Recent puzzles under tag algebra

+1 vote

Given the natural numbers x and y satisfy (1 + x!)(1 + y!) = (x + y)! What is the value of x + y?

posted Apr 30, 2019 by anonymous

+1 vote

Let Ln denote the arc length of the curve x^2n + y^2n = 1 where n is a positive integer. Find Lim (n->∞) Ln

posted Apr 26, 2019 by anonymous

0 votes

a,b,c,d are distinct pairwise co-prime +ve integers with a^2 + b^2 = c^2 + d^2, lowest possible value of a + b + c + d?

posted Apr 26, 2019 by anonymous

0 votes

A be a 2x3 matrix and B 3x2 matrix. If AxB and BxA both defined and determinant of matrix AxB is 4...

posted Apr 3, 2019 by anonymous

+1 vote

A 50 digit number, divisible by 13 , is as follows

posted Apr 3, 2019 by anonymous

+2 votes

If a + b + ab = 2019, where a,b are positive integers, find the sum of all possible values of a ?

posted Feb 4, 2019 by anonymous

+1 vote

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

posted Jan 17, 2019 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

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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 ********** 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