Recent puzzles under tag algebra

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If x, y, and z are integers, find all solutions to: 3x + 4y = 5z

posted May 10 by Puneet Batra

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Suppose α, β, γ are roots of the equation: x3 + 3x2 – 24x + 1 = 0, Find the value of ∛α + ∛β + ∛γ

posted Apr 9 by Upma

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Two distinct pints (a,b) and (b,c) lie on the line y = -x + 5. What is the value of (a - c)?

posted Mar 2 by Samardeep Acharya

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Three non negative numbers A, B and C are such that the mean is X and the median............Find the value of A + B + C.

posted Jan 12 by Saif Khanam

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If A, B, and C are rational numbers, solve for the value of A + B + C.

posted Dec 15, 2021 by Vikram Luthra

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If, A + A + A = 3; B + B + A = 5; C + C + B = 8; Then, A + B x C = ?

posted Nov 25, 2021 by Sandeep Otari

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You can use any mathematical symbols in the space provided to make all algebraic expressions true.

posted Oct 27, 2021 by Swati Arora

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How many days are required to complete the same full work by taking 10 men and 30 women?

posted Aug 17, 2021 by Mridul

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A number (x) is 3 less than the thrice of other number (y) and sum............What is the value of x and y respectively?

posted Jul 22, 2021 by Varun Kumar

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Suppose a and b are real numbers such that: a√a + b√b = 183 b√a + a√b = 182 What is the value of (9/5)(a + b)?

posted Jul 22, 2021 by Harshita Dhaliwal

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What is the area of the resulting hexagon, as shown below?

posted Mar 11, 2021 by Swati Arora

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In a school, 442 boys and 374 girls have been divided into the largest possible...........What is the number of classes?

posted Feb 26, 2021 by Samardeep Acharya

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If x = 3 - a and y = 4a + 13, then for what value of a, x and y are equal?

posted Nov 26, 2020 by Harshita Dhaliwal

+1 vote

If 6x - 4y = 8; 8x = 5y + 13 Then what is the value of 6x - 3y?

posted Oct 9, 2020 by Pankaj Deshmukh

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What is the product of sum of roots and product of roots of below quadratic equation : x2 - 5x + 6 = 0

posted Jun 30, 2020 by Pankaj Deshmukh

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What is the minimum possible value of p?

posted Apr 20, 2020 by Dilbagh

+1 vote

Suppose: ax + by = 5; ax2 + by2 = 10; ax3 + by3 = 50; ax4 + by4 = 130; then calculate the value of below equation?

posted Apr 14, 2020 by Ankur Athari

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The sum of squares of three successive integers is 99374. What is the sum of these integers?

posted Mar 18, 2020 by Pankaj Deshmukh

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Can you solve the below Algebraic equation?

posted Feb 14, 2020 by Varun Kumar

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Given that (3x - 8) * (3x + 2) - (4x - 11) * (2x + 1) = (x - 3) (x + 7). What is the value of 9x?

posted Jan 9, 2020 by Mridul

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If x + y + z = 9 and xy + yz + zx = 20, find the value of x^3 + y^3 + z^3 - 3xyz.

posted Jan 8, 2020 by Vishal

+1 vote

If 124 + 0 = 15; 246 + 0 = 32; 357 + 0 = 40 Then 468 + 0 = ?

posted Oct 18, 2019 by Parampreet Kaur

+1 vote

How many pairs of positive integers (m, n) that satisfy mn + 3m - 8n = 59?

posted Sep 30, 2019 by anonymous

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What is the shortest distance between the circle x^2 + (y+6)^2 = 1 and the parabola y^2 = 8x?

posted Sep 26, 2019 by anonymous

+1 vote

If a^2 + b^2 + ab - b = 17, where a and b are integers, what is the sum of all possible values of a?

posted Sep 4, 2019 by anonymous

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Find the smallest positive integer that is exactly half the sum of its proper divisors?

posted Sep 3, 2019 by anonymous

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When x^9 - x is factorized as completely, how many factors are there?

posted Aug 14, 2019 by anonymous

+1 vote

If there exists only one ordered pair of natural number (x, y) : x^3 - y^3 = xy + 61 then find xy?

posted Jun 17, 2019 by anonymous

+1 vote

If (x)^(1/3) + (1/x)^(1/3)= 3 then x^3 + (1/x)^3 = ?

posted Jun 17, 2019 by anonymous

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How many triples (a, b, c) of integers exists such that a^4 + b^3 = c^2

posted Jun 17, 2019 by anonymous

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Give positive numbers a, b and c are such that ab + bc + ca + abc = 4, What is the value of 1/a+2 + 1/b+2 + 1/c+2 = ?

posted Jun 6, 2019 by Aman

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How does a*b relates to a^2 and b^2 ?

posted May 10, 2019 by anonymous

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If x^3 -1 is a factor of x^6 + a.x^4 + b.x^3 + c.x^2 + 3x + 2 then find the value of ab + bc + ac?

posted May 7, 2019 by anonymous

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How many bags did he use after the distribution?

posted May 7, 2019 by anonymous

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A sequence contains terms that doesn't have any perfect square factors (except 1). 2, 3, 5, 6, 7, 10, 11, 13, 14, 15...

posted May 7, 2019 by anonymous

+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

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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

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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

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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

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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

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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