Official Quant thread for CAT 2013

What is the number of integers greater than 7000 that can be formed with digits 3, 5, 7, 8 and 9 such that no digits are being repeated? (good night puys )
@shattereddream starting with 7,8,9 so is it 72 :)
@shattereddream said:
What is the number of integers greater than 7000 that can be formed with digits 3, 5, 7, 8 and 9 such that no digits are being repeated? (good night puys )
72+120=192

yup its 192 i considered only 4 digit numbers sorry 😛

@prats92 said:
yup its 192 i considered only 4 digit numbers sorry
what is there to feel sorry about..
@shattereddream said:
What is the number of integers greater than 7000 that can be formed with digits 3, 5, 7, 8 and 9 such that no digits are being repeated? (good night puys )
192 ?

four digit integers

7_ _ _ = 4*3*2 = 24
8_ _ _ = 4*3*2 = 24
9_ _ _ = 4*3*2 = 24

five digit integers

3_ _ _ _ = 4*3*2*1 = 24
5_ _ _ _ = 4*3*2*1 = 24
7_ _ _ _ = 4*3*2*1 = 24
8_ _ _ _ = 4*3*2*1 = 24
9_ _ _ _ = 4*3*2*1 = 24

total = 72 + 120 = 192
A, B, C are the vertices of a triangle of area 60 cm^2. Let AD be the median from A on BC and BY be the median from B on AD. If BY is extended to meet AC in E, what is the area of triangle AYE?
@shattereddream 192...
@amresh_maverick said:
A, B, C are the vertices of a triangle of area 60 cm^2. Let AD be the median from A on BC and BY be the median from B on AD. If BY is extended to meet AC in E, what is the area of triangle AYE?
15cm^2??
@amresh_maverick said:
A, B, C are the vertices of a triangle of area 60 cm^2. Let AD be the median from A on BC and BY be the median from B on AD. If BY is extended to meet AC in E, what is the area of triangle AYE?
@pratskool said:
15cm^2??
Ans is 5
@chillfactor
doesn't 99999995 satisfy the conditions ?
@amresh_maverick said:
A, B, C are the vertices of a triangle of area 60 cm^2. Let AD be the median from A on BC and BY be the median from B on AD. If BY is extended to meet AC in E, what is the area of triangle AYE?
construct a line ll to BE frm D meetin AC @ K
BD : DC=EK:KC=1:1
AY:YD=AE:EK=1:1
so AE:EC=2:1
Area ABE=1/3*60=20
Area ABY=60*1/2*1/2=15
Area AYE=20-15=5.

two taps are running continously to fill a tank 1st one will take 5 hours by itself and 2nd one will 20 hours by itself. but operator failed to realise leak in the tank from beginning which caused a delay of 1 hour in filling tank find the time in which leak would empty a filled tank

15
20
25
40

@raopradeep said:
two taps are running continously to fill a tank 1st one will take 5 hours by itself and 2nd one will 20 hours by itself. but operator failed to realise leak in the tank from beginning which caused a delay of 1 hour in filling tank find the time in which leak would empty a filled tank15202540
WIthout leak , time taken = 1/5+1/20 = 1/4 So 4 hours
Withleak 4+1=5 hours
Now 1/5+1/20-1/x=1/5=>x=20
@shattereddream said:
What is the number of integers greater than 7000 that can be formed with digits 3, 5, 7, 8 and 9 such that no digits are being repeated? (good night puys )
4 digit numbers =24*3=72
5 digit numbers = 5! =120
total =192 numbers
@raopradeep said:
two taps are running continously to fill a tank 1st one will take 5 hours by itself and 2nd one will 20 hours by itself. but operator failed to realise leak in the tank from beginning which caused a delay of 1 hour in filling tank find the time in which leak would empty a filled tank15202540
20 hrs ?
@shattereddream said:
What is the number of integers greater than 7000 that can be formed with digits 3, 5, 7, 8 and 9 such that no digits are being repeated? (good night puys )
The answer is 192
@raopradeep said:
two taps are running continously to fill a tank 1st one will take 5 hours by itself and 2nd one will 20 hours by itself. but operator failed to realise leak in the tank from beginning which caused a delay of 1 hour in filling tank find the time in which leak would empty a filled tank15202540
20 hrs ??
In a quadrilateral ABCD, AC and BD intersect at O, where AB = 16 cm, AO = 15 cm, OB = 5 cm, BC = 13 cm, OC = 12 cm, OD = 9 cm and CD = 15 cm. If it is given that one of the dimensions of either AB or BC or CD is incorrect (while all the other dimensions are correct), then the incorrect dimension is of

a AB
b BC
c CD
d Either BC or CD
e Cannot be determined

three diggers dug a ditch of 324 m deep in 6 days working simultaneously . during one shift , the third one digs as many metres more than second as the second digs more than first. the third diggers work in 10 days is equal to first diggers work in 14 days. how many metres does first digger dig per shift

15
18
21
27