divyathilak

@divyathilak

Congratulations Mr/Ms. Divya T !! We have selected you for admission into the Class of 2010-12 of our MBA Programme at IIT Madras. This offer of admission is provisional and subject to your fulfillment of admissions criteria and conditions that will be specified in our formal offer letter, w...
Congratulations Mr/Ms. Divya T !!

We have selected you for admission into the Class of 2010-12 of our MBA Programme at IIT Madras. This offer of admission is provisional and subject to your fulfillment of admissions criteria and conditions that will be specified in our formal offer letter, which will be sent by surface mail to you during the next fortnight. Wish you Good Luck

Admissions Co-ordinator
DoMS, IIT Madras
Solve 1\. How many numbers less than 500 will have a digit sum equal to 5 ? 1\. 39 2\. 72 3\. 55 4\. 81 2\. The infinite sum 1 + 3/4 + 5/16 + 7/64 ...... equals 1.5/3 2.2 3.20/9 4.26/9 3\. If a^2, b^2, c^2 are in AP, then b+c, c+a, a+b are in ? 1\. AP ...
Solve

1. How many numbers less than 500 will have a digit sum equal to 5 ?

1. 39
2. 72
3. 55
4. 81

2. The infinite sum 1 + 3/4 + 5/16 + 7/64 ...... equals

1.5/3
2.2
3.20/9
4.26/9

3. If a^2, b^2, c^2 are in AP, then b+c, c+a, a+b are in ?

1. AP
2. GP
3. HP
4. None of these

4. If a - b/2 , b/2 , c -b/2 are in GP , then a,b,c are in

1. GP
2. AP
3. HP
4. None of these

5. Find the sum of the first 24 terms of an AP a1,a2,a3,...., if it is known that
a1+a5+a10+a15+a20+a24 = 225

1. 900
2. 450
3. 6000
4. None of these

6. The sum of all the products of the first n positive integers taken two at a time is ?

1. 1/48(n-2)(n-1) n^2
2. 1/6 n (n+1)(n+2)(n+5)
3. 1/24(n-1)n (n+1)(3n+2)
4. 1/8(n+1)(n+2)

7.In a certain colony of rabbits, each rabbit gives to four new rabbits every year. How many new rabbits will be born form a single productive rabbit if this reproduction rate continues for 10 years and it is know that only 75% of the new rabbits are capable enough to produce the next generation of rabbits ?

1. 3^10 -1
2. 3^11 -1
3. 2(3^10 -1)
4. 2(3^9 -1)

Please provide explanations for the answers...
Thanks in Advance!
> We can first distribute 1 ball to one group and then distribute 13 other to two groups So 11|12 1211 ............ 167 So 6 ways Now assign 2 balls to 1st grp and proceed 2210 239 248 257 2|66 So 5 ways Then; 33|8 347 356 3 ways ...
We can first distribute 1 ball to one group and then distribute 13 other to two groups

So

11|12
1211

............
167

So 6 ways
Now assign 2 balls to 1st grp and proceed

2210
239
248
257
2|66

So 5 ways

Then;

33|8
347
356

3 ways

446
4|55

2 ways



in all...6+5+3+2 = 16 ways

see 14 balls have 13 gaps between them
we just need to find 2 gaps in this 13 gaps to divide 14 balls into 3 groups
so ans would be 13c2

Correction : ok its identical so 13c2 wont be the answer...we have to calculate manually all possibilities....i dont think there is any other way
my answer 16
1,1,12
1,2,11
1,3,10
1,4,9
1,5,8
1,6,7

2,2,10
2,3,9
2,4,8
2,5,7
2,6,6

3,3,8
3,4,7
3,5,6

4,4,6
4,5,5
correct me if I am missing something


yes its correct answer! thank u !
Can someone help me in solving this question. Find the number of ways in which 14 identical and indistinguishable balls can be divided into three groups? a)17 b)16 c)18 d)19 e)20
Can someone help me in solving this question.

Find the number of ways in which 14 identical and indistinguishable balls can be divided into three groups?

a)17 b)16 c)18 d)19 e)20
Hi! I am divya completed B.E ECE in 2008. Preparing for CAT!
Hi! I am divya completed B.E ECE in 2008. Preparing for CAT!