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

You are not logged in.

- Topics: Active | Unanswered

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

Answers to #133, and #134:-

Both correct, JaneFairfax!

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

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

#137. What is the value of

#138. If

,then what is the value of ?

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

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

#139. What is the least value of

#140. What is the greatest value of

#141. What is the least value of

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

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

Answers to #137, #138, and #139:-

All correct, JaneFairfax!!!

#142. If

, what is the value of?

#143. Find the value of

if.

#144. Find N if q - p = 4,

#145. If

find the value of

.

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

#146. Find the value of 'a' such that the lines

and

are concurrent.

#147. For all values of

, the straight linepasses through a fixed point. Find the co-ordinates of the fixed point.

#148. Find the ratio in which the line 3x - 2y + 5 = 0 divides the line joining the points (6, -7) and (-2, 3).

#149. Prove that the lines

, and

are concurrent.

#150. Find the equation of the straight line, the portion of which between the axes is divided by the point (4, 3) in the ratio 2:3.

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

#151. What is the number of real solutions of

#152. How many 3 digit numbers, each less than 600, can be formed using the digits {1,2,3,4,7,9}, if repetition of digits is not allowed?

#153. What is y equal to (in terms of x) if |y| < 2 and

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

#154. What is the Arithmetic Mean of

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

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

Answers to #149, #151, #152, #153, and #154:-

All the answers arew correct, JaneFairfax!

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

#155. What is the value of

#156. What is the value of

#157. The complex numbers

are the vertices of a triangle satisfying the equation.

What can be said about the triangle?

#158. The sum of the first four terms of an Arithmetic Progression is 56 and the sum of the last four terms is 112. If the first term of the Arithmetic Progression is 11, how many terms are there in the Arithmetic Progression?

#159.

are in(1) Arithmetic progression

(2) Geometric Progression

(3) Harmonic Progression

(4) None of these

#160. If a, b, c are in Geometric Progression, then

(1) Arithmetic progression

(2) Geometric Progression

(3) Harmonic Progression

(4) None of these

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

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

Answers to #155, and #156:-

Both correct, JaneFairfax!

#157. What is the value of

if?

#158. What is th value of a:b if f(3+2i) = a + ib and

#159. What is the value of

if?

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

#160. What is the quadratic equation whose roots are the reciprocal of the roots of the equation

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

#161. If n is a natural number, what is the last digit of

#162. If

is the term in the expansion of , what is the value of ?Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

#163. What is the value of

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

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

Answer to #163:-

You're perfectly right, JaneFairfax!

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

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

Answer to #160:

Absolutely right, JaneFairfax!

#164. What is the value of

#165. If x is a positive integer such that 2x+12 is perfectly divisible by x, what is the maximum number of possible values of x?

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

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

Answer to #164:-

Perfectly right, JaneFairfax!

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,357

#166. What is the remainder obtained when

#167. What is the remainder obtained when

#168. What is the remainder obtained when

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

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Offline