Official Quant thread for CAT 2013

@mohitjain said:
area=1/2mod(x1(y2-y3)+x2(y3-y1)+x3(y1-y2)aftr dis we get d equation as 2p^2+p=36and solving dis we get p=4
arey bhai this formula comes out from the matrix...
Try it out..use the matrix to solve w/o taking the values..as in take it like x1, x2,x3 and y1,y2 and y3...
You will see this is exactly what you get...
@saurav205 said:
arey bhai this formula comes out from the matrix...Try it out..use the matrix to solve w/o taking the values..as in take it like x1, x2,x3 and y1,y2 and y3...You will see this is exactly what you get...
kk mate..u gt d equation?? simple error ho raha hoga kahin pe
@nole take the side as perpendicular which is oppiste to the angle ...suppose u r calculating sin a then side opposite to angl a will be prpendicular and the rest one is hyp.
@mohitjain said:
kk mate..u gt d equation?? simple error ho raha hoga kahin pe
silly me...

How many times in a day are the two hands of a clock opposide to each other in a line?

Some logarithm .If log (a/b) + log(a/b) = log (a+b)
find the value of a^2 - b^2 = ?



Q) There are two numbers such that, if both of them are individually increased by 5 and then by the same percentage as they were increased in the first instance, each would result in 36. Find the difference between the two number?


Options:-

a) 23

b) 22

c) 20

d) 24

@tmohan02 said:

Q) There are two numbers such that, if both of them are individually increased by 5 and then by the same percentage as they were increased in the first instance, each would result in 36. Find the difference between the two number?


Options:-

a) 23

b) 22

c) 20

d) 24

X+5 + 5(X+5)/X=36
(X+5)(1+5/X) =36
(X+5)^2=36X
X^2-26X+25=0
X=25,1
24??
@The_Loser said:
Some logarithm .If log (a/b) + log(a/b) = log (a+b)
find the value of a^2 - b^2 = ?
a^2/b^2 = a+b
a^2-b^2 = b^2(a+b-1)

@tmohan02 said:
Q) There are two numbers such that, if both of them are individually increased by 5 and then by the same percentage as they were increased in the first instance, each would result in 36. Find the difference between the two number?Options:- a) 23b) 22c) 20d) 24
(x+5) + {(x+5)*5/x} = 36
x= 25,1
diff = 24...
@tmohan02 said:
Q) There are two numbers such that, if both of them are individually increased by 5 and then by the same percentage as they were increased in the first instance, each would result in 36. Find the difference between the two number?Options:- a) 23b) 22c) 20d) 24
24..
numbers are 1 and 25..
@tmohan02 said:
Q) There are two numbers such that, if both of them are individually increased by 5 and then by the same percentage as they were increased in the first instance, each would result in 36. Find the difference between the two number?Options:- a) 23b) 22c) 20d) 24
Is it 24?
@tmohan02 said:
Q) There are two numbers such that, if both of them are individually increased by 5 and then by the same percentage as they were increased in the first instance, each would result in 36. Find the difference between the two number?Options:- a) 23b) 22c) 20d) 24
24 25 and 1 are the nos
An analysis of 100 personal injury claims made upon a motor insurance company revealed that loss or injury in respect of an eye, an arm and a leg occurred in 30, 50 and 70 cases respectively. Claims involving the loss or injury to exactly two of these members numbered 44. How many claims involved loss or injury to all three? Assume that one or another of the three members was mentioned in each of the 100 claims.
@Exodia said:
How many integer values of x and y are there such that 4x+3y=3 while mod(x)
OA: 143
@mailtoankit @Logrhythm
@Exodia said:
Find GCD of (2^100)-1 and (2^120) -1Plz give answer alongwith explanation.


@mohitjain said:
An analysis of 100 personal injury claims made upon a motor insurance company revealed that loss or injury in respect of an eye, an arm and a leg occurred in 30, 50 and 70 cases respectively. Claims involving the loss or injury to exactly two of these members numbered 44. How many claims involved loss or injury to all three? Assume that one or another of the three members was mentioned in each of the 100 claims.
3...

I + II + III=100
I + 2II + 3 III=150

II+2III=50
hence III=3
log(2a) c = 4, log(5b) c = 12 and log(ab) c = 3/7. Find the value of c.
@mohitjain said:
An analysis of 100 personal injury claims made upon a motor insurance company revealed that loss or injury in respect of an eye, an arm and a leg occurred in 30, 50 and 70 cases respectively. Claims involving the loss or injury to exactly two of these members numbered 44. How many claims involved loss or injury to all three? Assume that one or another of the three members was mentioned in each of the 100 claims.
I + II + III = 100
I + 2*II + 3*III = 150
150 + II + III - 2*II - 3*III = 100
2*III = 150 - 100 - 44
2*III = 6
III = 3 ?
@The_Loser said:
log(2a) c = 4, log(5b) c = 12 and log(ab) c = 3/7. Find the value of c.
i dono if this s the answer.. but i have got a weird solution.. is the answer 10^(102/7)?