[vinay4acme]

Hi All,

Wanted to get a list of some quality quant books to start my preparation. Can anybody please help me out. Thanks in advance.

[Whats in a name]

Originally Posted by vinay4acme

Hi All,

Wanted to get a list of some quality quant books to start my preparation.

Hi Vinay,

u can start off with Arun Sharma Quant book.
Its bettr if u can get hold of sum coaching centre material for that matter

Regards
Soham

[sreyu_2k]

Found this question in one of the mock CAT papers.

There are 'n' necklaces in a safe box(n>1). Every necklace has the same number of diamonds. Each necklace has at least 2 diamonds. The total number of diamonds in these 'n' necklaces is between 500 and 600. If this data is sufficient to find the value of n, then what can be the value of n?

(1) 22 (2) 23 (3) 27 (4) 29 (5) None of these

I didn't understand the solution they had given for the problem. Can someone explain the solution for this problem.

[navneet023]

Originally Posted by sreyu_2k

Found this question in one of the mock CAT papers.

There are 'n' necklaces in a safe box(n>1). Every necklace has the same number of diamonds. Each necklace has at least 2 diamonds. The total number of diamonds in these 'n' necklaces is between 500 and 600. If this data is sufficient to find the value of n, then what can be the value of n?

(1) 22 (2) 23 (3) 27 (4) 29 (5) None of these

I didn't understand the solution they had given for the problem. Can someone explain the solution for this problem.

The hint lies in the last the sentence of the problem.

500=2*250 or 100*5 or watever...
600=3*200 or 4*150 or watever...

But the question mentions that the given info is SUFFICIENT to find out the no. value of n.

so number of diamonds must be equal to the number of necklaces.

i.e. 500<n^2<600

Among the given examples....only 23 can be the answer.

Hence, answer is

2) 23

AM I CORRECT?

[shashank3012]

Originally Posted by sreyu_2k

Found this question in one of the mock CAT papers.

There are 'n' necklaces in a safe box(n>1). Every necklace has the same number of diamonds. Each necklace has at least 2 diamonds. The total number of diamonds in these 'n' necklaces is between 500 and 600. If this data is sufficient to find the value of n, then what can be the value of n?

(1) 22 (2) 23 (3) 27 (4) 29 (5) None of these

I didn't understand the solution they had given for the problem. Can someone explain the solution for this problem.

let the number of diamonds per necklace be s.
total number is ns.
500<ns<600

here,a unique solution is asked.it is possible,when,n and s are prime.but,then there would be a confusion about,which one is n and which one is s.hence,we consider squares of prime numbers.

as only 23 satisfies,answer is option (2)

[catdog]

1. x can either be largest side or smallest making 15 cm line as largest line
case 1:
x^2>15^2+8^2
=>x>17
also x<=15+8
x=18 19 20 21 22 23 (I assume that there is traingle with zero angles)

case 2:

8^2+x^2<15^2
=>x<13

also 15<=x+8

x>=7

x = 7 8 9 10 11 12 (again i assume traingle is possible with zero angles)

Hence answer is 12

or 10 depending on validity of above assumption since 12 is not in options 10 is correct answer

2)
Solutin is similar to x1+x2+x3=20 where x1,x2 x3 arewhole numbers ..
so soultion would 22!/20!2!=22*21/2=231

Originally Posted by SUPER XERO

Here are some questions from CAT'08

Q.1 Consider obtuse angled triangles with sides 8 cm,15 cm,x cm. If 'x' is an integer ,then how many such triangles exist?
1.5 2.21 3.10 4.15 5.14

Q.2 What is the number of distinct terms in the expansion of (a+b+c)^20?

1.231 2.253 3.242 4.210 5.228

[Unhappy_Demon]

See this problem..

m and r are two numbers on a number line, what is the value of r?

(1) The distance between r and 0 is 3 times the distance between m and 0

(2) 12 is halfway between m and r

Choice:
A if statement (1) ALONE is sufficient to answer the question but statement (2) alone is not sufficient;

B if statement (2) ALONE is sufficient to answer the question but statement (1) alone is not sufficient;

C if the two statements TAKEN TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient;

D if EACH statement ALONE is sufficient to answer the question;

E if the two statements TAKEN TOGETHER are still NOT sufficient to answer the question.

[navneet023]

Originally Posted by Unhappy_Demon

m and r are two numbers on a number line, what is the value of r?

(1) The distance between r and 0 is 3 times the distance between m and 0

(2) 12 is halfway between m and r

Choice:
A if statement (1) ALONE is sufficient to answer the question but statement (2) alone is not sufficient;

B if statement (2) ALONE is sufficient to answer the question but statement (1) alone is not sufficient;

C if the two statements TAKEN TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient;

D if EACH statement ALONE is sufficient to answer the question;

E if the two statements TAKEN TOGETHER are still NOT sufficient to answer the question.

Ans. E)

solns come as values of (m,r)

(6,18 ) and (-12,36)

So, no definite answer.
I can post the detailed answer if anyone needs clarification. But let others solve too.

[shashank3012]

Originally Posted by Unhappy_Demon

See this problem..

m and r are two numbers on a number line, what is the value of r?

(1) The distance between r and 0 is 3 times the distance between m and 0

(2) 12 is halfway between m and r

statement 1: |m|=3|r|

statement 2:either m>12 or n>12

from 1 and 2,
if m>12,m=18,n=6
if n>12,m=-6,n=30

cannot be deduced

so,option (E)

[sreyu_2k]

Originally Posted by navneet023

The hint lies in the last the sentence of the problem.

But the question mentions that the given info is SUFFICIENT to find out the no. value of n.

so number of diamonds must be equal to the number of necklaces.

i.e. 500<n^2<600

Among the given examples....only 23 can be the answer.

Hence, answer is

2) 23

AM I CORRECT?

Originally Posted by shashank3012

let the number of diamonds per necklace be s.
total number is ns.
500<ns<600

here,a unique solution is asked.it is possible,when,n and s are prime.but,then there would be a confusion about,which one is n and which one is s.hence,we consider squares of prime numbers.

as only 23 satisfies,answer is option (2)

Yes, 23 is the correct answer. But I still don't understand why you assume both the necklaces and the number of diamonds to be equal. For example, if I assume the number of necklaces to be 22, the number of diamonds to be 26, it is 572, a number b/w 500 and 600. Am I missing some concept here? Kindly explain.

@ Shashank: How did you find out they have asked an unique solution. And is it posiible only when two numbers are prime? I am sorry I am weak in the fundamentals.