Official Quant thread for CAT 2013

A certain sum becomes 7/3 times itself in ten years under simple interest. Find the rate of interest?


7.5 % p.a
13 1/3 % p.a
20 % p.a
10 % p.a

A sum of money quadraples at a certain rate of compound interest in 6 years. In how many years will it become 16 times itself


10
18
12
24

Two concentric circles such that area if outer circle is 4 Times inner. A,B,C are distinct points in outer circles st AB and AC are tangents to inner circle.area of triangle ABC Is 9rt3/pi. What is area outer circle??

(imp)

A sum of Rs 13000 is divided into three parts such that the simple interest accrued on them for two years, three years and four years respectively may be equal. Find the smallest part if the rate of interest is 8% in all the cases


3600
2400
3000
4500

Find the possible values of (a,b)... 3a^2 + ab + 8a - 4b = 11

@vaibhavmahe

Two concentric circles such that area if outer circle is 4 Times inner. A,B,C are distinct points in outer circles st AB and AC are tangents to inner circle.area of triangle ABC Is 9rt3/pi. What is area outer circle??



(imp)

@vaibhavmahe see attached

A man borrows a sum of Rs 50000 for two years at 20% p.a compound interest, interest being compounded annually. If he repays Rs 24000 at the end of the second year and clears the debt how much did he pay at the end of the first year

30000
32000
40000
37500

one of the correct values are

1.2x^2

2.2 rt (x^2-y^2)

3.2 rt(x^2+y^2)

4.2x

A person takes a loan of Rs 9000 at a certain rate of CI He repays Rs 6000 at the end of first year and 5760 at the end of second year and clears the debt. If the rate of interest is the same for both the years then find the rate of of interest given that interest is compounded annually


10%
15%
16%
20%

Sarathi borrows a sum of Rs 36000 at 15% p.a interest compounded annually at the end of the first and the second years he repays Rs 18000 each? What is the amount he has to repay at the end of third year to clear the debt?


10246.50
8910
16200
NIl

What are the last two digits of 1245678905671^123859666666

x1x2x3=420 integral solutions

case 1: solution repeating

case 2: nonrepeating sol

Find the ratio of time periods for a certain sum to become 20 times itself in the case when interest is being compounded every moment to that when interest is calculated at SI of 1% per annum


1:1
1:20
3:190
3:19

What is the smallest number with which 200! should be multiplied to make it divisible by 12^100


27
728
144
216

Find the number of ways in which 7800 can be written as a product of two coprimes?

A cuboid has a volume of 64 cubic units find the minimum possible values of the sum of the lengths of the edges of the cuboid?


36
40
72
64
48

what is remainder when 10+10^2+10^3+......10^100 is divided by 7 ?????😠😠😠😠

|a| +|b| +|c| = 15 ......?

Have heard about such questions and hence dont know the answer as its not from a specific paper?

Need approach more than the answer......




Hey Guys...please help me in solving question like this:


What is unit digit in the following

36472^123!
please share the solution...
Your reply will be a great help.....

Among 100 natural number how many number can be expressed as a sum of two or more consecutive odd numbers?