Official Quant thread for CAT 2013

The figure represents five concentric quarter-circles. The length of the radius of the largest quarter-circle is x.

The length of the radius of each successively smaller quarter-circle is one less than that of the next larger quarter-circle. What is the combined area of the shaded regions (red), in terms of x?

Questions

In the diagram (not drawn to scale), Sector PQ is a quarter-circle. The distance from A to P is half the distance from P to B. The distance from C to Q is 2/7 of the distance from Q to B. If the length of AC is 100, what is the length of the radius of the circle with center B?


A triangle is divided into four partsby two straight lines from two corners. the areas of three parts are 8 , 5 , 10..find the area of fourth part?

Four numbers x1

1. 8

2. 10

3. 12

4. 14

5. 16

please share your approach to solve these type of q


for a sum of RS 5000, what will be the difference of interest if compounded annually and if compounded half yearly.

if r = 10%how to calculate (1+ 10/100)^2 - (1+ 5/100)^4 ???

in many CI problems I find a figure like this. 10000(1+ 11/100)^3


what the shortcut to solve these???


the distance s(km) travelled by a car after time t(hr) is given by s= 5t+9t square-t cube. Find the distance travelled by this car till the s point when it is travelling at its maximum speed.
A) 69km
B) 138km
C) 35km
D) 83km
E) none of these

(x^2 - 7|x| + 10) / (x^2 - 6x + 9)
Solve for x.


From Arun Sharma.

Question from Number systems

I understand that all the numbers from 1 to n-1 can be considered as being in base 'n' ( because 1 is 1 in base 2 or n, etc.) and I also understand that we can consider it to be a sum of n-1 consecutive numbers but why in base 10? I am clearly missing something very obvious. Enlighten me, puys!

Amit has 196 one rupee coins. He has to put them into "x" number of bags such that any amount of money from Rs. 1 to Rs. 196 can be given by handing out certain number of bags without opening them. What is the minimum value of "x" ? Plz share approach also.

  • 9
  • None of these
  • 11
  • 10

0 voters

Bhaskar found the average of the squares of the first 'n' natural numbers. Krishna multiplied all the first 'n' natural numbers with 5 and found the average. If Bhaskar's result is more than that of Krishna, what is the minimum possible value for n?

1. 5

2. 6

3. 7

4. 8

5. 10

The average weight of 5 boys is 50 kg. If 3 more boys, whose average weight is equal to the weight of the heaviest among the first five boys, join the group, the overall average increases by 3. How much does the heaviest boy among the first five weigh?

1. 52 kg

2. 54 kg

3. 56 kg

4. 58 kg

5. 60 kg

A student is asked to find the average of two numbers. He squares one number, takes the positive square root of the other and finds the average. If the actual answer is 'x' and the student's result is 'y', then

1. x = y

2. x > y

3. x

4. x y

5. Cannot be determined

Let ab and ba be two-digit numbers where a and b are distinct digits from 0 to 9. Difference of ab and ba is HCF of ab and ba. What is the value of a + b?

If the average of 8 consecutive numbers starting from N1 is twice that of the average of 8 consecutive numbers starting from N2, then N1 – N2 is

1. 4

2. 8

3. 16

4. 36

5. Cannot be determined

Two small squares are chosen at random from the squares drawn on a chessboard. What is the chance that the two squares chosen have exactly one corner in common?

0.052
0.042
0.048
0.056
0.064

At his usual rowing rate, Rahul can travel 12 miles downstream in a certain river in 6 hr less than it takes him to travel the same distance upstream. But if he doubles his usual rowing rate for 24 miles round trip, the downstream 12 miles would then take only 1 hr less than the upstream 12 miles. What is the speed of the current in miles per hour?

function f is defined over real nos .f(x^2+f(y))=y+(f(x))^2

find f(5)
i)1
ii)0
iii)5
iv)10

Please solve this question from remainder theorem

mgmgmg

koi remainder theorem samjha sakta hai kya???????????

@mp16

koi remainder theorem samjha sakta hai kya???????????



plz help