Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,093

1. If

be the sum of n terms of three arithmetic series, the first term of each being 1 and the common differences being 1, 2, and 3 respectively, prove that.

2. Find the value of

if.

3. Find 5 numbers in Geometric Progression such that their product is 32 and the product of the last two numbers is 108.

4. Using Venn Diagram, veriy

5. Given f(x) = 5x+2, g(x) = 2x-3, h(x) = 3x+1, verify

fo(goh) = (fog)oh.

6. Roger borrowed $6000 at 6% simple interest per anum and immediately lent it to Neil at 6% compound interest. How much did Roger gain after 3 years?

7. Martin invested $500 every month for 2 years in a bank and collected $12500 at the end of two years. What is the rate of simple interest paid by the bank on the recurring deposit?

8. Through a pipe of diameter 14 centimeters, water flows uniformly at the rate of 3 kilometers per hour. How much water would flow through it in 10 minutes?

9. A hollow spherical shell has an inner radius of 8 centimeters. If the volume of the material used is

cubic centimeters, what is the thickness of the shell?10. A sector containing an angle of 90° is cut from a circle of radius 20 centimeters and folded into a cone. Find the curved surface area of the cone.

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.

Offline

**Identity****Member**- Registered: 2007-04-18
- Posts: 934

By

do you mean ?Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,093

Yes, Identity. Thats how its written here, in India.

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.

Offline

Pages: **1**