Official Quant thread for CAT 2013

HI ,


How to find remainder for the following :
10! / 11
45! / 47
45! / 46

Is thr a common method here ???

when a certain number is divided by 6,7,8,9,10 leaves remainder 4,5,6,7,8. when the same number is divided by 54 it gives remainder 34. find the value of mod(x-y)?

where x= smallest such 5 digit number
y= largest such 6 digit number
  • 982800
  • 504000
  • 987056
  • 987842

0 voters

An urn contains 3red, 6blue, 2green, 4yellow

if four marbles are picked at random,what is the probability tht atleast one is yellow



Solution with Explanation???

An urn contains 3red, 6blue, 2green, 4yellow

if two marbles are picked at random what is the probability that either both are red or both are green???



Solution with Explanation???


An urn contains 3red, 6blue, 2green, 4yellow

If two marbles are picked at random, what is the probabilty tht one is green, two are blue and one is red???



Solution with Explanation???

how many 5 digit numbers contain exactly two 7's in them?

In a company all people hold shares of atleast 1 of the 3 companies x,y and z. 500 hold share of company x, 600 hold share of company y and 800 hold share of company z. 300 hold share of company x and y, 250 hold share of company y and z, 200 hold share of company x and z. which is true

1. Difference between maximum n minimum number of people in the community is 20.
2. Difference between maximum n minimum number of people who hold the share in exactly 2 of the 3 companies is 600.
3. Difference between maximum n minimum number of people who hold the share in exactly 1 of the 3 companies is 600.
  • Both 1 and 2.
  • Both 1 and 3.
  • All 1,2 and 3
  • Only 1
  • Either 1 or 2

0 voters

In how many ways we can distribute 5 distinct ball into 3 identical boxes ?

Please provide with explanation

If 5 letters are placed in 5 addressed envelopes, the number of ways of placing exactly 3 letters in the wrong envelopes are:

Share your approach too !




@anytomdickandhary

Paulson spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. Find the percentage increase in his savings.

Plz expln the solution.......

How many kg of pure salt must be added to 30kg of 2% solution of salt and water to increase it to a 10% solution??????????? expln d solutn

Due to a reduction of 25/4% in the price of a sugar, a man is able to buy 1 kg more for rs 120. Find the original and reduced rate of sugar?


AB = 9C + 1
A,B,C > natural number
100
how many different values A can take ?

a - 101
b - 50
c - 11
d - NOT

OA is not available :(

In how many ways can the letter of the word EDUCATION be arranged so that the relative position of the vowels and consonant remain the same as in the word EDUCATION ?

Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

A. 144

B. 12

C. 24

D. 64

E. 124

x y^2 z^3 = 2^12 3^2. find the minimum value of 3x+2y+z?


I don't know the answer..plz post the approach..
  • 10
  • 24
  • 12
  • 18

0 voters

f(x)= max((x)^2-4,x,-1) then min value of f(x)


plz post solution

the no. of distinct quad eqns of type ax^2+bx+c=0 that can be formed when a,b,c are selected from {1,2,3,4,5,6} ?

A fair coin flipped 1000 times. What is the probability that number of heads exceeds the number of tails?

I dont have the answer to this question. plzz also post the approach . Help.

How many 4 digit numbers divisible by 5 can be formed with digits 0,1,2,3,4,5,6 and 6?