Official Quant thread for CAT 2013

If we subtract 1 from all its factors (excluding 1) of number "N" then all resultants are primes.

Then find the Maximum value of "N"




M B A - Maths By Amiya : A House of Knowledge...!!!
@vbhvgupta said:
Can you explain??? I have edited the Q
Sum of external angles of a regular polygon is always 360.
If u know the value of one external angle, then dividing 360 by that value u can find no of sides.
N once no. of sides are known u can find sum of internal angles. (n-2)*180
@vbhvgupta said:
What is the sum of all internal angles of a regular polygon? i. The external angle is 60 ii. The polygon has 6 sides.
Can be solved using either statement?
@vbhvgupta said:
What is the sum of all internal angles of a regular polygon? i. The external angle is 60 ii. The polygon has 6 sides.
Either statement alone is sufficient.

Since it's a regular polygon, both the statements point (independently) to a regular hexagon.
@vbhvgupta said:
What is the sum of all internal angles of a regular polygon? i. The external angle is 60 ii. The polygon has 6 sides.
either of the statement.
Fluke
@floamiya said:
If we subtract 1 from all its factors (excluding 1) of number "N" then all resultants are primes.Then find the Maximum value of "N"M B A - Maths By Amiya : A House of Knowledge...!!!
#EDIT
Is it 24?
@adwaitjw said:
Is it 48?
Bhai i think it shud be 24...

48 has a factor 16 and when we subtract 1 from it...we get 15 which is not prime...

but not sure...
@pari19O1 said:
Bhai i think it shud be 24...48 has a factor 16 and when we subtract 1 from it...we get 15 which is not prime...but not sure...
Right.. I missed 16. It should be 24 then I guess..
@floamiya said:
If we subtract 1 from all its factors (excluding 1) of number "N" then all resultants are primes.Then find the Maximum value of "N"M B A - Maths By Amiya : A House of Knowledge...!!!
A wild guess.. 24

Raja mowed the grass on a rectangular lawn of dimensions 40,30. He mowed using a 1 m long strip.He started mowing from one of the corners of the lawn and mowed around it towards the center.How many times would he go round before he completed mowing half of the lawn?

Please guys post the soln as well................
Assuming sales are positive, did Spiritex Enterprises have higher sales in 1998 or in 1999?
i. In 1998 the sales were twice the arithmetic mean of the sales in 1998, 1999 and 2000.
ii. In 2000, the sales were three times those in 1999.

Can the ans be using 1st alone????

@bhatkushal said:
Raja mowed the grass on a rectangular lawn of dimensions 40,30. He mowed using a 1 m long strip.He started mowing from one of the corners of the lawn and mowed around it towards the center.How many times would he go round before he completed mowing half of the lawn?Please guys post the soln as well................
59?

half of lawn = 600
every round he turns
40*30 - 39*29 = 69
39*29 - 38*28 = 67
.
.
a = 69
d = -2
n = ?
S = 600 = n/2 *(140 - 2n) = n(70 - n)
n = 60
@bhatkushal said:
Raja mowed the grass on a rectangular lawn of dimensions 40,30. He mowed using a 1 m long strip.He started mowing from one of the corners of the lawn and mowed around it towards the center.How many times would he go round before he completed mowing half of the lawn?Please guys post the soln as well................
5 rounds?
140-4+[140-4-8]+[140-4-8-8]+[140-4-8-8-8]+[140-4-8-8-8-8]=600
@vbhvgupta said:
Assuming sales are positive, did Spiritex Enterprises have higher sales in 1998 or in 1999? i. In 1988 the sales were twice the arithmetic mean of the sales in 1998, 1999 and 2000. ii. In 2000, the sales were three times those in 1999.Can the ans be using 1st alone????
in statement 1, is it 1988..? :neutral:
@vbhvgupta said:
Assuming sales are positive, did Spiritex Enterprises have higher sales in 1998 or in 1999? i. In 1988 the sales were twice the arithmetic mean of the sales in 1998, 1999 and 2000. ii. In 2000, the sales were three times those in 1999.Can the ans be using 1st alone????
Yes..it can be answered..just change the 1st statement to 1998 instead of 1988
@vbhvgupta said:
Assuming sales are positive, did Spiritex Enterprises have higher sales in 1998 or in 1999? i. In 1988 the sales were twice the arithmetic mean of the sales in 1998, 1999 and 2000. ii. In 2000, the sales were three times those in 1999.Can the ans be using 1st alone????
I think there's a typo.
In statement 1 it should be "In 1998"
Then (a+b+c)/3 * 2 = a
b + c = a/2
So a > b
Hence, the question can be answered using 1 alone.

If there's no typo in the question, then the question cannot be answered by using both the statements together.
@vijay_chandola said:
A wild guess.. 24
but 2 is a factor of 24,,2-1 = 1 ..which is not prime
@floamiya said:
If we subtract 1 from all its factors (excluding 1) of number "N" then all resultants are primes.Then find the Maximum value of "N"M B A - Maths By Amiya : A House of Knowledge...!!!
3 ?
cant be 24...2 is a fctor of 24..2-1 = 1 is nt prime
@vijay_chandola said:
in statement 1, is it 1988..?
@grkkrg said:
I think there's a typo.If there's no typo in the question, then the question cannot be answered by using both the statements together.
@soumitrabengeri said:
Yes..it can be answered..just change the 1st statement to 1998 instead of 1988


Yes it is 1998.....thanx.....

@deedeedudu said:
5 rounds?140-4+[140-4-8]+[140-4-8-8]+[140-4-8-8-8]+[140-4-8-8-8-8]=600
what is this 140..............?