Official Quant thread for CAT 2013

@soham2208 said:
0 is not divisible by 9 ?
ops
@chillfactor said:

P is a set of n consecutive integers such that sum of digits of any of these n numbers is not divisible by 9. Find the maximum possible value of n.
8 ? 😞

9k + 1 to 9k + 8 ..
@Cat.Aspirant123 said:
P and Q are 120 km apart. A starts from P towards Q at 6 a.m. B starts from Q towards P at 11a.m. A is 50% faster than B. They cross each other at 8 p.m. A ₮â„Ēs speed (in km/hr) is _____.
14*3x+9*2x=120
x=2....A=6km/hr...B=4km/hr
@soham2208 said:
8 ? 9k + 1 to 9k + 8 ..
Yup, 8 is correct.
Any number which is multiple of 9 will have sum of digits divisible by 9.

P is a set of n consecutive integers such that sum of digits of any of these n numbers is not divisible by 8. Find the maximum possible value of n.
Bacteria reproduce in such a manner that every hour their number doubles. In a controlled
experiment that started with one bacterium in a jar at 2 pm on Saturday, the jar was found to be
completely full at 12 noon on Wednesday. Had there been 64 bacteria initially, when would the jar be
completely full?
@gnehagarg said:
Digital sum 7*8=A+B+872=A+B+87B=1,A=4B=2 A=8 no solutionA=4 ,B=1
dere is sum flaw in d ques itself.......it was a point of discussion in the morning.....for a better idea take a look at this pagehttp://www.pagalguy.com/posts/4114355
@chillfactor said:
Yup, 8 is correct.Any number which is multiple of 9 will have sum of digits divisible by 9.P is a set of n consecutive integers such that sum of digits of any of these n numbers is not divisible by 8. Find the maximum possible value of n.
@chillfactor Sir... Why not 17? { -8 , -7 ... -1,0,1,...7,8} .. n consecutive integers.

24, 60, 120, 210, ?


300
336
420
525
@chillfactor said:
Let me reframe the questionP is a set of n consecutive integers such that sum of digits of any of these n numbers is not divisible by 9. Find the maximum possible value of n.@naga25frenchnothing was mentioned in the question (a1, a2, a3, ..., an can be equal or may be not). They can be equal unless mentioned in the question
9k+1,9k+2...to...9k+8 if sum of digits of any of these n numbers is not divisible by 9 = 8

9k,9k+1,9k+2,9k+3,9k+4,
if sum of digits of sum of any two of n numbers is not divisible by9= 5

9k+1,9k+2,9k+3 if sum of digits of sum of any number of these n numbers is not divisible by 9 = 3
@Cat.Aspirant123 said:
Bacteria reproduce in such a manner that every hour their number doubles. In a controlledexperiment that started with one bacterium in a jar at 2 pm on Saturday, the jar was found to becompletely full at 12 noon on Wednesday. Had there been 64 bacteria initially, when would the jar becompletely full?
6.00 A.M. Wednesday?

2^(24*3 + 22) = 2^94
64 = 2^6
2^94/2^6 = 2^88
88 = 24*3 + 16
6AM Wed
@Cat.Aspirant123 said:
Bacteria reproduce in such a manner that every hour their number doubles. In a controlledexperiment that started with one bacterium in a jar at 2 pm on Saturday, the jar was found to becompletely full at 12 noon on Wednesday. Had there been 64 bacteria initially, when would the jar becompletely full?
6am wednesday?
@chillfactor said:
Yup, 8 is correct.Any number which is multiple of 9 will have sum of digits divisible by 9.P is a set of n consecutive integers such that sum of digits of any of these n numbers is not divisible by 8. Find the maximum possible value of n.
Is it 8?
@Cat.Aspirant123 said:
Bacteria reproduce in such a manner that every hour their number doubles. In a controlledexperiment that started with one bacterium in a jar at 2 pm on Saturday, the jar was found to becompletely full at 12 noon on Wednesday. Had there been 64 bacteria initially, when would the jar becompletely full?
6 am Wednesday?
@jain4444 😞 Meko Tag tak nahi kiya ...:( ,, I am Back :P
@rachit_28 said:
24, 60, 120, 210, ?300336420525
336?

Difference : 36,60,90,...
= 6*6,6*10,6*15,...
= 6*6,6*(6+4),6*(6+4+5),...
Next difference = 6*(6+4+5+6) = 126
So the next number will be 210+126 = 336
@jain4444 said:
yeah I wasted 1 term by taking it as "1" a ship is moving at a speed of 30 km/hr. To know the depth of the ocean beneath it, it sends a radiowave which travels at a speed 200m/s. The ship receives the signal after it has moved 500 m. The depth of the ocean is.(A) (square root 143)/2 km (B) 12 km (C) square root6 (D) 8 km
a?
speed of ship=25/3 m/s
time taken to cover 500m= 500/25*3=60sec
signal will cover 60*200=12000m=6km??
@rachit_28 said:
24, 60, 120, 210, ?300336420525
336..? nth term = n^3 - n
@Cat.Aspirant123 said:
Two men are walking towards each other along a railway track. They each start at opposite endsof the railway track. One man is walking faster than the other. They pass each other 720 yards fromthe nearest of the two ends.When each man reaches the other end of the track, he stops for a cigarette. Both men take exactlythe same amount of time to smoke a cigarette. Then they turn around and head back to their originalstarting positions. This time they meet 400 yards from the other end of the track.What is the length of the track?a) 1760 yards b) 2000 yards c) 2160 yards d) 1540 yards
1760??
@rachit_28 said:
24, 60, 120, 210, ?300336420525
an=(n-1)n(n+1) n>=3

a7=(7-1)7(8) = 6*7*8= 336?


@chillfactor said:
Yup, 8 is correct.Any number which is multiple of 9 will have sum of digits divisible by 9.P is a set of n consecutive integers such that sum of digits of any of these n numbers is not divisible by 8. Find the maximum possible value of n.
8?