Official Quant thread for CAT 2013

@shashankbapat23 said:
The number 165 is split into three parts €“ two perfect squares and one perfect cube. If all the three parts are positive and distinct,find the three parts.

both are req? EDIT: only 1 req..

from statement 1: a= 36 : b(square no) can be 4,121 : c (cube) cane be 125,8

from statement two : 36 ,4,125 satisfy
@shashankbapat23 said:
The number 165 is split into three parts €“ two perfect squares and one perfect cube. If all the three parts are positive and distinct,find the three parts.A. One of the perfect squares is 36.B. The perfect cube is the greatest of the three parts.Each question below is followed by two statements, A and B. Answer each question using thefollowing instructions:Choose 1 if the question can be answered by one of the statements alone, but cannot be answered by using the other statement alone.Choose 2 if the question can be answered by using either statement alone.Choose 3 if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.Choose 4 if the question cannot be answered even by using both the statements together.
2) ?? Either alone??

@shashankbapat23 said:
The number 165 is split into three parts €“ two perfect squares and one perfect cube. If all the three parts are positive and distinct,find the three parts.A. One of the perfect squares is 36.B. The perfect cube is the greatest of the three parts.Each question below is followed by two statements, A and B. Answer each question using thefollowing instructions:Choose 1 if the question can be answered by one of the statements alone, but cannot be answered by using the other statement alone.Choose 2 if the question can be answered by using either statement alone.Choose 3 if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.Choose 4 if the question cannot be answered even by using both the statements together.
both a and b?
@shashankbapat23 said:
The number 165 is split into three parts 창€“ two perfect squares and one perfect cube. If all the three parts are positive and distinct,find the three parts.A. One of the perfect squares is 36.B. The perfect cube is the greatest of the three parts.Each question below is followed by two statements, A and B. Answer each question using thefollowing instructions:Choose 1 if the question can be answered by one of the statements alone, but cannot be answered by using the other statement alone.Choose 2 if the question can be answered by using either statement alone.Choose 3 if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.Choose 4 if the question cannot be answered even by using both the statements together.
option 1?
Can be answered using statement 2 alone
@ScareCrow28 :P
@antodaya said:
both are req?from statement 1: a= 36 : b(square no) can be 4,121 : c (cube) cane be 125,8from statement two : 36 ,4,125 satisfy
Then why are both req? Can't it be answered only using 2?
@antodaya
@mailtoankit
@soumitrabengeri
@ScareCrow28

option A) is correct
consider the following cases:
129=125+4
129=8+121
If we take one perfect square as 36 both of the above cases are valid but in case we take b) only one case is possible
165= 36 + 125 + 4 as perfect cube needs to be the greatest.



@shashankbapat23 said:
The number 165 is split into three parts €“ two perfect squares and one perfect cube. If all the three parts are positive and distinct,find the three parts.A. One of the perfect squares is 36.B. The perfect cube is the greatest of the three parts.Each question below is followed by two statements, A and B. Answer each question using thefollowing instructions:Choose 1 if the question can be answered by one of the statements alone, but cannot be answered by using the other statement alone.Choose 2 if the question can be answered by using either statement alone.Choose 3 if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.Choose 4 if the question cannot be answered even by using both the statements together.
1?

165 = 36 + 121 + 8 = 36 + 125 + 4
165 = 64 + 100 + 1
B is sufficient
@soumitrabengeri said:
Then why are both req? Can't it be answered only using 2?
marked in hurry...
@antodaya said:
marked in hurry...
And I did: 165 - 36 = 119 :P
Suppose r, m and o are distinct positive integers such that:

r*m*o + r*m + m*o + r*o + r + m + o = 1000.

What is the value of r + m + o?
R,m,0

One writes 268 numbers around a circle such that the sum of 20 consecutive numbers is always equal to 75. The numbers 3, 4 and 9 are written in positions 17, 83 and 144 respectively. Find the number in position 210.
India and Brazil play the Soccer World Cup final in which India defeats Brazil 10 €“ 4. In how many different ways could the goals have been scored given that Brazil never had a lead over India during the match?
@sparklingaubade said:
Suppose r, m and o are distinct positive integers such that:r*m*o + r*m + m*o + r*o + r + m + o = 1000.What is the value of r + m + o?R,m,0

Maximum Value of r*m*o + r*m + m*o + r*o + r + m + o = 9^3 +3*9^2 +3*9 = 999
Where am I going wrong 😞 ??
@ScareCrow28 said:
Maximum Value of r*m*o + r*m + m*o + r*o + r + m + o = 9^3 +3*9^2 +3*9 = 999Where am I going wrong ??
Distinct integers
@sparklingaubade said:
Suppose r, m and o are distinct positive integers such that:r*m*o + r*m + m*o + r*o + r + m + o = 1000.What is the value of r + m + o?R,m,0
r*m*o + r*m + m*o + r*o + r + m + o = 1000

+1 on both sides

(r+1)(m+1)(o+1)= 1001=7*11*13

so r=6
m=10
o=12

so ans =28
@antodaya said:
r*m*o + r*m + m*o + r*o + r + m + o = 1000+1 on both sides(r+1)(m+1)(o+1)= 1001=7*11*13so r=6 m=10 o=12so ans =28
r,m,o
@antodaya said:
r*m*o + r*m + m*o + r*o + r + m + o = 1000+1 on both sides(r+1)(m+1)(o+1)= 1001=7*11*13so r=6 m=10 o=12so ans =28
Even i got the same ans..but then it has been mentioned as r,m,o
@grkkrg @soumitrabengeri then......

i think r,m,o
@soumitrabengeri said:
Even i got the same ans..but then it has been mentioned as r,m,o
@grkkrg said:
r,m,o
That's what I said na! Maximum value of their sum is 27 :(
@ScareCrow28 said:
That's what I said na! Maximum value of their sum is 27
Sorry..misread your post