Recent puzzles under tag algebra

+1 vote

Find a value of x where 4^x and 5^x consist of the same digits in different order

posted 1 day ago by Hanifa Mammadov

+1 vote

Positive real numbers x and y are such that x^2 - 2x + 4y^2 = 0. Find the maximum value of xy?

posted Dec 5, 2018 by anonymous

0 votes

How many factors of 953990136 are odd numbers?

posted Nov 1, 2018 by anonymous

+1 vote

Does there exist a right triangle composed of rational side lengths that has an area of 5?

posted Nov 1, 2018 by anonymous

+1 vote

Find the integer value of x for which the area of a triangle with sides 9, 40x and 41x is maximized?

posted Nov 1, 2018 by anonymous

0 votes

If one root of the polynomial equation x^3 + 4x^2 + x - 6 is 1, what are the other two roots?

posted Oct 18, 2018 by anonymous

0 votes

What is the result when x^3 - 3x^2 + 3x - 1 is divided by x - 1

posted Oct 18, 2018 by anonymous

0 votes

You have 10 positive integers that each have d digits. What is minimum number of digits the sum will have in terms of d?

posted Oct 16, 2018 by anonymous

+1 vote

Find the value of n where (225)base n = 149

posted Oct 12, 2018 by anonymous

–1 vote

For n > 1 is there any number for which n! is a perfect square?

posted Sep 21, 2018 by anonymous

0 votes

1/x+1/3=1 find x

posted Sep 20, 2018 by Durga Srinu

0 votes

An infinite geometric series has sum 2014. If the sum of their squares is also 2014, find the first term?

posted Sep 18, 2018 by anonymous

0 votes

What is the greatest number of pieces you can buy for exactly Rs 50/-?

posted Sep 17, 2018 by Harshita Dhaliwal

+1 vote

If x=a+b+c then what is the value of (x-a)^3 + (x-b)^3 + (x-c)^3 - 3(x-a)(x-b)(x-c) = ?

posted Sep 12, 2018 by anonymous

0 votes

How many days will 5 men and 15 women take to do it?

posted Sep 4, 2018 by Mishthy Mukherjee

+1 vote

How do I write x times 7 is greater than or equal to 17 in algebraic expression?

posted Aug 26, 2018 by anonymous

0 votes

If one root of equation 5x^2 +13x + k = 0 is reciprocal of the other root, then what is the value of k?

posted Aug 26, 2018 by anonymous

0 votes

If log3 y = x and log2 z = x, then 72^x = ?

posted Aug 26, 2018 by anonymous

0 votes

Next three consecutive positive integers (after 1,2,3) where sum of individual cubes is equal to a perfect square?

posted Aug 16, 2018 by anonymous

0 votes

If x, y, z are natural numbers, then how many number of different solutions of the equation x+y+z=6 are possible?

posted Aug 6, 2018 by anonymous

0 votes

If 2x+2/x=3, then what is the value of x^3 + 1/x^3 + 2 = ?

posted Jul 31, 2018 by anonymous

0 votes

If one of the roots of the quadratic equation 2x^2 + px + 4 = 0 is 2, then what is the other root of the equation?

posted Jul 31, 2018 by anonymous

+1 vote

How many days will 15 women and 5 men take to do it?

posted Jul 12, 2018 by Basabdatta Mukherjee

0 votes

If A = 3 and B = 4 + i, A/B = ?

posted Jul 10, 2018 by anonymous

0 votes

What would be the reminder when x^1001 - 1 is divided by x^4 + x^3 + 2x^2 + x + 1?

posted Jul 5, 2018 by anonymous

0 votes

How many boys and girls were in the group?

posted Jul 5, 2018 by Tapesh Kulkarni

0 votes

Find the number of positive integral ordered pairs a, b satisfying the equation a^b + b^a = 100

posted Jun 16, 2018 by anonymous

0 votes

What is the value of X?

posted Jun 15, 2018 by Aman

0 votes

If a^2 + b^2 + C^2 = 9 then what is the max value of 2(a + b + c) - abc where a,b,c are real numbers?

posted Jun 7, 2018 by anonymous

0 votes

How many factors of 1907980272 are even numbers?

posted Jun 7, 2018 by anonymous

+1 vote

If a,b and c are positive real numbers, such that (1+a)(1+b)(1+c) = 8 then the maximum value of a.b.c

posted May 31, 2018 by Varuna Magar

+1 vote

If integers x and y are such that xy+1 is divisible by 24 then is x+y also divisible by 24?

posted May 31, 2018 by anonymous

+1 vote

A circle of radius 1 is tangent to the parabola y=x^2 as shown. Find the gray area between the circle and the parabola?

posted May 25, 2018 by anonymous

+1 vote

The temperature on a unit sphere x^2 + y^2 + z^2 = 1, is given by a temperature distribution T(x,y,z) = 50.(xy + yz)...

posted May 24, 2018 by Rahul Chandel

0 votes

If log 27 = 1.935, then what is the value of log 9

posted May 23, 2018 by anonymous

0 votes

What would be the sum of all positive integers n such that 20n and 5n+275 both are perfect squares?

posted May 21, 2018 by Samardeep Acharya

0 votes

If A != B and A^n + B^n is an integer for all positive integers n, must A and B both be the integers? [MCQ]

posted May 17, 2018 by Mohammad

+1 vote

If a^b = 1; b^c = 2 and c^a = 3 and a,b,c are rational number then what is a + b + c = ?

posted May 16, 2018 by anonymous

0 votes

What is the least positive integer n such that n!(n+1)!(2n+1)! - 1 yields a number ending with thirty digits of 9's?

posted May 3, 2018 by anonymous

0 votes

What is the domain of the function log(log(sinx))?

posted May 2, 2018 by anonymous

+2 votes

Find natural number n such that (5n)! has 2018 trailing 0's?

posted Apr 30, 2018 by anonymous

0 votes

Find the minimum value of n such that the equation 10^n/x = 1989 has an integer solution x where n is a natural number?

posted Apr 25, 2018 by anonymous

0 votes

What is the coefficient of x^203 in the expression: (x-1)(x^2-2)(x^3-3)...(x^20-20)

posted Apr 22, 2018 by anonymous

0 votes

Find the value of each and then find the value of the missing number.

posted Apr 19, 2018 by Akriti

0 votes

A line makes angles A, B, C, D with four diagonals of a cube, then find value of Cos^2 A + Cos^2 B + Cos^2 C + Cos^2 D

posted Apr 7, 2018 by anonymous

0 votes

Let a1 and a2 be the roots of equation (x- a)(x - b) = c then what are the roots of equation (x - a1)(x - a2) + c = 0?

posted Apr 1, 2018 by anonymous

+1 vote

If the difference between the roots of the equation x^2 + px + 8 = 0 is 2 then what is the possible value if P?

posted Apr 1, 2018 by anonymous

0 votes

What is the remainder in terms of x when x^1999 is divided by (x^2 - 1)?

posted Apr 1, 2018 by anonymous

+1 vote

If a + b + c = 7, a^2 + b^2 + c^2= 35 and a^3 + b^3 + C^3 = 151 then find the value of abc?

posted Apr 1, 2018 by anonymous

+1 vote

L.C.M of two numbers is 156 and their H.C.F is 2. If the sum of the numbers is 38, then what is their difference?

posted Mar 13, 2018 by anonymous