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Dhinesh 11 Jan in  CAT Coaching classes

How many bucks will it take for CAT coaching?

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Pradeep replied | 6 days ago

It takes Rs.1700 (General), Rs. 850 (SC/ST) for you to register for CAT Exam.If you are looking for a classroom coaching it varies from Rs. 20,000 to Rs. 35,000 depending upon the institute that you opt for coaching.

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The Prayas India replied | 6 days ago

For CAT+XAT+NMAT+CET Preparation.
Contact the Prayas India.
Fee: Rs. 37700.

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Akash 30/11/2016 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 | 02/12/2016

Correction:-
It is (n-1)/2 ! * (N+1)/2 !
So if n is 7 then answer is 144
If n is 5 then answer is 12.

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Vikram replied | 02/12/2016

It needs to be visualized first that there can be only 1 odd number between any two even numbers and vice versa
because if you place 3 odd numbers between 2 even numbers then some pair of even numbers will not have any odd numbers between them
lets assume a set of numbers
1, 2, 3, 4, 5, 6
2, 1 ,3 ,5 ,4 ,6 not satisfying the condition
thus...  more»
It needs to be visualized first that there can be only 1 odd number between any two even numbers and vice versa
because if you place 3 odd numbers between 2 even numbers then some pair of even numbers will not have any odd numbers between them
lets assume a set of numbers
1, 2, 3, 4, 5, 6
2, 1 ,3 ,5 ,4 ,6 not satisfying the condition
thus we have only 2 of types possibility that satisfies the given condition:
1 2 3 4 5 6
2 1 4 3 6 5
the two types of possibility happened because the number of odd and number of even numbers are same
but for a set of odd numbers there will be only one type of possibility i.e. starting with odd numbers.
e.g.:-
2 3 4 5 1 not satisfying the condition
1 2 3 4 5
Now coming to the question.
Lets suppose,
n is even and thus n = 2t+2 (where t is an integar with t>0)
thus t+1 even numbers and t+1 odd numbers
2*(t+1)! (t+1)! = 72
(t+1)! = 6
t = 2
n = 6.
Lets suppose
n is odd and thus n = 2t+1 (where t is an integar with t>0)
thus t even numbers and t+1 odd numbers
(2t+1)! (t)! = 72
for t=1 rhs =6
for t=2 rhs =240
thus the above equation will not be satisfied for any value of t.
Hence, n = 6 «less

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Nandini 30/11/2016 in  CAT Coaching classes

What is the eligibility criteria for appearing CAT exam?

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Venkatesh replied | 05/12/2016

Any undergraduate not just Engineering, like Bcom, Bsc, BA etc.

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Devendra replied | 11/12/2016

Minimum graduate degree - as CAT exam is for PG course. Also student in final year of their graduation can also write this exam.

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Dhanshri 30/11/2016 in  CAT Coaching classes

The total cost of 2 pencils, 5 erasers and 7 sharpeners is Rs.30, while 3 pencils and 5 sharpeners cost Rs.15 more than 6 erasers. By what amount (in Rs.) does the cost of 39 erasers and 1 sharpener exceed the cost of 6 pencils?

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Ice Gate replied | 19/12/2016

Theoretically, you need 3 equations to solve linear equations with 3 variables. In this question, you are given only two equations with three variables. That means this problem comes under special equations. Depending upon the nature of the equations you have to apply special technique to solve special equation. Here, I apply one such special technique:

3x+5y+7z=49 (1)
5x+8y+11z=78...  more»
Theoretically, you need 3 equations to solve linear equations with 3 variables. In this question, you are given only two equations with three variables. That means this problem comes under special equations. Depending upon the nature of the equations you have to apply special technique to solve special equation. Here, I apply one such special technique:

3x+5y+7z=49 (1)
5x+8y+11z=78 (2)
multiply the first equation with 3
9x+15y+21z=147 (3)
multiply the second equation with 2
10x+16x+22z=156
Now, subtract (3) from (2)
x+y+z=9 «less

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Sakthivel 30/11/2016 in  CAT Coaching classes

If the roots of the equation (x + 1) (x + 9) + 8 = 0 are a and b, then what are the roots of the equation (x + a) (x + b) - 8 = 0?

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Jayanta replied | 29/12/2016

9,1.

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Jayanta replied | 29/12/2016

9,1.

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Neeta 30/11/2016 in  CAT Coaching classes

What is the remainder when 7 power 100 is divided by 100?

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Ravi replied | 06/12/2016

01

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Sajini 30/11/2016 in  CAT Coaching classes

If N = 888 up to 100 digits, what is the remainder when N is divided by 625?

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Jayanta replied | 29/12/2016

138.

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Kumarpalaksha 30/11/2016 in  CAT Coaching classes

One man can do as much work in one day as a woman can do in 2 days A child does one-third the work in a day as a woman. If an estate-owner hires 39 pairs of hands, men, women and children in the ratio 6 : 5 :2 and pays them in all Rs 1113 at the end of the day s work. What must the daily wages of a child be, if the wages are proportional to the amount of work done?  more»
One man can do as much work in one day as a woman can do in 2 days A child does one-third the work in a day as a woman. If an estate-owner hires 39 pairs of hands, men, women and children in the ratio 6 : 5 :2 and pays them in all Rs 1113 at the end of the day’s work. What must the daily wages of a child be, if the wages are proportional to the amount of work done? «less

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Rajendra replied | 12/12/2016

Since the ratio of no of Men, Women, Children is 6:5:2 and the total no of workers hired is 39.
The no of men, women, children is 18,15, 6.
Since the ratio of work capacity for a man, woman, child is 6:3:1.
The total work done by the men, women, children is in the ratio 108:45:6 and hence the money i.e. Rs 1113 is divided among the men, women, children as Rs 756,315,...  more»
Since the ratio of no of Men, Women, Children is 6:5:2 and the total no of workers hired is 39.
The no of men, women, children is 18,15, 6.
Since the ratio of work capacity for a man, woman, child is 6:3:1.
The total work done by the men, women, children is in the ratio 108:45:6 and hence the money i.e. Rs 1113 is divided among the men, women, children as Rs 756,315, 42
Six children getting Rs 42 means the daily wage of a child is Rs.7. «less

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Karunanidhi 30/11/2016 in  CAT Coaching classes

A right circular cone of height h’ is cut by a plane parallel to the base and at a distance h/3 from the vertex, then what is ratio of volumes of the resulting cone and frustum?

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Ravi replied | 06/12/2016

19:27

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Arun 30/11/2016 in  CAT Coaching classes

If the harmonic mean between two positive numbers is to their geometric mean as 12 : 13, then what could be the ratio of the numbers?

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Yuvraj replied | 16/12/2016

4/9

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Ice Gate replied | 17/12/2016

4:9.

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A

Ashish 30/11/2016 in  CAT Coaching classes

A water tank has three taps A, B, and C. A fills four buckets in 24 mm, B fills 8 buckets in 1 hour and C fills 2 buckets in 20 minutes. If all the taps are opened together a full tank is emptied in 2 hours. If a bucket can hold 5 litres of water, what is the capacity of the tank?

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Yuvraj replied | 16/12/2016

240 Liters

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Ice Gate replied | 17/12/2016

Since a bucket holds 5 litres of water, Tap A discharges 20 litres of water in 24 minutes or 5/6 litres of water in 1 minute.
Tap B discharges 40 litres in 1 hours or 2/3 litres in 1 minute.
Tap C discharges 10 litres in 20 minutes or 1/2 litres in 1 minute.
If A, B & C are all opened simultaneously, total discharge = (5/6 + 2/3 + 1/2) = 2 litres in 1 minute.
So...  more»
Since a bucket holds 5 litres of water, Tap A discharges 20 litres of water in 24 minutes or 5/6 litres of water in 1 minute.
Tap B discharges 40 litres in 1 hours or 2/3 litres in 1 minute.
Tap C discharges 10 litres in 20 minutes or 1/2 litres in 1 minute.
If A, B & C are all opened simultaneously, total discharge = (5/6 + 2/3 + 1/2) = 2 litres in 1 minute.
So in 2 hours after all taps are opened, the discharge would be 240 litres, which should be the capacity of the tank. «less

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Mukesh 30/11/2016 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 | 01/12/2016

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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Suresh 30/11/2016 in  CAT Coaching classes

The fourth term of an arithmetic progression is 8. What is the sum of the first 7 terms of the arithmetic progression?

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Ravi replied | 06/12/2016

56

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Sai Kishore Babu replied | 13/12/2016

As they are in AP their average will be middle number, so sum = Average * no of numbers => 7*8 = 56.

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Aravind 30/11/2016 in  CAT Coaching classes

It takes a pendulum of a clock 7 seconds to strike 4 o’clock. How much time will it take to strike 11 o’clock?

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Yuvraj replied | 16/12/2016

19.25

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Ice Gate replied | 17/12/2016

The more relevant thing in this case is not the number of strikes but the number of time intervals.
If a clock has to strike 4, there are 3 time intervals between the 4 strikes So, in 7 seconds the pendulum elapses 3 time intervals.
To strike 11, there has to be 10 time intervals, which will take (10 x 7)/3 = 23.33 seconds.

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Nabodit 30/11/2016 in  CAT Coaching classes

What is the smallest number, which when increased by 5 is completely divisible by 8, 11 and 24?

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Rajendra replied | 12/12/2016

The answer is the LCM of 8,11 and 24 minus 5 = 264-5=259.

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Aakanksha 30/11/2016 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 | 01/12/2016

10:1 Explanation is in the image

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Kumarnaik 30/11/2016 in  CAT Coaching classes

Alphonso, on his deathbed, keeps half his property for his wife and divides the rest equally among his three sons Ben, Carl and Dave. Some years later Ben dies leaving half his property to his widow and half to his brothers Carl and Dave together, shared equally. When Carl makes his will he keeps half his property for his widow and the rest he bequeaths...  more»
Alphonso, on his deathbed, keeps half his property for his wife and divides the rest equally among his three sons Ben, Carl and Dave. Some years later Ben dies leaving half his property to his widow and half to his brothers Carl and Dave together, shared equally. When Carl makes his will he keeps half his property for his widow and the rest he bequeaths to his younger brother Dave. When Dave dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has Rs 1,575,000.
(i) What was the worth of the total property?
(ii) What was the ratio of the property owned by the widows of the three sons, in the end? «less

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Yuvraj replied | 16/12/2016

i) Rs. 2,400,000
ii) 4:5:7.5

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Bhupen 30/11/2016 in  CAT Coaching classes

log 216 6 to the base 6 is: ____?

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Ice Gate replied | 17/12/2016

3

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Raghav 30/11/2016 in  CAT Coaching classes

A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16, articles to a dozen to a particularly sticky bargainer. How much percent above the cost price were his wares listed?

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Ice Gate replied | 19/12/2016

Let the CP of the article be Rs. x, since he earns a profit of 20%, hence SP= X + 20% of X = 1.2x.
It is given that he incurs loss by selling 16 articles at the cost of 12 articles [loss = (16-12)/16 = 25%]
His selling price = SP - 25% of SP = SP*0.75;
Hence, SP*0.75 = 1.2X.
Or, SP = (1.2*x/0.75) = 1.6X.
This SP is arrived after giving a discount of 20% on MP.
Let...  more»
Let the CP of the article be Rs. x, since he earns a profit of 20%, hence SP= X + 20% of X = 1.2x.
It is given that he incurs loss by selling 16 articles at the cost of 12 articles [loss = (16-12)/16 = 25%]
His selling price = SP - 25% of SP = SP*0.75;
Hence, SP*0.75 = 1.2X.
Or, SP = (1.2*x/0.75) = 1.6X.
This SP is arrived after giving a discount of 20% on MP.
Let MP = Y.
Y - 20% of Y = SP
0.80Y = 1.6X.
Y = 2X.
It means that the article has been marked 100% above the cost price. Or Marked Price was twice of cost price. «less

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Abhijit replied | 21/12/2016

Assuming Selling price is P and Cost price is C.
The price charged for selling 16 item is equal to that of 12 items (as 16 articles are allowed for a dozen) = 12*P
There is cash discount of 20% thus net amount received by the buyer = 12*P*0.8
From cost point of view, 16 items are sold = Total Cost = 16*C
Even after giving discount and free items, the seller...  more»
Assuming Selling price is P and Cost price is C.
The price charged for selling 16 item is equal to that of 12 items (as 16 articles are allowed for a dozen) = 12*P
There is cash discount of 20% thus net amount received by the buyer = 12*P*0.8
From cost point of view, 16 items are sold = Total Cost = 16*C
Even after giving discount and free items, the seller is making 20% profit on total cost. Hence:
12*P*0.8 = 1.2*16*C
On solving you get P = 2*C
Thus cost (C) is double, or 100% above the selling price (P) «less

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Shishir 30/11/2016 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 | 01/12/2016

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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Keerthiga 30/11/2016 in  CAT Coaching classes

Three boys had a few Coffee Bite toffees with them. The number of toffees with the second were four more than those with the first and the number of toffees with the third were four more than those with the second. How many toffees were there in all?

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Yuvraj replied | 16/12/2016

3x+12

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Chandra 30/11/2016 in  CAT Coaching classes

Find the odd word out from each of the following sets of four words: Break, Hiatus, Pause, End?

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Yuvraj replied | 16/12/2016

End

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Poulomi 30/11/2016 in  CAT Coaching classes

Fill the blank: DOUBT:FAITH :: UNITY:______?

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Yuvraj replied | 16/12/2016

Diversity.

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Sanisundra 30/11/2016 in  CAT Coaching classes

Fill in the blank: BIGOT:PREJUDICE :: ANTERIOR: ________ ?

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Antriksh replied | 17/12/2016

PRECEDENT

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Kiran 30/11/2016 in  CAT Coaching classes

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

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Velmurugan replied | 03/12/2016

Exert

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Konika replied | 07/12/2016

the more things change.

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