Number Systems, Progressions

in an infinte gp series every term is the sum of the terms that follow. find the common ratio of the gp series.

  • 1/4
  • 1/2

0 voters

An Indian king was born in a year that was a square number, lived a square number of years and died in a year that was also a square number. Then the year he could have been born in was



  • 1444
  • 1600
  • 1764
  • 1936

0 voters

N = 7777………………7777, where the digit 7 repeats itself 429 times. What is the remainder left when N is divided by 1144?


kindly share the approach in detail....

The sum of 20 distinct numbers is 801. What is their minimum LCM possible?

  • 280
  • 296
  • 360
  • 320

0 voters

How many ordered triples of three positive integers (a, b, c) exist such that a³ + b³ + c³ = 2011?

Find the last 2 digits of 754^711.

if f(2x) = 16x^3 + 20x, find f(3x). pls show solutions.

simplify:(4+2*3^1/2) + (√19-8*3^1/2) note: all numbers are inside the radicals.pls. show solutions.

Let f(x) be a linear function whose graph passes through the points (-1, -3) and (4, 7), find the value of f(10) - f(1)/10-1. solutions pls.

any one pls help me how of solved the following?

Q1. How Many 9′s are there in the expansion of (99999899999)^2 ?

Q2. which of the following is the largest ?

a) (2)^(1/2)

b) (5)^ (1/3)

c) (8) ^ (1/4)

d) (11)^(1/5)


Q3. The largest Power of 2 that divides (2^2008 + 10^2008 ) is

a) 2^2008

b) 2^ 2009

c) 2^2010

d) 2^2011

If cos 2A= root(m), find cos 8A in terms of m. Solutions pls.

Find the value of expression: sin^2 0° + sin^2 1° + sin^2 3° ... + sin^2 90°. solutions pls.

If a circle passes through the points (0,2), (6,9), (3, -4), what is the center of a circle? pls. show solution.

If cos2A= root(m), what is cos8A in terms of m? pls. show solution

Given the Triangle whose vertices are the points A(0,4), B(-4,-4), and C(6,1). find the radius that can be inscribed inside the triangle?. show solutions.

@Nosli

If cos 2A= root(m), find cos 8A in terms of m. Solutions pls.



2(2m-1)^2-1

After striking the floor, a ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres.

  • 1080 m
  • 1120 m
  • 540 m
  • 960 m

0 voters

There is a 7-digit telephone number with all different digits. If the digit at extreme right and extreme left are 5 and 6 respectively, find how many such telephone numbers are possible?


  • 120
  • 6720
  • 1,00,000
  • 30,240

0 voters

A speaks the truth 3 out of 4 times, and B 5 out of 6 times. What is the probability that they will contradict each other in stating the same fact?


@abitmaverick

There is a 7-digit telephone number with all different digits. If the digit at extreme right and extreme left are 5 and 6 respectively, find how many such telephone numbers are possible?

0 answers 1) 120



0 answers 2) 1,00,000



2 answers 3) 6720



0 answers 4) 30,240



8!/3!