Official Quant thread for CAT 2013

@albiesriram said:
If there are 10 elements in a set A, how many elements are there in its power set, not including the null set?1. 729 2. 81 3. 399 4. 1023
1023
@albiesriram said:
On reversing a three-digit number, we get a larger number. After adding them together, the result obtained is not a palindrome. The process is repeated with the new number obtained. We get a three-digit number, which is not a palindrome at the end of the 1st or 2nd repetition. At the end of the 3rd repetition, we get a four-digit palindrome. What is the difference between the initial three-digit number and its reverse?1. 99 2. 100 3. 165 4. 101
palindrome kya hota hai dude? kindly let me know.
@albiesriram said:
Consider a triangle. Its longest side has length 12 and another of its sides has length 9. Its area is 54. What is the exact length of its third side?1.15 2.16 3.18 4.20
15 ?

9^2 + 12^2 = 15^2
@zuloo said:
palindrome kya hota hai dude? kindly let me know.
454 is palindrome.. MALAYALAM is a palindrome..jo age se aur peeche se same hota hai
@meenu05 said:
Please solve it .
. Where is the problem?

u want a proof for that theorem?

area of ADE = k*l. p*m.Cos A

area of ABC is k*(l+x) .P*(m+y) .Cos A
Divide them.
@zuloo said:
palindrome kya hota hai dude? kindly let me know.
palindrome is which remains same when reversed
like 12521, 1334331, NAMAN, DALDA
@albiesriram said:
On reversing a three-digit number, we get a larger number. After adding them together, the result obtained is not a palindrome. The process is repeated with the new number obtained. We get a three-digit number, which is not a palindrome at the end of the 1st or 2nd repetition. At the end of the 3rd repetition, we get a four-digit palindrome. What is the difference between the initial three-digit number and its reverse?1. 99 2. 100 3. 165 4. 101
1. 99 hai kya
@albiesriram said:
If there are 10 elements in a set A, how many elements are there in its power set, not including the null set?1. 729 2. 81 3. 399 4. 1023
10c1 + 10c2 + 10c3 + .......+ 10c10 = 1023 ?
@albiesriram sorry i updated the wrong photo . i will update the question now
@albiesriram said:
On reversing a three-digit number, we get a larger number. After adding them together, the result obtained is not a palindrome. The process is repeated with the new number obtained. We get a three-digit number, which is not a palindrome at the end of the 1st or 2nd repetition. At the end of the 3rd repetition, we get a four-digit palindrome. What is the difference between the initial three-digit number and its reverse?1. 99 2. 100 3. 165 4. 101
1>99
diffrence between one 3 digit number and its reverse must be in 99(a-c) form so must be divisible by 99
@albiesriram said:
On reversing a three-digit number, we get a larger number. After adding them together, the result obtained is not a palindrome. The process is repeated with the new number obtained. We get a three-digit number, which is not a palindrome at the end of the 1st or 2nd repetition. At the end of the 3rd repetition, we get a four-digit palindrome. What is the difference between the initial three-digit number and its reverse?1. 99 2. 100 3. 165 4. 101
Is it 99?

I haven't tried as if we subtract from a three digit number from its reverse,then the result would be in a multiple of 99
@albiesriram said:
On reversing a three-digit number, we get a larger number. After adding them together, the result obtained is not a palindrome. The process is repeated with the new number obtained. We get a three-digit number, which is not a palindrome at the end of the 1st or 2nd repetition. At the end of the 3rd repetition, we get a four-digit palindrome. What is the difference between the initial three-digit number and its reverse?1. 99 2. 100 3. 165 4. 101
Difference should be divisible by 9 and hence, Option 1. 99
@albiesriram said:
On reversing a three-digit number, we get a larger number. After adding them together, the result obtained is not a palindrome. The process is repeated with the new number obtained. We get a three-digit number, which is not a palindrome at the end of the 1st or 2nd repetition. At the end of the 3rd repetition, we get a four-digit palindrome. What is the difference between the initial three-digit number and its reverse?1. 99 2. 100 3. 165 4. 101
Multiple of 99..I wonder What would a rigorous solution look like!
@psk.becks said:
1. 99 hai kya
@AsihekAdhvaryu said:
1>99
@mani0303 said:
Is it 99?


Please solve it .

@albiesriram said:
Lagta hai hogaya galat :P
@ScareCrow28 said:
Lagta hai hogaya galat
Galat kyun hoga! :splat: :(
A can complete a piece of work in 4 days. B takes double the time taken by A. C takes double that of B, and D takes double that of C to complete the same task. They are paired in groups of two each. One pair takes two- thirds the time needed by the second pair to complete the work. Which is the first pair?
1. A, B 2. A, C 3. B, C 4. A, D
@albiesriram said:
Consider a triangle. Its longest side has length 12 and another of its sides has length 9. Its area is 54. What is the exact length of its third side?1.15 2.16 3.18 4.20
if the third side is 15 then the area becomes 0.???????how come possible?
@albiesriram said:
On reversing a three-digit number, we get a larger number. After adding them together, the result obtained is not a palindrome. The process is repeated with the new number obtained. We get a three-digit number, which is not a palindrome at the end of the 1st or 2nd repetition. At the end of the 3rd repetition, we get a four-digit palindrome. What is the difference between the initial three-digit number and its reverse?1. 99 2. 100 3. 165 4. 101
99 hai kya ??

diff. should be a multiple of 99