Official Quant thread for CAT 2013

@ishu1991 can you please explain how ..??

@Unternehmer said:
@Estallar12In a machine a series of words is fed in which then gives an output after following a certain number of steps.Input: Sale Fake Hence Gate HisStep 1: Sale His Fake Hence GateStep 2: Sale His Hence Fake GateStep 3: Sale His Hence Gate FakeStep 3 is the output.What will be the second step if the input to the same machine isInput: Play Hope Greece Soul Watcha.Soul Watch Play Hope Greeceb.Watch Soul Play Hope Greece c.Watch Play Hope Greece Sould.Watch Soul Play Greece Hope
Logic - Arrange the Words is descending order of their rank in Dictionary. Insert the word and shift the rest rightwards.

Hence,
Input - Play Hope Greece Soul Watch
Step I - Watch Play Hope Greece Soul
Step II - Watch Soul Play Hope Greece.

Option B.
@DeAdLy said:
lo the quant king is himself here refer to page 987 some post is there
page 987 ??
@DeAdLy said:
lo the quant king is himself here
Not the Quant King. Just a Learner/Noob.
@DeAdLy said:
refer to page 987 some post is there
The Thread has 940 pages only so far. Do I have to wait till it reaches Page 987 ? :roll:
@Estallar12 said:
Not the Quant King. Just a Learner/Noob. The Thread has 940 pages only so far. Do I have to wait till it reaches Page 987 ?
@vbhvgupta

my bad 937..

arey aap noob ho to hum to kuch bi nai
An alloy of gold and silver is taken in the ratio of 1:2 and another alloy of the same metals is taken in the ratio of 2:3. How many parts of the two alloys must be taken to obtain a new alloy consisting of gold and silver that are in the ratio 3:5?
1) 3 and 5
2) 2 and 9
3) 2 and 5
4) 1 and 5

Plz give answer alongwith explanation.
@Estallar12 thank you for ur help budy :)
@Unternehmer said:
@Estallar12In a machine a series of words is fed in which then gives an output after following a certain number of steps.Input: Sale Fake Hence Gate HisStep 1: Sale His Fake Hence GateStep 2: Sale His Hence Fake GateStep 3: Sale His Hence Gate FakeStep 3 is the output.What will be the second step if the input to the same machine isInput: Play Hope Greece Soul Watcha.Soul Watch Play Hope Greeceb.Watch Soul Play Hope Greece c.Watch Play Hope Greece Sould.Watch Soul Play Greece Hope
b?

I have posted this before also,but want to know if answer can be arrived at logically ?

The last two digits of N, a square of a natural number are both equal to x and x is not equal to 0.

The last digit x must be
a 1
b 4
c 6
d can not be determined

@paridhi11890 yes..its correct..
@Estallar12 said:
Not the Quant King. Just a Learner/Noob. The Thread has 940 pages only so far. Do I have to wait till it reaches Page 987 ?
worship
@nole said:
I have posted this before also,but want to know if answer can be arrived at logically ?The last two digits of N, a square of a natural number are both equal to x and x is not equal to 0.The last digit x must be a 1b 4c 6d can not be determined
4?
@Estallar12...can you please tell me what does this question means and how to solve it...???

How many such pair of letters are there in the word PAMPHLET which have as many letters between them in the word as in the English alphabet?

a.0
b.1
c.2
d.3

@paridhi11890 yes can u explain how you reached at answer ?
@Exodia said:
An alloy of gold and silver is taken in the ratio of 1:2 and another alloy of the same metals is taken in the ratio of 2:3. How many parts of the two alloys must be taken to obtain a new alloy consisting of gold and silver that are in the ratio 3:5?1) 3 and 52) 2 and 93) 2 and 54) 1 and 5Plz give answer alongwith explanation.
(5n + 6m)/(10n + 9m) = 3/5

=> 25n + 30m = 30n + 27m
=> 5n = 3m
So, n/m = 3/5.

Thus, 3 and 5. (Option A)
@nole said:
I have posted this before also,but want to know if answer can be arrived at logically ?The last two digits of N, a square of a natural number are both equal to x and x is not equal to 0.The last digit x must be a 1b 4c 6d can not be determined
N = abcd.....xx

Now, N can be 144, or 1444 (38^2) or 3844 ( 62^2) and so on.
Thus, 4.
@Unternehmer said:
@Estallar12...can you please tell me what does this question means and how to solve it...???How many such pair of letters are there in the word PAMPHLET which have as many letters between them in the word as in the English alphabet?a.0b.1 c.2d.3
P and T have 3 letters between them in Englsh Alphabet List i.e., QRS.
Here, in this word also, they have '3' letters in between them.

You need to pick such pairs and count the total number of pairs. :)

So, Pairs = PT only in this case. [Option B].
@Estallar12 said:
(5n + 6m)/(10n + 9m) = 3/5=> 25n + 30m = 30n + 27m=> 5n = 3mSo, n/m = 3/5.Thus, 3 and 5. (Option A)
OA : 1) 3 and 5
@nole said:
@paridhi11890 yes can u explain how you reached at answer ?
It cannot be one.. as no no. ending with one will give both its digits of the square as 1.. smallest no=11 gives 121..

12 gives 144 so 4 can be the last digit.

similarly the closest one can get to getting last 2 digits as 6 is in the square of 16=256

So answer=4
I do not have any logic.. just came to this answer by observation.. :)
Will wait for a better answer from quant gods on this thread..

@Estallar12answer is 4 (even in numbers u have got last two digits are 4 for all ) but still m not able too understand the solution.can u elaborate ?