Recent puzzles under tag algebra

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Let α = log10 2, β = log10 3, γ = log10 7. Which of the following choices is closest to an integer?

posted Dec 18, 2024 by Puneet Batra

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Solve for all real numbers x such that (x2 – 7x + 11)(x2 – 11x + 30) = 1

posted Dec 18, 2024 by Sidharth Malhotra

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If x2 – 3x + 1 = 0, then find the value of x5 + 1/x5.

posted Dec 17, 2024 by Brijesh Talwar

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The problem is: 2x + x = 5

posted Nov 22, 2024 by Rajni

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Can you decipher below algebraic riddle below?

posted Oct 3, 2024 by Vishal

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Solve for all real values of x such that: √(1 + √(1 + x)) = ∛x

posted Aug 2, 2024 by Maninder Bath

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What is the shortest distance between circle A defined by (x − 5)2 + (y − 4)2 = 4 and circle B defined by (x − 1)2 .....

posted May 7, 2024 by Yogeshwar Thakur

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If f(x) = 4x/(4x + 2), then what is the value of:

posted Feb 23, 2024 by Dilbagh

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Solve for positive real values of x such that: xx8 = 8

posted Nov 24, 2023 by Nikita Sehgal

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Solve for all real values of x such that 9x + 12x = 16x

posted Nov 15, 2023 by Riteshwar

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Solve for all real values of x such that (8x – 2x)/(6x – 3x) = 2

posted Nov 15, 2023 by Kapil Kapoor

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For what real value of x is......

posted Oct 6, 2023 by Aastha Joshi

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The line 2x – y + 1 = 0 intersects the curve x2 + 3y = 19 at the points A and B. The perpendicular bisector of AB......

posted Jul 15, 2023 by Vishal

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In a town, there are four houses located at different distances from each other. Following are the distances:.......

posted Feb 9, 2023 by Sandeep Bedi

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Find the integer closest to a3 + b3 + c3.

posted Dec 2, 2022 by Prithvi

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Find all non-negative integers a and b such that: √a + √b = √2023

posted Oct 27, 2022 by Pardeep Kohli

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Solve for all real numbers x, y such that: 16x2 + y + 16x + y2 = 1

posted Oct 12, 2022 by Mishthy Mukherjee

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For real numbers x, y, what is the minimum value of...........

posted Jun 14, 2022 by Sidharth Malhotra

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If a + b = 40 and a2 + b2 = 872, then a3 + b3 = ?

posted May 31, 2022 by Pardeep Kohli

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

posted May 10, 2022 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, 2022 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, 2022 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, 2022 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

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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

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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

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

posted Oct 18, 2019 by Parampreet Kaur

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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

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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

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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

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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