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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
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"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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Partially correct! Well done!

862. Find the number of solutions of

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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**irspow****Member**- Registered: 2005-11-24
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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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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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Hi,

Good work!

863. Find the unit digit of the expression

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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: 1,055

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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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 42,279

Hi,

Excellent!

864. If (a + b + c) = 42, then find the maximum value of (a - 12)(b + 14)(c - 8)

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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**irspow****Member**- Registered: 2005-11-24
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What are the restrictions on a, b, and c? All positive, all different, all integers, zeros allowed? There will be several answers depending on the restrictions.

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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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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Hi irspow,

865. How many numbers between 400 and 800 are divisible by 4, 5, and 6?

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

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**irspow****Member**- Registered: 2005-11-24
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*Last edited by irspow (2021-02-02 04:00:35)*

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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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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Hi,

865. Find three consecutive numbers such that twice the first, three times the second, and four times the third together make 191.

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: 1,055

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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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 42,279

Hi,

Neat work!

866. The product of three consecutive odd numbers is 24273. Find the smallest number.

a) 25

b) 29

c) 23

d) 37

e) 27

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: 1,055

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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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 42,279

Hi,

Excellent!

867. How many natural numbers are there lying between 134 and 467 which are divisible by 7?

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: 1,055

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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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 42,279

Hi,

Neat work!

868. By how much is one-fourth of 428 smaller than five-sixth of 216?

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: 1,055

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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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 42,279

Hi,

Good work!

869. The product of the consecutive numbers is 3360. Which is the least number?

a) 17

b) 14

c) 13

d) 16

e) None of these.

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

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**Denominator****Member**- Registered: 2009-11-23
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Hello,

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 42,279

Hi,

Neat work!

870. What is the smallest number by which 4320 be divided to make it a perfect cube?

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: 1,055

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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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 42,279

Hi,

Excellent!

871. Find the least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4, and 3?

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: 1,055

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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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 42,279

Hi,

Neat work!

872. What is the least number to be added to 4523 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: 1,055

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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