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Probalility

The governor has decided to pardon one of the three prisoners (A, B, C) who are on death row and informs the prison warden about his decision. Prisoner A asks the warden which prisoner will be pardoned and the warden informs him that B is to be executed. What is the updated probability of A being pa...

by Anindya Madhudor

Sun Sep 08, 2013 7:32 am
Forum: Problem Solving
Topic: Probalility
Replies: 2
Views: 1107

In 4 days, A completes 4/24 part of the whole work. Remaining work is 20/24 after 4 days. When B joins after 4 days, A and B together do (1/24 + 1/32)*4 = 7/24. So remaining work after 8 days is (20/24 -7/24) =13/24. When C joins after another 4 days, A, B and C can do (1/24 + 1/32+ 1/48) = 3/32 in ...

by Anindya Madhudor

Sat Sep 07, 2013 8:32 am
Forum: Problem Solving
Topic: A, B and C working alone can complete a work in 24
Replies: 4
Views: 1818

Combination problem

If n balls are placed at random into n cells, find the probability that exactly one cell remains empty.

A. n/2n!
B. n!/n^n
C. (2n)!/n^n
D. (nC2)* n!/n^n
E. (nC2)* (2n)!/n^n

OA: D

by Anindya Madhudor

Sat Sep 07, 2013 7:46 am
Forum: Problem Solving
Topic: Combination problem
Replies: 3
Views: 2495

legislature seems to talk at great length

The legislature seems to talk at great length about reform but to do almost nothing to achieve that. (A) to do almost nothing to achieve that (B) to do almost nothing achieving such (C) to do almost nothing to achieve it (D) doing almost nothing in achieving any (E) doing almost nothing to achieve t...

by Anindya Madhudor

Wed Dec 19, 2012 7:39 am
Forum: Sentence Correction
Topic: legislature seems to talk at great length
Replies: 7
Views: 1599

Statement I:

Possible solutions are a= b or a=-b. So, ab= a^2 or (-a^2). We cannot definitely answer the question. Not sufficient.

Statement II:

a^3 = b^3 means a=b. So, ab=a^2. Sufficient.

by Anindya Madhudor

Tue Dec 18, 2012 10:41 pm
Forum: Data Sufficiency
Topic: Does ab = a^2
Replies: 2
Views: 1023

grammatical rule

Can someone please explain the grammatical rule in solving the following question. The guiding principles of the tax plan released by the Treasury department could have even a greater significance for the economy than the particulars of the plan. a. even a greater significance for the economy than b...

by Anindya Madhudor

Tue Dec 18, 2012 10:30 pm
Forum: Sentence Correction
Topic: grammatical rule
Replies: 3
Views: 1668

Statement I:

If R>4, e.g., 5 or 6, S <0 to satisfy the equation R + S =4. This is true for all values of R>4. So, sufficient.

Statement II:

S could be -3 or 3. We cannot definitely answer whether S<0 or not. Not sufficient.

by Anindya Madhudor

Tue Dec 18, 2012 10:16 am
Forum: Data Sufficiency
Topic: Inequality DS.
Replies: 3
Views: 906

You need to find the pattern in the exponential. When the last digit of any number is 3, you have the pattern 3, 9, 7, 1 for powers of 1, 2 ,3,4. This pattern repeats. So, it will be same for powers of 5, 6, 7, 9. You divide the power by 4 and find the remainder. 43 divided by 4 leaves 3 as remainde...

by Anindya Madhudor

Tue Dec 18, 2012 7:45 am
Forum: Problem Solving
Topic: unit digit problem
Replies: 3
Views: 1224

Can you correct the question. Something is wrong in the first line.

by Anindya Madhudor

Tue Dec 18, 2012 7:33 am
Forum: Data Sufficiency
Topic: Inequality DS.
Replies: 3
Views: 906

Statement I: 22=2*11 15z= 3*5*z 15 and 22 do not have any common factors. So, if 22 is a factor of 15Z, 22 has to be a factor of z. Sufficient. Statement II: Same logic as before. In this case, 22 and 16 have 2 as a common factor. So, 22 may or may not be a factor of z. For example, if z=11, then 2...

by Anindya Madhudor

Tue Dec 18, 2012 7:23 am
Forum: Data Sufficiency
Topic: Number Ds
Replies: 2
Views: 995

Let's analyze the first part of the given expression. 3^(4n + 2) can only have 9 as remainder when divided by 10. Pick any value to n to test this. The value of n is immaterial in this case. To evaluate the whole expression, we just need to know the value of m. If we know the value of m, we can add ...

by Anindya Madhudor

Sun Dec 16, 2012 3:45 am
Forum: Data Sufficiency
Topic: If n and m are positive integers , what is the reminder
Replies: 4
Views: 7001

Speed Distance

Train A leaves New York for Boston at 3 PM and travels at the constant speed of 100 mph. An hour later, it passes Train B, which is making the trip from Boston to New York at a constant speed. If Train B left Boston at 3:50 PM and if the combined travel time of the two trains is 2 hours, what time d...

by Anindya Madhudor

Sat Dec 15, 2012 1:37 pm
Forum: Problem Solving
Topic: Speed Distance
Replies: 1
Views: 850

Distance Speed

Stephanie, Regine, and Brian ran a 20 mile race. Stephanie and Regine's combined times exceeded Brian's time by exactly 2 hours. If nobody ran faster than 8 miles per hour, who could have won the race? i. Stephanie ii. Regine iii. Brian a. i only b. ii only c. iii only d. i or ii only e. i or ii or ...

by Anindya Madhudor

Sat Dec 15, 2012 1:29 pm
Forum: Problem Solving
Topic: Distance Speed
Replies: 2
Views: 1064

First, let's look at the given expression and try to express this as a product of prime factors. 450 y = n^3 => 5^2 * 3^2 * 2 y =n^3 Since, n is an integer, let us find some of the possible values of y. Y could be 5 * 3 * 2^2, in which case n= 5* 3 *2. Y could be 5^4 * 3 * 2^2, in which case n= 5^2 ...

by Anindya Madhudor

Fri Dec 14, 2012 11:34 am
Forum: Problem Solving
Topic: If n and y are positive integers and 450y=n^3, which of
Replies: 3
Views: 1263

Very confusing words indeed. Thank you. I was not thinking in that way.

by Anindya Madhudor

Fri Dec 14, 2012 11:09 am
Forum: Problem Solving
Topic: Probability
Replies: 2
Views: 991