Official Quant thread for CAT 2013

4 distinct coins placed into one or more of 5 different boxes randomly. what is the probability that exactly 3 boxes have atleast 1 coin???
(1)3/25
(2)16/25
(3)72/125
(4)none of these

ans: 72/125

kindly share your approach

How many times the digit 0 will appear from 1 to 10000

The sides of triangle ABC are a cm, b cm and c cm. The sides of triangle DEF are d cm, e cm and f cm. And

a (a + b + c) = d^2 ; b (a + b + c) = e^2 ; c (a + b + c) = f^2

Then triangle DEF is

a) acute angled b) obtuse angled c) right angled d) Isosceles



There is a seller of cigerette and match boxes who sits in the narrow lanes of cochin. He prices the cigerattes at 85 p, but found that there are no takers. So he reduced the price of cigarette and managed to sell all the cigerattes, realising Rs. 77.28 in all. What is the number of cigerattes?

a) 49 b) 81 c) 84 d) 92

€‹

Between 1 to 1000 how many pair possible

such that they r in AP ?


@SatadeepBiswas

if 5 X 6 = 33

what is the value of 100 in that system..?

In any number system 121 is a perfect square
true

or

false..?

find the number of zeroes in 1^1* 2^2* 3^3* 4^4.............. 98^98* 99^99* 100^100

solve this

What is the reminder when 9^1 + 9^2 + 9^3 + ...... + 9^9 is divided by 6

(1) 0

(2) 3

(3) 4

(4) None of these

Three out of the five integers p, q, r, s and t are negative. One of the integers is positive and one is zero. Some additional information is given below. I.pr>qs II.p=0.3q III.t is greater than q but less than p.

The negative integers are ?

What is the value of 1*1! + 2*2! + 3!*3! + ............ n*n!, where n! means n factorial or n(n-1)(n-2)...1

(1) n(n-1)(n-1)!

(2) (n+1)!/(n(n-1))

(3) (n+1)! - n!

(4) (n + 1)! - 1!

how is 20! mod 23 = 23-1/2? plz explain. is this some direct result?

Can anyone explain the approach for the following…?


If n! ends with 29 zeros and n is an even natural number, then how many values of n are possible?

  • 1
  • 4
  • Cannot be determined
  • 3
  • 2

0 voters

remainder when
( ( [12!])^(14!) + 1 ) / 13

If 4 men or 6 women can do a piece of work in 12 days working 7 hours a day; how many days will it take to complete a work twice as large with 10 men and 3 women working together 8 hours a day ?

A mixture contains alcohol and water in the ration 4:3. If 5 liters of water is added to the mixture, the ration becomes 4:5. The quantity of alcohol in the given mixture is ???

4 men or 8 women or 12 boys can do a certain work in 98 days. How many days will 3 men 5 women and 8 boys together take to do the work ?


40
44
46
NOT

find the maximum value of 4(a^2) + 9(b^2)+ 16(c^2) subject to 2a+3b+4c=15 where a,b,c are all real numbers

100
infinity
75
500


In how many ways 2 particular boys can sit next to each other in a circular arrangement of 7 boys?