day work done by exactly one of them.Finally they divide the earning in ratio 1:1.How many days the work be completed?
Hello Deepak,
DeleteThanks for your invaluable contribution to this site. Much Appreciated. We will make a post of the questions and post soon.
This will be solved in part 8 of this series...
Thanks to this blog for guiding me, I scored 92 percentile, but my verbal was not good though..
ReplyDeleteI remember two questions, it might help some people who want to attend this test,
1. Two circles lying in the first quadrant, touch each other externally. Both the axes makes tangents with both the circles. If the distance between the two centre of the circles is 8 cm, find the difference in their radii?
2. Two circles intersect each other @ two points P and Q ...smaller circle has radius 1cm...if arc extended by smaller circle is 90 degree and that of the larger circle in 60 degree at their corresponding centres .Find out the common area of the circles???
There was one more question on geometry. However I'm not recalling that.
Thanks again!
We are glad to help you, and thanks to you for getting back and contributing for this site. Much Appreciated :)
DeleteWe will make a post of the questions and post soon.
These will be solved in part 8 of this series...
Hi,
ReplyDeleteThanks for these questions, there wer about two to three questions repeated! I got them right :)
here's my bit for your site, the below questions were asked when i took the test
1. There is a circular table and 60 people can sit in that. If there are N number of people sitting and a monster comes and want to occupy a seat such that he has someone on his side. Then what is the minimum value of N. options are 15 20 29 30 i think
2. How many 3 digits numbers are there in which if there is a 3 and it is followed by a 7?
3. how many numbers are there between 1100 - 1300 which are divisible by and that all 4-digits of number should be odd(ex:1331)
Hope this helps :)
Thanks for those questions, we are glad we helped you :)
DeleteThese questions will be solved in the 10th post of this series.
hii..
ReplyDeletefor the ques 1.. if we place the black marbel first then it can be placed like 9c6 and then 3c3.. so the whole combinaton can be..
9c6*3c3 + 9c3*6c6..
well, not really. If you didn't get that, this might help you. Consider those 9 marbles as 9 alphabets. Now there are 9 alphabets and we have to find the number of different words that can be formed using them. So the number of different words would be, 9!/(3!*6!).....3! for white and 6! for 6 black marbles..
DeleteHope I cleared your doubt!
Thanks man!
ReplyDeleteGlad you found it useful :)
DeleteGlad you found it useful :)
ReplyDeletedon't you think the answer of question 3 is incorrect ?
ReplyDeleteah well.....what do you think is the right answer?
ReplyDeleteif you are putting 1 bangle in center and 5 around that bangle so, diameter should be diameter of center bangle and diameter of two other bangle total 12 cm not cm .... correct me if i am wrong ?
ReplyDeleteya diameter will be 12cm...The radius will be 6cm
ReplyDeletecan u explain ques-3?whats the logic behind it..
ReplyDeleteHi, My ph score Quant - 98.62 %, PS - 79.89 %, Verbal - 34.26 % what should i do i'm thinking of writing again !! waht are my chances ?
ReplyDelete& your blog contributed 20 marks to my ph score thanks a lot Glued brain :D the low score in verbal was i spent almost 45min in PS which was very difficult !! only had 20 mins which went haywired i think :/
ReplyDelete& your blog contributed 20 marks to my ph score thanks a lot Glued
ReplyDeletebrain :D the low score in verbal was due to i spent almost 45min in PS which
was very difficult !! only had 20 mins which went haywired i think :/