Answers to #133, and #134:-
Both correct, JaneFairfax!

#139. What is the least value of

?

#140. What is the greatest value of

?

#141. What is the least value of

?

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

.

#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

?

#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

are in
(1) Arithmetic progression
(2) Geometric Progression
(3) Harmonic Progression
(4) None of these

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

?

#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

?

#166. What is the remainder obtained when

?

#167. What is the remainder obtained when

?

#168. What is the remainder obtained when

?