How many distinct geometric progressions are there, such that the first term is 1, the last term is 1024 and every term is an integer?
Details and assumptions
The terms need not be positive.
It is given that the cubic polynomial f(x) has real coefficients, and f(x)=0 has a complex root 15−14i. If the sum of all the complex, non-real roots of f(x)=0 can be written as a+bi, what is the value of a+b?
The quadratic polynomial f(x)=x^2+4x+52 has a complex root z. What is the value of N(z)?
a hotel incurs two types of expenses, one fixed other depend on no. of guests...
when guests are 10, total expense= 6000 rupees,
when guests are 25, av. expense her head = 360 Rs.
total expense, when no. of guests are 40?
1) 8000
2) 10000
3) 24000
4) 16000
At least one of the two quadratic equations
x^2−2ax+4=0andx^2−2ax+2a+3=0has complex, non-real roots. How many integers a will satisfy the condition?
the ratio of cu and nickel by weight in the two alloys xand y are 2:7 and 5:4. How many kg of alloy x and y required to make 42 kg of new alloy Z in which ratio of cu and nickel is same?
Find the least value of x² + 4y² + 9z², if x + y + z = 14
👍If x² + y² - 6x + 4y = 4, find the maximum value of 3x + 4y.
👍Find remainder when 33333333......86 times is divided by 13
👍For how many ordered triples of positive real numbers(a,b,c), do the equations ax^2+2bx+c, bx^2+2cx+a and cx^2+2ax+b each have 2 distinct real roots?
Details and assumptions
The real roots to each of the equations need not be the same.
can we compare complex numbers? when do we say one complex number is greater than or less than the other? (the modulus?)
N= 888222888222888222............888222.............(9235 digits)
when N is divided by 125, what is the remainder?
Find the maximum and minimum values of (7sine theta + 25Cos theta)??
every person shakes hands with every other person... if there are total 120 handshakes...den number of people ?
16
17
20
none
The question given below is followed by two statements, A and B. Mark the answer using the following instructions:
Mark (a) if the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone
.Mark (b) if the question can be answered by using either statement alone.
Mark (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Mark (d) if the question cannot be answered even by using both the statements together.
Q. N is a natural number that has exactly 24 factors. What is the number of factors of N^3?
A. When N is multiplied by 3, the resultant number has 32 factors.
B. When N is multiplied by 5, the resultant number has 30 factors.
In a parallelogram PQRS, X is any point in its interior. If area of PQRS = 36 cm2, then area of ΔPXS + area of ΔRXQ is :
a. 9 cm2b. 12 cm2c. 18 cm2d. 27 cm2
How many ordered pairs (a,b) of positive integers satisfy a^b=64?
Originally posted by @leodash
Two equally matched teams are playing a game of volleyball. Each team has a 12 chance of winning each point. The game ends once one of the teams gets to a score of 21. If the score is currently 18-16 for team A, the probability that team A will win the game can be expressed as ab where a and b are coprime positive integers. What is the value of a+b?Details and assumptionsClarification: Team A currently has 18 points, expressed via "18-16 for team A".
Donot know the OA
my take 99/128 (Not sure