Official Quant thread for CAT 2013

A woman is walking down a downward-moving escalator and steps down 10 steps to reach the bottom. Just as she reaches the bottom of the escalator, a sale commences on the floor above. She runs back up the downward moving escalator at a speed five times that which she walked down. She covers 25 steps in reaching the top. How many steps are visible on the escalator when it is switched off?
@albiesriram said:
On reversing a three-digit number, we get a larger number. After adding them together, the result obtained is not a palindrome. The process is repeated with the new number obtained. We get a three-digit number, which is not a palindrome at the end of the 1st or 2nd repetition. At the end of the 3rd repetition, we get a four-digit palindrome. What is the difference between the initial three-digit number and its reverse?1. 99 2. 100 3. 165 4. 101
99 is the obvious answer but can you tell me the original 3 digit number?
@albiesriram said:
On reversing a three-digit number, we get a larger number. After adding them together, the result obtained is not a palindrome. The process is repeated with the new number obtained. We get a three-digit number, which is not a palindrome at the end of the 1st or 2nd repetition. At the end of the 3rd repetition, we get a four-digit palindrome. What is the difference between the initial three-digit number and its reverse?1. 99 2. 100 3. 165 4. 101
can you tell me the original 3 digit number?
@albiesriram said:
On reversing a three-digit number, we get a larger number. After adding them together, the result obtained is not a palindrome. The process is repeated with the new number obtained....



can you tell me the original 3 digit number?

@mani0303 said:
Is it 99?I haven't tried as if we subtract from a three digit number from its reverse,then the result would be in a multiple of 99
can you tell me the original 3 digit number?
@mani0303 said:
A woman is walking down a downward-moving escalator and steps down 10 steps to reach the bottom. Just as she reaches the bottom of the escalator, a sale commences on the floor above. She runs back up the downward moving escalator at a speed five times that which she walked down. She covers 25 steps in reaching the top. How many steps are visible on the escalator when it is switched off?
20 ?
@ganeshv266 said:
can you tell me the original 3 digit number?
IMO,It might be very difficult:)
@ganeshv266 said:
can you tell me the original 3 digit number?
IMO,It might be very difficult
@ganeshv266 said:
can you tell me the original 3 digit number?
IMO,It might be difficult
@techgeek2050 can u please share d approach
@techgeek2050 can u please share d approach
A motorboat went downstream for 28km and immediately returned. It took the boat twice as long to make the return trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 mins. Find the speed of the the boat in still water and the speed of the river flow.a. 9km/h, 3km/hb. 9km/h, 6km/hc. 8km/h, 2km/hd. 12km/h, 3km/h.??plz provide elaborate answer
@ani6 said:
A motorboat went downstream for 28km and immediately returned. It took the boat twice as long to make the return trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 mins. Find the speed of the the boat in still water and the speed of the river flow.a. 9km/h, 3km/hb. 9km/h, 6km/hc. 8km/h, 2km/hd. 12km/h, 3km/h.??plz provide elaborate answer
HINT

when upstream distance and downstream distance are same , the

upstream speed / downstream speed = downstream time / upstream time

B-R/B +R = 1/2

@abhishek.2011 @Buck.up @pratskool @techgeek2050 @harshit12 @zuloo

Can someone plz solve this sum with (approach) coz I am stuck 😞 -->

Chiku & Charu are running at a circular track path having a diameter of 1050m at the speeds of 15m/s & 25m/s while Chaman is running along the path AB (diameter of the track) at a speed of 35m/s. Chaman turns back immediately after reaching B & again immediately after reaching A. All of them start from the same point, i.e. A, simultaneously.

If Chiku & Charu are running in the same direction,

1) What is the number of distinct points at which Chiku & Charu meet on the circular track?
[2, 3, 7, 8, None of these]

If Chiku & Charu are running in opposite direction,

2) What is the shortest distance along the circular path between point A & the point at which Chiku & Charu meet for the 3rd time?
[247.5, 412.5, 660, 1320, 2887.5]
3) What is the shortest distance between Chiku & Charu along the circular path when Chaman reaches point B for the 5th time?
[150, 270, 412.5, 900, 750]
4)What is the number of distinct points on the circular path at which Chiku & Charu NOW meet?
[2, 3, 7, 8, 10]

Plz someone solve this sum....
@harshit12 said:
@techgeek2050 can u please share d approach
think of it as a problem of relative speed

let there be n steps

speed of escalator be e ; initial speed of woman be x , time t1

since she takes 10 steps , x = 10/t1

upstairs moving speed = 25/t2 = 5x = 50/t1

=> t1 = 2t2 ........(1)

(e + x)t1 = n

(5x - e)t2 = n

=> solving these 2 using (1) , n = 20



let the boat speed be b km/hr and that of river be r km/hr.

2*[28/(b+r)]= [28/(b-r)] =>b=3r------------1)
[28/(b+2r)]+[28/(b-2r)]= 672/60 => 10b=2b^2-8r^2----------2)
putting the value from 1) into 2) we get
r=3km/hr & b=9 km/hr
option a) and option e)
i hope it helps :)
@ani6 said:
A motorboat went downstream for 28km and immediately returned. It took the boat twice as long to make the return trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 mins. Find the speed of the the boat in still water and the speed of the river flow.a. 9km/h, 3km/hb. 9km/h, 6km/hc. 8km/h, 2km/hd. 12km/h, 3km/h.??plz provide elaborate answer
speed of river 3km/hr & speed of boat= 9km/hr

Question ---


Price of petrol has increased to 40% . If MR banerjee wanted to limit his expenditure to 5% What should be the reduction in consumption ?????????????

Please help with approach

OA - 25%
@ananyboss said:
Question ---

Price of petrol has increased to 40% . If MR banerjee wanted to limit his expenditure to 5% What should be the reduction in consumption ?????????????

Please help with approach

OA - 25%
10 x 10 = 100
14 x x = 105
(10 - 105/14 ) / 10 = 25%
@next_big_thing said:
Can someone plz solve this sum with (approach) coz I am stuck -->Chiku & Charu are running at a circular track path having a diameter of 1050m at the speeds of 15m/s & 25m/s while Chaman is running along the path AB (diameter of the track) at a speed of 35m/s. Chaman turns back immediately after reaching B & again immediately after reaching A. All of them start from the same point, i.e. A, simultaneously.If Chiku & Charu are running in the same direction,1) What is the number of distinct points at which Chiku & Charu meet on the circular track? [2, 3, 7, 8, None of these]If Chiku & Charu are running in opposite direction,2) What is the shortest distance along the circular path between point A & the point at which Chiku & Charu meet for the 3rd time? [247.5, 412.5, 660, 1320, 2887.5]3) What is the shortest distance between Chiku & Charu along the circular path when Chaman reaches point B for the 5th time? [150, 270, 412.5, 900, 750]4)What is the number of distinct points on the circular path at which Chiku & Charu NOW meet? [2, 3, 7, 8, 10]Plz someone solve this sum....
1)if they are running in the same direction,then the number of distinct points that they would meet = Difference of ratio of their speeds..so in this case it should be 5 - 3 = 2 points

2)This one,it should be 660:it's 2*22/7*(1050/2)*(1/5)

3)it's 150

4) 1)if they are running in the opposite direction,then the number of distinct points that they would meet = sum of ratio of their speeds..so in this case it should be 5 + 3 = 8 points