Official Quant thread for CAT 2013

ananya prepared 7 different letters to be sent to 7 different addresses. For each letter, she prepared an envelope with its correct address. If the 7 letters are to be put into the 7 envelopes at random, what is the probability that only 4 letters will be put into the envelope with its correct address?

When 3 dice are rolled together,what is the probability that exactly 2 dice show prime nos,

options 1/4,3/8,2/3,1/3.....

A five digit number is formed using the digits 0,2,3,4,5 nd 7 with no digit repeating.The probability that the number is divisible by 12

formula for calculating the number of triangles possible from n vertices of a polygon if none of the polygon sides are included in these triangle

A coach has to form a team of 8 students from 3 distinct groups having 6,4,3 students respectively.

find no of ways. (he has to select minimum 2 students from each distinct group)



the solution is below.

why can't i select minimum two from each and then select the rest two from the leftover 7 kids. (5670)



A survey of 200 people in a community who watched at least one of the three channels; BBC, CNN and DD showed that 80% of the people watched DD, 22% watched BBC and 15% watched CNN.What is the maximum percentage of people who can watch all the three channels?

1. 12.5%

2. 15%

3. 8.5%

4. Data insufficient

5. None of these

Dey have to watch atleast one but dat can be included in all three and two of the three like cnn and dd

sum of first two significant digits in 6^-60...?

last digit of 62^43^54^65^76^87

N=99^3-36^3-63^3 .. how many factors thus N have ??

Find the highest power of 2 in 1!+ 2! +3!---------------600!

How=w to convert 4^32^32 into 4^3n+x ... ?? any way so that it can be expressed as this

Let Na = {an : n ∈ N}, then N6 ∩ N8 is equal to

1. N2

2. N48

3. N8

4. N24

5. N14

In group of 50 persons, everyone takes either tea or coffee. If 35 take tea and 25 take coffee, then the number of persons who take tea only (and not coffee) is

1. 10

2. 25

3. 35

4. 15

5. None of these

If X = {8^n – 7n – 1 |n ∈ N} and Y = {49 (n – 1) | n ∈ N}, then

1. X ⊂ Y

2. Y ⊂ X

3. X = Y

4. X ≠ Y

5. None of these

@Mary321

For how many natural numbers less than 105 is the sum of their digits equal to 10?



Please comment and tell me the solution



1) 1001



2) 996



3) 882



4) 256 Skip



It is 10^5 not 105.

In a class of 33 students, 20 play cricket, 25 football, & 18 volleyball, 15 play both cricket & football, 12 football & volleyball, 10 cricket & volleyball. If each student plays at least one game, find the number of students who play only cricket?

1. 5

2. 7

3. 2

4. 3

5. 4

In a class of 33 students, 20 play cricket, 25 football, & 18 volleyball, 15 play both cricket & football, 12 football & volleyball, 10 cricket & volleyball. If each student plays at least one game, find the number of students who play only cricket?

1. 5

2. 7

3. 2

4. 3

5. 4

Seeing the amount of weightage being assigned to 10th ,12th and undergrad scores by the IIMs ,I think very soon CAT exam will be replaced by something else because is exam ki importance toh ghatti hi ja rahi hain 😛 😛

In a survey of political preference, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% favoured all the three proposals, what % of those asked favoured more than one of the three proposals?

1. 10

2. 12

3. 24

4. 22

5. 17