Official Quant thread for CAT 2013

Puys , if i say remainder of 123123....(300 digits) divided by 37, here if i proceed like
123123....(300 gigits)/ 999

999-> multiple of 37 ,

then i get 12300/999 = 312

so remainder = 312/37.. Here why we get same remainder after converting it to 999?? Some theorem >>???


A leaves mumbai at 6 am. and reaches bangalore at 10 am. B starts from bangalore at 8 am. and reaches mumbai 11:30 am. Assuming shortest possible path between the two cities find the time at which they will cross each other ?

Juice and water vessels M and N are in the ratio 3:4 and 1:4 respectively. In wat ratio the liquids in both the vessels should be mixed to obtain a NEW MIXTURE in vessels P containing Juice and water in the ratio of 3:7 respectively.1. 4:7
2. 7:9
3. 9:13
4. 5:7
5. 9:11

if x*y=6.25

then, x+y could be :
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0 voters

The remainder when 100*(99^10) is divided by (100*99) + 1 is

Please solve

|x|+|y|

how many integral solution exists?

ANS 41
please explain

how many pairs of positive integers m,n satisfy .. 1/m+1/n=1/12, where n is an odd integer less than 60

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  • 7
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0 voters

81^82/17?

explain the method

HCF of 2721 and 3081??

A number of the form ababac is divided by 37. The remainder can be -

OPTIONS

1)7

2)13

3)19

4)23


Can anyone telme the correct ans and approach for this Q??


Need to find remainder for: 2^69/9.

Why does the remainder as per "Pattern Method" and "Remainder Theorem" give different results? Which 1 is preferable?

1001 when divided by n, remainder is r (n is a positive integer and r is a non-negetive integer). How many different values r can take ?

how to solve 1!+2!+3!+......+50! pls tell me the approach??


1)How many numbers less than 1000 can be expressed as difference of squares of whole numbers in atleast 1 way.

2)How many numbers less than 100 can be expressed as difference of squares of natural numbers in only 1 way.


Plz share the approach

Hi Puys....Is there any way to find other angels in triangle abc except 90 vala angel ... say dim 5,12,13???

The digits of a 3-digit number in Base 4 get reversed when it is converted into Base 3. How many such numbers exist?

guys i enrolled for simcat proctored yesterday. how much time does it take getting my account?

let S1=[a,b,c] S2=[1,2,3]

how many relations are possible ?

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  • none
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0 voters

how to solve

Find the remainder when 55^190 is divided by 153?

OA:120