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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,480

Keep trying!

850. P and Q roll a pair of dice one after the other. If P throws 5 before Q throws 6, P wins but if Q throws 6 before P throws 5, Q wins. If P throws first, find their respective chances of winning.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**irspow****Member**- Registered: 2005-11-24
- Posts: 803

*Last edited by irspow (2021-01-14 07:20:14)*

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,480

Hi,

851. A letter is selected at random from 'Malignant' and another is selected from 'Negligent'. Find the probability of having the same letters.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**zainyusufazam****Member**- From: Canada eh?
- Registered: 2021-01-14
- Posts: 6

hi, I'd like to try

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**irspow****Member**- Registered: 2005-11-24
- Posts: 803

As to 850, I know where I made a false assumption that rolls alternated regardless of who won. Under that assumption P(P) and P(Q) were indeed 4/9 and 5/9 respectively. However if P always rolls first after a win we see:

I think

*Last edited by irspow (2021-01-15 11:47:22)*

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,480

Hi zainyusufazam and irspow,

Neat work!

852. Find the probability of all the Ss coming together in the word 'ASSISTANCE'.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 621

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,480

Keep trying!

853. From a pack of 52 cards, two cards are drawn one by one without replacement. Find the probability of both being Jacks.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**irspow****Member**- Registered: 2005-11-24
- Posts: 803

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,480

Good work!

854. Find the sum of all the factors of 36000 which are multiples of 10.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**irspow****Member**- Registered: 2005-11-24
- Posts: 803

Stumped I could brute strength it, but I know there is an elegant solution that I am missing as 2^5(3^2)5^3 has something around 45 factors of ten. Can I cheat and take ALL factors as literal including negatives? Then the sum would equal zero?

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,480

Hi,

855. Find the remainder when

is divided by 5.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**irspow****Member**- Registered: 2005-11-24
- Posts: 803

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,480

Neat work!

856. Find the number of factors in the expression

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 621

*Last edited by 666 bro (2021-01-20 20:38:30)*

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,480

Keep trying!

857. Find the smallest number with which 1360800 must be multiplied or divided to make it a perfect square.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**irspow****Member**- Registered: 2005-11-24
- Posts: 803

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,480

Hi,

Splendid!

858. Given

how many zeroes are there at the end of y?Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**irspow****Member**- Registered: 2005-11-24
- Posts: 803

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,480

Hi,

Excellent!

859.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**irspow****Member**- Registered: 2005-11-24
- Posts: 803

*Last edited by irspow (2021-01-23 09:57:58)*

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,480

Hi,

Excellent!

860. What least number must be added to 5361, to make it exactly divisible by 34?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**irspow****Member**- Registered: 2005-11-24
- Posts: 803

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 621

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,480

Hi irspow and 666 bro,

Neat work!

861. By what number is divisible by

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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