Official Quant thread for CAT 2013

@Subhashdec2 said:
bhai notepad use karloEngg h yaar tu...akal Lagao...
Engineer aur akal ka door-door ka rishta hota hai :splat:
@VJ12 said:
@ScareCrow2829 kyun liya..no of 5s tho 28 tha na?Formula hai?
Nai..nai..use chodo..ye dekho
Last digit of 120! = Last digit of 2*3*4*6*7*8*9 repeated 12 times= 6^12 = 6

Because 5 will make a 0 at the end so we neglected 5.. :)

@Faruq f(0)=1

f(2)=6

let x=1

f(1-1) + f(1+1) = f(1)

so f(0) + f(2) = f(1)

f(1)=7

similarly

f(3)=-1

f(4)=-7

f(5)=-6

f(6)=1

so its repeating after six intervals

so f(50)=6

@Faruq
@Faruq said:
If f(x 창ˆ' 1) + f(x + 1) = f(x) and f(2) = 6, f(0) = 1, then what is the value of f(50)?1) 창ˆ'72) 63) 14) 7

6
@ScareCrow28 said:
Nai..nai..use chodo..ye dekho Last digit of 120! = Last digit of 2*3*4*6*7*8*9 repeated 12 times= 6^12 = 6Because 5 will make a 0 at the end so we neglected 5..
bhai mujhe isme ek gadbad lag rhi h
jitne 5 nikale h utne 2 b to nikalne padenge
den only u can multiply
mujhe lag rha h ye shayad luckily aa gya
har jagah nahi chal paega ye
correct me if i m wrong
@Faruq can u please how did u reach that conclusion...
@Faruq said:
If f(x ˆ' 1) + f(x + 1) = f(x) and f(2) = 6, f(0) = 1, then what is the value of f(50)?1) ˆ'72) 63) 14) 7
1,7,6,-1, -7, -6 8 times , 1, 7, 6

answer = 6?


@Sufi0469 said:
@Faruq can u please how did u reach that conclusion...
Here QE =ax^2+bx+c =0

25a+5b+c =35
25a-5b+c=15

b=2
p and q are the roots of QE So p+q= sum of the roots-> -b/a
We have the value of -b but dont have the value of a So CBD
If one of the roots of the equation 2x^2+(3k+4)x+(9x^2-3k-1)=0 is twice the other, then which of the following can be the value of X?
-2/3
2/3
-1/3
1/3
@Faruq said:
If one of the roots of the equation 2x^2+(3k+4)x+(9x^2-3k-1)=0 is twice the other, then which of the following can be the value of X?-2/32/3-1/31/3
Value of k ?
@ScareCrow28 said:
Value of k ?
No bhai . X hi hai question mein . statement is correct
@Subhashdec2 said:
bhai mujhe isme ek gadbad lag rhi hjitne 5 nikale h utne 2 b to nikalne padengeden only u can multiplymujhe lag rha h ye shayad luckily aa gyahar jagah nahi chal paega yecorrect me if i m wrong
Ohhh..yes! Blunder! Thanks for correcting bhai..
@vbhvgupta
@vbhvgupta said:
A is a single digit prime no and b is any natural no .how many equation of the form X^2 - 4 sqrtA x + 38 = 0 have both real roots.
0? waise b is natural number kyun bataya. You dint use it anywhere.
@amresh_maverick No it should be 5!*6!
@Faruq said:
If one of the roots of the equation 2x^2+(3k+4)x+(9x^2-3k-1)=0 is twice the other, then which of the following can be the value of X?-2/32/3-1/31/3
Roots -> a, 2a

11x^2 + (3k+4)x - (3k+1) = 0

Sum = 3a = -(3k+4)/11 = -(3k+1)/11 - 3/11 = 2a^2 - 3/11

=> 22a^2 - 33a -3 = 0

What after this ?? :rolleyes:

Value of K hoga bhai..what is the meaning of value of "x" ?? We can find k


ABCD is a quadrilateral with integral sides and perimeter of 36 cm . How many different quadrilaterals ABCD can be formed?

@ScareCrow28

Value ka x charo ho sakthe hain provided the appropriate values of k are assumed. For the question to be right, he should either give k or give a condition for k.

I think so..

@vbhvgupta said:
if the price of a book goes down by20 per dozen a person can buy 50 dozen books more for 30,000. Find the original price of the book.
5??

@Asfakul

I think it is 6545...im not sure