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CAT Coaching

CAT Coaching

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Akash 4 days ago in  CAT Coaching classes

The first n natural numbers, 1 to n, have to be arranged in a row from left to right. The n numbers are arranged such that there are an odd number of numbers between any two even numbers as well as between any two odd numbers. If the number of ways in which this can be done is 72, then find the value of n?

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Bhargava Vadlamani replied | 2 days ago

n = 17.
This is quite tricky.
1 to n natural numbers can be even number of numbers or odd number of numbers.
ex - 1 2 3 4 5 or 1 2 3 4 5 6 so here n could be 5 or 6. We don't know hence we consider both the cases.
n ---> even . Then there will be n/2 even and n/2 odd numbers in list of n numbers.
Now we need observe that when we try to arrange odd number of numbers...  more»
n = 17.
This is quite tricky.
1 to n natural numbers can be even number of numbers or odd number of numbers.
ex - 1 2 3 4 5 or 1 2 3 4 5 6 so here n could be 5 or 6. We don't know hence we consider both the cases.
n ---> even . Then there will be n/2 even and n/2 odd numbers in list of n numbers.
Now we need observe that when we try to arrange odd number of numbers in between two even or odd numbers we end up having consecutive even and odd number always.
So, number of ways will be n/2! * n/2! .Now lets try to equate it to 72. We get nothing as n/2! * n/2! is a perfect square and 72 is not.
n -- > odd. Then we will have (n+1)/2 odd numbers and (n-1)/2 even numbers in the list of n numbers.
we apply the same logic here too:-
(n-1)/2 ! * (n+1)/2 ! = 72
(n^2 - 1)/4 = 72 ---- > n = 17.
Hence there are 17 numbers 1 2 3 .... 17.
Let me know if you need more explanation. «less

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Mukesh 4 days ago in  CAT Coaching classes

Shyam went from Delhi to Simla via Chandigarh by car. The distance from Delhi to Chandigarh is 3/4 times the distance from Chandigarh to Simla. The average speed from Delhi to Chandigarh was half as much again as that from Chandigarh to Simla. If the average speed for the entire journey was 49 kmph, what was the average speed from Chandigarh to Simla?  more»
Shyam went from Delhi to Simla via Chandigarh by car. The distance from Delhi to Chandigarh is 3/4 times the distance from Chandigarh to Simla. The average speed from Delhi to Chandigarh was half as much again as that from Chandigarh to Simla. If the average speed for the entire journey was 49 kmph, what was the average speed from Chandigarh to Simla? «less

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Kiran replied | 2 days ago

Delhi ---------------- Chandigarh ---------------- shimla

Distance 3x/4 km x km

Speed 3y/2 kmph y kmph

Time (3x/4)/(3y/2) hrs = 3x/2y hrs x/y hrs

average...  more»
Delhi ---------------- Chandigarh ---------------- shimla

Distance 3x/4 km x km

Speed 3y/2 kmph y kmph

Time (3x/4)/(3y/2) hrs = 3x/2y hrs x/y hrs

average speed = (total distance)/(total time)

49 = (x + 3x/4)/(x/2y + x/y) = (7x/4)/(3x/2y) = 7y/6

49 = 7y/6 --- y = 42 kmph --- (ANS) «less

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A

Aakanksha 4 days ago in  CAT Coaching classes

A man buys spirit at Rs. 60 per litre, adds water to it and then sells it at Rs. 75 per litre. What is the ratio of spirit to water if his profit in the deal is 37.5%?

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Bhargava Vadlamani replied | 2 days ago

10:1 Explanation is in the image

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Shishir 4 days ago in  CAT Coaching classes

The winning relay team in a high school sports competition clocked 4-8 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 15 kmph, 16 kmph, 17 kmph and 18 kmph respectively. What is the ratio of the time taken by B to that taken by D?

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Sourav replied | 3 days ago

c) Since it is a relay race, all the runners ran the same distance. Hence for a same distance, (ratio of times) = 1/(ratio of speeds). Hence ratio of times taken by B t& D = 18 : 16 = 9 : 8.

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Gaurav 4 days ago in  CAT Coaching classes

There are three cities A, B and C, not on the same straight road. Two buses P and Q start simultaneously from A and B respectively towards C. By the time Q reaches C, P is exactly halfway to C. Immediately after Q reaches C, it starts travelling towards A and it crosses P at a point 165 km from A. The ratio of the speeds of P and Q is 3 : 5. Assume...  more»
There are three cities A, B and C, not on the same straight road. Two buses P and Q start simultaneously from A and B respectively towards C. By the time Q reaches C, P is exactly halfway to C. Immediately after Q reaches C, it starts travelling towards A and it crosses P at a point 165 km from A. The ratio of the speeds of P and Q is 3 : 5. Assume that the roads joining A to C, B to C and B to A are all straight roads. If B is twice as far as from A as it is from C and P would take to cover the distance from A to B, how much time would Q take to cover the distance from C to A? «less

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Nandini 4 days ago in  CAT Coaching classes

What is the eligibility criteria for appearing CAT exam?

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Kiran 4 days ago in  CAT Coaching classes

Fill in the blank: _____ the more they remain the same.

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Rajdeep 4 days ago in  CAT Coaching classes

Fill in the blank: When we call others dogmatic, what we really object to is_____?

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Pradeep 03 Oct in  CAT Coaching classes

How can I get personal tutor for preparation of CAT 2016. I stay at Powai. I am B.E. Electronics from Mumbai University 2016 batch with 7.77 CGPI. I got 92.8 % in SSC and 90.5 % in HSSC. I have already joined TIME classes at Powai.

I am looking for a tutor who will guide me for entrance examinations of MBA 2017-19

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Rajamani replied | 13 Oct

There are many online one to one tutors like me are available. Pl. check with Urbanpro for such tutors and contact them for private one to one on line tutoring. That would be more effective. May cost bit more but worth it. All the very best.

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Vinay replied | 20 Oct

I provide online lectures at a very reasonable cost compared to market. Contact me if interested

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Anshuman replied | 03 Aug

R.S.Agarwall.Arun Sharma

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Krishna replied | 03 Aug

Start with Class X NCERT Maths Book

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Neha 10 Jul in  CAT Coaching classes

best cat coaching institute in delhi?

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Konika replied | 24 Jul

Career Launcher/IMS are by far the best in terms of course material and mock tests, their scores are close to the real CAT. For actual classes however I would recommend taking a demo at a few institutes and then deciding as the classroom quality varies greatly, it is not dependent on the institute but on the experienced faculty being available at a particular location so due to...  more»
Career Launcher/IMS are by far the best in terms of course material and mock tests, their scores are close to the real CAT. For actual classes however I would recommend taking a demo at a few institutes and then deciding as the classroom quality varies greatly, it is not dependent on the institute but on the experienced faculty being available at a particular location so due to that class quality is different even for the same institute at different locations. This is why recommend going for Online Classes as location is not a barrier between quality faculty and students who need that help. For any further doubts feel free to contact me. «less

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Sourav replied | 02 Aug

I would say I haven't done any til now all self study with Gus books wil make I crack any exam as joining any centre will kill your lot of time

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Vikna 21 Jun in  CAT Coaching classes

What are top CAT coaching centres in India?

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Elnaz 01 Jun in  CAT Coaching classes

 I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last? 

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Sudheer replied | 30 Sep

3 Hours

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Bhargava Vadlamani replied | 2 days ago

40*t + 60*(5-t) = 240.
t = 3 hr.

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Gowre 01 Jun in  CAT Coaching classes

The speed of a motor boat itself is 20 km/h and the rate of flow of the river is 4 km/h. Moving with the stream the boat went 120 km. What distance will the boat cover during the same time going against the stream? 

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Sudheer replied | 30 Sep

80 KM

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Bhargava Vadlamani replied | 2 days ago

(20 + 4)*t = 120
t = 5 hr.
Now against stream:-
(20 - 4)*5 = 80 km -- (ans)

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Yash 01 Jun in  CAT Coaching classes

Working together, A and B can do a job in 6 days. B and C can do the same job in 10 days, while C and A can do it in 7.5 days. How long will it take if all A, B and C work together to complete the job?

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Nitin replied | 11 Oct

Let total work be 900 units .
A + B = 900/6 = 150 unit/day (This is the speed or efficiency of working of A & B together)
Similarly , B+C = 90
C + A = 120
adding all three , 2A + 2B + 2C = 360
A + B + C = 180
so A,B & C can do the same job in 900/180 = 5 Days

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Shabana 01 Jun in  CAT Coaching classes

By walking at 3/4th of his usual speed, a man reaches office 20 minutes later than usual. What is his usual time?

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Kiran 01 Jun in  CAT Coaching classes

 A passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.

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Hema 01 Jun in  CAT Coaching classes

 A man and a woman 81 miles apart from each other, start travelling towrds each other at the same time. If the man covers 5 miles per hour to the women's 4 miles per hour, how far will the woman have travelled when they meet?

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Ann 01 Jun in  CAT Coaching classes

A plane flying north at 500 kmph passes over a city at 12 noon. A plane flying east at the same attitude passes over the same city at 12.30 pm. The plane is flying east at 400 kmph. To the nearest hundred km, how far apart are the two planes at 2 pm?

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Princy 01 Jun in  CAT Coaching classes

Ram completes 60% of a task in 15 days and then takes the help of Rahim and Rachel. Rahim is 50% as efficient as Ram is and Rachel is 50% as efficient as Rahim is. In how many more days will they complete the work?

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Khushbu 01 Jun in  CAT Coaching classes

 A tank is fitted with 8 pipes, some of which that fill the tank and others that empty the tank. Each of the pipes that fills the tank fills it in 8 hours, while each of those that empty the tank empties it in 6 hours. If all the pipes are kept open when the tank is full, it will take 6 hours to drain the tank. How many of these are fill pipes?

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Aksabanu 01 Jun in  CAT Coaching classes

Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How long will a woman take to do the job, if she works alone on it? 

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Hari 01 Jun in  CAT Coaching classes

 Shyam can do a job in 20 days, Ram in 30 days and Singhal in 60 days. If Shyam is helped by Ram and Singhal every 3rd day, how long will it take for them to complete the job? 

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Aamir 01 Jun in  CAT Coaching classes

Pipe A usually fills a tank in 2 hours. On account of a leak at the bottom of the tank, it takes pipe A 30 more minutes to fill the tank. How long will the leak take to empty a full tank if pipe A is shut?

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Vikram 01 Jun in  CAT Coaching classes

A, B and C can do a work in 5 days, 10 days and 15 days respectively. They started together to do the work but after 2 days A and B left. C did the remaining work (in days).

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