Official Quant thread for CAT 2013

@REVEALED said:
(5x-2)(y-3)=66=1*66=2*3only integer solution when 5x-2=3----x=1 and y=5
Sanket here :)
@vijay_chandola said:
One question from my side:[x] = Greatest integer less than or equal to x{x} = x €“ [x]How many real values of x satisfy the equation 5[x] + 3{x} = 6 + x?(a) 0 (b) 1 (c) 2 (d) More than 2
ans. (a) 0 aayegi???
@pavimai said:
N=7777.......7777,where the digit 7 repeats itself 429 times.what is the remainder left when N is divided by 1144 ??
777
@vijay_chandola said:
One question from my side:[x] = Greatest integer less than or equal to x{x} = x €“ [x]How many real values of x satisfy the equation 5[x] + 3{x} = 6 + x?(a) 0 (b) 1 (c) 2 (d) More than 2

@REVEALED said:
(5x-2)(y-3)=66=1*66=2*3only integer solution when 5x-2=3----x=1 and y=5
If no. is like x.y
then [x] = x
and {x} = .y
so , 5x + .3y = 6 + x
4x + .3y = 6

no solution possible
sahi hein kya???
@vijay_chandola said:
One question from my side:[x] = Greatest integer less than or equal to x{x} = x €“ [x]How many real values of x satisfy the equation 5[x] + 3{x} = 6 + x?(a) 0 (b) 1 (c) 2 (d) More than 2
0?
@vijay_chandola said:
One question from my side:[x] = Greatest integer less than or equal to x{x} = x €“ [x]How many real values of x satisfy the equation 5[x] + 3{x} = 6 + x?(a) 0 (b) 1 (c) 2 (d) More than 2
3x+2[x]=6+x
2[x]=6-2x
x+[x]=3
no solution

OA of the previous question: a) 0


Two different solutions of honey, milk and water are mixed with each other three times in varying proportions. The concentration of honey and milk in the three resulting solutions are found to be (10%, 16%), (12%, 12%) and (16%, x%) respectively. What is the value of x?

(a) 4 (b) 7 (c) 8 (d) 10

@pratyush9811 said:
In a right angled triangle ABC, angle B is right angle, side AB is half of the hypotenuse. AE is parallel to median BD and CE is parallel to BA. What is the ratio of length of BC to that of EC?
1:root3:2----30 60 90...
bc=root3x
ec=2c

bc/ec=root3/2
@vijay_chandola said:
OA of the previous question: a) 0Two different solutions of honey, milk and water are mixed with each other three times in varying proportions. The concentration of honey and milk in the three resulting solutions are found to be (10%, 16%), (12%, 12%) and (16%, x%) respectively. What is the value of x?(a) 4 (b) 7 (c) 8 (d) 10
10?
@vijay_chandola said:
OA of the previous question: a) 0Two different solutions of honey, milk and water are mixed with each other three times in varying proportions. The concentration of honey and milk in the three resulting solutions are found to be (10%, 16%), (12%, 12%) and (16%, x%) respectively. What is the value of x?(a) 4 (b) 7 (c) 8 (d) 10
c) 8 ???
@vijay_chandola said:
OA of the previous question: a) 0Two different solutions of honey, milk and water are mixed with each other three times in varying proportions. The concentration of honey and milk in the three resulting solutions are found to be (10%, 16%), (12%, 12%) and (16%, x%) respectively. What is the value of x?(a) 4 (b) 7 (c) 8 (d) 10
4?

pattern dekh kar lag raha hai.
@maddy2807 said:
4?pattern dekh kar lag raha hai.
meine pattern se 8 kiya -_-

@krum said:
10?
Pehle movie poorie kr lo 😛 :splat:

wrong answer
@insane.vodka said:
meine pattern se 8 kiya -_-
Pattern se 8 kaise :splat:

10-12 2 gap 16-12 4 gap (2 times difference)
12-16 4 gap==> 12 to 4 shall it be (for 2 times difference)

find the tens digit of 2007^2007?

1)0
2)4
3)1
4)9
@maddy2807 said:
Complete the series: 0, 8, 54, 192, 500, ?
1^3*0
2^3*1
3^3*2
4^3*3
5^3*4
6^3*5
@bhatkushal said:
find the tens digit of 2007^2007?1)02)43)14)9
2007^2007 mod 100
=7^2007 mod 100
=7^7 mod 100
= 43 mod 100

==> tens digit=4
@bhatkushal said:
find the tens digit of 2007^2007?
1)0
2)4
3)1
4)9
4
07 has cycilicty of 2 digits 01,49,43,01
@bhatkushal said:
find the tens digit of 2007^2007?1)02)43)14)9
2007^2007
=>2007*(2007)^2006

considering last 2 digits

2007*(49)^1003
=2007*49*(01)^501
=2007*48*01
=XXX43

4

@pratyush9811 said:
In a circle, two perpendicular chords, AB of length 5.1 cm and CD of length 6.8 cm, intersect at a point P. Find the maximum possible distance from the center of the circle to P.
a=1.7*3
b=1.7*4
ryt angle triangle
p=12*1.7/5=4.08
@bhatkushal said:
find the tens digit of 2007^2007?1)02)43)14)9
4..